https://www.speedsolving.com/wiki/api.php?action=feedcontributions&feedformat=atom&user=PeterboneSpeedsolving.com Wiki - User contributions [en]2026-10-22T16:17:46ZUser contributionsMediaWiki 1.43.8https://www.speedsolving.com/wiki/index.php?title=Computer_cubes&diff=21587Computer cubes2012-07-30T13:29:00Z<p>Peterbone: </p>
<hr />
<div>'''Computer cubes''' are computer simulators of twisty puzzles. Although not all twisty puzzles are cubical, "computer cubes" is used as the blanket term.<br />
<br />
== Notable solvers ==<br />
* [[Andy Tsao]]<br />
* [[Michał Halczuk]]<br />
* [[Michał Pleskowicz]]<br />
* [[Michael Gottlieb]]<br />
* [[Phillip Espinoza]]<br />
* [[Robert Yau]]<br />
* [[Timothy Sun]]<br />
<br />
== List of computer cubes ==<br />
* [http://hi-games.net/cube/ Ryan Heise's hi-games]<br />
* [http://www.ryanheise.com/cube/blind.html Ryan Heise's 3x3 BLD sim]<br />
* [http://users.skynet.be/gelatinbrain/Applets/Magic%20Polyhedra/ Gelatinbrain for many puzzles]<br />
* [http://www.ocf.berkeley.edu/~jfly/projects/qqTimer/qqTimer.htm Jeremy Fleischman's jflySim + qqTimer]<br />
* [http://www.speedsolving.com/forum/showthread.php?4688-NxN-Clock-Simulator Mitchell Stern's NxN clock simulator]<br />
* [http://snk.digibase.ca/qcube/ Michael Gottlieb's qCube, qCubeFloppy, and qCubeIllusion]<br />
* [http://owenlennon.com/cube/floppysim/ Owen's Floppy cube simulator (1.3)]<br />
* [http://www.motus-software.com/rubix.htm Windows Rubix simulator for cubes from 2x2x2 to 50x50x50]<br />
<br />
{{Stub}}</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=21250First Two Layers2012-06-06T10:36:29Z<p>Peterbone: /* F2L 13 */</p>
<hr />
<div>{{Method Infobox<br />
|name=F2L<br />
|image=F2Linfo.png<br />
|proposers=[[René Schoof]]<br />
|year=1981<br />
|anames=<br />
|variants=[[ZBLS]], [[VHF2L]], [[WV]], [[MGLS]], possibly others<br />
|steps=1<br />
|algs=42<br />
|moves=7.8 [[HTM]] a slot<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br />
<br />
The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br />
<br />
[[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br />
<br />
<br clear=all><br />
== Approaches ==<br />
<br />
=== Petrus F2L ===<br />
<br />
Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br />
<br />
=== Fridrich F2L ===<br />
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br />
<br />
The concept of pairing up four corner/edge pairs was first proposed by [[René Schoof]] in 1981.<br />
<br />
{{F2L}}<br />
<br />
==Easy Cases==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 1 ===<br />
[[Image:F2L01.png]]<br />
<br />
{{Alg|U (R U' R')|F2L}}<br />
{{Alg|R' F R F'|F2L}}<br />
{{Alg|U2 (R U2 R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 2 ===<br />
[[Image:F2L02.png]]<br />
<br />
{{Alg|y' U' (R' U R)|F2L}}<br />
{{Alg|U' (F' U F)|F2L}}<br />
{{Alg|F R' F' R|F2L}}<br />
{{Alg|d' L' U L|F2L}}<br />
{{Alg|r U R' U' M|F2L}}<br />
{{Alg|(U2) l R U' R' U l'|F2L}}<br />
{{Alg|(U2) l2 F' l' U l'|F2L}}<br />
{{Alg|(U') F R' F' R2 U' R'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
{{Alg|y (L' U' L)|F2L}}<br />
{{alg|F' U' F|F2L}}<br />
{{Alg|U M R U' R' U M'|F2L}}<br />
{{Alg|U r' R2 U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 4 ===<br />
[[Image:F2L04.png]]<br />
<br />
{{Alg|(R U R')|F2L}}<br />
{{Alg|(U2) L (R U' R') U L'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 5 ===<br />
[[Image:F2L05.png]]<br />
<br />
{{Alg|(U' R U R') U2 (R U' R')|F2L}}<br />
{{Alg|(U' R U R') U (R' F R F')|F2L}}<br />
{{Alg|F2 (L' U' L U) F2|F2L}}<br />
{{Alg|L U' R U L' R' U2 R U' R'|F2L}}<br />
{{Alg|U' (R U R') U' R U2 R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 6 ===<br />
[[Image:F2L06.png]]<br />
<br />
{{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br />
{{Alg|U' (r U' R' U) (R U r')|F2L}}<br />
{{Alg|R2 (B U B' U') R2|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br />
{{Alg|U' R U2 R' U' R U2 R'|F2L}}<br />
{{Alg|M' U' M U2 r U' r'|F2L}}<br />
{{Alg|R U B U2 B' U R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 8 ===<br />
[[Image:F2L08.png]]<br />
<br />
{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br />
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br />
{{Alg|y' R' U' F' U2 F U' R|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge and Flip Corner==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 9 ===<br />
[[Image:F2L09.png]]<br />
<br />
{{Alg|U' R U' R' d R' U' R |F2L}}<br />
{{Alg|d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br />
{{Alg|U r U R' U' R2 r' U' R'|F2L}}<br />
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|F (R U R' U') F' R U' R'|F2L}}<br />
{{Alg|(U F' U' F) U' (F' U' F)|F2L}}<br />
{{Alg|F2 (U R U' R') F2|F2L}}<br />
<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
{{Alg|R d' R U R' U2 F'|F2L}}<br />
{{Alg|U F' U F U' R U R'|F2L}}<br />
{{Alg|d R' U R d' R U R'|F2L}}<br />
{{Alg|y2 B2 (U' R' U R) B2|F2L}}<br />
<br />
Back Right Slot Open: R' U R2 U R'<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 11 ===<br />
[[Image:F2L11.png]]<br />
<br />
{{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br />
{{Alg|(y) L' d L' U2 L U2 F|F2L}}<br />
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|U (F R' F' R)2 U' R U R'|F2L}}<br />
{{Alg|(y') R U2 R2 U' R2 U' R'|F2L}}<br />
{{Alg|U' l F U' R U l' U R'|F2L}}<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br />
{{Alg|R' U2 R2 U R2 U R|F2L}}<br />
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br />
<br />
Back right slot open: R' U2 R2 U R'<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 13 ===<br />
[[Image:F2L13.png]]<br />
<br />
{{Alg|d (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|(U F' U F) U' (F' U' F)|F2L}}<br />
{{Alg|M' U' (R U R') U' (R U2 r')|F2L}}<br />
{{Alg|(R U' R') U (R' F R F') (R U' R')|F2L}}<br />
{{Alg|(R U R') d' (L' U' L U) (L' U' L)|F2L}}<br />
{{Alg|(R U' R' U2)(R U' l U' R' U l')|F2L}}<br />
Back right slot open : R' U R F' U' F<br />
<br />
|<br />
<br />
=== F2L 14 ===<br />
[[Image:F2L14.png]]<br />
<br />
{{Alg|U' (R U' R' U)(R U R')|F2L}}<br />
{{Alg|d' F U' F' d R U R'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Split Pair by Going Over==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 15 ===<br />
[[Image:F2L15.png]]<br />
<br />
{{Alg|M U L F' L' U' M'|F2L}}<br />
{{Alg|U (R' F R F') U (R U R')|F2L}}<br />
{{Alg|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br />
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br />
{{Alg|R B L U' L' B' R'|F2L}}<br />
Front left slot open: U (R U' R') D (R U' R') D'<br />
<br />
<br />
|<br />
<br />
=== F2L 16 ===<br />
[[Image:F2L16.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R)|F2L}}<br />
{{Alg|(R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}<br />
{{Alg|(U) R (F R U R' U' F') R'|F2L}}<br />
{{Alg|(U) M' (U R U' r') (U' R U R')|F2L}}<br />
{{Alg|F' L' B' U B L F|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 17 ===<br />
[[Image:F2L17.png]]<br />
<br />
{{Alg|(R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 18 ===<br />
[[Image:F2L18.png]]<br />
<br />
{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br />
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br />
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br />
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}<br />
{{Alg|F' U2 F U F' U' F|F2L}}<br />
{{Alg|(R' F R F') (R U' R' U) (R U' R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Pair Made on Side==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 19 ===<br />
[[Image:F2L19.png]]<br />
<br />
{{Alg|U R U2 R2 (F R F')|F2L}}<br />
{{Alg|U (R U2 R') U (R U' R')|F2L}}<br />
{{Alg|(R U2 R' U') U' (R U' R' U)(R U R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}<br />
{{Alg|U' (R U' R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U' (R U' R' U) (R U') (l U' R' U l')|F2L}}<br />
{{Alg|d' L' U2 L U' L' U L|F2L}} <br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
{{Alg|(R U' R') U2 (R U R')|F2L}}<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
{{Alg|R B U2 B' R'|F2L}}<br />
{{Alg|U2 R x' U' R U x R2'|F2L}}<br />
{{Alg|U F R U R' U' R' F' R|F2L}}<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
{{Alg|y' (R' U R) U2 (R' U' R)|F2l}}<br />
{{Alg|F' L' U2 L F|F2L}}<br />
{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|y2 U' d' (R' U' R U')(R' U R)|F2L}}<br />
{{Alg| r U' r' U2 r U r'|F2L}}<br />
{{Alg|U F R U R' U' F' R U R' U2'|F2L}}<br />
{{Alg|d2 y' R' U' R U' R' U R|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Weird==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 23 ===<br />
[[Image:F2L23.png]]<br />
<br />
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
{{Alg|U (F R' F' R) U (R U R')|F2L}}<br />
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br />
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br />
{{Alg|(R U2 R') (F' U F) U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<br />
{{Alg|U F' L' U L F R U R'|F2L}}<br />
{{Alg|(R U R') d (R' U R U') (R' U R)|F2L}}<br />
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br />
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U' (R U R' U) (R U') (l U' R' U l') |F2L}}<br />
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br />
{{Alg|F U (R U' R' F')(R U' R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Corner in Place, Edge in U Face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 25 ===<br />
[[Image:F2L25.png]]<br />
<br />
{{Alg|d' (L' U L) d (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U (F U F')|F2L}}<br />
{{Alg|U' (F' U F) U (R U' R')|F2L}}<br />
{{Alg|U' M' U R U' r' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br />
{{Alg|R' F' R U R U' R' F|F2L}}<br />
{{Alg|(U') F' R U R' U' R' F R|F2L}}<br />
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br />
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br />
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}<br />
{{Alg|y U R' u' R U' R' U u R|F2L}}<br />
If the back right slot is open:<br />
{{Alg|R2 U' R' U R2|F2L}}<br />
{{Alg|U D' R U' R' D|F2L}}<br />
<br />
<br />
|<br />
<br />
=== F2L 26 ===<br />
[[Image:F2L26.png]]<br />
<br />
{{Alg|U (R U' R') d' (L' U L)|F2L}}<br />
{{Alg|U (R U' R') U' (F' U F)|F2L}}<br />
{{Alg|U (R U' R') (F R' F' R)|F2L}}<br />
{{Alg|U R U (r' R U' R' U M')|F2L}}<br />
{{Alg|U R U' M' U R' U' M|F2L}}<br />
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R2)(F R F')|F2L}}<br />
{{Alg|F' U' F U2 (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 28 ===<br />
[[Image:F2L28.png]]<br />
<br />
{{Alg|(R U R' U') F R' F' R |F2L}}<br />
{{Alg|(R U R') d (R' U2 R) |F2L}}<br />
{{Alg|y' (R' U R U')(R' U R)|F2L}}<br />
{{Alg|(R U R') U (F' U2 F)|F2L}}<br />
{{Alg|R U2 l U' R' U l'|F2L}}<br />
{{Alg|(R U R') U l2 F' l' U l'|F2L}}<br />
{{Alg|(F' U F2)(R' F' R)|F2L}}<br />
{{Alg|(U2) R' F R F2 L' U2 L F|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 29 ===<br />
[[Image:F2L29.png]]<br />
<br />
{{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br />
{{Alg|(R' F R F')(R' F R F')|F2L}}<br />
{{Alg|M' U R U' r' U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 30 ===<br />
[[Image:F2L30.png]]<br />
<br />
{{Alg|(R U R' U')(R U R')|F2L}}<br />
{{Alg|U2 (F' U F)(R U R')|F2L}}<br />
{{Alg|U' (R U2 R')U2 (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge in Place, Corner in U face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 31 ===<br />
[[Image:F2L31.png]]<br />
<br />
{{Alg|(R U' R') d (R' U R)|F2L}}<br />
{{Alg|(R U' R' U)(F' U F)|F2L}}<br />
{{Alg|U' R' F R F' R U' R'|F2L}}<br />
{{Alg|R U' l U' R' U l'|F2L}}<br />
{{Alg|F2 r U r' F R U' R'|F2L}}<br />
{{Alg|R U2 R' U' F R' F' R|F2L}}<br />
|<br />
<br />
=== F2L 32 ===<br />
[[Image:F2L32.png]]<br />
<br />
{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br />
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br />
{{Alg|U2 R d' R U R' d R'|F2L}}<br />
{{Alg|U R d' R U2 R' d R'|F2L}}<br />
{{Alg|R2 U R2 U R2 U2 R2|F2L}}<br />
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br />
{{Alg|(R U2 R') (F' U2 F) U' (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 33 ===<br />
[[Image:F2L33.png]]<br />
<br />
{{Alg|y U' L' U' R' U L U' R|F2L}}<br />
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br />
{{Alg|U y F U R U R' U' R U' R' F'|F2L}}<br />
{{Alg|(U' F' U' F) U2 (F' U' F)|F2L}}<br />
{{Alg|y' U' R D R' U R D' R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 34 ===<br />
[[Image:F2L34.png]]<br />
<br />
{{Alg|U' (R U2' R') U (R U R')|F2L}}<br />
{{Alg|U (R U R') U2 (R U R')|F2L}}<br />
{{Alg|d (R' U R) U2 (R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 35 ===<br />
[[Image:F2L35.png]]<br />
<br />
{{Alg|(U' R U R') d (R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br />
{{Alg|U M' U R U' r' R U' R'|F2L}}<br />
{{Alg|U' l U' R U l' U R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 36 ===<br />
[[Image:F2L36.png]]<br />
<br />
{{Alg|d (R' U' R) d' (R U R')|F2L}}<br />
{{Alg|y U2 (L' U L) U (F U F')|F2L}}<br />
{{Alg|U F' U' F U' (R U R')|F2L}}<br />
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge and Corner in Place==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 37 ===<br />
[[Image:F2L37.png]]<br />
<br />
Solved<br />
<br />
|<br />
<br />
=== F2L 38 ===<br />
[[Image:F2L38.png]]<br />
<br />
{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br />
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 39 ===<br />
[[Image:F2L39.png]]<br />
<br />
{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br />
{{Alg|y' (R' U' R) U2 (R' U R U') (R' U' R)|F2L}}<br />
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br />
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br />
{{Alg|(R U2 R' U2) (R U2 R' U') R U R'|F2L}}<br />
{{Alg|R U' R' F2 L' U' L U F2|F2L}}<br />
<br />
|<br />
<br />
=== F2L 40 ===<br />
[[Image:F2L40.png]]<br />
<br />
{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br />
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br />
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R U2') (R' U' R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 41 ===<br />
[[Image:F2L41.png]]<br />
<br />
{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br />
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br />
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br />
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br />
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br />
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br />
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
== See also ==<br />
* [[Keyhole First Two Layers]]<br />
* [[Advanced F2L]]<br />
* [[ZBLS]]<br />
* [[Fridrich Method]]<br />
* [[Petrus Method]]<br />
<br />
== External Resources ==<br />
=== Beginner ===<br />
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br />
<br />
=== Standard ===<br />
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br />
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br />
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br />
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br />
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br />
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br />
* [http://www.cubewhiz.com/pll.php Bob Burton's F2L Cases]<br />
* [http://cubefreak.net/speed/advancedf2l/standard.php F2L algs for every case from all angles by Shotaro Makisumi]<br />
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br />
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto<br />
<br />
=== Advanced ===<br />
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br />
* [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]<br />
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br />
<br />
<br />
<br />
[[Category:3x3x3 other substeps]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=21249ELL2012-06-06T10:19:12Z<p>Peterbone: /* Z-PLL */</p>
<hr />
<div>{{Method Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|steps=1<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''Edges of Last Layer''', or normally '''ELL''', is a [[method]] that solves the last layer [[edge]]s of the [[3x3x3]] in one algorithm as the last step in the solution, normally after performing [[CLL]] to solve the last layer [[corner]]s. There are 29 cases in ELL, of these are three pure flips, four are [[EPLL]] and six cases are 3-cycles (besides the two in EPLL), all useful also for other methods, like [[BLD]].<br />
<br />
ELL is also used for a method of solving the last layer edges on larger cubes. Since there are 8 of each type of [[wing]], though, ELL for larger cubes requires more than one look due to the large number of cases, see [[KBCM Step 6|KBCM]] for a compleate 3-look ELL for the [[4x4x4 cube]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
Example, 4-flip: '''P U2 O U2 P U'''' ... P U2 sets up for O that flips four edges (O' works the same in this case, choose the fastets), U2 P is restoration of the setup and last U is AUF.<br />
<br />
==2-look ELL==<br />
Use any ELL that orients what you currently got (3 cases) from the listings below and finnish it using [[EPLL]] (4 cases). Most [[OLL]]s that preserves corner orientation will probably also do for the first look but don't count on it, some may change corner permutation while orienting the edges.<br />
<br />
Another way to solve ELL in 2 looks is to use [[L5E]], but that is desigend for solving one more edge than this is so there will be nearly the same number of algs as full ELL (5+16).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
The naming convention here is; wich edges are fliped if they where [[permute]]d and which [[EPLL]] would it be if all was correctly [[orient]]ed.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' }}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=ELL, [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
<br />
|<br />
<br />
|}<br />
<br />
==EPLLs==<br />
Please do not add algs to the EPLL section, the ones here are just examples, all EPLLs are at the [[PLL|PLL-page]], put your contributions there too, else we will end up having two separate lists and we don't want that.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M'2 U M U2 M' U M'2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
{{Alg|(y') M'2 u' M' u'2 M' u' M'2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}<br />
{{Alg|U' M' U' M2' U' M2' U' M' U2' M2'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], ELL, [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=ELL, [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
<br />
<br />
|<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=ELL<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=ELL<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Acronyms]]<br />
[[Category:3x3x3 last layer substeps]]<br />
[[Category:Algorithms]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=Marcell_Endrey&diff=17967Marcell Endrey2012-05-09T09:14:25Z<p>Peterbone: /* Progression */ new records</p>
<hr />
<div>{{Infobox<br />
|NAME=Marcell Endrey<br />
|IMAGE=Marcell Endrey.jpg<br />
|IMAGEYEAR=2012<br />
|ALIASES=<br />
|COUNTRY=Hungary<br />
|BIRTHDATE=22 July 1991<br />
|AGE=20<br />
|JOBS=Student<br />
|YEARSACTIVE=2006-present<br />
|ID=2007ENDR01<br />
|FAMOUSFOR=Multi-BLD ERs, 2011 Multi-BLD World Champion, [[List of World Records/3BLD|3BLD WR]]<br />
}}<br />
<br />
'''Marcell Endrey''' (Hungarian pronunciation: ['mɒrtsɛl 'ɛndrɛi]) is a [[Hungary|Hungarian]] speedcuber specializing in the four blindfold cubing events: 3BLD, 4BLD, 5BLD, and [[Multi-BLD]]. Marcell has been among the top European blindfold cubers for 3x3, 4x4, and multi since 2010 and set the 3BLD and 4BLD ERs in 2011. He set the former [[List of World Records/Multi-BLD|world record of 19/19]] for Multi-BLD to win [[World Championship 2011]]. Marcell currently holds the [[List of World Records/3BLD|3BLD WR]] at 27.65 seconds, set at Zune Open 2012. He also holds the [[List of World Records/5BLD|5BLD WR]] at 6:44.77, set at the same event.<br />
<br />
== Progression ==<br />
Marcell started cubing in the summer of 2006 and soon found the Hungarian cubing community through its website and forum. He focused on blindfold cubing after winning 3BLD at Hungarian Open 2008, his first official competition for the event. After his first NR with 7/7 MBLD at Hungarian Open 2009, Marcell's next national-level achievement was at [[Euro 2010]] in Budapest, where he came in third in 4BLD with an NR and second in 3BLD. The subsequent practice led to his first world-level successes: at Czech Open 2011, recovering his MBLD NR with 11/12 and setting his first 3BLD NR and 4BLD ER, then improving 3BLD to ER at Hungarian Open 2011. The 19/19 MBLD win at [[World Championship 2011]] was his first WR. In early 2012 Marcell set the 3BLD WR of 28.80, and then improved on it a few months later with a time of 26.65 at the Zune Open 2012. At the same event, he set the 5BLD WR of 6:44.77.<br />
<br />
== Trivia ==<br />
* Marcell's first competition was [[WC2007]], held in Budapest.<br />
<br />
== Notable Results on Video ==<br />
* [http://www.youtube.com/watch?v=mCyYPimImyM 3BLD WR 28.80]<br />
* [http://www.speedsolving.com/forum/showthread.php?36667-Marcell-Endrey-3BLD-27.65-WR-and-29.63-mo3 3BLD 27.65 WR and 29.63 mo3]<br />
<br />
== Achievements ==<br />
=== Milestones ===<br />
Marcell was the first cuber to officially achieve the following milestone:<br />
* 3x3 blindfolded: sub-30 (28.80)<br />
<br />
=== Titles ===<br />
{{S-start}}<br />
<br />
{{S-ach| ach=World Titles}}<br />
<br />
{{S-title-bef| before=[[Tim Habermaas]] | year=2009 }}<br />
{{S-title| title=3x3 Multi-BLD World Champion | year=2011 }}<br />
{{S-inc}}<br />
<br />
{{S-end}}<br />
<br />
== See Also ==<br />
* [[List of World Records/Multi-BLD|List of Multi-BLD World Records]]<br />
<br />
== External Links ==<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?33045-MBLD-19-19-WR-and-3BLD-32.59-by-Marcell-Endrey MBLD 19/19 WR and 3BLD 32.59 by Marcell Endrey]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?35132-Interview-with-Marcell-Endrey Interview with Marcell Endrey]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?35647-Marcell-Endrey-Rubik-s-Cube-blindfolded-World-Record-28.80s Marcell Endrey Rubik's Cube blindfolded World Record 28.80s]<br />
<br />
[[Category:World record holders|Endrey, Marcell]]<br />
[[Category:Notable Blindfold Cubers|Endrey, Marcell]]<br />
[[Category:Notable Speedcubers|Endrey, Marcell]]<br />
[[Category:Notable Cubers|Endrey, Marcell]]<br />
[[Category:People]]</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=Marcell_Endrey&diff=17962Marcell Endrey2012-05-09T09:11:39Z<p>Peterbone: update. new records</p>
<hr />
<div>{{Infobox<br />
|NAME=Marcell Endrey<br />
|IMAGE=Marcell Endrey.jpg<br />
|IMAGEYEAR=2012<br />
|ALIASES=<br />
|COUNTRY=Hungary<br />
|BIRTHDATE=22 July 1991<br />
|AGE=20<br />
|JOBS=Student<br />
|YEARSACTIVE=2006-present<br />
|ID=2007ENDR01<br />
|FAMOUSFOR=Multi-BLD ERs, 2011 Multi-BLD World Champion, [[List of World Records/3BLD|3BLD WR]]<br />
}}<br />
<br />
'''Marcell Endrey''' (Hungarian pronunciation: ['mɒrtsɛl 'ɛndrɛi]) is a [[Hungary|Hungarian]] speedcuber specializing in the four blindfold cubing events: 3BLD, 4BLD, 5BLD, and [[Multi-BLD]]. Marcell has been among the top European blindfold cubers for 3x3, 4x4, and multi since 2010 and set the 3BLD and 4BLD ERs in 2011. He set the former [[List of World Records/Multi-BLD|world record of 19/19]] for Multi-BLD to win [[World Championship 2011]]. Marcell currently holds the [[List of World Records/3BLD|3BLD WR]] at 27.65 seconds, set at Zune Open 2012. He also holds the [[List of World Records/5BLD|5BLD WR]] at 6:44.77, set at the same event.<br />
<br />
== Progression ==<br />
Marcell started cubing in the summer of 2006 and soon found the Hungarian cubing community through its website and forum. He focused on blindfold cubing after winning 3BLD at Hungarian Open 2008, his first official competition for the event. After his first NR with 7/7 MBLD at Hungarian Open 2009, Marcell's next national-level achievement was at [[Euro 2010]] in Budapest, where he came in third in 4BLD with an NR and second in 3BLD. The subsequent practice led to his first world-level successes: at Czech Open 2011, recovering his MBLD NR with 11/12 and setting his first 3BLD NR and 4BLD ER, then improving 3BLD to ER at Hungarian Open 2011. The 19/19 MBLD win at [[World Championship 2011]] was his first WR. In early 2012, Marcell set the 3BLD WR of 28.80.<br />
<br />
== Trivia ==<br />
* Marcell's first competition was [[WC2007]], held in Budapest.<br />
<br />
== Notable Results on Video ==<br />
* [http://www.youtube.com/watch?v=mCyYPimImyM 3BLD WR 28.80]<br />
* [http://www.speedsolving.com/forum/showthread.php?36667-Marcell-Endrey-3BLD-27.65-WR-and-29.63-mo3 3BLD 27.65 WR and 29.63 mo3]<br />
<br />
== Achievements ==<br />
=== Milestones ===<br />
Marcell was the first cuber to officially achieve the following milestone:<br />
* 3x3 blindfolded: sub-30 (28.80)<br />
<br />
=== Titles ===<br />
{{S-start}}<br />
<br />
{{S-ach| ach=World Titles}}<br />
<br />
{{S-title-bef| before=[[Tim Habermaas]] | year=2009 }}<br />
{{S-title| title=3x3 Multi-BLD World Champion | year=2011 }}<br />
{{S-inc}}<br />
<br />
{{S-end}}<br />
<br />
== See Also ==<br />
* [[List of World Records/Multi-BLD|List of Multi-BLD World Records]]<br />
<br />
== External Links ==<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?33045-MBLD-19-19-WR-and-3BLD-32.59-by-Marcell-Endrey MBLD 19/19 WR and 3BLD 32.59 by Marcell Endrey]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?35132-Interview-with-Marcell-Endrey Interview with Marcell Endrey]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?35647-Marcell-Endrey-Rubik-s-Cube-blindfolded-World-Record-28.80s Marcell Endrey Rubik's Cube blindfolded World Record 28.80s]<br />
<br />
[[Category:World record holders|Endrey, Marcell]]<br />
[[Category:Notable Blindfold Cubers|Endrey, Marcell]]<br />
[[Category:Notable Speedcubers|Endrey, Marcell]]<br />
[[Category:Notable Cubers|Endrey, Marcell]]<br />
[[Category:People]]</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=17252First Two Layers2012-03-20T11:19:44Z<p>Peterbone: /* F2L 11 */</p>
<hr />
<div>{{Method Infobox<br />
|name=F2L<br />
|image=F2Linfo.png<br />
|proposers=[[René Schoof]]<br />
|year=1981<br />
|anames=<br />
|variants=[[ZBF2L]], [[VHF2L]], [[WV]], possibly others<br />
|steps=1<br />
|algs=42<br />
|moves=7.8 [[HTM]] a slot<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br />
<br />
The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br />
<br />
[[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br />
<br />
<br clear=all><br />
== Approaches ==<br />
<br />
=== Petrus F2L ===<br />
<br />
Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br />
<br />
=== Fridrich F2L ===<br />
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br />
<br />
The concept of pairing up four corner/edge pairs was first proposed by [[René Schoof]] in 1981.<br />
<br />
{{F2L}}<br />
<br />
==Easy Cases==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 1 ===<br />
[[Image:F2L01.png]]<br />
<br />
{{Alg|U (R U' R')|F2L}}<br />
{{Alg|R' F R F'|F2L}}<br />
{{Alg|U2 (R U2 R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 2 ===<br />
[[Image:F2L02.png]]<br />
<br />
{{Alg|y' U' (R' U R)|F2L}}<br />
{{Alg|U' (F' U F)|F2L}}<br />
{{Alg|F R' F' R|F2L}}<br />
{{Alg|d' L' U L|F2L}}<br />
{{Alg|r U R' U' M|F2L}}<br />
{{Alg|(U2) l R U' R' U l'|F2L}}<br />
{{Alg|(U') F R' F' R2 U' R'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
{{Alg|y (L' U' L)|F2L}}<br />
{{alg|F' U' F|F2L}}<br />
{{Alg|U M R U' R' U M'|F2L}}<br />
{{Alg|U r' R2 U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 4 ===<br />
[[Image:F2L04.png]]<br />
<br />
{{Alg|(R U R')|F2L}}<br />
{{Alg|(U2) L (R U' R') U L'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 5 ===<br />
[[Image:F2L05.png]]<br />
<br />
{{Alg|(U' R U R') U2 (R U' R')|F2L}}<br />
{{Alg|(U' R U R') U (R' F R F')|F2L}}<br />
{{Alg|F2 (L' U' L U) F2|F2L}}<br />
{{Alg|L U' R U L' R' U2 R U' R'|F2L}}<br />
{{Alg|U' (R U R') U' R U2 R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 6 ===<br />
[[Image:F2L06.png]]<br />
<br />
{{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br />
{{Alg|U' (r U' R' U) (R U r')|F2L}}<br />
{{Alg|R2 (B U B' U') R2|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br />
{{Alg|M' U' M U2 r U' r'|F2L}}<br />
{{Alg|R U B U2 B' U R|F2L}}<br />
<br />
|<br />
<br />
=== F2L 8 ===<br />
[[Image:F2L08.png]]<br />
<br />
{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br />
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br />
{{Alg|y' R' U' F' U2 F U' R|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge and Flip Corner==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 9 ===<br />
[[Image:F2L09.png]]<br />
<br />
{{Alg|d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br />
{{Alg|U r U R' U' R2 r' U' R'|F2L}}<br />
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|F (R U R' U') F' R U' R'|F2L}}<br />
{{Alg|(U F' U' F) U' (F' U' F)|F2L}}<br />
{{Alg|F2 (U R U' R') F2|F2L}}<br />
<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
{{Alg|R d' R U R' U2 F'|F2L}}<br />
{{Alg|U F' U F U' R U R'|F2L}}<br />
{{Alg|d R' U R d' R U R'|F2L}}<br />
{{Alg|y2 B2 (U' R' U R) B2|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 11 ===<br />
[[Image:F2L11.png]]<br />
<br />
{{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br />
{{Alg|(y) L' d L' U2 L U2 F|F2L}}<br />
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|U (F R' F' R)2 U' R U R'|F2L}}<br />
{{Alg|(y') R U2 R2 U' R2 U' R'|F2L}}<br />
{{Alg|U' l F U' R U l' U R'|F2L}}<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br />
{{Alg|R' U2 R2 U R2 U R|F2L}}<br />
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 13 ===<br />
[[Image:F2L13.png]]<br />
<br />
{{Alg|d (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|(U F' U F) U' (F' U' F)|F2L}}<br />
<br />
Front right slot open : R' U R F' U' F<br />
<br />
|<br />
<br />
=== F2L 14 ===<br />
[[Image:F2L14.png]]<br />
<br />
{{Alg|U' (R U' R' U)(R U R')|F2L}}<br />
{{Alg|d' F U' F' d R U R'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Split Pair by Going Over==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 15 ===<br />
[[Image:F2L15.png]]<br />
<br />
{{Alg|M U L F' L' U' M'|F2L}}<br />
{{Alg|U (R' F R F') U (R U R')|F2L}}<br />
{{Alg|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br />
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br />
Front left slot open: U (R U' R') D (R U' R') D'<br />
<br />
<br />
|<br />
<br />
=== F2L 16 ===<br />
[[Image:F2L16.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R)|F2L}}<br />
{{Alg|(R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 17 ===<br />
[[Image:F2L17.png]]<br />
<br />
{{Alg|(R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 18 ===<br />
[[Image:F2L18.png]]<br />
<br />
{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br />
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br />
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br />
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Pair Made on Side==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 19 ===<br />
[[Image:F2L19.png]]<br />
<br />
{{Alg|U R U2 R2 (F R F')|F2L}}<br />
{{Alg|U (R U2 R') U (R U' R')|F2L}}<br />
{{Alg|(R U2 R' U') U' (R U' R' U)(R U R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}<br />
{{Alg|U' (R U' R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U' (R U' R' U) (R U') (l U' R' U l')|F2L}}<br />
{{Alg|d' L' U2 L U' L' U L|F2L}} <br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
{{Alg|(R U' R') U2 (R U R')|F2L}}<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
{{Alg|R B U2 B' R'|F2L}}<br />
{{Alg|U2 R x' U' R U x R2'|F2L}}<br />
{{Alg|U F R U R' U' R' F' R|F2L}}<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
{{Alg|y' (R' U R) U2 (R' U' R)|F2l}}<br />
{{Alg|F' L' U2 L F|F2L}}<br />
{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|y2 U' d' (R' U' R U')(R' U R)|F2L}}<br />
{{Alg| r U' r' U2 r U r'|F2L}}<br />
{{Alg|U F R U R' U' F' R U R' U2'|F2L}}<br />
{{Alg|d2 y' R' U' R U' R' U R|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Weird==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 23 ===<br />
[[Image:F2L23.png]]<br />
<br />
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
{{Alg|U (F R' F' R) U (R U R')|F2L}}<br />
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br />
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br />
{{Alg|(R U2 R') (F' U F) U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<br />
{{Alg|U F' L' U L F R U R'|F2L}}<br />
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br />
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U' (R U R' U) (R U') (l U' R' U l') |F2L}}<br />
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br />
{{Alg|F U (R U' R' F')(R U' R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Corner in Place, Edge in U Face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 25 ===<br />
[[Image:F2L25.png]]<br />
<br />
{{Alg|d' (L' U L) d (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U (F U F')|F2L}}<br />
{{Alg|U' (F' U F) U (R U' R')|F2L}}<br />
{{Alg|U' M' U R U' r' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br />
{{Alg|R' F' R U R U' R' F|F2L}}<br />
{{Alg|(U') F' R U R' U' R' F R|F2L}}<br />
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br />
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br />
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}<br />
{{Alg|y U R' u' R U' R' U u R|F2L}}<br />
If the back right slot is open:<br />
{{Alg|R2 U' R' U R2|F2L}}<br />
{{Alg|U D' R U' R' D|F2L}}<br />
<br />
<br />
|<br />
<br />
=== F2L 26 ===<br />
[[Image:F2L26.png]]<br />
<br />
{{Alg|U (R U' R') d' (L' U L)|F2L}}<br />
{{Alg|U (R U' R') U' (F' U F)|F2L}}<br />
{{Alg|U (R U' R') (F R' F' R)|F2L}}<br />
{{Alg|U R U (r' R U' R' U M')|F2L}}<br />
{{Alg|U R U' M' U R' U' M|F2L}}<br />
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R2)(F R F')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 28 ===<br />
[[Image:F2L28.png]]<br />
<br />
{{Alg|(R U R' U') F R' F' R |F2L}}<br />
{{Alg|y' (R' U R U')(R' U R)|F2L}}<br />
{{Alg|(R U R') U (F' U2 F)|F2L}}<br />
{{Alg|R U2 l U' R' U l'|F2L}}<br />
{{Alg|(R U R') U l2 F' l' U l'|F2L}}<br />
{{Alg|(F' U F2)(R' F' R)|F2L}}<br />
{{Alg|(U2) R' F R F2 L' U2 L F|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 29 ===<br />
[[Image:F2L29.png]]<br />
<br />
{{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br />
{{Alg|(R' F R F')(R' F R F')|F2L}}<br />
{{Alg|M' U R U' r' U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 30 ===<br />
[[Image:F2L30.png]]<br />
<br />
{{Alg|(R U R' U')(R U R')|F2L}}<br />
{{Alg|U2 (F' U F)(R U R')|F2L}}<br />
{{Alg|U' (R U2 R')U2 (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge in Place, Corner in U face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 31 ===<br />
[[Image:F2L31.png]]<br />
<br />
{{Alg|(R U' R') d (R' U R)|F2L}}<br />
{{Alg|(R U' R' U)(F' U F)|F2L}}<br />
{{Alg|U' R' F R F' R U' R'|F2L}}<br />
{{Alg|R U' l U' R' U l'|F2L}}<br />
{{Alg|F2 r U r' F R U' R'|F2L}}<br />
{{Alg|R U2 R' U' F R' F' R|F2L}}<br />
|<br />
<br />
=== F2L 32 ===<br />
[[Image:F2L32.png]]<br />
<br />
{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br />
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br />
{{Alg|U2 R d' R U R' d R'|F2L}}<br />
{{Alg|U R d' R U2 R' d R'|F2L}}<br />
{{Alg|R2 U R2 U R2 U2 R2|F2L}}<br />
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br />
{{Alg|(R U2 R') (F' U2 F) U' (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 33 ===<br />
[[Image:F2L33.png]]<br />
<br />
{{Alg|y U' L' U' R' U L U' R|F2L}}<br />
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br />
{{Alg|U y F U R U R' U' R U' R' F'|F2L}}<br />
{{Alg|(U' F' U' F) U2 (F' U' F)|F2L}}<br />
{{Alg|y' U' R D R' U R D' R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 34 ===<br />
[[Image:F2L34.png]]<br />
<br />
{{Alg|U' (R U2' R') U (R U R')|F2L}}<br />
{{Alg|U (R U R') U2 (R U R')|F2L}}<br />
{{Alg|d (R' U R) U2 (R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 35 ===<br />
[[Image:F2L35.png]]<br />
<br />
{{Alg|(U' R U R') d (R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br />
{{Alg|U M' U R U' r' R U' R'|F2L}}<br />
{{Alg|U' l U' R U l' U R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 36 ===<br />
[[Image:F2L36.png]]<br />
<br />
{{Alg|d (R' U' R) d' (R U R')|F2L}}<br />
{{Alg|y U2 (L' U L) U (F U F')|F2L}}<br />
{{Alg|U F' U' F U' (R U R')|F2L}}<br />
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge and Corner in Place==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 37 ===<br />
[[Image:F2L37.png]]<br />
<br />
Solved<br />
<br />
|<br />
<br />
=== F2L 38 ===<br />
[[Image:F2L38.png]]<br />
<br />
{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br />
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 39 ===<br />
[[Image:F2L39.png]]<br />
<br />
{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br />
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br />
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br />
{{Alg|(R U2 R' U2) (R U2 R' U') R U R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 40 ===<br />
[[Image:F2L40.png]]<br />
<br />
{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br />
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br />
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R U2') (R' U' R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 41 ===<br />
[[Image:F2L41.png]]<br />
<br />
{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br />
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br />
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br />
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br />
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br />
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br />
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
== See Also ==<br />
* [[Keyhole First Two Layers]]<br />
* [[Advanced F2L]]<br />
* [[ZBF2L]]<br />
* [[Fridrich Method]]<br />
* [[Petrus Method]]<br />
<br />
== External Resources ==<br />
=== Beginner ===<br />
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br />
<br />
=== Standard ===<br />
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br />
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br />
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br />
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br />
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br />
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br />
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br />
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto <br />
<br />
=== Advanced ===<br />
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br />
* [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]<br />
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br />
<br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=17251First Two Layers2012-03-20T11:18:06Z<p>Peterbone: /* F2L 11 */ Short rotation-less alg</p>
<hr />
<div>{{Method Infobox<br />
|name=F2L<br />
|image=F2Linfo.png<br />
|proposers=[[René Schoof]]<br />
|year=1981<br />
|anames=<br />
|variants=[[ZBF2L]], [[VHF2L]], [[WV]], possibly others<br />
|steps=1<br />
|algs=42<br />
|moves=7.8 [[HTM]] a slot<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br />
<br />
The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br />
<br />
[[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br />
<br />
<br clear=all><br />
== Approaches ==<br />
<br />
=== Petrus F2L ===<br />
<br />
Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br />
<br />
=== Fridrich F2L ===<br />
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br />
<br />
The concept of pairing up four corner/edge pairs was first proposed by [[René Schoof]] in 1981.<br />
<br />
{{F2L}}<br />
<br />
==Easy Cases==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 1 ===<br />
[[Image:F2L01.png]]<br />
<br />
{{Alg|U (R U' R')|F2L}}<br />
{{Alg|R' F R F'|F2L}}<br />
{{Alg|U2 (R U2 R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 2 ===<br />
[[Image:F2L02.png]]<br />
<br />
{{Alg|y' U' (R' U R)|F2L}}<br />
{{Alg|U' (F' U F)|F2L}}<br />
{{Alg|F R' F' R|F2L}}<br />
{{Alg|d' L' U L|F2L}}<br />
{{Alg|r U R' U' M|F2L}}<br />
{{Alg|(U2) l R U' R' U l'|F2L}}<br />
{{Alg|(U') F R' F' R2 U' R'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
{{Alg|y (L' U' L)|F2L}}<br />
{{alg|F' U' F|F2L}}<br />
{{Alg|U M R U' R' U M'|F2L}}<br />
{{Alg|U r' R2 U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 4 ===<br />
[[Image:F2L04.png]]<br />
<br />
{{Alg|(R U R')|F2L}}<br />
{{Alg|(U2) L (R U' R') U L'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 5 ===<br />
[[Image:F2L05.png]]<br />
<br />
{{Alg|(U' R U R') U2 (R U' R')|F2L}}<br />
{{Alg|(U' R U R') U (R' F R F')|F2L}}<br />
{{Alg|F2 (L' U' L U) F2|F2L}}<br />
{{Alg|L U' R U L' R' U2 R U' R'|F2L}}<br />
{{Alg|U' (R U R') U' R U2 R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 6 ===<br />
[[Image:F2L06.png]]<br />
<br />
{{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br />
{{Alg|U' (r U' R' U) (R U r')|F2L}}<br />
{{Alg|R2 (B U B' U') R2|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br />
{{Alg|M' U' M U2 r U' r'|F2L}}<br />
{{Alg|R U B U2 B' U R|F2L}}<br />
<br />
|<br />
<br />
=== F2L 8 ===<br />
[[Image:F2L08.png]]<br />
<br />
{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br />
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br />
{{Alg|y' R' U' F' U2 F U' R|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge and Flip Corner==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 9 ===<br />
[[Image:F2L09.png]]<br />
<br />
{{Alg|d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br />
{{Alg|U r U R' U' R2 r' U' R'|F2L}}<br />
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|F (R U R' U') F' R U' R'|F2L}}<br />
{{Alg|(U F' U' F) U' (F' U' F)|F2L}}<br />
{{Alg|F2 (U R U' R') F2|F2L}}<br />
<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
{{Alg|R d' R U R' U2 F'|F2L}}<br />
{{Alg|U F' U F U' R U R'|F2L}}<br />
{{Alg|d R' U R d' R U R'|F2L}}<br />
{{Alg|y2 B2 (U' R' U R) B2|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 11 ===<br />
[[Image:F2L11.png]]<br />
<br />
{{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br />
{{Alg|(y) L' d L' U2 L U2 F|F2L}}<br />
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|U (F R' F' R)2 U' R U R'|F2L}}<br />
{{Alg|(y') R U2 R2 U' R2 U' R'|F2L}}<br />
{{Alg|l F U' R U l' U R'|F2L}}<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br />
{{Alg|R' U2 R2 U R2 U R|F2L}}<br />
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 13 ===<br />
[[Image:F2L13.png]]<br />
<br />
{{Alg|d (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|(U F' U F) U' (F' U' F)|F2L}}<br />
<br />
Front right slot open : R' U R F' U' F<br />
<br />
|<br />
<br />
=== F2L 14 ===<br />
[[Image:F2L14.png]]<br />
<br />
{{Alg|U' (R U' R' U)(R U R')|F2L}}<br />
{{Alg|d' F U' F' d R U R'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Split Pair by Going Over==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 15 ===<br />
[[Image:F2L15.png]]<br />
<br />
{{Alg|M U L F' L' U' M'|F2L}}<br />
{{Alg|U (R' F R F') U (R U R')|F2L}}<br />
{{Alg|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br />
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br />
Front left slot open: U (R U' R') D (R U' R') D'<br />
<br />
<br />
|<br />
<br />
=== F2L 16 ===<br />
[[Image:F2L16.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R)|F2L}}<br />
{{Alg|(R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 17 ===<br />
[[Image:F2L17.png]]<br />
<br />
{{Alg|(R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 18 ===<br />
[[Image:F2L18.png]]<br />
<br />
{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br />
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br />
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br />
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Pair Made on Side==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 19 ===<br />
[[Image:F2L19.png]]<br />
<br />
{{Alg|U R U2 R2 (F R F')|F2L}}<br />
{{Alg|U (R U2 R') U (R U' R')|F2L}}<br />
{{Alg|(R U2 R' U') U' (R U' R' U)(R U R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}<br />
{{Alg|U' (R U' R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U' (R U' R' U) (R U') (l U' R' U l')|F2L}}<br />
{{Alg|d' L' U2 L U' L' U L|F2L}} <br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
{{Alg|(R U' R') U2 (R U R')|F2L}}<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
{{Alg|R B U2 B' R'|F2L}}<br />
{{Alg|U2 R x' U' R U x R2'|F2L}}<br />
{{Alg|U F R U R' U' R' F' R|F2L}}<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
{{Alg|y' (R' U R) U2 (R' U' R)|F2l}}<br />
{{Alg|F' L' U2 L F|F2L}}<br />
{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|y2 U' d' (R' U' R U')(R' U R)|F2L}}<br />
{{Alg| r U' r' U2 r U r'|F2L}}<br />
{{Alg|U F R U R' U' F' R U R' U2'|F2L}}<br />
{{Alg|d2 y' R' U' R U' R' U R|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Weird==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 23 ===<br />
[[Image:F2L23.png]]<br />
<br />
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
{{Alg|U (F R' F' R) U (R U R')|F2L}}<br />
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br />
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br />
{{Alg|(R U2 R') (F' U F) U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<br />
{{Alg|U F' L' U L F R U R'|F2L}}<br />
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br />
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U' (R U R' U) (R U') (l U' R' U l') |F2L}}<br />
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br />
{{Alg|F U (R U' R' F')(R U' R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Corner in Place, Edge in U Face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 25 ===<br />
[[Image:F2L25.png]]<br />
<br />
{{Alg|d' (L' U L) d (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U (F U F')|F2L}}<br />
{{Alg|U' (F' U F) U (R U' R')|F2L}}<br />
{{Alg|U' M' U R U' r' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br />
{{Alg|R' F' R U R U' R' F|F2L}}<br />
{{Alg|(U') F' R U R' U' R' F R|F2L}}<br />
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br />
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br />
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}<br />
{{Alg|y U R' u' R U' R' U u R|F2L}}<br />
If the back right slot is open:<br />
{{Alg|R2 U' R' U R2|F2L}}<br />
{{Alg|U D' R U' R' D|F2L}}<br />
<br />
<br />
|<br />
<br />
=== F2L 26 ===<br />
[[Image:F2L26.png]]<br />
<br />
{{Alg|U (R U' R') d' (L' U L)|F2L}}<br />
{{Alg|U (R U' R') U' (F' U F)|F2L}}<br />
{{Alg|U (R U' R') (F R' F' R)|F2L}}<br />
{{Alg|U R U (r' R U' R' U M')|F2L}}<br />
{{Alg|U R U' M' U R' U' M|F2L}}<br />
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R2)(F R F')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 28 ===<br />
[[Image:F2L28.png]]<br />
<br />
{{Alg|(R U R' U') F R' F' R |F2L}}<br />
{{Alg|y' (R' U R U')(R' U R)|F2L}}<br />
{{Alg|(R U R') U (F' U2 F)|F2L}}<br />
{{Alg|R U2 l U' R' U l'|F2L}}<br />
{{Alg|(R U R') U l2 F' l' U l'|F2L}}<br />
{{Alg|(F' U F2)(R' F' R)|F2L}}<br />
{{Alg|(U2) R' F R F2 L' U2 L F|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 29 ===<br />
[[Image:F2L29.png]]<br />
<br />
{{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br />
{{Alg|(R' F R F')(R' F R F')|F2L}}<br />
{{Alg|M' U R U' r' U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 30 ===<br />
[[Image:F2L30.png]]<br />
<br />
{{Alg|(R U R' U')(R U R')|F2L}}<br />
{{Alg|U2 (F' U F)(R U R')|F2L}}<br />
{{Alg|U' (R U2 R')U2 (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge in Place, Corner in U face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 31 ===<br />
[[Image:F2L31.png]]<br />
<br />
{{Alg|(R U' R') d (R' U R)|F2L}}<br />
{{Alg|(R U' R' U)(F' U F)|F2L}}<br />
{{Alg|U' R' F R F' R U' R'|F2L}}<br />
{{Alg|R U' l U' R' U l'|F2L}}<br />
{{Alg|F2 r U r' F R U' R'|F2L}}<br />
{{Alg|R U2 R' U' F R' F' R|F2L}}<br />
|<br />
<br />
=== F2L 32 ===<br />
[[Image:F2L32.png]]<br />
<br />
{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br />
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br />
{{Alg|U2 R d' R U R' d R'|F2L}}<br />
{{Alg|U R d' R U2 R' d R'|F2L}}<br />
{{Alg|R2 U R2 U R2 U2 R2|F2L}}<br />
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br />
{{Alg|(R U2 R') (F' U2 F) U' (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 33 ===<br />
[[Image:F2L33.png]]<br />
<br />
{{Alg|y U' L' U' R' U L U' R|F2L}}<br />
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br />
{{Alg|U y F U R U R' U' R U' R' F'|F2L}}<br />
{{Alg|(U' F' U' F) U2 (F' U' F)|F2L}}<br />
{{Alg|y' U' R D R' U R D' R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 34 ===<br />
[[Image:F2L34.png]]<br />
<br />
{{Alg|U' (R U2' R') U (R U R')|F2L}}<br />
{{Alg|U (R U R') U2 (R U R')|F2L}}<br />
{{Alg|d (R' U R) U2 (R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 35 ===<br />
[[Image:F2L35.png]]<br />
<br />
{{Alg|(U' R U R') d (R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br />
{{Alg|U M' U R U' r' R U' R'|F2L}}<br />
{{Alg|U' l U' R U l' U R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 36 ===<br />
[[Image:F2L36.png]]<br />
<br />
{{Alg|d (R' U' R) d' (R U R')|F2L}}<br />
{{Alg|y U2 (L' U L) U (F U F')|F2L}}<br />
{{Alg|U F' U' F U' (R U R')|F2L}}<br />
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge and Corner in Place==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 37 ===<br />
[[Image:F2L37.png]]<br />
<br />
Solved<br />
<br />
|<br />
<br />
=== F2L 38 ===<br />
[[Image:F2L38.png]]<br />
<br />
{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br />
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 39 ===<br />
[[Image:F2L39.png]]<br />
<br />
{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br />
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br />
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br />
{{Alg|(R U2 R' U2) (R U2 R' U') R U R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 40 ===<br />
[[Image:F2L40.png]]<br />
<br />
{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br />
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br />
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R U2') (R' U' R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 41 ===<br />
[[Image:F2L41.png]]<br />
<br />
{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br />
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br />
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br />
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br />
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br />
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br />
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
== See Also ==<br />
* [[Keyhole First Two Layers]]<br />
* [[Advanced F2L]]<br />
* [[ZBF2L]]<br />
* [[Fridrich Method]]<br />
* [[Petrus Method]]<br />
<br />
== External Resources ==<br />
=== Beginner ===<br />
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br />
<br />
=== Standard ===<br />
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br />
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br />
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br />
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br />
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br />
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br />
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br />
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto <br />
<br />
=== Advanced ===<br />
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br />
* [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]<br />
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br />
<br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=17150First Two Layers2012-02-28T13:56:42Z<p>Peterbone: /* F2L 20 */</p>
<hr />
<div>{{Method Infobox<br />
|name=F2L<br />
|image=F2Linfo.png<br />
|proposers=[[René Schoof]]<br />
|year=1981<br />
|anames=<br />
|variants=[[ZBF2L]], [[VHF2L]], [[WV]], possibly others<br />
|steps=1<br />
|algs=42<br />
|moves=7.8 [[HTM]] a slot<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br />
<br />
The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br />
<br />
[[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br />
<br />
<br clear=all><br />
== Approaches ==<br />
<br />
=== Petrus F2L ===<br />
<br />
Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br />
<br />
=== Fridrich F2L ===<br />
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br />
<br />
The concept of pairing up four corner/edge pairs was first proposed by [[René Schoof]] in 1981.<br />
<br />
{{F2L}}<br />
<br />
==Easy Cases==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 1 ===<br />
[[Image:F2L01.png]]<br />
<br />
{{Alg|U (R U' R')|F2L}}<br />
{{Alg|R' F R F'|F2L}}<br />
{{Alg|U2 (R U2 R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 2 ===<br />
[[Image:F2L02.png]]<br />
<br />
{{Alg|y' U' (R' U R)|F2L}}<br />
{{Alg|U' (F' U F)|F2L}}<br />
{{Alg|F R' F' R|F2L}}<br />
{{Alg|d' L' U L|F2L}}<br />
{{Alg|r U R' U' M|F2L}}<br />
{{Alg|(U2) l R U' R' U l'|F2L}}<br />
{{Alg|(U') F R' F' R2 U' R'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
{{Alg|y (L' U' L)|F2L}}<br />
{{alg|F' U' F|F2L}}<br />
{{Alg|U M R U' R' U M'|F2L}}<br />
{{Alg|U r' R2 U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 4 ===<br />
[[Image:F2L04.png]]<br />
<br />
{{Alg|(R U R')|F2L}}<br />
{{Alg|(U2) L (R U' R') U L'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 5 ===<br />
[[Image:F2L05.png]]<br />
<br />
{{Alg|(U' R U R') U2 (R U' R')|F2L}}<br />
{{Alg|(U' R U R') U (R' F R F')|F2L}}<br />
{{Alg|F2 (L' U' L U) F2|F2L}}<br />
{{Alg|L U' R U L' R' U2 R U' R'|F2L}}<br />
{{Alg|U' (R U R') U' R U2 R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 6 ===<br />
[[Image:F2L06.png]]<br />
<br />
{{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br />
{{Alg|U' (r U' R' U) (R U r')|F2L}}<br />
{{Alg|R2 (B U B' U') R2|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br />
{{Alg|M' U' M U2 r U' r'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 8 ===<br />
[[Image:F2L08.png]]<br />
<br />
{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br />
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge and Flip Corner==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 9 ===<br />
[[Image:F2L09.png]]<br />
<br />
{{Alg|d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br />
{{Alg|U r U R' U' R2 r' U' R'|F2L}}<br />
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|F (R U R' U') F' R U' R'|F2L}}<br />
{{Alg|(U F' U' F) U' (F' U' F)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
{{Alg|R d' R U R' U2 F'|F2L}}<br />
{{Alg|U F' U F U' R U R'|F2L}}<br />
{{Alg|d R' U R d' R U R'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 11 ===<br />
[[Image:F2L11.png]]<br />
<br />
{{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br />
{{Alg|(y) L' d L' U2 L U2 F|F2L}}<br />
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|U (F R' F' R)2 U' R U R'|F2L}}<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br />
{{Alg|R' U2 R2 U R2 U R|F2L}}<br />
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 13 ===<br />
[[Image:F2L13.png]]<br />
<br />
{{Alg|d (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|(U F' U F) U' (F' U' F)|F2L}}<br />
<br />
Front right slot open : R' U R F' U' F<br />
<br />
|<br />
<br />
=== F2L 14 ===<br />
[[Image:F2L14.png]]<br />
<br />
{{Alg|U' (R U' R' U)(R U R')|F2L}}<br />
{{Alg|d' F U' F' d R U R'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Split Pair by Going Over==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 15 ===<br />
[[Image:F2L15.png]]<br />
<br />
{{Alg|M U L F' L' U' M'|F2L}}<br />
{{Alg|U (R' F R F') U (R U R')|F2L}}<br />
{{Alg|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br />
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br />
Front left slot open: U (R U' R') D (R U' R') D'<br />
<br />
<br />
|<br />
<br />
=== F2L 16 ===<br />
[[Image:F2L16.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R)|F2L}}<br />
{{Alg|(R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 17 ===<br />
[[Image:F2L17.png]]<br />
<br />
{{Alg|(R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 18 ===<br />
[[Image:F2L18.png]]<br />
<br />
{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br />
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br />
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br />
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Pair Made on Side==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 19 ===<br />
[[Image:F2L19.png]]<br />
<br />
{{Alg|U R U2 R2 (F R F')|F2L}}<br />
{{Alg|U (R U2 R') U (R U' R')|F2L}}<br />
{{Alg|(R U2 R' U') U' (R U' R' U)(R U R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}<br />
{{Alg|U' (R U' R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U' (R U' R' U) (R U') (l U' R' U l')|F2L}}<br />
{{Alg|d' L' U2 L U' L' U L|F2L}} <br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
{{Alg|(R U' R') U2 (R U R')|F2L}}<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
{{Alg|R B U2 B' R'|F2L}}<br />
{{Alg|U2 R x' U' R U x R2'|F2L}}<br />
{{Alg|U F R U R' U' R' F' R|F2L}}<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
{{Alg|y' (R' U R) U2 (R' U' R)|F2l}}<br />
{{Alg|F' L' U2 L F|F2L}}<br />
{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|y2 U' d' (R' U' R U')(R' U R)|F2L}}<br />
{{Alg| r U' r' U2 r U r'|F2L}}<br />
{{Alg|U F R U R' U' F' R U R' U2'|F2L}}<br />
{{Alg|d2 y' R' U' R U' R' U R|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Weird==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 23 ===<br />
[[Image:F2L23.png]]<br />
<br />
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
{{Alg|U (F R' F' R) U (R U R')|F2L}}<br />
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br />
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br />
{{Alg|(R U2 R') (F' U F) U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<br />
{{Alg|U F' L' U L F R U R'|F2L}}<br />
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br />
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U' (R U R' U) (R U') (l U' R' U l') |F2L}}<br />
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br />
{{Alg|F U (R U' R' F')(R U' R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Corner in Place, Edge in U Face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 25 ===<br />
[[Image:F2L25.png]]<br />
<br />
{{Alg|d' (L' U L) d (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U (F U F')|F2L}}<br />
{{Alg|U' (F' U F) U (R U' R')|F2L}}<br />
{{Alg|U' M' U R U' r' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br />
{{Alg|R' F' R U R U' R' F|F2L}}<br />
{{Alg|(U') F' R U R' U' R' F R|F2L}}<br />
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br />
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br />
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}<br />
{{Alg|y U R' u' R U' R' U u R|F2L}}<br />
If the back right slot is open:<br />
{{Alg|R2 U' R' U R2|F2L}}<br />
{{Alg|U D' R U' R' D|F2L}}<br />
<br />
<br />
|<br />
<br />
=== F2L 26 ===<br />
[[Image:F2L26.png]]<br />
<br />
{{Alg|U (R U' R') d' (L' U L)|F2L}}<br />
{{Alg|U (R U' R') U' (F' U F)|F2L}}<br />
{{Alg|U (R U' R') (F R' F' R)|F2L}}<br />
{{Alg|U R U (r' R U' R' U M')|F2L}}<br />
{{Alg|U R U' M' U R' U' M|F2L}}<br />
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R2)(F R F')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 28 ===<br />
[[Image:F2L28.png]]<br />
<br />
{{Alg|(R U R' U') F R' F' R |F2L}}<br />
{{Alg|y' (R' U R U')(R' U R)|F2L}}<br />
{{Alg|(R U R') U (F' U2 F)|F2L}}<br />
{{Alg|R U2 l U' R' U l'|F2L}}<br />
{{Alg|(R U R') U l2 F' l' U l'|F2L}}<br />
{{Alg|(F' U F2)(R' F' R)|F2L}}<br />
{{Alg|(U2) R' F R F2 L' U2 L F|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 29 ===<br />
[[Image:F2L29.png]]<br />
<br />
{{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br />
{{Alg|(R' F R F')(R' F R F')|F2L}}<br />
{{Alg|M' U R U' r' U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 30 ===<br />
[[Image:F2L30.png]]<br />
<br />
{{Alg|(R U R' U')(R U R')|F2L}}<br />
{{Alg|U2 (F' U F)(R U R')|F2L}}<br />
{{Alg|U' (R U2 R')U2 (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge in Place, Corner in U face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 31 ===<br />
[[Image:F2L31.png]]<br />
<br />
{{Alg|(R U' R') d (R' U R)|F2L}}<br />
{{Alg|(R U' R' U)(F' U F)|F2L}}<br />
{{Alg|U' R' F R F' R U' R'|F2L}}<br />
{{Alg|R U' l U' R' U l'|F2L}}<br />
{{Alg|F2 r U r' F R U' R'|F2L}}<br />
{{Alg|R U2 R' U' F R' F' R|F2L}}<br />
|<br />
<br />
=== F2L 32 ===<br />
[[Image:F2L32.png]]<br />
<br />
{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br />
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br />
{{Alg|U2 R d' R U R' d R'|F2L}}<br />
{{Alg|U R d' R U2 R' d R'|F2L}}<br />
{{Alg|R2 U R2 U R2 U2 R2|F2L}}<br />
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br />
{{Alg|(R U2 R') (F' U2 F) U' (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 33 ===<br />
[[Image:F2L33.png]]<br />
<br />
{{Alg|y U' L' U' R' U L U' R|F2L}}<br />
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br />
{{Alg|U y F U R U R' U' R U' R' F'|F2L}}<br />
{{Alg|(U' F' U' F) U2 (F' U' F)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 34 ===<br />
[[Image:F2L34.png]]<br />
<br />
{{Alg|U' (R U2' R') U (R U R')|F2L}}<br />
{{Alg|U (R U R') U2 (R U R')|F2L}}<br />
{{Alg|d (R' U R) U2 (R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 35 ===<br />
[[Image:F2L35.png]]<br />
<br />
{{Alg|(U' R U R') d (R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br />
{{Alg|U M' U R U' r' R U' R'|F2L}}<br />
{{Alg|U' l U' R U l' U R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 36 ===<br />
[[Image:F2L36.png]]<br />
<br />
{{Alg|d (R' U' R) d' (R U R')|F2L}}<br />
{{Alg|y U2 (L' U L) U (F U F')|F2L}}<br />
{{Alg|U F' U' F U' (R U R')|F2L}}<br />
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge and Corner in Place==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 37 ===<br />
[[Image:F2L37.png]]<br />
<br />
Solved<br />
<br />
|<br />
<br />
=== F2L 38 ===<br />
[[Image:F2L38.png]]<br />
<br />
{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br />
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 39 ===<br />
[[Image:F2L39.png]]<br />
<br />
{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br />
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br />
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br />
{{Alg|(R U2 R' U2) (R U2 R' U') R U R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 40 ===<br />
[[Image:F2L40.png]]<br />
<br />
{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br />
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br />
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R U2') (R' U' R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 41 ===<br />
[[Image:F2L41.png]]<br />
<br />
{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br />
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br />
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br />
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br />
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br />
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br />
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
== See Also ==<br />
* [[Keyhole First Two Layers]]<br />
* [[Advanced F2L]]<br />
* [[ZBF2L]]<br />
* [[Fridrich Method]]<br />
* [[Petrus Method]]<br />
<br />
== External Resources ==<br />
=== Beginner ===<br />
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br />
<br />
=== Standard ===<br />
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br />
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br />
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br />
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br />
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br />
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br />
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br />
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto <br />
<br />
=== Advanced ===<br />
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br />
* [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]<br />
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br />
<br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=17149First Two Layers2012-02-28T12:32:22Z<p>Peterbone: /* F2L 24 */</p>
<hr />
<div>{{Method Infobox<br />
|name=F2L<br />
|image=F2Linfo.png<br />
|proposers=[[René Schoof]]<br />
|year=1981<br />
|anames=<br />
|variants=[[ZBF2L]], [[VHF2L]], [[WV]], possibly others<br />
|steps=1<br />
|algs=42<br />
|moves=7.8 [[HTM]] a slot<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br />
<br />
The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br />
<br />
[[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br />
<br />
<br clear=all><br />
== Approaches ==<br />
<br />
=== Petrus F2L ===<br />
<br />
Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br />
<br />
=== Fridrich F2L ===<br />
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br />
<br />
The concept of pairing up four corner/edge pairs was first proposed by [[René Schoof]] in 1981.<br />
<br />
{{F2L}}<br />
<br />
==Easy Cases==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 1 ===<br />
[[Image:F2L01.png]]<br />
<br />
{{Alg|U (R U' R')|F2L}}<br />
{{Alg|R' F R F'|F2L}}<br />
{{Alg|U2 (R U2 R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 2 ===<br />
[[Image:F2L02.png]]<br />
<br />
{{Alg|y' U' (R' U R)|F2L}}<br />
{{Alg|U' (F' U F)|F2L}}<br />
{{Alg|F R' F' R|F2L}}<br />
{{Alg|d' L' U L|F2L}}<br />
{{Alg|r U R' U' M|F2L}}<br />
{{Alg|(U2) l R U' R' U l'|F2L}}<br />
{{Alg|(U') F R' F' R2 U' R'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
{{Alg|y (L' U' L)|F2L}}<br />
{{alg|F' U' F|F2L}}<br />
{{Alg|U M R U' R' U M'|F2L}}<br />
{{Alg|U r' R2 U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 4 ===<br />
[[Image:F2L04.png]]<br />
<br />
{{Alg|(R U R')|F2L}}<br />
{{Alg|(U2) L (R U' R') U L'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 5 ===<br />
[[Image:F2L05.png]]<br />
<br />
{{Alg|(U' R U R') U2 (R U' R')|F2L}}<br />
{{Alg|(U' R U R') U (R' F R F')|F2L}}<br />
{{Alg|F2 (L' U' L U) F2|F2L}}<br />
{{Alg|L U' R U L' R' U2 R U' R'|F2L}}<br />
{{Alg|U' (R U R') U' R U2 R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 6 ===<br />
[[Image:F2L06.png]]<br />
<br />
{{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br />
{{Alg|U' (r U' R' U) (R U r')|F2L}}<br />
{{Alg|R2 (B U B' U') R2|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br />
{{Alg|M' U' M U2 r U' r'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 8 ===<br />
[[Image:F2L08.png]]<br />
<br />
{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br />
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge and Flip Corner==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 9 ===<br />
[[Image:F2L09.png]]<br />
<br />
{{Alg|d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br />
{{Alg|U r U R' U' R2 r' U' R'|F2L}}<br />
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|F (R U R' U') F' R U' R'|F2L}}<br />
{{Alg|(U F' U' F) U' (F' U' F)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
{{Alg|R d' R U R' U2 F'|F2L}}<br />
{{Alg|U F' U F U' R U R'|F2L}}<br />
{{Alg|d R' U R d' R U R'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 11 ===<br />
[[Image:F2L11.png]]<br />
<br />
{{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br />
{{Alg|(y) L' d L' U2 L U2 F|F2L}}<br />
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|U (F R' F' R)2 U' R U R'|F2L}}<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br />
{{Alg|R' U2 R2 U R2 U R|F2L}}<br />
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 13 ===<br />
[[Image:F2L13.png]]<br />
<br />
{{Alg|d (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|(U F' U F) U' (F' U' F)|F2L}}<br />
<br />
Front right slot open : R' U R F' U' F<br />
<br />
|<br />
<br />
=== F2L 14 ===<br />
[[Image:F2L14.png]]<br />
<br />
{{Alg|U' (R U' R' U)(R U R')|F2L}}<br />
{{Alg|d' F U' F' d R U R'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Split Pair by Going Over==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 15 ===<br />
[[Image:F2L15.png]]<br />
<br />
{{Alg|M U L F' L' U' M'|F2L}}<br />
{{Alg|U (R' F R F') U (R U R')|F2L}}<br />
{{Alg|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br />
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br />
Front left slot open: U (R U' R') D (R U' R') D'<br />
<br />
<br />
|<br />
<br />
=== F2L 16 ===<br />
[[Image:F2L16.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R)|F2L}}<br />
{{Alg|(R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 17 ===<br />
[[Image:F2L17.png]]<br />
<br />
{{Alg|(R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 18 ===<br />
[[Image:F2L18.png]]<br />
<br />
{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br />
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br />
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br />
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Pair Made on Side==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 19 ===<br />
[[Image:F2L19.png]]<br />
<br />
{{Alg|U R U2 R2 (F R F')|F2L}}<br />
{{Alg|U (R U2 R') U (R U' R')|F2L}}<br />
{{Alg|(R U2 R' U') U' (R U' R' U)(R U R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}<br />
{{Alg|U' (R U' R2' F R F') (R U' R')|F2L}}<br />
{{Alg|d' L' U2 L U' L' U L|F2L}} <br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
{{Alg|(R U' R') U2 (R U R')|F2L}}<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
{{Alg|R B U2 B' R'|F2L}}<br />
{{Alg|U2 R x' U' R U x R2'|F2L}}<br />
{{Alg|U F R U R' U' R' F' R|F2L}}<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
{{Alg|y' (R' U R) U2 (R' U' R)|F2l}}<br />
{{Alg|F' L' U2 L F|F2L}}<br />
{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|y2 U' d' (R' U' R U')(R' U R)|F2L}}<br />
{{Alg| r U' r' U2 r U r'|F2L}}<br />
{{Alg|U F R U R' U' F' R U R' U2'|F2L}}<br />
{{Alg|d2 y' R' U' R U' R' U R|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Weird==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 23 ===<br />
[[Image:F2L23.png]]<br />
<br />
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
{{Alg|U (F R' F' R) U (R U R')|F2L}}<br />
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br />
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br />
{{Alg|(R U2 R') (F' U F) U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<br />
{{Alg|U F' L' U L F R U R'|F2L}}<br />
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br />
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U' (R U R' U) (R U') (l U' R' U l') |F2L}}<br />
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br />
{{Alg|F U (R U' R' F')(R U' R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Corner in Place, Edge in U Face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 25 ===<br />
[[Image:F2L25.png]]<br />
<br />
{{Alg|d' (L' U L) d (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U (F U F')|F2L}}<br />
{{Alg|U' (F' U F) U (R U' R')|F2L}}<br />
{{Alg|U' M' U R U' r' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br />
{{Alg|R' F' R U R U' R' F|F2L}}<br />
{{Alg|(U') F' R U R' U' R' F R|F2L}}<br />
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br />
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br />
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}<br />
{{Alg|y U R' u' R U' R' U u R|F2L}}<br />
If the back right slot is open:<br />
{{Alg|R2 U' R' U R2|F2L}}<br />
{{Alg|U D' R U' R' D|F2L}}<br />
<br />
<br />
|<br />
<br />
=== F2L 26 ===<br />
[[Image:F2L26.png]]<br />
<br />
{{Alg|U (R U' R') d' (L' U L)|F2L}}<br />
{{Alg|U (R U' R') U' (F' U F)|F2L}}<br />
{{Alg|U (R U' R') (F R' F' R)|F2L}}<br />
{{Alg|U R U (r' R U' R' U M')|F2L}}<br />
{{Alg|U R U' M' U R' U' M|F2L}}<br />
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R2)(F R F')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 28 ===<br />
[[Image:F2L28.png]]<br />
<br />
{{Alg|(R U R' U') F R' F' R |F2L}}<br />
{{Alg|y' (R' U R U')(R' U R)|F2L}}<br />
{{Alg|(R U R') U (F' U2 F)|F2L}}<br />
{{Alg|R U2 l U' R' U l'|F2L}}<br />
{{Alg|(R U R') U l2 F' l' U l'|F2L}}<br />
{{Alg|(F' U F2)(R' F' R)|F2L}}<br />
{{Alg|(U2) R' F R F2 L' U2 L F|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 29 ===<br />
[[Image:F2L29.png]]<br />
<br />
{{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br />
{{Alg|(R' F R F')(R' F R F')|F2L}}<br />
{{Alg|M' U R U' r' U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 30 ===<br />
[[Image:F2L30.png]]<br />
<br />
{{Alg|(R U R' U')(R U R')|F2L}}<br />
{{Alg|U2 (F' U F)(R U R')|F2L}}<br />
{{Alg|U' (R U2 R')U2 (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge in Place, Corner in U face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 31 ===<br />
[[Image:F2L31.png]]<br />
<br />
{{Alg|(R U' R') d (R' U R)|F2L}}<br />
{{Alg|(R U' R' U)(F' U F)|F2L}}<br />
{{Alg|U' R' F R F' R U' R'|F2L}}<br />
{{Alg|R U' l U' R' U l'|F2L}}<br />
{{Alg|F2 r U r' F R U' R'|F2L}}<br />
{{Alg|R U2 R' U' F R' F' R|F2L}}<br />
|<br />
<br />
=== F2L 32 ===<br />
[[Image:F2L32.png]]<br />
<br />
{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br />
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br />
{{Alg|U2 R d' R U R' d R'|F2L}}<br />
{{Alg|U R d' R U2 R' d R'|F2L}}<br />
{{Alg|R2 U R2 U R2 U2 R2|F2L}}<br />
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br />
{{Alg|(R U2 R') (F' U2 F) U' (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 33 ===<br />
[[Image:F2L33.png]]<br />
<br />
{{Alg|y U' L' U' R' U L U' R|F2L}}<br />
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br />
{{Alg|U y F U R U R' U' R U' R' F'|F2L}}<br />
{{Alg|(U' F' U' F) U2 (F' U' F)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 34 ===<br />
[[Image:F2L34.png]]<br />
<br />
{{Alg|U' (R U2' R') U (R U R')|F2L}}<br />
{{Alg|U (R U R') U2 (R U R')|F2L}}<br />
{{Alg|d (R' U R) U2 (R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 35 ===<br />
[[Image:F2L35.png]]<br />
<br />
{{Alg|(U' R U R') d (R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br />
{{Alg|U M' U R U' r' R U' R'|F2L}}<br />
{{Alg|U' l U' R U l' U R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 36 ===<br />
[[Image:F2L36.png]]<br />
<br />
{{Alg|d (R' U' R) d' (R U R')|F2L}}<br />
{{Alg|y U2 (L' U L) U (F U F')|F2L}}<br />
{{Alg|U F' U' F U' (R U R')|F2L}}<br />
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge and Corner in Place==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 37 ===<br />
[[Image:F2L37.png]]<br />
<br />
Solved<br />
<br />
|<br />
<br />
=== F2L 38 ===<br />
[[Image:F2L38.png]]<br />
<br />
{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br />
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 39 ===<br />
[[Image:F2L39.png]]<br />
<br />
{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br />
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br />
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br />
{{Alg|(R U2 R' U2) (R U2 R' U') R U R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 40 ===<br />
[[Image:F2L40.png]]<br />
<br />
{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br />
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br />
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R U2') (R' U' R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 41 ===<br />
[[Image:F2L41.png]]<br />
<br />
{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br />
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br />
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br />
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br />
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br />
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br />
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
== See Also ==<br />
* [[Keyhole First Two Layers]]<br />
* [[Advanced F2L]]<br />
* [[ZBF2L]]<br />
* [[Fridrich Method]]<br />
* [[Petrus Method]]<br />
<br />
== External Resources ==<br />
=== Beginner ===<br />
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br />
<br />
=== Standard ===<br />
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br />
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br />
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br />
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br />
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br />
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br />
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br />
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto <br />
<br />
=== Advanced ===<br />
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br />
* [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]<br />
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br />
<br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=User_talk:Grisou&diff=17132User talk:Grisou2012-02-21T11:23:05Z<p>Peterbone: Created page with "Can you explain the F2L algs you added recently? A lot of them are longer, slower version of the ones that are already there. For example, adding RU algs that are longer than the..."</p>
<hr />
<div>Can you explain the F2L algs you added recently? A lot of them are longer, slower version of the ones that are already there. For example, adding RU algs that are longer than the ones already listed. The empty slot ones are ok.</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=17079First Two Layers2012-02-17T11:46:47Z<p>Peterbone: /* F2L 11 */</p>
<hr />
<div>{{Method Infobox<br />
|name=F2L<br />
|image=F2Linfo.png<br />
|proposers=[[René Schoof]]<br />
|year=1981<br />
|anames=<br />
|variants=[[ZBF2L]], [[VHF2L]], [[WV]], possibly others<br />
|steps=1<br />
|algs=42<br />
|moves=7.8 [[HTM]] a slot<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br />
<br />
The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br />
<br />
[[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br />
<br />
<br clear=all><br />
== Approaches ==<br />
<br />
=== Petrus F2L ===<br />
<br />
Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br />
<br />
=== Fridrich F2L ===<br />
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br />
<br />
The concept of pairing up four corner/edge pairs was first proposed by [[René Schoof]] in 1981.<br />
<br />
{{F2L}}<br />
<br />
==Easy Cases==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 1 ===<br />
[[Image:F2L01.png]]<br />
<br />
{{Alg|U (R U' R')|F2L}}<br />
{{Alg|R' F R F'|F2L}}<br />
{{Alg|U2 (R U2 R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 2 ===<br />
[[Image:F2L02.png]]<br />
<br />
{{Alg|y' U' (R' U R)|F2L}}<br />
{{Alg|U' (F' U F)|F2L}}<br />
{{Alg|F R' F' R|F2L}}<br />
{{Alg|d' L' U L|F2L}}<br />
{{Alg|r U R' U' M|F2L}}<br />
{{Alg|(U2) l R U' R' U l'|F2L}}<br />
{{Alg|(U') F R' F' R2 U' R'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
{{Alg|y (L' U' L)|F2L}}<br />
{{alg|F' U' F|F2L}}<br />
{{Alg|U M R U' R' U M'|F2L}}<br />
{{Alg|U r' R2 U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 4 ===<br />
[[Image:F2L04.png]]<br />
<br />
{{Alg|(R U R')|F2L}}<br />
{{Alg|(U2) L (R U' R') U L'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 5 ===<br />
[[Image:F2L05.png]]<br />
<br />
{{Alg|(U' R U R') U2 (R U' R')|F2L}}<br />
{{Alg|(U' R U R') U (R' F R F')|F2L}}<br />
{{Alg|F2 (L' U' L U) F2|F2L}}<br />
<br />
|<br />
<br />
=== F2L 6 ===<br />
[[Image:F2L06.png]]<br />
<br />
{{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br />
{{Alg|U' (r U' R' U) (R U r')|F2L}}<br />
{{Alg|R2 (B U B' U') R2|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br />
{{Alg|M' U' M U2 r U' r'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 8 ===<br />
[[Image:F2L08.png]]<br />
<br />
{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br />
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge and Flip Corner==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 9 ===<br />
[[Image:F2L09.png]]<br />
<br />
{{Alg|d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br />
{{Alg|U r U R' U' R2 r' U' R'|F2L}}<br />
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|F (R U R' U') F' R U' R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
{{Alg|R d' R U R' U2 F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 11 ===<br />
[[Image:F2L11.png]]<br />
<br />
{{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br />
{{Alg|(y) L' d L' U2 L U2 F|F2L}}<br />
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|U (F R' F' R)2 U' R U R'|F2L}}<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br />
{{Alg|R' U2 R2 U R2 U R|F2L}}<br />
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 13 ===<br />
[[Image:F2L13.png]]<br />
<br />
{{Alg|d (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 14 ===<br />
[[Image:F2L14.png]]<br />
<br />
{{Alg|U' (R U' R' U)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Split Pair by Going Over==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 15 ===<br />
[[Image:F2L15.png]]<br />
<br />
{{Alg|M U L F' L' U' M'|F2L}}<br />
{{Alg|U (R' F R F') U (R U R')|F2L}}<br />
{{Alg|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br />
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br />
Front left slot open: U (R U' R') D (R U' R') D'<br />
<br />
<br />
|<br />
<br />
=== F2L 16 ===<br />
[[Image:F2L16.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R)|F2L}}<br />
{{Alg|(R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 17 ===<br />
[[Image:F2L17.png]]<br />
<br />
{{Alg|(R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 18 ===<br />
[[Image:F2L18.png]]<br />
<br />
{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br />
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br />
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br />
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Pair Made on Side==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 19 ===<br />
[[Image:F2L19.png]]<br />
<br />
{{Alg|U R U2 R2 (F R F')|F2L}}<br />
{{Alg|U (R U2 R') U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}<br />
{{Alg|U' (R U' R2' F R F') (R U' R')|F2L}} <br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
{{Alg|(R U' R') U2 (R U R')|F2L}}<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
{{Alg|R B U2 B' R'|F2L}}<br />
{{Alg|U2 R x' U' R U x R2'|F2L}}<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
{{Alg|y' (R' U R) U2 (R' U' R)|F2l}}<br />
{{Alg|F' L' U2 L F|F2L}}<br />
{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|y2 U' d' (R' U' R U')(R' U R)|F2L}}<br />
{{Alg| r U' r' U2 r U r'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Weird==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 23 ===<br />
[[Image:F2L23.png]]<br />
<br />
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
{{Alg|U (F R' F' R) U (R U R')|F2L}}<br />
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br />
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<br />
{{Alg|U F' L' U L F R U R'|F2L}}<br />
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br />
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br />
{{Alg|F U (R U' R' F')(R U' R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Corner in Place, Edge in U Face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 25 ===<br />
[[Image:F2L25.png]]<br />
<br />
{{Alg|d' (L' U L) d (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U (F U F')|F2L}}<br />
{{Alg|U' (F' U F) U (R U' R')|F2L}}<br />
{{Alg|U' M' U R U' r' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br />
{{Alg|R' F' R U R U' R' F|F2L}}<br />
{{Alg|(U') F' R U R' U' R' F R|F2L}}<br />
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br />
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br />
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}<br />
{{Alg|y U R' u' R U' R' U u R|F2L}}<br />
If the back right slot is open:<br />
{{Alg|R2 U' R' U R2|F2L}}<br />
{{Alg|U D' R U' R' D|F2L}}<br />
<br />
<br />
|<br />
<br />
=== F2L 26 ===<br />
[[Image:F2L26.png]]<br />
<br />
{{Alg|U (R U' R') d' (L' U L)|F2L}}<br />
{{Alg|U (R U' R') U' (F' U F)|F2L}}<br />
{{Alg|U (R U' R') (F R' F' R)|F2L}}<br />
{{Alg|U R U (r' R U' R' U M')|F2L}}<br />
{{Alg|U R U' M' U R' U' M|F2L}}<br />
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R2)(F R F')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 28 ===<br />
[[Image:F2L28.png]]<br />
<br />
{{Alg|(R U R' U') F R' F' R |F2L}}<br />
{{Alg|y' (R' U R U')(R' U R)|F2L}}<br />
{{Alg|(R U R') U (F' U2 F)|F2L}}<br />
{{Alg|R U2 l U' R' U l'|F2L}}<br />
{{Alg|(R U R') U l2 F' l' U l'|F2L}}<br />
{{Alg|(F' U F2)(R' F' R)|F2L}}<br />
{{Alg|(U2) R' F R F2 L' U2 L F|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 29 ===<br />
[[Image:F2L29.png]]<br />
<br />
{{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br />
{{Alg|(R' F R F')(R' F R F')|F2L}}<br />
{{Alg|M' U R U' r' U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 30 ===<br />
[[Image:F2L30.png]]<br />
<br />
{{Alg|(R U R' U')(R U R')|F2L}}<br />
{{Alg|U2 (F' U F)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge in Place, Corner in U face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 31 ===<br />
[[Image:F2L31.png]]<br />
<br />
{{Alg|(R U' R') d (R' U R)|F2L}}<br />
{{Alg|(R U' R' U)(F' U F)|F2L}}<br />
{{Alg|U' R' F R F' R U' R'|F2L}}<br />
{{Alg|R U' l U' R' U l'|F2L}}<br />
{{Alg|F2 r U r' F R U' R'|F2L}}<br />
|<br />
<br />
=== F2L 32 ===<br />
[[Image:F2L32.png]]<br />
<br />
{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br />
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br />
{{Alg|U2 R d' R U R' d R'|F2L}}<br />
{{Alg|U R d' R U2 R' d R'|F2L}}<br />
{{Alg|R2 U R2 U R2 U2 R2|F2L}}<br />
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 33 ===<br />
[[Image:F2L33.png]]<br />
<br />
{{Alg|y U' L' U' R' U L U' R|F2L}}<br />
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 34 ===<br />
[[Image:F2L34.png]]<br />
<br />
{{Alg|U' (R U2' R') U (R U R')|F2L}}<br />
{{Alg|U (R U R') U2 (R U R')|F2L}}<br />
{{Alg|d (R' U R) U2 (R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 35 ===<br />
[[Image:F2L35.png]]<br />
<br />
{{Alg|(U' R U R') d (R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br />
{{Alg|U M' U R U' r' R U' R'|F2L}}<br />
{{Alg|U' l U' R U l' U R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 36 ===<br />
[[Image:F2L36.png]]<br />
<br />
{{Alg|d (R' U' R) d' (R U R')|F2L}}<br />
{{Alg|y U2 (L' U L) U (F U F')|F2L}}<br />
{{Alg|U F' U' F U' (R U R')|F2L}}<br />
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge and Corner in Place==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 37 ===<br />
[[Image:F2L37.png]]<br />
<br />
Solved<br />
<br />
|<br />
<br />
=== F2L 38 ===<br />
[[Image:F2L38.png]]<br />
<br />
{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br />
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 39 ===<br />
[[Image:F2L39.png]]<br />
<br />
{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br />
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br />
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 40 ===<br />
[[Image:F2L40.png]]<br />
<br />
{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br />
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br />
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R U2') (R' U' R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 41 ===<br />
[[Image:F2L41.png]]<br />
<br />
{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br />
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br />
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br />
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br />
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br />
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br />
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
== See Also ==<br />
* [[Keyhole First Two Layers]]<br />
* [[Advanced F2L]]<br />
* [[ZBF2L]]<br />
* [[Fridrich Method]]<br />
* [[Petrus Method]]<br />
<br />
== External Resources ==<br />
=== Beginner ===<br />
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br />
<br />
=== Standard ===<br />
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br />
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br />
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br />
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br />
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br />
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br />
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br />
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto <br />
<br />
=== Advanced ===<br />
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br />
* [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]<br />
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br />
<br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=16532ELL2011-12-06T14:27:58Z<p>Peterbone: /* U-PLL b */</p>
<hr />
<div>{{Method Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|steps=1<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''Edges of Last Layer''', or normally '''[[ELL]]''', is a [[method]] that solves the last layer [[edge]]s of the [[3x3x3]] in one algorithm as the last step in the solution, normally after performing [[CLL]] to solve the last layer [[corner]]s. There are 29 cases in ELL, of these are three pure flips, four are [[EPLL]] and six cases are 3-cycles (besides the two in EPLL), all useful also for other methods, like [[BLD]].<br />
<br />
ELL is also used for a method of solving the last layer edges on larger cubes. Since there are 8 of each type of [[wing]], though, ELL for larger cubes requires more than one look due to the large number of cases, see [[KBCM Step 6|KBCM]] for a compleate 3-look ELL for the [[4x4x4 cube]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See Also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External Links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive:==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
Example, 4-flip: '''P U2 O U2 P U'''' ... P U2 sets up for O that flips four edges (O' works the same in this case, choose the fastets), U2 P is restoration of the setup and last U is AUF.<br />
<br />
==2-look ELL:==<br />
Use any ELL that orients what you currently got (3 cases) from the listings below and finnish it using [[EPLL]] (4 cases). Most [[OLL]]s that preserves corner orientation will probably also do for the first look but don't count on it, some may change corner permutation while orienting the edges.<br />
<br />
Another way to solve ELL in 2 looks is to use [[L5E]], but that is desigend for solving one more edge than this is so there will be nearly the same number of algs as full ELL (5+16).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
The naming convention here is; wich edges are fliped if they where [[permute]]d and which [[EPLL]] would it be if all was correctly [[orient]]ed.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
<br />
|<br />
Smile =)<br />
|}<br />
<br />
==EPLLs==<br />
Please do not add algs to the EPLL section, the ones here are just examples, all EPLLs are at the [[PLL|PLL-page]], put your contributions there too, else we will end up having two separate lists and we don't want that.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M'2 U M U2 M' U M'2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
{{Alg|(y') M'2 u' M' u'2 M' u' M'2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
<br />
<br />
|<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
[[Category:Methods]]<br />
[[Category:3x3x3 Methods]]<br />
[[Category:Last Layer Methods]]<br />
[[Category:Algorithms]]<br />
[[Category:Sub Steps]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=16530CLL algorithms (3x3x3)2011-12-05T10:05:25Z<p>Peterbone: /* U B */</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choice but the original method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
{{Alg|(x) R D' R' U R' U R' D R U' R U' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
{{Alg|!}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
{{Alg|(x') R U' R' D R U2 R' D' R U' R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
{{Alg|(x') R2 D2 R' U2 R D2 R' U2 R' (x)|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
{{Alg|R2' D' R U2 R' D R U2 R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
{{Alg| b' R' U2 L' U R U' L U2 b|stage=CLL}}<br />
{{Alg|U R' U L U' R U2 F U' F' L'|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y2 x') U' R U' R D R' U R' U R' D' R (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
{{Alg|R2' U' R F R' U R2 U' R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br />
{{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br />
{{Alg|(y') R' U' R U l U' R' U (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
{{Alg|(y x') R U R' D R U' R U' R' U R' D' (x)|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
{{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br />
{{Alg|(y') R U R' U' R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L' (y2)|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 L' (x')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
{{Alg|(y2) R' U' R U' R' U R U' R' U R U' R' U2 R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
{{Alg|(x') R' F2 R2 U' R' U R' F2 R (x)|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
{{Alg|(y) F R U' R' U' R U R' F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
{{Alg|R' U2 R' D' R U2 R' D R2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
{{Alg|(y' x') R U R' D R U2 R' D' R U R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
{{Alg|(y) F R' F' R U R U' R'|stage=CLL}}<br />
}}<br />
|}<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
{{Alg|(y2) L' U' B L' B' L U' L U L' U L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' U2 L B' L' B U2 B' L|stage=CLL}}<br />
{{Alg|(x') U L' F2 L U' L' U F2 U' r|stage=CLL}}<br />
{{Alg|(x) D R2 D2 R U2 R' D2 R U2 R D' (x')|stage=CLL}}<br />
{{Alg|(y) R2' D' R U' R' D R U' R U R' U R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
}}<br />
|}<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
{{Alg|R' U' R U' R' U2 R|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
{{Alg|(y2) R' U' R U' R B' R' B R' U2 R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
{{Alg|(y x') R' D R U' R2' D' R2 U (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
{{Alg|(y x') D R2 U' R2' D' R U R' (x)|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
{{Alg|(y) R' U' R U' R' U R' D' R U R' D R2|stage=CLL}}<br />
}}<br />
|}<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
{{Alg|F R U R' U' R U R' U' R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
}}<br />
|}<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
{{Alg|(y) F (R U R' U') (R U R' U') F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
{{Alg|(y') R' U' R U' R' d R' U R B|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U R' U2 R' F R F'|stage=CLL}}<br />
{{Alg|(x') D R2 U' R' U R U' R2' D' R U R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
{{Alg|R U' L' U R' U L U L' U L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L' U2 L U L' U' L U2 L F' L' F|stage=CLL}}<br />
{{Alg|(y x') R U R' D R U' R U' R2' D' R U R' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=16501First Two Layers2011-11-25T09:33:15Z<p>Peterbone: /* F2L 20 */</p>
<hr />
<div>{{Method Infobox<br />
|name=F2L<br />
|image=F2Linfo.png<br />
|proposers=[[René Schoof]]<br />
|year=1981<br />
|anames=<br />
|variants=[[ZBF2L]], [[VHF2L]], [[WV]], possibly others<br />
|steps=1<br />
|algs=42<br />
|moves=7.8 [[HTM]] a slot<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br />
<br />
The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br />
<br />
[[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br />
<br />
<br clear=all><br />
== Approaches ==<br />
<br />
=== Petrus F2L ===<br />
<br />
Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br />
<br />
=== Fridrich F2L ===<br />
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br />
<br />
The concept of pairing up four corner/edge pairs was first proposed by [[René Schoof]] in 1981.<br />
<br />
{{F2L}}<br />
<br />
==Easy Cases==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 1 ===<br />
[[Image:F2L01.png]]<br />
<br />
{{Alg|U (R U' R')|F2L}}<br />
{{Alg|R' F R F'|F2L}}<br />
{{Alg|U2 (R U2 R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 2 ===<br />
[[Image:F2L02.png]]<br />
<br />
{{Alg|y' U' (R' U R)|F2L}}<br />
{{Alg|F R' F' R|F2L}}<br />
{{Alg|d' L' U L|F2L}}<br />
{{Alg|r U R' U' M|F2L}}<br />
{{Alg|(U2) l R U' R' U l'|F2L}}<br />
{{Alg|(U') F R' F' R2 U' R'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
{{Alg|y (L' U' L)|F2L}}<br />
{{alg|F' U' F|F2L}}<br />
{{Alg|U M R U' R' U M'|F2L}}<br />
{{Alg|U r' R2 U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 4 ===<br />
[[Image:F2L04.png]]<br />
<br />
{{Alg|(R U R')|F2L}}<br />
{{Alg|(U2) L (R U' R') U L'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 5 ===<br />
[[Image:F2L05.png]]<br />
<br />
{{Alg|(U' R U R') U2 (R U' R')|F2L}}<br />
{{Alg|(U' R U R') U (R' F R F')|F2L}}<br />
{{Alg|F2 (L' U' L U) F2|F2L}}<br />
<br />
|<br />
<br />
=== F2L 6 ===<br />
[[Image:F2L06.png]]<br />
<br />
{{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br />
{{Alg|U' (r U' R' U) (R U r')|F2L}}<br />
{{Alg|R2 (B U B' U') R2|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br />
{{Alg|M' U' M U2 r U' r'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 8 ===<br />
[[Image:F2L08.png]]<br />
<br />
{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br />
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge and Flip Corner==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 9 ===<br />
[[Image:F2L09.png]]<br />
<br />
{{Alg|d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br />
{{Alg|U r U R' U' R2 r' U' R'|F2L}}<br />
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|F (R U R' U') F' R U' R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
{{Alg|R d' R U R' U2 F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 11 ===<br />
[[Image:F2L11.png]]<br />
<br />
{{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br />
{{Alg|(y) L' d L' U2 L U2 F|F2L}}<br />
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br />
{{Alg|R' U2 R2 U R2 U R|F2L}}<br />
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 13 ===<br />
[[Image:F2L13.png]]<br />
<br />
{{Alg|d (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 14 ===<br />
[[Image:F2L14.png]]<br />
<br />
{{Alg|U' (R U' R' U)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Split Pair by Going Over==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 15 ===<br />
[[Image:F2L15.png]]<br />
<br />
{{Alg|M U L F' L' U' M'|F2L}}<br />
{{Alg|U (R' F R F') U (R U R')|F2L}}<br />
{{Alg|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br />
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br />
Front left slot open: U (R U' R') D (R U' R') D'<br />
<br />
<br />
|<br />
<br />
=== F2L 16 ===<br />
[[Image:F2L16.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R)|F2L}}<br />
{{Alg|(R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 17 ===<br />
[[Image:F2L17.png]]<br />
<br />
{{Alg|(R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 18 ===<br />
[[Image:F2L18.png]]<br />
<br />
{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br />
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br />
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br />
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Pair Made on Side==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 19 ===<br />
[[Image:F2L19.png]]<br />
<br />
{{Alg|U R U2 R2 (F R F')|F2L}}<br />
{{Alg|U (R U2 R') U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}<br />
{{Alg|U' (R U' R2' F R F') (R U' R')|F2L}} <br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
{{Alg|(R U' R') U2 (R U R')|F2L}}<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
{{Alg|R B U2 B' R'|F2L}}<br />
{{Alg|U2 R x' U' R U x R2'|F2L}}<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
{{Alg|y' (R' U R) U2 (R' U' R)|F2l}}<br />
{{Alg|F' L' U2 L F|F2L}}<br />
{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|y2 U' d' (R' U' R U')(R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Weird==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 23 ===<br />
[[Image:F2L23.png]]<br />
<br />
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
{{Alg|U (F R' F' R) U (R U R')|F2L}}<br />
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br />
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<br />
{{Alg|U F' L' U L F R U R'|F2L}}<br />
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br />
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br />
{{Alg|F U (R U' R' F')(R U' R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Corner in Place, Edge in U Face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 25 ===<br />
[[Image:F2L25.png]]<br />
<br />
{{Alg|d' (L' U L) d (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U (F U F')|F2L}}<br />
{{Alg|U' (F' U F) U (R U' R')|F2L}}<br />
{{Alg|U' M' U R U' r' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br />
{{Alg|R' F' R U R U' R' F|F2L}}<br />
{{Alg|(U') F' R U R' U' R' F R|F2L}}<br />
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br />
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br />
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}<br />
{{Alg|y U R' u' R U' R' U u R|F2L}}<br />
If the back right slot is open:<br />
{{Alg|R2 U' R' U R2|F2L}}<br />
{{Alg|U D' R U' R' D|F2L}}<br />
<br />
<br />
|<br />
<br />
=== F2L 26 ===<br />
[[Image:F2L26.png]]<br />
<br />
{{Alg|U (R U' R') d' (L' U L)|F2L}}<br />
{{Alg|U (R U' R') U' (F' U F)|F2L}}<br />
{{Alg|U (R U' R') (F R' F' R)|F2L}}<br />
{{Alg|U R U (r' R U' R' U M')|F2L}}<br />
{{Alg|U R U' M' U R' U' M|F2L}}<br />
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R2)(F R F')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 28 ===<br />
[[Image:F2L28.png]]<br />
<br />
{{Alg|(R U R' U') F R' F' R |F2L}}<br />
{{Alg|y' (R' U R U')(R' U R)|F2L}}<br />
{{Alg|(R U R') U (F' U2 F)|F2L}}<br />
{{Alg|R U2 l U' R' U l'|F2L}}<br />
{{Alg|(R U R') U l2 F' l' U l'|F2L}}<br />
{{Alg|(F' U F2)(R' F' R)|F2L}}<br />
{{Alg|(U2) R' F R F2 L' U2 L F|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 29 ===<br />
[[Image:F2L29.png]]<br />
<br />
{{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br />
{{Alg|(R' F R F')(R' F R F')|F2L}}<br />
{{Alg|M' U R U' r' U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 30 ===<br />
[[Image:F2L30.png]]<br />
<br />
{{Alg|(R U R' U')(R U R')|F2L}}<br />
{{Alg|U2 (F' U F)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge in Place, Corner in U face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 31 ===<br />
[[Image:F2L31.png]]<br />
<br />
{{Alg|(R U' R') d (R' U R)|F2L}}<br />
{{Alg|(R U' R' U)(F' U F)|F2L}}<br />
{{Alg|U' R' F R F' R U' R'|F2L}}<br />
{{Alg|R U' l U' R' U l'|F2L}}<br />
{{Alg|F2 r U r' F R U' R'|F2L}}<br />
|<br />
<br />
=== F2L 32 ===<br />
[[Image:F2L32.png]]<br />
<br />
{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br />
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br />
{{Alg|U2 R d' R U R' d R'|F2L}}<br />
{{Alg|U R d' R U2 R' d R'|F2L}}<br />
{{Alg|R2 U R2 U R2 U2 R2|F2L}}<br />
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 33 ===<br />
[[Image:F2L33.png]]<br />
<br />
{{Alg|y U' L' U' R' U L U' R|F2L}}<br />
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 34 ===<br />
[[Image:F2L34.png]]<br />
<br />
{{Alg|U' (R U2' R') U (R U R')|F2L}}<br />
{{Alg|U (R U R') U2 (R U R')|F2L}}<br />
{{Alg|d (R' U R) U2 (R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 35 ===<br />
[[Image:F2L35.png]]<br />
<br />
{{Alg|(U' R U R') d (R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br />
{{Alg|U M' U R U' r' R U' R'|F2L}}<br />
{{Alg|U' l U' R U l' U R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 36 ===<br />
[[Image:F2L36.png]]<br />
<br />
{{Alg|d (R' U' R) d' (R U R')|F2L}}<br />
{{Alg|y U2 (L' U L) U (F U F')|F2L}}<br />
{{Alg|U F' U' F U' (R U R')|F2L}}<br />
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge and Corner in Place==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 37 ===<br />
[[Image:F2L37.png]]<br />
<br />
Solved<br />
<br />
|<br />
<br />
=== F2L 38 ===<br />
[[Image:F2L38.png]]<br />
<br />
{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br />
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 39 ===<br />
[[Image:F2L39.png]]<br />
<br />
{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br />
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br />
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 40 ===<br />
[[Image:F2L40.png]]<br />
<br />
{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br />
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br />
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R U2') (R' U' R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 41 ===<br />
[[Image:F2L41.png]]<br />
<br />
{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br />
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br />
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br />
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br />
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br />
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br />
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
== See Also ==<br />
* [[Keyhole First Two Layers]]<br />
* [[Advanced F2L]]<br />
* [[ZBF2L]]<br />
* [[Fridrich Method]]<br />
* [[Petrus Method]]<br />
<br />
== External Resources ==<br />
=== Beginner ===<br />
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br />
<br />
=== Standard ===<br />
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br />
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br />
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br />
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br />
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br />
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br />
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br />
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto <br />
<br />
=== Advanced ===<br />
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br />
* [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]<br />
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br />
<br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=16483First Two Layers2011-11-23T10:38:33Z<p>Peterbone: /* F2L 16 */</p>
<hr />
<div>{{Method Infobox<br />
|name=F2L<br />
|image=F2Linfo.png<br />
|proposers=<br />
|year=<br />
|anames=<br />
|variants=[[ZBF2L]], [[VHF2L]], [[WV]], possibly others<br />
|steps=1<br />
|algs=42<br />
|moves=7.8 [[HTM]] a slot<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br />
<br />
The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br />
<br />
[[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br />
<br />
<br clear=all><br />
== Approaches ==<br />
<br />
=== Petrus F2L ===<br />
<br />
Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br />
<br />
=== Fridrich F2L ===<br />
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br />
<br />
The concept of pairing up four corner/edge pairs was first proposed by [[Ren Schoof]] in 1981.<br />
<br />
{{F2L}}<br />
<br />
<br />
==Easy Cases==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 1 ===<br />
[[Image:F2L01.png]]<br />
<br />
{{Alg|U (R U' R')|F2L}}<br />
{{Alg|R' F R F'|F2L}}<br />
{{Alg|U2 (R U2 R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 2 ===<br />
[[Image:F2L02.png]]<br />
<br />
{{Alg|y' U' (R' U R)|F2L}}<br />
{{Alg|F R' F' R|F2L}}<br />
{{Alg|d' L' U L|F2L}}<br />
{{Alg|r U R' U' M|F2L}}<br />
{{Alg|(U2) l R U' R' U l'|F2L}}<br />
{{Alg|(U') F R' F' R2 U' R'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
{{Alg|y (L' U' L)|F2L}}<br />
{{alg|F' U' F|F2L}}<br />
{{Alg|U M R U' R' U M'|F2L}}<br />
{{Alg|U r' R2 U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 4 ===<br />
[[Image:F2L04.png]]<br />
<br />
{{Alg|(R U R')|F2L}}<br />
{{Alg|(U2) L (R U' R') U L'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 5 ===<br />
[[Image:F2L05.png]]<br />
<br />
{{Alg|(U' R U R') U2 (R U' R')|F2L}}<br />
{{Alg|(U' R U R') U (R' F R F')|F2L}}<br />
{{Alg|F2 (L' U' L U) F2|F2L}}<br />
<br />
|<br />
<br />
=== F2L 6 ===<br />
[[Image:F2L06.png]]<br />
<br />
{{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br />
{{Alg|U' (r U' R' U) (R U r')|F2L}}<br />
{{Alg|R2 (B U B' U') R2|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br />
{{Alg|M' U' M U2 r U' r'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 8 ===<br />
[[Image:F2L08.png]]<br />
<br />
{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br />
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge and Flip Corner==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 9 ===<br />
[[Image:F2L09.png]]<br />
<br />
{{Alg|d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br />
{{Alg|U r U R' U' R2 r' U' R'|F2L}}<br />
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|F (R U R' U') F' R U' R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
{{Alg|R d' R U R' U2 F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 11 ===<br />
[[Image:F2L11.png]]<br />
<br />
{{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br />
{{Alg|(y) L' d L' U2 L U2 F|F2L}}<br />
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br />
{{Alg|R' U2 R2 U R2 U R|F2L}}<br />
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 13 ===<br />
[[Image:F2L13.png]]<br />
<br />
{{Alg|d (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 14 ===<br />
[[Image:F2L14.png]]<br />
<br />
{{Alg|U' (R U' R' U)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Split Pair by Going Over==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 15 ===<br />
[[Image:F2L15.png]]<br />
<br />
{{Alg|M U L F' L' U' M'|F2L}}<br />
{{Alg|U (R' F R F') U (R U R')|F2L}}<br />
{{Alg|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br />
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br />
Front left slot open: U (R U' R') D (R U' R') D'<br />
<br />
<br />
|<br />
<br />
=== F2L 16 ===<br />
[[Image:F2L16.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R)|F2L}}<br />
{{Alg|(R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 17 ===<br />
[[Image:F2L17.png]]<br />
<br />
{{Alg|(R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 18 ===<br />
[[Image:F2L18.png]]<br />
<br />
{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br />
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br />
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br />
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Pair Made on Side==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 19 ===<br />
[[Image:F2L19.png]]<br />
<br />
{{Alg|U R U2 R2 (F R F')|F2L}}<br />
{{Alg|U (R U2 R') U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
{{Alg|(R U' R') U2 (R U R')|F2L}}<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
{{Alg|R B U2 B' R'|F2L}}<br />
{{Alg|U2 R x' U' R U x R2'|F2L}}<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
{{Alg|y' (R' U R) U2 (R' U' R)|F2l}}<br />
{{Alg|F' L' U2 L F|F2L}}<br />
{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|y2 U' d' (R' U' R U')(R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Weird==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 23 ===<br />
[[Image:F2L23.png]]<br />
<br />
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
{{Alg|U (F R' F' R) U (R U R')|F2L}}<br />
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br />
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<br />
{{Alg|U F' L' U L F R U R'|F2L}}<br />
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br />
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br />
{{Alg|F U (R U' R' F')(R U' R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Corner in Place, Edge in U Face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 25 ===<br />
[[Image:F2L25.png]]<br />
<br />
{{Alg|d' (L' U L) d (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U (F U F')|F2L}}<br />
{{Alg|U' (F' U F) U (R U' R')|F2L}}<br />
{{Alg|U' M' U R U' r' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br />
{{Alg|R' F' R U R U' R' F|F2L}}<br />
{{Alg|(U') F' R U R' U' R' F R|F2L}}<br />
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br />
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br />
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}<br />
{{Alg|y U R' u' R U' R' U u R|F2L}}<br />
If the back right slot is open:<br />
{{Alg|R2 U' R' U R2|F2L}}<br />
{{Alg|U D' R U' R' D|F2L}}<br />
<br />
<br />
|<br />
<br />
=== F2L 26 ===<br />
[[Image:F2L26.png]]<br />
<br />
{{Alg|U (R U' R') d' (L' U L)|F2L}}<br />
{{Alg|U (R U' R') U' (F' U F)|F2L}}<br />
{{Alg|U (R U' R') (F R' F' R)|F2L}}<br />
{{Alg|U R U (r' R U' R' U M')|F2L}}<br />
{{Alg|U R U' M' U R' U' M|F2L}}<br />
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R2)(F R F')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 28 ===<br />
[[Image:F2L28.png]]<br />
<br />
{{Alg|(R U R' U') F R' F' R |F2L}}<br />
{{Alg|y' (R' U R U')(R' U R)|F2L}}<br />
{{Alg|(R U R') U (F' U2 F)|F2L}}<br />
{{Alg|R U2 l U' R' U l'|F2L}}<br />
{{Alg|(R U R') U l2 F' l' U l'|F2L}}<br />
{{Alg|(F' U F2)(R' F' R)|F2L}}<br />
{{Alg|(U2) R' F R F2 L' U2 L F|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 29 ===<br />
[[Image:F2L29.png]]<br />
<br />
{{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br />
{{Alg|(R' F R F')(R' F R F')|F2L}}<br />
{{Alg|M' U R U' r' U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 30 ===<br />
[[Image:F2L30.png]]<br />
<br />
{{Alg|(R U R' U')(R U R')|F2L}}<br />
{{Alg|U2 (F' U F)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge in Place, Corner in U face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 31 ===<br />
[[Image:F2L31.png]]<br />
<br />
{{Alg|(R U' R') d (R' U R)|F2L}}<br />
{{Alg|(R U' R' U)(F' U F)|F2L}}<br />
{{Alg|U' R' F R F' R U' R'|F2L}}<br />
{{Alg|R U' l U' R' U l'|F2L}}<br />
{{Alg|F2 r U r' F R U' R'|F2L}}<br />
|<br />
<br />
=== F2L 32 ===<br />
[[Image:F2L32.png]]<br />
<br />
{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br />
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br />
{{Alg|U2 R d' R U R' d R'|F2L}}<br />
{{Alg|U R d' R U2 R' d R'|F2L}}<br />
{{Alg|R2 U R2 U R2 U2 R2|F2L}}<br />
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 33 ===<br />
[[Image:F2L33.png]]<br />
<br />
{{Alg|y U' L' U' R' U L U' R|F2L}}<br />
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 34 ===<br />
[[Image:F2L34.png]]<br />
<br />
{{Alg|U' (R U2' R') U (R U R')|F2L}}<br />
{{Alg|U (R U R') U2 (R U R')|F2L}}<br />
{{Alg|d (R' U R) U2 (R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 35 ===<br />
[[Image:F2L35.png]]<br />
<br />
{{Alg|(U' R U R') d (R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br />
{{Alg|U M' U R U' r' R U' R'|F2L}}<br />
{{Alg|U' l U' R U l' U R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 36 ===<br />
[[Image:F2L36.png]]<br />
<br />
{{Alg|d (R' U' R) d' (R U R')|F2L}}<br />
{{Alg|y U2 (L' U L) U (F U F')|F2L}}<br />
{{Alg|U F' U' F U' (R U R')|F2L}}<br />
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge and Corner in Place==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 37 ===<br />
[[Image:F2L37.png]]<br />
<br />
Solved<br />
<br />
|<br />
<br />
=== F2L 38 ===<br />
[[Image:F2L38.png]]<br />
<br />
{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br />
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 39 ===<br />
[[Image:F2L39.png]]<br />
<br />
{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br />
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br />
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 40 ===<br />
[[Image:F2L40.png]]<br />
<br />
{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br />
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br />
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R U2') (R' U' R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 41 ===<br />
[[Image:F2L41.png]]<br />
<br />
{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br />
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br />
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br />
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br />
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br />
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br />
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
== See Also ==<br />
* [[Keyhole First Two Layers]]<br />
* [[Advanced F2L]]<br />
* [[ZBF2L]]<br />
* [[Fridrich Method]]<br />
* [[Petrus Method]]<br />
<br />
== External Resources ==<br />
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br />
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br />
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br />
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br />
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br />
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br />
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br />
* [http://cubefreak.net/speed/cfop/f2ladvanced/index.html Cubefreak Advanced F2L]<br />
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br />
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br />
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto <br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=16482First Two Layers2011-11-23T10:26:04Z<p>Peterbone: /* F2L 28 */</p>
<hr />
<div>{{Method Infobox<br />
|name=F2L<br />
|image=F2Linfo.png<br />
|proposers=<br />
|year=<br />
|anames=<br />
|variants=[[ZBF2L]], [[VHF2L]], [[WV]], possibly others<br />
|steps=1<br />
|algs=42<br />
|moves=7.8 [[HTM]] a slot<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br />
<br />
The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br />
<br />
[[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br />
<br />
<br clear=all><br />
== Approaches ==<br />
<br />
=== Petrus F2L ===<br />
<br />
Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br />
<br />
=== Fridrich F2L ===<br />
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br />
<br />
The concept of pairing up four corner/edge pairs was first proposed by [[Ren Schoof]] in 1981.<br />
<br />
{{F2L}}<br />
<br />
<br />
==Easy Cases==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 1 ===<br />
[[Image:F2L01.png]]<br />
<br />
{{Alg|U (R U' R')|F2L}}<br />
{{Alg|R' F R F'|F2L}}<br />
{{Alg|U2 (R U2 R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 2 ===<br />
[[Image:F2L02.png]]<br />
<br />
{{Alg|y' U' (R' U R)|F2L}}<br />
{{Alg|F R' F' R|F2L}}<br />
{{Alg|d' L' U L|F2L}}<br />
{{Alg|r U R' U' M|F2L}}<br />
{{Alg|(U2) l R U' R' U l'|F2L}}<br />
{{Alg|(U') F R' F' R2 U' R'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
{{Alg|y (L' U' L)|F2L}}<br />
{{alg|F' U' F|F2L}}<br />
{{Alg|U M R U' R' U M'|F2L}}<br />
{{Alg|U r' R2 U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 4 ===<br />
[[Image:F2L04.png]]<br />
<br />
{{Alg|(R U R')|F2L}}<br />
{{Alg|(U2) L (R U' R') U L'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 5 ===<br />
[[Image:F2L05.png]]<br />
<br />
{{Alg|(U' R U R') U2 (R U' R')|F2L}}<br />
{{Alg|(U' R U R') U (R' F R F')|F2L}}<br />
{{Alg|F2 (L' U' L U) F2|F2L}}<br />
<br />
|<br />
<br />
=== F2L 6 ===<br />
[[Image:F2L06.png]]<br />
<br />
{{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br />
{{Alg|U' (r U' R' U) (R U r')|F2L}}<br />
{{Alg|R2 (B U B' U') R2|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br />
{{Alg|M' U' M U2 r U' r'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 8 ===<br />
[[Image:F2L08.png]]<br />
<br />
{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br />
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge and Flip Corner==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 9 ===<br />
[[Image:F2L09.png]]<br />
<br />
{{Alg|d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br />
{{Alg|U r U R' U' R2 r' U' R'|F2L}}<br />
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|F (R U R' U') F' R U' R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
{{Alg|R d' R U R' U2 F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 11 ===<br />
[[Image:F2L11.png]]<br />
<br />
{{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br />
{{Alg|(y) L' d L' U2 L U2 F|F2L}}<br />
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br />
{{Alg|R' U2 R2 U R2 U R|F2L}}<br />
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 13 ===<br />
[[Image:F2L13.png]]<br />
<br />
{{Alg|d (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 14 ===<br />
[[Image:F2L14.png]]<br />
<br />
{{Alg|U' (R U' R' U)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Split Pair by Going Over==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 15 ===<br />
[[Image:F2L15.png]]<br />
<br />
{{Alg|M U L F' L' U' M'|F2L}}<br />
{{Alg|U (R' F R F') U (R U R')|F2L}}<br />
{{Alg|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br />
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br />
Front left slot open: U (R U' R') D (R U' R') D'<br />
<br />
<br />
|<br />
<br />
=== F2L 16 ===<br />
[[Image:F2L16.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R)|F2L}}<br />
{{Alg|(R U' R') U2 (F' U' F)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 17 ===<br />
[[Image:F2L17.png]]<br />
<br />
{{Alg|(R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 18 ===<br />
[[Image:F2L18.png]]<br />
<br />
{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br />
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br />
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br />
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Pair Made on Side==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 19 ===<br />
[[Image:F2L19.png]]<br />
<br />
{{Alg|U R U2 R2 (F R F')|F2L}}<br />
{{Alg|U (R U2 R') U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
{{Alg|(R U' R') U2 (R U R')|F2L}}<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
{{Alg|R B U2 B' R'|F2L}}<br />
{{Alg|U2 R x' U' R U x R2'|F2L}}<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
{{Alg|y' (R' U R) U2 (R' U' R)|F2l}}<br />
{{Alg|F' L' U2 L F|F2L}}<br />
{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|y2 U' d' (R' U' R U')(R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Weird==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 23 ===<br />
[[Image:F2L23.png]]<br />
<br />
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
{{Alg|U (F R' F' R) U (R U R')|F2L}}<br />
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br />
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<br />
{{Alg|U F' L' U L F R U R'|F2L}}<br />
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br />
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br />
{{Alg|F U (R U' R' F')(R U' R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Corner in Place, Edge in U Face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 25 ===<br />
[[Image:F2L25.png]]<br />
<br />
{{Alg|d' (L' U L) d (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U (F U F')|F2L}}<br />
{{Alg|U' (F' U F) U (R U' R')|F2L}}<br />
{{Alg|U' M' U R U' r' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br />
{{Alg|R' F' R U R U' R' F|F2L}}<br />
{{Alg|(U') F' R U R' U' R' F R|F2L}}<br />
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br />
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br />
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}<br />
{{Alg|y U R' u' R U' R' U u R|F2L}}<br />
If the back right slot is open:<br />
{{Alg|R2 U' R' U R2|F2L}}<br />
{{Alg|U D' R U' R' D|F2L}}<br />
<br />
<br />
|<br />
<br />
=== F2L 26 ===<br />
[[Image:F2L26.png]]<br />
<br />
{{Alg|U (R U' R') d' (L' U L)|F2L}}<br />
{{Alg|U (R U' R') U' (F' U F)|F2L}}<br />
{{Alg|U (R U' R') (F R' F' R)|F2L}}<br />
{{Alg|U R U (r' R U' R' U M')|F2L}}<br />
{{Alg|U R U' M' U R' U' M|F2L}}<br />
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R2)(F R F')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 28 ===<br />
[[Image:F2L28.png]]<br />
<br />
{{Alg|(R U R' U') F R' F' R |F2L}}<br />
{{Alg|y' (R' U R U')(R' U R)|F2L}}<br />
{{Alg|(R U R') U (F' U2 F)|F2L}}<br />
{{Alg|R U2 l U' R' U l'|F2L}}<br />
{{Alg|(R U R') U l2 F' l' U l'|F2L}}<br />
{{Alg|(F' U F2)(R' F' R)|F2L}}<br />
{{Alg|(U2) R' F R F2 L' U2 L F|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 29 ===<br />
[[Image:F2L29.png]]<br />
<br />
{{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br />
{{Alg|(R' F R F')(R' F R F')|F2L}}<br />
{{Alg|M' U R U' r' U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 30 ===<br />
[[Image:F2L30.png]]<br />
<br />
{{Alg|(R U R' U')(R U R')|F2L}}<br />
{{Alg|U2 (F' U F)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge in Place, Corner in U face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 31 ===<br />
[[Image:F2L31.png]]<br />
<br />
{{Alg|(R U' R') d (R' U R)|F2L}}<br />
{{Alg|(R U' R' U)(F' U F)|F2L}}<br />
{{Alg|U' R' F R F' R U' R'|F2L}}<br />
{{Alg|R U' l U' R' U l'|F2L}}<br />
{{Alg|F2 r U r' F R U' R'|F2L}}<br />
|<br />
<br />
=== F2L 32 ===<br />
[[Image:F2L32.png]]<br />
<br />
{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br />
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br />
{{Alg|U2 R d' R U R' d R'|F2L}}<br />
{{Alg|U R d' R U2 R' d R'|F2L}}<br />
{{Alg|R2 U R2 U R2 U2 R2|F2L}}<br />
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 33 ===<br />
[[Image:F2L33.png]]<br />
<br />
{{Alg|y U' L' U' R' U L U' R|F2L}}<br />
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 34 ===<br />
[[Image:F2L34.png]]<br />
<br />
{{Alg|U' (R U2' R') U (R U R')|F2L}}<br />
{{Alg|U (R U R') U2 (R U R')|F2L}}<br />
{{Alg|d (R' U R) U2 (R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 35 ===<br />
[[Image:F2L35.png]]<br />
<br />
{{Alg|(U' R U R') d (R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br />
{{Alg|U M' U R U' r' R U' R'|F2L}}<br />
{{Alg|U' l U' R U l' U R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 36 ===<br />
[[Image:F2L36.png]]<br />
<br />
{{Alg|d (R' U' R) d' (R U R')|F2L}}<br />
{{Alg|y U2 (L' U L) U (F U F')|F2L}}<br />
{{Alg|U F' U' F U' (R U R')|F2L}}<br />
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge and Corner in Place==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 37 ===<br />
[[Image:F2L37.png]]<br />
<br />
Solved<br />
<br />
|<br />
<br />
=== F2L 38 ===<br />
[[Image:F2L38.png]]<br />
<br />
{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br />
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 39 ===<br />
[[Image:F2L39.png]]<br />
<br />
{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br />
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br />
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 40 ===<br />
[[Image:F2L40.png]]<br />
<br />
{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br />
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br />
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R U2') (R' U' R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 41 ===<br />
[[Image:F2L41.png]]<br />
<br />
{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br />
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br />
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br />
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br />
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br />
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br />
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
== See Also ==<br />
* [[Keyhole First Two Layers]]<br />
* [[Advanced F2L]]<br />
* [[ZBF2L]]<br />
* [[Fridrich Method]]<br />
* [[Petrus Method]]<br />
<br />
== External Resources ==<br />
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br />
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br />
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br />
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br />
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br />
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br />
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br />
* [http://cubefreak.net/speed/cfop/f2ladvanced/index.html Cubefreak Advanced F2L]<br />
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br />
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br />
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto <br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=16400First Two Layers2011-10-31T12:00:41Z<p>Peterbone: /* F2L 35 */</p>
<hr />
<div>{{Method Infobox<br />
|name=F2L<br />
|image=F2Linfo.png<br />
|proposers=<br />
|year=<br />
|anames=<br />
|variants=[[ZBF2L]], [[VHF2L]], [[WV]], possibly others<br />
|steps=1<br />
|algs=42<br />
|moves=7.8 [[HTM]] a slot<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br />
<br />
The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br />
<br />
[[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br />
<br />
<br clear=all><br />
== Approaches ==<br />
<br />
=== Petrus F2L ===<br />
<br />
Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br />
<br />
=== Fridrich F2L ===<br />
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br />
<br />
The concept of pairing up four corner/edge pairs was first proposed by [[Ren Schoof]] in 1981.<br />
<br />
{{F2L}}<br />
<br />
<br />
==Easy Cases==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 1 ===<br />
[[Image:F2L01.png]]<br />
<br />
{{Alg|U (R U' R')|F2L}}<br />
{{Alg|R' F R F'|F2L}}<br />
{{Alg|U2 (R U2 R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 2 ===<br />
[[Image:F2L02.png]]<br />
<br />
{{Alg|y' U' (R' U R)|F2L}}<br />
{{Alg|F R' F' R|F2L}}<br />
{{Alg|d' L' U L|F2L}}<br />
{{Alg|r U R' U' M|F2L}}<br />
{{Alg|(U2) l R U' R' U l'|F2L}}<br />
{{Alg|(U') F R' F' R2 U' R'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
{{Alg|y (L' U' L)|F2L}}<br />
{{alg|F' U' F|F2L}}<br />
{{Alg|U M R U' R' U M'|F2L}}<br />
{{Alg|U r' R2 U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 4 ===<br />
[[Image:F2L04.png]]<br />
<br />
{{Alg|(R U R')|F2L}}<br />
{{Alg|(U2) L (R U' R') U L'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 5 ===<br />
[[Image:F2L05.png]]<br />
<br />
{{Alg|(U' R U R') U2 (R U' R')|F2L}}<br />
{{Alg|(U' R U R') U (R' F R F')|F2L}}<br />
{{Alg|F2 (L' U' L U) F2|F2L}}<br />
<br />
|<br />
<br />
=== F2L 6 ===<br />
[[Image:F2L06.png]]<br />
<br />
{{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br />
{{Alg|U' (r U' R' U) (R U r')|F2L}}<br />
{{Alg|R2 (B U B' U') R2|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br />
{{Alg|M' U' M U2 r U' r'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 8 ===<br />
[[Image:F2L08.png]]<br />
<br />
{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br />
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge and Flip Corner==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 9 ===<br />
[[Image:F2L09.png]]<br />
<br />
{{Alg|d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br />
{{Alg|U r U R' U' R2 r' U' R'|F2L}}<br />
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|F (R U R' U') F' R U' R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
{{Alg|R d' R U R' U2 F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 11 ===<br />
[[Image:F2L11.png]]<br />
<br />
{{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br />
{{Alg|(y) L' d L' U2 L U2 F|F2L}}<br />
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br />
{{Alg|R' U2 R2 U R2 U R|F2L}}<br />
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 13 ===<br />
[[Image:F2L13.png]]<br />
<br />
{{Alg|d (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 14 ===<br />
[[Image:F2L14.png]]<br />
<br />
{{Alg|U' (R U' R' U)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Split Pair by Going Over==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 15 ===<br />
[[Image:F2L15.png]]<br />
<br />
{{Alg|M U L F' L' U' M'|F2L}}<br />
{{Alg|U (R' F R F') U (R U R')|F2L}}<br />
{{Alg|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br />
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br />
Front left slot open: U (R U' R') D (R U' R') D'<br />
<br />
<br />
|<br />
<br />
=== F2L 16 ===<br />
[[Image:F2L16.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R)|F2L}}<br />
{{Alg|(R U' R') U2 (F' U' F)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 17 ===<br />
[[Image:F2L17.png]]<br />
<br />
{{Alg|(R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 18 ===<br />
[[Image:F2L18.png]]<br />
<br />
{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br />
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br />
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br />
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Pair Made on Side==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 19 ===<br />
[[Image:F2L19.png]]<br />
<br />
{{Alg|U R U2 R2 (F R F')|F2L}}<br />
{{Alg|U (R U2 R') U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
{{Alg|(R U' R') U2 (R U R')|F2L}}<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
{{Alg|R B U2 B' R'|F2L}}<br />
{{Alg|U2 R x' U' R U x R2'|F2L}}<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
{{Alg|y' (R' U R) U2 (R' U' R)|F2l}}<br />
{{Alg|F' L' U2 L F|F2L}}<br />
{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|y2 U' d' (R' U' R U')(R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Weird==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 23 ===<br />
[[Image:F2L23.png]]<br />
<br />
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
{{Alg|U (F R' F' R) U (R U R')|F2L}}<br />
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br />
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<br />
{{Alg|U F' L' U L F R U R'|F2L}}<br />
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br />
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br />
{{Alg|F U (R U' R' F')(R U' R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Corner in Place, Edge in U Face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 25 ===<br />
[[Image:F2L25.png]]<br />
<br />
{{Alg|d' (L' U L) d (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U (F U F')|F2L}}<br />
{{Alg|U' (F' U F) U (R U' R')|F2L}}<br />
{{Alg|U' M' U R U' r' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br />
{{Alg|R' F' R U R U' R' F|F2L}}<br />
{{Alg|(U') F' R U R' U' R' F R|F2L}}<br />
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br />
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br />
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}<br />
{{Alg|y U R' u' R U' R' U u R|F2L}}<br />
If the back right slot is open:<br />
{{Alg|R2 U' R' U R2|F2L}}<br />
{{Alg|U D' R U' R' D|F2L}}<br />
<br />
<br />
|<br />
<br />
=== F2L 26 ===<br />
[[Image:F2L26.png]]<br />
<br />
{{Alg|U (R U' R') d' (L' U L)|F2L}}<br />
{{Alg|U (R U' R') U' (F' U F)|F2L}}<br />
{{Alg|U (R U' R') (F R' F' R)|F2L}}<br />
{{Alg|U R U (r' R U' R' U M')|F2L}}<br />
{{Alg|U R U' M' U R' U' M|F2L}}<br />
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R2)(F R F')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 28 ===<br />
[[Image:F2L28.png]]<br />
<br />
{{Alg|(R U R' U') F R' F' R |F2L}}<br />
{{Alg|y' (R' U R U')(R' U R)|F2L}}<br />
{{Alg|(R U R') U (F' U2 F)|F2L}}<br />
{{Alg|R U2 l U' R' U l'|F2L}}<br />
{{Alg|(R U R') U l2 F' l' U l'|F2L}}<br />
{{Alg|(F' U F2)(R' F' R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 29 ===<br />
[[Image:F2L29.png]]<br />
<br />
{{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br />
{{Alg|(R' F R F')(R' F R F')|F2L}}<br />
{{Alg|M' U R U' r' U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 30 ===<br />
[[Image:F2L30.png]]<br />
<br />
{{Alg|(R U R' U')(R U R')|F2L}}<br />
{{Alg|U2 (F' U F)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge in Place, Corner in U face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 31 ===<br />
[[Image:F2L31.png]]<br />
<br />
{{Alg|(R U' R') d (R' U R)|F2L}}<br />
{{Alg|(R U' R' U)(F' U F)|F2L}}<br />
{{Alg|U' R' F R F' R U' R'|F2L}}<br />
{{Alg|R U' l U' R' U l'|F2L}}<br />
{{Alg|F2 r U r' F R U' R'|F2L}}<br />
|<br />
<br />
=== F2L 32 ===<br />
[[Image:F2L32.png]]<br />
<br />
{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br />
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br />
{{Alg|U2 R d' R U R' d R'|F2L}}<br />
{{Alg|U R d' R U2 R' d R'|F2L}}<br />
{{Alg|R2 U R2 U R2 U2 R2|F2L}}<br />
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 33 ===<br />
[[Image:F2L33.png]]<br />
<br />
{{Alg|y U' L' U' R' U L U' R|F2L}}<br />
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 34 ===<br />
[[Image:F2L34.png]]<br />
<br />
{{Alg|U' (R U2' R') U (R U R')|F2L}}<br />
{{Alg|U (R U R') U2 (R U R')|F2L}}<br />
{{Alg|d (R' U R) U2 (R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 35 ===<br />
[[Image:F2L35.png]]<br />
<br />
{{Alg|(U' R U R') d (R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br />
{{Alg|U M' U R U' r' R U' R'|F2L}}<br />
{{Alg|U' l U' R U l' U R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 36 ===<br />
[[Image:F2L36.png]]<br />
<br />
{{Alg|d (R' U' R) d' (R U R')|F2L}}<br />
{{Alg|y U2 (L' U L) U (F U F')|F2L}}<br />
{{Alg|U F' U' F U' (R U R')|F2L}}<br />
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge and Corner in Place==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 37 ===<br />
[[Image:F2L37.png]]<br />
<br />
Solved<br />
<br />
|<br />
<br />
=== F2L 38 ===<br />
[[Image:F2L38.png]]<br />
<br />
{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br />
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 39 ===<br />
[[Image:F2L39.png]]<br />
<br />
{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br />
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br />
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 40 ===<br />
[[Image:F2L40.png]]<br />
<br />
{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br />
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br />
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R U2') (R' U' R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 41 ===<br />
[[Image:F2L41.png]]<br />
<br />
{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br />
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br />
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br />
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br />
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br />
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br />
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
== See Also ==<br />
* [[Keyhole First Two Layers]]<br />
* [[Advanced F2L]]<br />
* [[ZBF2L]]<br />
* [[Fridrich Method]]<br />
* [[Petrus Method]]<br />
<br />
== External Resources ==<br />
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br />
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br />
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br />
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br />
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br />
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br />
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br />
* [http://cubefreak.net/speed/cfop/f2ladvanced/index.html Cubefreak Advanced F2L]<br />
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br />
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br />
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto <br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=16399First Two Layers2011-10-31T11:48:41Z<p>Peterbone: /* F2L 41 */</p>
<hr />
<div>{{Method Infobox<br />
|name=F2L<br />
|image=F2Linfo.png<br />
|proposers=<br />
|year=<br />
|anames=<br />
|variants=[[ZBF2L]], [[VHF2L]], [[WV]], possibly others<br />
|steps=1<br />
|algs=42<br />
|moves=7.8 [[HTM]] a slot<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br />
<br />
The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br />
<br />
[[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br />
<br />
<br clear=all><br />
== Approaches ==<br />
<br />
=== Petrus F2L ===<br />
<br />
Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br />
<br />
=== Fridrich F2L ===<br />
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br />
<br />
The concept of pairing up four corner/edge pairs was first proposed by [[Ren Schoof]] in 1981.<br />
<br />
{{F2L}}<br />
<br />
<br />
==Easy Cases==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 1 ===<br />
[[Image:F2L01.png]]<br />
<br />
{{Alg|U (R U' R')|F2L}}<br />
{{Alg|R' F R F'|F2L}}<br />
{{Alg|U2 (R U2 R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 2 ===<br />
[[Image:F2L02.png]]<br />
<br />
{{Alg|y' U' (R' U R)|F2L}}<br />
{{Alg|F R' F' R|F2L}}<br />
{{Alg|d' L' U L|F2L}}<br />
{{Alg|r U R' U' M|F2L}}<br />
{{Alg|(U2) l R U' R' U l'|F2L}}<br />
{{Alg|(U') F R' F' R2 U' R'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
{{Alg|y (L' U' L)|F2L}}<br />
{{alg|F' U' F|F2L}}<br />
{{Alg|U M R U' R' U M'|F2L}}<br />
{{Alg|U r' R2 U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 4 ===<br />
[[Image:F2L04.png]]<br />
<br />
{{Alg|(R U R')|F2L}}<br />
{{Alg|(U2) L (R U' R') U L'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 5 ===<br />
[[Image:F2L05.png]]<br />
<br />
{{Alg|(U' R U R') U2 (R U' R')|F2L}}<br />
{{Alg|(U' R U R') U (R' F R F')|F2L}}<br />
{{Alg|F2 (L' U' L U) F2|F2L}}<br />
<br />
|<br />
<br />
=== F2L 6 ===<br />
[[Image:F2L06.png]]<br />
<br />
{{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br />
{{Alg|U' (r U' R' U) (R U r')|F2L}}<br />
{{Alg|R2 (B U B' U') R2|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br />
{{Alg|M' U' M U2 r U' r'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 8 ===<br />
[[Image:F2L08.png]]<br />
<br />
{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br />
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge and Flip Corner==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 9 ===<br />
[[Image:F2L09.png]]<br />
<br />
{{Alg|d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br />
{{Alg|U r U R' U' R2 r' U' R'|F2L}}<br />
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br />
{{Alg|F (R U R' U') F' R U' R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
{{Alg|R d' R U R' U2 F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 11 ===<br />
[[Image:F2L11.png]]<br />
<br />
{{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br />
{{Alg|(y) L' d L' U2 L U2 F|F2L}}<br />
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br />
{{Alg|R' U2 R2 U R2 U R|F2L}}<br />
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 13 ===<br />
[[Image:F2L13.png]]<br />
<br />
{{Alg|d (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 14 ===<br />
[[Image:F2L14.png]]<br />
<br />
{{Alg|U' (R U' R' U)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Split Pair by Going Over==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 15 ===<br />
[[Image:F2L15.png]]<br />
<br />
{{Alg|M U L F' L' U' M'|F2L}}<br />
{{Alg|U (R' F R F') U (R U R')|F2L}}<br />
{{Alg|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br />
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br />
Front left slot open: U (R U' R') D (R U' R') D'<br />
<br />
<br />
|<br />
<br />
=== F2L 16 ===<br />
[[Image:F2L16.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R)|F2L}}<br />
{{Alg|(R U' R') U2 (F' U' F)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 17 ===<br />
[[Image:F2L17.png]]<br />
<br />
{{Alg|(R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 18 ===<br />
[[Image:F2L18.png]]<br />
<br />
{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br />
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br />
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br />
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Pair Made on Side==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 19 ===<br />
[[Image:F2L19.png]]<br />
<br />
{{Alg|U R U2 R2 (F R F')|F2L}}<br />
{{Alg|U (R U2 R') U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
{{Alg|(R U' R') U2 (R U R')|F2L}}<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
{{Alg|R B U2 B' R'|F2L}}<br />
{{Alg|U2 R x' U' R U x R2'|F2L}}<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
{{Alg|y' (R' U R) U2 (R' U' R)|F2l}}<br />
{{Alg|F' L' U2 L F|F2L}}<br />
{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|y2 U' d' (R' U' R U')(R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Weird==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 23 ===<br />
[[Image:F2L23.png]]<br />
<br />
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
{{Alg|U (F R' F' R) U (R U R')|F2L}}<br />
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br />
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<br />
{{Alg|U F' L' U L F R U R'|F2L}}<br />
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br />
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br />
{{Alg|F U (R U' R' F')(R U' R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Corner in Place, Edge in U Face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 25 ===<br />
[[Image:F2L25.png]]<br />
<br />
{{Alg|d' (L' U L) d (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U (F U F')|F2L}}<br />
{{Alg|U' (F' U F) U (R U' R')|F2L}}<br />
{{Alg|U' M' U R U' r' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br />
{{Alg|R' F' R U R U' R' F|F2L}}<br />
{{Alg|(U') F' R U R' U' R' F R|F2L}}<br />
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br />
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br />
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}<br />
{{Alg|y U R' u' R U' R' U u R|F2L}}<br />
If the back right slot is open:<br />
{{Alg|R2 U' R' U R2|F2L}}<br />
{{Alg|U D' R U' R' D|F2L}}<br />
<br />
<br />
|<br />
<br />
=== F2L 26 ===<br />
[[Image:F2L26.png]]<br />
<br />
{{Alg|U (R U' R') d' (L' U L)|F2L}}<br />
{{Alg|U (R U' R') U' (F' U F)|F2L}}<br />
{{Alg|U (R U' R') (F R' F' R)|F2L}}<br />
{{Alg|U R U (r' R U' R' U M')|F2L}}<br />
{{Alg|U R U' M' U R' U' M|F2L}}<br />
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R2)(F R F')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 28 ===<br />
[[Image:F2L28.png]]<br />
<br />
{{Alg|(R U R' U') F R' F' R |F2L}}<br />
{{Alg|y' (R' U R U')(R' U R)|F2L}}<br />
{{Alg|(R U R') U (F' U2 F)|F2L}}<br />
{{Alg|R U2 l U' R' U l'|F2L}}<br />
{{Alg|(R U R') U l2 F' l' U l'|F2L}}<br />
{{Alg|(F' U F2)(R' F' R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 29 ===<br />
[[Image:F2L29.png]]<br />
<br />
{{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br />
{{Alg|(R' F R F')(R' F R F')|F2L}}<br />
{{Alg|M' U R U' r' U (R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 30 ===<br />
[[Image:F2L30.png]]<br />
<br />
{{Alg|(R U R' U')(R U R')|F2L}}<br />
{{Alg|U2 (F' U F)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge in Place, Corner in U face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 31 ===<br />
[[Image:F2L31.png]]<br />
<br />
{{Alg|(R U' R') d (R' U R)|F2L}}<br />
{{Alg|(R U' R' U)(F' U F)|F2L}}<br />
{{Alg|U' R' F R F' R U' R'|F2L}}<br />
{{Alg|R U' l U' R' U l'|F2L}}<br />
{{Alg|F2 r U r' F R U' R'|F2L}}<br />
|<br />
<br />
=== F2L 32 ===<br />
[[Image:F2L32.png]]<br />
<br />
{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br />
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br />
{{Alg|U2 R d' R U R' d R'|F2L}}<br />
{{Alg|U R d' R U2 R' d R'|F2L}}<br />
{{Alg|R2 U R2 U R2 U2 R2|F2L}}<br />
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 33 ===<br />
[[Image:F2L33.png]]<br />
<br />
{{Alg|y U' L' U' R' U L U' R|F2L}}<br />
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 34 ===<br />
[[Image:F2L34.png]]<br />
<br />
{{Alg|U' (R U2' R') U (R U R')|F2L}}<br />
{{Alg|U (R U R') U2 (R U R')|F2L}}<br />
{{Alg|d (R' U R) U2 (R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 35 ===<br />
[[Image:F2L35.png]]<br />
<br />
{{Alg|(U' R U R') d (R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br />
{{Alg|U M' U R U' r' R U' R'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 36 ===<br />
[[Image:F2L36.png]]<br />
<br />
{{Alg|d (R' U' R) d' (R U R')|F2L}}<br />
{{Alg|y U2 (L' U L) U (F U F')|F2L}}<br />
{{Alg|U F' U' F U' (R U R')|F2L}}<br />
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge and Corner in Place==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 37 ===<br />
[[Image:F2L37.png]]<br />
<br />
Solved<br />
<br />
|<br />
<br />
=== F2L 38 ===<br />
[[Image:F2L38.png]]<br />
<br />
{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br />
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 39 ===<br />
[[Image:F2L39.png]]<br />
<br />
{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br />
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br />
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 40 ===<br />
[[Image:F2L40.png]]<br />
<br />
{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br />
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br />
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R U2') (R' U' R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 41 ===<br />
[[Image:F2L41.png]]<br />
<br />
{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br />
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br />
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}<br />
<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br />
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br />
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br />
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br />
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
== See Also ==<br />
* [[Keyhole First Two Layers]]<br />
* [[Advanced F2L]]<br />
* [[ZBF2L]]<br />
* [[Fridrich Method]]<br />
* [[Petrus Method]]<br />
<br />
== External Resources ==<br />
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br />
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br />
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br />
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br />
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br />
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br />
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br />
* [http://cubefreak.net/speed/cfop/f2ladvanced/index.html Cubefreak Advanced F2L]<br />
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br />
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br />
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto <br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=16047ELL2011-10-13T11:06:33Z<p>Peterbone: /* Z-PLL */</p>
<hr />
<div>{{Method Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|steps=1<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''Edges of Last Layer''', or normally '''[[ELL]]''', is a [[method]] that solves the last layer [[edge]]s of the [[3x3x3]] in one algorithm as the last step in the solution, normally after performing [[CLL]] to solve the last layer [[corner]]s. There are 29 cases in ELL, of these are three pure flips, four are [[EPLL]] and six cases are 3-cycles (besides the two in EPLL), all useful also for other methods, like [[BLD]].<br />
<br />
ELL is also used for a method of solving the last layer edges on larger cubes. Since there are 8 of each type of [[wing]], though, ELL for larger cubes requires more than one look due to the large number of cases, see [[KBCM Step 6|KBCM]] for a compleate 3-look ELL for the [[4x4x4 cube]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See Also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External Links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive:==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
Example, 4-flip: '''P U2 O U2 P U'''' ... P U2 sets up for O that flips four edges (O' works the same in this case, choose the fastets), U2 P is restoration of the setup and last U is AUF.<br />
<br />
==2-look ELL:==<br />
Use any ELL that orients what you currently got (3 cases) from the listings below and finnish it using [[EPLL]] (4 cases). Most [[OLL]]s that preserves corner orientation will probably also do for the first look but don't count on it, some may change corner permutation while orienting the edges.<br />
<br />
Another way to solve ELL in 2 looks is to use [[L5E]], but that is desigend for solving one more edge than this is so there will be nearly the same number of algs as full ELL (5+16).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
The naming convention here is; wich edges are fliped if they where [[permute]]d and which [[EPLL]] would it be if all was correctly [[orient]]ed.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
<br />
|<br />
Smile =)<br />
|}<br />
<br />
==EPLLs==<br />
Please do not add algs to the EPLL section, the ones here are just examples, all EPLLs are at the [[PLL|PLL-page]], put your contributions there too, else we will end up having two separate lists and we don't want that.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M2 U M U2 M' U M2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
<br />
|-valign="top"<br />
|<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
<br />
<br />
|<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
{{Alg|r' U M2 U' r U2 r' U M2 U' r U2}}<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
[[Category:Methods]]<br />
[[Category:3x3x3 Methods]]<br />
[[Category:Last Layer Methods]]<br />
[[Category:Algorithms]]<br />
[[Category:Sub Steps]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=List_of_PC_cubing_software&diff=15934List of PC cubing software2011-09-30T09:00:31Z<p>Peterbone: /* Cube Simulators */</p>
<hr />
<div>== Description ==<br />
A very popular category of Rubik's cube software is the playable 3D Rubik's Cube (animated cube), often implemented as a Java applet, which has a long history. The first version of which many current programs are derived was made by Michael Shubart. After that, Karl Hornell made modifications in his version, which again was used by Lars Petrus on his website. Probably the most widely used is RubikPlayer by Werner Randelshofer.<br />
<br />
== Standalone Timers ==<br />
* [http://www.speedsolving.com/forum/showthread.php?25790-Prisma-Puzzle-Timer Prisma Puzzle Timer] Can be connected to Stackmat (Java). [http://www.speedsolving.com/forum/showthread.php?25790-Prisma-Puzzle-Timer Thread]<br />
* [http://www.strangepuzzle.com/jnetcube.html JNetCube] - (Java)<br />
* [http://code.google.com/p/rubiks-jtimer/ JTimer] - New version of JNetCube (Java)<br />
* [http://www.vanderblonk.com/tools/talking-timer/ Talking Timer]<br />
* [http://cube.garron.us/cct/ CALCubeTimer 0.9.5] - Interfaces with a stackmat through the microphone port (Java)<br />
* [http://www.ptimer.net/ PTimer] - Java-based timer designed for use in cubing videos<br />
* [http://www.ugolnik.info/?p=859 Rubik’s cube Stop-watch] - For Windows or Linux. [http://www.speedsolving.com/forum/showthread.php?t=22988 Thread]<br />
* [http://idkcode.co.cc/ Speedcubing Timer] - Speedcubing Timer written in AutoIt. Keeps a list of times for each puzzle. For Windows only, but works in Wine on Linux.<br />
<br />
== Solvers ==<br />
* [http://acesoftware.110mb.com/files/CubeTeacher.zip CubeTeacher] - Graphical Fridrich solver with annotated solutions. Aims to help the user learn the method (Windows, .NET Framework 2.0 required, freeware, currently beta)<br />
* [http://software.rubikscube.info/JACube/ ACube] ([[ACube|Wiki article]]) - Fast solver written by [[Josef Jelinek]], and is able to ignore pieces and specify different metrics upon loading. (Java, freeware, command-line based)<br />
* [https://github.com/josef-jelinek/acube ACube 4] - New version of ACube under development as of summer 2011<br />
* [http://kociemba.org/cube.htm Cube Explorer] ([[Cube Explorer|Wiki article]]) - Fast solver written by [[Herbert Kociemba]] with his algorithm (Windows, freeware, graphical)<br />
* [http://www.jaapsch.net/puzzles/cubie.htm Cubie] - Solver with animation (Java, freeware)<br />
* [http://www.wrongway.org/?rubik Rubik's Cube Solver by Eric Dietz] - (Windows/Linux, GPL)<br />
* [http://www.svekub.se/files/ksolve.zip ksolve] - A general puzzle solver by [[Kåre Krig]]. Uses a written definition file and scramble file, and is much slower than dedicated solvers. (Windows, freeware, command-line based) [http://www.speedsolving.com/forum/showthread.php?t=8024 Thread]<br />
* [http://www.ganpuzzle.com/vcube333demo.htm Learn to Solve Rubik's Cube with 3 Simple Tricks] - Step-by-step interactive animated solution (Java)<br />
* [http://www.ganpuzzle.com/hints3x3.htm Rubik's Solution Hints Booklet Step Animation] - Step-by-step interactive animated solution based on official booklet (Java)<br />
* [http://www.jaapsch.net/puzzles/square1.htm Square-1 Solver by Jaap Scherphuis] - Optimal and non-optimal solvers (C++), source included with non-optimal solver<br />
<br />
== Cube Simulators ==<br />
* [http://www.ultimatemagiccube.com Ultimate Magic Cube] - (Windows). Megaminx, pyraminx and much more<br />
* [http://gabbasoft.com/ Gabbasoft] - (Windows) A collection of NxNxN puzzles 2-20, and with [[supercube]]s<br />
* [http://www.glidingcube.com GlidingCube] - (Windows) A virtual cube puzzle. Intriguing but cannot be built physically.<br />
* [http://mzrg.com/java/IsoCubeSim/index.shtml IsoCubeSim] - (Java) A cube puzzle simulator which supports not only NxNxN puzzles (of any size), but arbitrary cuboids as well.<br />
* [http://www.superliminal.com/cube/cube.htm 4D Cube] - (Java)<br />
* [http://www.gravitation3d.com/magiccube5d/ 5D Cube] - (Windows)<br />
* [http://sourceforge.net/projects/rubiksim/ RubikSim] - (Windows) <br />
* [http://www.network54.com/Forum/178387/message/1191974095/ QBASIC Rubik's Cube] - (DOS/Windows) At 26,375 bytes (25.7 KB), a relatively large Rubik's cube program.<br />
* [http://www.leinweb.com/snackbar/cube/index.htm Hungarian HexaHedron ]- (Windows) It is amazing for FMC. Records your solution as you go.<br />
* [http://pbone.it-mate.co.uk/rubix.htm Rubix] - (Windows) simulator for cube sizes from 2x2x2 to 50x50x50. Supports custom face images<br />
<br />
== Trainers ==<br />
* [http://members.chello.nl/~a.ooms4/dl.html LL trainer by Alexander] - for windows - [http://members.chello.nl/~a.ooms4/LL-trainer1.9.zip download], [http://www.speedsolving.com/forum/showthread.php?t=157 thread].<br />
* [http://www.cdf.utoronto.ca/~g6karpat/pll_trainer/Pll_Trainer.zip PLL trainer by Badmephisto] - for windows - [http://www.speedsolving.com/forum/showthread.php?t=2193 thread] <br />
* [http://www.megaupload.com/?d=JZ53PRB8 Drill Sergeant GUI] - cross platform - [http://www.speedsolving.com/forum/showthread.php?t=9333 thread]<br />
* [http://www.4shared.com/file/MQrvvrzr/F2L_OLL_PLL_Trainer.html F2L OLL PLL Trainer] - html-based, but not available as a web site - [http://www.speedsolving.com/forum/showthread.php?t=20968 thread]<br />
* [http://t2.technion.ac.il/~syuripe/PLLRT.zip anonymous PLL trainer] - author unknown - [http://www.speedsolving.com/forum/showthread.php?p=360657#post360657 found here]<br />
* [http://web.telia.com/~u89404340/rubik/pll.py PLL trainer] - written in python - [http://www.speedsolving.com/forum/showthread.php?t=14349 thread]<br />
* [http://www.speedsolving.com/forum/attachment.php?attachmentid=877&d=1268787001 2-Sided PLL trainer] - excel spreadsheet with macros - [http://www.speedsolving.com/forum/showthread.php?t=19867 thread]<br />
* [http://amvhell.com/stuff/cubes/LLtimer_22.zip LL Timer by Zarxrax] - for windows - [http://www.speedsolving.com/forum/showthread.php?24850 thread]<br />
* [http://amvhell.com/stuff/cubes/CaseTrainer1.3.zip Case Trainer by Zarxrax] - for windows - [http://www.speedsolving.com/forum/showthread.php?26648 thread]<br />
<br />
== See Also ==<br />
* [[Web-based Software]]<br />
* [[Mobile Software]]<br />
<br />
<br />
[[Category:Cubing Utilities]]<br />
[[Category:Cubing Software]]</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=15657ELL2011-08-16T13:00:54Z<p>Peterbone: /* BF-flip U-PLL a */</p>
<hr />
<div>{{Method Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|steps=1<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''Edges of Last Layer''', or normally '''[[ELL]]''', is a [[method]] that solves the last layer [[edge]]s of the [[3x3x3]] in one algorithm as the last step in the solution, normally after performing [[CLL]] to solve the last layer [[corner]]s. There are 29 cases in ELL, of these are three pure flips, four are [[EPLL]] and six cases are 3-cycles (besides the two in EPLL), all useful also for other methods, like [[BLD]].<br />
<br />
ELL is also used for a method of solving the last layer edges on larger cubes. Since there are 8 of each type of [[wing]], though, ELL for larger cubes requires more than one look due to the large number of cases, see [[KBCM Step 6|KBCM]] for a compleate 3-look ELL for the [[4x4x4 cube]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See Also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External Links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive:==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
Example, 4-flip: '''P U2 O U2 P U'''' ... P U2 sets up for O that flips four edges (O' works the same in this case, choose the fastets), U2 P is restoration of the setup and last U is AUF.<br />
<br />
==2-look ELL:==<br />
Use any ELL that orients what you currently got (3 cases) from the listings below and finnish it using [[EPLL]] (4 cases). Most [[OLL]]s that preserves corner orientation will probably also do for the first look but don't count on it, some may change corner permutation while orienting the edges.<br />
<br />
Another way to solve ELL in 2 looks is to use [[L5E]], but that is desigend for solving one more edge than this is so there will be nearly the same number of algs as full ELL (5+16).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
The naming convention here is; wich edges are fliped if they where [[permute]]d and which [[EPLL]] would it be if all was correctly [[orient]]ed.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|R' U2 R2 U R' U' R' U2 r U R U' r'}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|U M' U M' U M' U M2 U M' U M' U M' U}}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
{{Alg|B' R B R' U R' U' M' U R U' R B' R' B M}}<br />
{{Alg|(y) R' U R2 U R' U' R' U2 r U R U' r' R' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U' M' U M' U M' U M' U'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
<br />
|<br />
Smile =)<br />
|}<br />
<br />
==EPLLs==<br />
Please do not add algs to the EPLL section, the ones here are just examples, all EPLLs are at the [[PLL|PLL-page]], put your contributions there too, else we will end up having two separate lists and we don't want that.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M2 U M U2 M' U M2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
<br />
|-valign="top"<br />
|<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L' U2 L F R B U2 B' R' F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
{{Alg|(y2) (f R U R' U' f') (R' U' R' F R F' U R)}}<br />
{{Alg|(y') M' U M U2 r U R' U M U' R U' R' U}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y') M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
{{Alg|(y2) (f' L' U' L U f) (L U L F' L' F U' L')}}<br />
{{Alg|(y') M U' M' U2 r' U' R U' M' U R' U R U'}}<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|(y2) M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
{{Alg|(y') r2 U2 R2 U M' U' R2 U' M' U2 M2 U r2}}<br />
<br />
|<br />
<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|(y2) M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
{{Alg|(y') r' U' R U2 R2 U2 R r U R2 U R2 r' U r U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
{{Alg|(y') r2 U M2 U2 M' U' R2 U' M' U R2 U2 r2}}<br />
<br />
|<br />
<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
{{Alg|(y) r U r' R2 U R2 U R2 U2 R2 U2 r U' r' U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
<br />
<br />
|<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M' U'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
{{Alg|(y') R2 U' R' U' R U R U R2 U' M' U R' U' R2 r'}}<br />
{{Alg|(y2) f R U R' U' f2 z U' R' U R B}}<br />
{{Alg|(y') R' F' U' F U R U F R U R' U' F' U'}}<br />
<br />
|<br />
<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
{{Alg|(y2) F R U R' U' F' R' U' R' F R F' U R}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
{{Alg|(y') R2' U' F U R' U' R2 F' R' U R U' R2}}<br />
<br />
|<br />
<br />
===LR-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
{{Alg|(y) F' R E2 R' F U2 F' R E2 R' F U2}}<br />
{{Alg|r' u M2 u' r U2 r' u M2 u' r U2}}<br />
<br />
|<br />
<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== FR-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
{{Alg|(y') L' U2 L U F R U2 R' U' F'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
{{Alg|R U R' U' M' U2 R' U' R2 U' r' U R' U R U2}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
[[Category:Methods]]<br />
[[Category:3x3x3 Methods]]<br />
[[Category:Last Layer Methods]]<br />
[[Category:Algorithms]]<br />
[[Category:Sub Steps]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=List_of_PC_cubing_software&diff=15423List of PC cubing software2011-08-01T14:44:21Z<p>Peterbone: /* Cube Simulators */</p>
<hr />
<div>== Description ==<br />
A very popular category of Rubik's cube software is the playable 3D Rubik's Cube (animated cube), often implemented as a Java applet, which has a long history. The first version of which many current programs are derived was made by Michael Shubart. After that, Karl Hornell made modifications in his version, which again was used by Lars Petrus on his website. Probably the most widely used is RubikPlayer by Werner Randelshofer.<br />
<br />
== Standalone Timers ==<br />
* [http://www.speedsolving.com/forum/showthread.php?25790-Prisma-Puzzle-Timer Prisma Puzzle Timer] Can be connected to Stackmat (Java).<br />
* [http://www.strangepuzzle.com/jnetcube.html JNetCube] - (Java)<br />
* [http://code.google.com/p/rubiks-jtimer/ JTimer] - New version of JNetCube (Java)<br />
* [http://www.vanderblonk.com/tools/talking-timer/ Talking Timer]<br />
* [http://cube.garron.us/cct/ CALCubeTimer 0.93] - Interfaces with a stackmat through the microphone port (Java)<br />
* [http://www.ptimer.net/ PTimer] - Java-based timer designed for use in cubing videos<br />
* [http://www.ugolnik.info/?p=859 Rubik’s cube Stop-watch] - For Windows or Linux. [http://www.speedsolving.com/forum/showthread.php?t=22988 Thread]<br />
* [http://idkcode.co.cc/ Speedcubing Timer] - Speedcubing Timer written in AutoIt. Keeps a list of times for each puzzle. For Windows only, but works in Wine on Linux.<br />
<br />
== Solvers ==<br />
* [http://acesoftware.110mb.com/files/CubeTeacher.zip CubeTeacher] - Graphical Fridrich solver with annotated solutions. Aims to help the user learn the method (Windows, .NET Framework 2.0 required, freeware, currently beta)<br />
* [http://software.rubikscube.info/JACube/ ACube] ([[ACube|Wiki article]]) - Fast solver written by [[Josef Jelinek]], and is able to ignore pieces and specify different metrics upon loading. (Java, freeware, command-line based)<br />
* [http://kociemba.org/cube.htm Cube Explorer] ([[Cube Explorer|Wiki article]]) - Fast solver written by [[Herbert Kociemba]] with his algorithm (Windows, freeware, graphical)<br />
* [http://www.jaapsch.net/puzzles/cubie.htm Cubie] - Solver with animation (Java, freeware)<br />
* [http://www.wrongway.org/?rubik Rubik's Cube Solver by Eric Dietz] - (Windows/Linux, GPL)<br />
* [http://www.svekub.se/files/ksolve.zip ksolve] - A general puzzle solver by [[Kåre Krig]]. Uses a written definition file and scramble file, and is much slower than dedicated solvers. (Windows, freeware, command-line based) [http://www.speedsolving.com/forum/showthread.php?t=8024 Thread]<br />
* [http://www.ganpuzzle.com/vcube333demo.htm Learn to Solve Rubik's Cube with 3 Simple Tricks] - Step-by-step interactive animated solution (Java)<br />
* [http://www.ganpuzzle.com/hints3x3.htm Rubik's Solution Hints Booklet Step Animation] - Step-by-step interactive animated solution based on official booklet (Java)<br />
<br />
== Cube Simulators ==<br />
* [http://www.ultimatemagiccube.com Ultimate Magic Cube] - (Windows). Megaminx, pyraminx and much more<br />
* [http://gabbasoft.com/ Gabbasoft] - (Windows) A collection of NxNxN puzzles 2-20, and with [[supercube]]s<br />
* [http://www.glidingcube.com GlidingCube] - (Windows) A virtual cube puzzle. Intriguing but cannot be built physically.<br />
* [http://mzrg.com/java/IsoCubeSim/index.shtml IsoCubeSim] - (Java) A cube puzzle simulator which supports not only NxNxN puzzles (of any size), but arbitrary cuboids as well.<br />
* [http://www.superliminal.com/cube/cube.htm 4D Cube] - (Java)<br />
* [http://www.gravitation3d.com/magiccube5d/ 5D Cube] - (Windows)<br />
* [http://sourceforge.net/projects/rubiksim/ RubikSim] - (Windows) <br />
* [http://www.network54.com/Forum/178387/message/1191974095/ QBASIC Rubik's Cube] - (DOS/Windows) At 26,375 bytes (25.7 KB), a relatively large Rubik's cube program.<br />
* [http://www.leinweb.com/snackbar/cube/index.htm Hungarian HexaHedron ]- (Windows) It is amazing for FMC. Records your solution as you go.<br />
* [http://pbone.it-mate.co.uk/rubix.htm Rubix] - Windows simulator for cube sizes from 2x2x2 to 50x50x50. Supports custom face images<br />
<br />
== Trainers ==<br />
* [http://members.chello.nl/~a.ooms4/dl.html LL trainer by Alexander] - for windows - [http://members.chello.nl/~a.ooms4/LL-trainer1.9.zip download], [http://www.speedsolving.com/forum/showthread.php?t=157 thread].<br />
* [http://www.cdf.utoronto.ca/~g6karpat/pll_trainer/Pll_Trainer.zip PLL trainer by Badmephisto] - for windows - [http://www.speedsolving.com/forum/showthread.php?t=2193 thread] <br />
* [http://www.megaupload.com/?d=JZ53PRB8 Drill Sergeant GUI] - cross platform - [http://www.speedsolving.com/forum/showthread.php?t=9333 thread]<br />
* [http://www.4shared.com/file/MQrvvrzr/F2L_OLL_PLL_Trainer.html F2L OLL PLL Trainer] - html-based, but not available as a web site - [http://www.speedsolving.com/forum/showthread.php?t=20968 thread]<br />
* [http://t2.technion.ac.il/~syuripe/PLLRT.zip anonymous PLL trainer] - author unknown - [http://www.speedsolving.com/forum/showthread.php?p=360657#post360657 found here]<br />
* [http://web.telia.com/~u89404340/rubik/pll.py PLL trainer] - written in python - [http://www.speedsolving.com/forum/showthread.php?t=14349 thread]<br />
* [http://www.speedsolving.com/forum/attachment.php?attachmentid=877&d=1268787001 2-Sided PLL trainer] - excel spreadsheet with macros - [http://www.speedsolving.com/forum/showthread.php?t=19867 thread]<br />
* [http://amvhell.com/stuff/cubes/LLtimer_22.zip LL Timer by Zarxrax] - for windows - [http://www.speedsolving.com/forum/showthread.php?24850 thread]<br />
* [http://amvhell.com/stuff/cubes/CaseTrainer1.3.zip Case Trainer by Zarxrax] - for windows - [http://www.speedsolving.com/forum/showthread.php?26648 thread]<br />
<br />
== See Also ==<br />
* [[Web-based Software]]<br />
* [[Mobile Software]]<br />
<br />
<br />
[[Category:Cubing Utilities]]<br />
[[Category:Cubing Software]]</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=15049CLL algorithms (3x3x3)2011-06-14T10:22:47Z<p>Peterbone: /* S L */</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choise but the orginal method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
{{Alg|!}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
}}<br />
|}<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br />
{{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
{{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L' (y2)|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 L' (x')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
}}<br />
|}<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' U2 L B' L' B U2 B' L|stage=CLL}}<br />
{{Alg|(x') U L' F2 L U' L' U F2 U' r|stage=CLL}}<br />
{{Alg|(x) D R2 D2 R U2 R' D2 R U2 R D' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
}}<br />
|}<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
}}<br />
|}<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
{{Alg|F R U R' U' R U R' U' R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
}}<br />
|}<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L' U2 L U L' U' L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=15030CLL algorithms (3x3x3)2011-06-11T20:12:35Z<p>Peterbone: /* S L */ alternative</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choise but the orginal method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
{{Alg|!}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
}}<br />
|}<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br />
{{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
{{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L' (y2)|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 L' (x')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
}}<br />
|}<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' U2 L B' L' B U2 B' L|stage=CLL}}<br />
{{Alg|(x) D R2 D2 R U2 R' D2 R U2 R D' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
}}<br />
|}<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
}}<br />
|}<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
{{Alg|F R U R' U' R U R' U' R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
}}<br />
|}<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L' U2 L U L' U' L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=14999CLL algorithms (3x3x3)2011-06-09T14:18:20Z<p>Peterbone: /* S L */ Fixed errors in optimal alg</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choise but the orginal method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
{{Alg|!}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
}}<br />
|}<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br />
{{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
{{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L' (y2)|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 L' (x')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
}}<br />
|}<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' U2 L B' L' B U2 B' L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
}}<br />
|}<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
}}<br />
|}<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
{{Alg|F R U R' U' R U R' U' R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
}}<br />
|}<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L' U2 L U L' U' L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=14990CLL algorithms (3x3x3)2011-06-08T12:34:43Z<p>Peterbone: /* S F */ added cube rotation to match image</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choise but the orginal method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
{{Alg|!}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
}}<br />
|}<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br />
{{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
{{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L' (y2)|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 L' (x')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
}}<br />
|}<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' F2 L B' L' B F2 B' L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
}}<br />
|}<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
}}<br />
|}<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
{{Alg|F R U R' U' R U R' U' R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
}}<br />
|}<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L' U2 L U L' U' L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=14790CLL algorithms (3x3x3)2011-05-27T11:12:34Z<p>Peterbone: /* pi L */</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choise but the orginal method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
{{Alg|!}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
}}<br />
|}<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br />
{{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
{{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L' (y2)|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 L' (x')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
}}<br />
|}<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' F2 L B' L' B F2 B' L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
}}<br />
|}<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
}}<br />
|}<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
{{Alg|F R U R' U' R U R' U' R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
}}<br />
|}<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L' U2 L U L' U' L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=14779CLL algorithms (3x3x3)2011-05-24T14:06:41Z<p>Peterbone: /* pi R */</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choise but the orginal method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
{{Alg|!}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
}}<br />
|}<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br />
{{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
{{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L' (y2)|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 L' (x')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
}}<br />
|}<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' F2 L B' L' B F2 B' L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
}}<br />
|}<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
}}<br />
|}<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
{{Alg|F R U R' U' R U R' U' R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
}}<br />
|}<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=14778CLL algorithms (3x3x3)2011-05-24T13:54:30Z<p>Peterbone: /* pi L */</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choise but the orginal method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
{{Alg|!}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
}}<br />
|}<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br />
{{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
{{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L' (y2)|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 L' (x')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
}}<br />
|}<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' F2 L B' L' B F2 B' L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
}}<br />
|}<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
}}<br />
|}<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
{{Alg|F R U R' U' R U R' U' R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
}}<br />
|}<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
{{Alg|(y') L d R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=14719CLL algorithms (3x3x3)2011-05-19T13:30:59Z<p>Peterbone: /* pi D */ fast alg addition</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choise but the orginal method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
{{Alg|!}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
}}<br />
|}<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br />
{{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
{{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L' (y2)|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 L' (x')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
}}<br />
|}<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' F2 L B' L' B F2 B' L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
}}<br />
|}<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
}}<br />
|}<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
{{Alg|F R U R' U' R U R' U' R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
}}<br />
|}<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|(y') R U R' U R d' R U' R' F'|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=14417CLL algorithms (3x3x3)2011-04-05T14:52:10Z<p>Peterbone: /* T R */ Faster alg maybe</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choise but the orginal method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
{{Alg|!}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
}}<br />
|}<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br />
{{Alg|(y) L' U' L U r U' L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
{{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L' (y2)|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 L' (x')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
}}<br />
|}<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' F2 L B' L' B F2 B' L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
}}<br />
|}<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
}}<br />
|}<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
{{Alg|F R U R' U' R U R' U' R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
}}<br />
|}<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=14416CLL algorithms (3x3x3)2011-04-05T14:49:33Z<p>Peterbone: /* T L */ Faster alg maybe</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choise but the orginal method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
{{Alg|!}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
}}<br />
|}<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
{{Alg|(y') R U R' U' l' U R U' (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L' (y2)|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 L' (x')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
}}<br />
|}<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' F2 L B' L' B F2 B' L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
}}<br />
|}<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
}}<br />
|}<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
{{Alg|F R U R' U' R U R' U' R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
}}<br />
|}<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=14415CLL algorithms (3x3x3)2011-04-05T13:43:01Z<p>Peterbone: /* T R */</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choise but the orginal method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
{{Alg|!}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
}}<br />
|}<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L' (y2)|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 L' (x')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
}}<br />
|}<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' F2 L B' L' B F2 B' L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
}}<br />
|}<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
}}<br />
|}<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
{{Alg|F R U R' U' R U R' U' R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
}}<br />
|}<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=14394CLL algorithms (3x3x3)2011-04-04T13:08:48Z<p>Peterbone: /* T B */ A slightly faster variation and an alternative</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choise but the orginal method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
{{Alg|!}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
}}<br />
|}<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
{{Alg|(y2) R U' R' U2 L R U' R' U L' (y2)|stage=CLL}}<br />
{{Alg|(x) U R U' L U R2 U R U2 L' (x')|stage=CLL}}<br />
}}<br />
|}<br />
<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
}}<br />
|}<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' F2 L B' L' B F2 B' L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
}}<br />
|}<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
}}<br />
|}<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
{{Alg|F R U R' U' R U R' U' R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
}}<br />
|}<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=14355CLL algorithms (3x3x3)2011-04-02T16:14:32Z<p>Peterbone: /* T D */</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choise but the orginal method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
{{Alg|!}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
}}<br />
|}<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|(y2) F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
}}<br />
|}<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
}}<br />
|}<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' F2 L B' L' B F2 B' L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
}}<br />
|}<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
}}<br />
|}<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
{{Alg|F R U R' U' R U R' U' R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
}}<br />
|}<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=CLL_algorithms_(3x3x3)&diff=14354CLL algorithms (3x3x3)2011-04-02T16:13:24Z<p>Peterbone: /* T D */</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL<br />
|image=CLL(3x3).png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[COLL]], [[CMLL]]<br />
|steps=1<br />
|algs=40 + 2<br />
|moves=9.18<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''CLL 3x3x3''', [[algorithm]]s for the first [[last layer]] step of the [[CLL]]-[[ELL]] approach. This step preserves the [[first two layers]] but not the last layer edges. How you solve F2L is a matter of choise but the orginal method ([[CFCE]]) uses [[cross]] and [[F2L]].<br />
<br />
===See also:===<br />
* [[CLL algorithms (2x2x2)]]<br />
* [[CxLL]]<br />
* [[CFCE]]<br />
* [[ELL]]<br />
<br />
{{3CLL}}<br />
<br clear=all><br />
=Algorithms=<br />
{{Algnote}}<br />
See [[CxLL#The lists|CxLL]] for information about the diagrams.<br />
<br />
The first alg given for each case is optimal in [[Half Turn Metric]], please do not add algs on top of them, insert your contributions at the bottom of the list(s).<br />
==U cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== U U ===<br />
{{CxLLCase<br />
|image=CxLL U U.jpg<br />
|name=U U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. This case and the T U case are actually the same because all corners are permuted and two of them are twisted in position. Orient the T-case x' y2 and it will become this case. <br />
|recog=For all U cases look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face there are two opposite colours.<br />
|algs=<br><br />
{{Alg|R2 F' U F U' F' U' F2 R F' R|stage=CLL}}<br />
{{Alg|(y2) R U R' U R U2 R2 U' R U' R' U2 R|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R' L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U D ===<br />
{{CxLLCase<br />
|image=CxLL U D.jpg<br />
|name=U D<br />
|prob=4:162<br />
|optimal=6<br />
|descript=2-cycle, self mirror and self inverse. This is the case you solve using F R U R' U' F' (the shortest OLL). <br />
|recog=For all U cases you look at two "bars" of stickers, one at Fur-Ful and one at Urb-Ulb, at the F-side there are two opposite colours and in the U-face it is one single colour.<br />
|algs=<br><br />
{{Alg|(y') F R U R' U' F'|stage=CLL}}<br />
{{Alg|!}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== U R ===<br />
{{CxLLCase<br />
|image=CxLL U R.jpg<br />
|name=U R<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U L, inverse of L L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U F ===<br />
{{CxLLCase<br />
|image=CxLL U F.jpg<br />
|name=U F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, inverse of T F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R2 F2 R' B2 R F2 R' B2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== U L ===<br />
{{CxLLCase<br />
|image=CxLL U L.jpg<br />
|name=U L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of U R, inverse of L F<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L2 D' L U2 L' D L U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== U B ===<br />
{{CxLLCase<br />
|image=CxLL U B.jpg<br />
|name=U B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) r' (y') R' U2 L' U R U' L U2 (y) r|stage=CLL}}<br />
}}<br />
|}<br />
==T cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== T U ===<br />
{{CxLLCase<br />
|image=CxLL T U.jpg<br />
|name=T U<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of U U,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F R2 U' R' U' R U R' F2|stage=CLL}}<br />
{{Alg|R U2 R' U' R U' R2 U2 R U R' U R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U2 R' L' U' L U' L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T D ===<br />
{{CxLLCase<br />
|image=CxLL T D.jpg<br />
|name=T D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F2 L2 F' U R U' R' F L2 F2|stage=CLL}}<br />
{{Alg|y2 F2 L2 F' R U R' U' F L2 F2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
<br />
=== T R ===<br />
{{CxLLCase<br />
|image=CxLL T R.jpg<br />
|name=T R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T L, inverse of L R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') r' U' R U L U' R' U|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T F ===<br />
{{CxLLCase<br />
|image=CxLL T F.jpg<br />
|name=T F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Self mirroring, Inverse of U F,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') l' U2 R' D2 R U2 R' D2 R2 (x')|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== T L ===<br />
{{CxLLCase<br />
|image=CxLL T L.jpg<br />
|name=T L<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of T R, inverse of L L, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) l U L' U' R' U L U' (x)|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== T B ===<br />
{{CxLLCase<br />
|image=CxLL T B.jpg<br />
|name=T B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U R U2 L' R' U R U' L|stage=CLL}}<br />
}}<br />
|}<br />
==L cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== L U ===<br />
{{CxLLCase<br />
|image=CxLL L U.jpg<br />
|name=L U, Triple [[Sune]]<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|L B' D2 B L' U2 L B' D2 B L'|stage=CLL}}<br />
{{Alg|R' U2 R U R' U F' L F' L' F2 R|stage=CLL}}<br />
{{Alg|(y') R U R' U R U' R' U R U' R' U R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
<br />
=== L D ===<br />
{{CxLLCase<br />
|image=CxLL L D.jpg<br />
|name=L D<br />
|prob=4:162<br />
|optimal=9<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R2 F R F' R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L R ===<br />
{{CxLLCase<br />
|image=CxLL L R.jpg<br />
|name=L R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L B, inverse of T R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(x') U' R U L' U' R' U r|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L F ===<br />
{{CxLLCase<br />
|image=CxLL L F.jpg<br />
|name=L F<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L L, inverse of U L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U2 L' D' L U2 L' D L2|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== L L ===<br />
{{CxLLCase<br />
|image=CxLL L L.jpg<br />
|name=L L<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Mirror of L F, Inverse of U R <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R D R' U2 R D' R2|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== L B ===<br />
{{CxLLCase<br />
|image=CxLL L B.jpg<br />
|name=L B<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of L R, inverse of T L,<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y' x') U L' U' R U L U' l'|stage=CLL}}<br />
}}<br />
|}<br />
==S cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== S U ===<br />
{{CxLLCase<br />
|image=CxLL aS U.jpg<br />
|name=S U, [[Sune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, mirror/inverse of -S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U R' U R U2 R'|stage=CLL}}<br />
{{Alg|L' U2 L U L' U L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S D ===<br />
{{CxLLCase<br />
|image=CxLL aS D.jpg<br />
|name=S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of -S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U R' U L' U R U' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S R ===<br />
{{CxLLCase<br />
|image=CxLL aS R.jpg<br />
|name=S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S F, inverse of -S R. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') L' U2 L U2 L F' L' F|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S F ===<br />
{{CxLLCase<br />
|image=CxLL aS F.jpg<br />
|name=S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of -S R, inverse of -S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|F R' F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== S L ===<br />
{{CxLLCase<br />
|image=CxLL aS L.jpg<br />
|name=S L, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of -S B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|B L' F2 L B' L' B F2 B' L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== S B ===<br />
{{CxLLCase<br />
|image=CxLL aS B.jpg<br />
|name=S B, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of -S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U' L' U R' U' L|stage=CLL}}<br />
}}<br />
|}<br />
==aS cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S U ===<br />
{{CxLLCase<br />
|image=CxLL S U.jpg<br />
|name=-S U, [[Antisune]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Only orientation, Mirror/inverse of S U<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) L' U' L U' L' U2 L|stage=CLL}}<br />
{{Alg|(y) R U2 R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S D ===<br />
{{CxLLCase<br />
|image=CxLL S D.jpg<br />
|name=-S D<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/inverse of S D<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' U' L U' R U' L' U R' U2 L|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S R ===<br />
{{CxLLCase<br />
|image=CxLL S R.jpg<br />
|name=-S R<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S F, inverse of S R, <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' L F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S F ===<br />
{{CxLLCase<br />
|image=CxLL S F.jpg<br />
|name=-S F<br />
|prob=4:162<br />
|optimal=8<br />
|descript=Mirror of S R, inverse of S F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) R U2 R' U2 R' F R F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== -S L ===<br />
{{CxLLCase<br />
|image=CxLL S L.jpg<br />
|name=-S L, [[Niklas]]<br />
|prob=4:162<br />
|optimal=7<br />
|descript=Mirror/inverse of S B.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' U L U' R U L'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== -S B ===<br />
{{CxLLCase<br />
|image=CxLL S B.jpg<br />
|name=-S B, Anti Niklas<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Mirror/inverse of S L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|L' B U2 B' L B L' U2 L B'|stage=CLL}}<br />
}}<br />
|}<br />
==H cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== H U ===<br />
{{CxLLCase<br />
|image=CxLL H U.jpg<br />
|name=H U, Double [[Sune]]<br />
|prob=2:162<br />
|optimal=11<br />
|descript=Only orientation. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|R U2 R' U' R U R' U' R U' R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H D ===<br />
{{CxLLCase<br />
|image=CxLL H D.jpg<br />
|name=H D, Triple FRURUF<br />
|prob=2:162<br />
|optimal=11<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|r' U2 l2 (x) U2 r' U2 r U2 (x') l2 U2 r|stage=CLL}}<br />
{{Alg|F R U R' U' R U R' U' R U R' U' F'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== H R ===<br />
{{CxLLCase<br />
|image=CxLL H R.jpg<br />
|name=H R / H L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of pi B. <br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R U2 R2 F R F' U2 R' F R F'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== H F ===<br />
{{CxLLCase<br />
|image=CxLL H F.jpg<br />
|name=H F / H B<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of pi F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|R' F R F' U2 R2 B' R' B R'|stage=CLL}}<br />
}}<br />
|}<br />
==pi cases==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi U ===<br />
{{CxLLCase<br />
|image=CxLL Pi U imp.jpg<br />
|name=pi U, [[Bruno]]<br />
|prob=4:162<br />
|optimal=9<br />
|descript=Only orientation.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R U2 R2 U' R2 U' R2 U2 R|stage=CLL}}<br />
{{Alg|(x) U R' U2 L U2 R U2 L' U (x')|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi D ===<br />
{{CxLLCase<br />
|image=CxLL pi D.jpg<br />
|name=pi D<br />
|prob=4:162<br />
|optimal=10<br />
|descript=2-cycle, self mirror and self inverse.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') R' U' R U' R' U F' U F R|stage=CLL}}<br />
{{Alg|R U2 L' d L U2 L' d' L U2 R'|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi R ===<br />
{{CxLLCase<br />
|image=CxLL pi R.jpg<br />
|name=pi R<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi L.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F' U' L' U L2 F L' U2 L' U2 L|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi F ===<br />
{{CxLLCase<br />
|image=CxLL pi F.jpg<br />
|name=pi F<br />
|prob=4:162<br />
|optimal=10<br />
|descript=Inverse of H F.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y) R B' R B R2 U2 F R' F' R|stage=CLL}}<br />
}}<br />
|-valign="top"<br />
| width="50%" |<br />
=== pi L ===<br />
{{CxLLCase<br />
|image=CxLL pi L.jpg<br />
|name=pi L<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Mirror/Inverse of pi R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y2) F U R U' R2 F' R U2 R U2 R'|stage=CLL}}<br />
}}<br />
| width="50%" |<br />
=== pi B ===<br />
{{CxLLCase<br />
|image=CxLL pi B.jpg<br />
|name=pi B<br />
|prob=4:162<br />
|optimal=11<br />
|descript=Inverse of H R.<br />
|recog=!<br />
|algs=<br><br />
{{Alg|(y') F R' F' R U2 F R' F' R2 U2 R'|stage=CLL}}<br />
}}<br />
|}<br />
{{3CLL}}<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=Talk:CLL_algorithms_(3x3x3)&diff=14349Talk:CLL algorithms (3x3x3)2011-03-31T08:28:09Z<p>Peterbone: Please add permutation CLL cases</p>
<hr />
<div>Where are the CLL cases with just positioning corners (swapping adjacent or diagonal corners when all corners are already oriented)? PLL algs could be used but there may be more efficient algs than don't preserve edge orientation. I think these should be included here.<br />
Edit: Following from this, I can confirm that the optimal CLL alg for permuting diagonal corners is better than any of the PLL's. I use RU'R'd'L2D'RB'R'DL2. I'd like to add sections for these cases but I'm not sure what name they should be given or how to create and upload the images for the cases. Could someone please add add these cases. Thanks.</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=Template:Z-PLL&diff=14342Template:Z-PLL2011-03-30T10:59:40Z<p>Peterbone: /* Z Permutation */</p>
<hr />
<div>===Z Permutation===<br />
{{case<br />
|image=z.gif<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=12 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U M2 U M' U2 M2 U2 M' U2|PLL}}<br />
{{Alg|(y) M2 U' M2 U' M' U2 M2 U2 M' U2|PLL}}<br />
{{Alg|U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}<br />
{{Alg|M2 U M2 U' E2 M' E2 M'|PLL}}<br />
{{Alg|(y) M2 U' M2 U E2 M' E2 M'|PLL}}<br />
{{Alg|M2 U' M' U2' M2 U2' M' U M2|PLL}}<br />
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}<br />
{{Alg|(y) M' U M2 U M2 U M' U2 M2 U'|PLL}}<br />
{{Alg|(y) M2 U2 M' U M2 U M2 U M' U'|PLL}}<br />
{{Alg|M2 U2 M' U' M2 U' M2 U' M' U|PLL}}<br />
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}<br />
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}<br />
{{Alg|R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}<br />
{{Alg|(y) R U R2 U' R' U' R U R' U' R' U R' U R U2|PLL}}<br />
{{Alg|(x') R U' R' U D R' D U' R' U R D2' F (x)|PLL}}<br />
{{Alg|M2 D S2 D' S' M2 S|PLL}}<br />
{{Alg|M2 u M2 D' M S2 M'|PLL}}<br />
{{Alg|M2 U M E2 M E2 U' M2|PLL}}<br />
{{Alg|(x2) M2 U S2 U' S' M2 S (x2)|PLL}}<br />
{{Alg|(y) F2 M2 F2 M2 U M2 U M2 U2|PLL}}<br />
{{Alg|(y) M2 U (F2 M2 F2 M2) U' M2|PLL}}<br />
{{Alg|(y) R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}<br />
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}<br />
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L|PLL}}<br />
{{Alg|R2 U' R2 U R2 (x') U2 R2 F U2 F' R2 U2 (x)|PLL}}<br />
{{Alg|U' l' U R U' D' R U D' R U' R' D2 (x')|PLL}}<br />
{{Alg|R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}<br />
{{Alg|(y') R U R B' R' B U' R' f R U R' U' f'|PLL}}<br />
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}<br />
{{Alg|(x') R U' R' U D R' D U' R' U R D2' F (x)|PLL}}<br />
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=Talk:CLL_algorithms_(3x3x3)&diff=14340Talk:CLL algorithms (3x3x3)2011-03-28T16:27:04Z<p>Peterbone: CLL's for corner positioning</p>
<hr />
<div>Where are the CLL cases with just positioning corners (swapping adjacent or diagonal corners when all corners are already oriented)? PLL algs could be used but there may be more efficient algs than don't preserve edge orientation. I think these should be included here.</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=14227First Two Layers2011-03-15T10:17:14Z<p>Peterbone: /* F2L 42 */</p>
<hr />
<div>{{Method Infobox<br />
|name=F2L<br />
|image=F2Linfo.png<br />
|proposers=<br />
|year=<br />
|anames=<br />
|variants=[[ZBF2L]], [[VHF2L]], [[WV]], possibly others<br />
|steps=1<br />
|algs=42<br />
|moves=7.8 [[HTM]] a slot<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br />
<br />
The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br />
<br />
[[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br />
<br />
<br clear=all><br />
== Approaches ==<br />
<br />
=== Petrus F2L ===<br />
<br />
Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br />
<br />
=== Fridrich F2L ===<br />
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br />
<br />
The concept of pairing up four corner/edge pairs was first proposed by [[Ren Schoof]] in 1981.<br />
<br />
{{F2L}}<br />
<br />
==Easy Cases==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 1 ===<br />
[[Image:F2L01.png]]<br />
<br />
{{Alg|U (R U' R')|F2L}}<br />
{{Alg|R' F R F'|F2L}}<br />
{{Alg|U2 (R U2 R')|F2L}}<br />
|<br />
<br />
=== F2L 2 ===<br />
[[Image:F2L02.png]]<br />
<br />
{{Alg|y' U' (R' U R)|F2L}}<br />
{{Alg|F R' F' R|F2L}}<br />
{{Alg|d' L' U L|F2L}}<br />
{{Alg|r U R' U' M|F2L}}<br />
{{Alg|(U2) l R U' R' U l'}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
{{Alg|y (L' U' L)|F2L}}<br />
{{alg|F' U' F|F2L}}<br />
{{Alg|U M R U' R' U M'|F2L}}<br />
{{Alg|U r' R2 U' R' U M'|F2L}}<br />
|<br />
<br />
=== F2L 4 ===<br />
[[Image:F2L04.png]]<br />
<br />
{{Alg|(R U R')|F2L}}<br />
{{Alg|(U2) L (R U' R') U L'|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 5 ===<br />
[[Image:F2L05.png]]<br />
<br />
{{Alg|(U' R U R') U2 (R U' R')|F2L}}<br />
{{Alg|(U' R U R') U (R' F R F')|F2L}}<br />
{{Alg|F2 (L' U' L U) F2|F2L}}<br />
<br />
|<br />
<br />
=== F2L 6 ===<br />
[[Image:F2L06.png]]<br />
<br />
{{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br />
{{Alg|U' (r U' R' U) (R U r')|F2L}}<br />
{{Alg|R2 (B U B' U') R2|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br />
{{Alg|M' U' M U2 r U' r'|F2L}}<br />
<br />
<br />
|<br />
<br />
=== F2L 8 ===<br />
[[Image:F2L08.png]]<br />
<br />
{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br />
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge and Flip Corner==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 9 ===<br />
[[Image:F2L09.png]]<br />
<br />
{{Alg|d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br />
{{Alg|U r U R' U' R2 r' U' R'|F2L}}<br />
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
{{Alg|R d' R U R' U2 F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 11 ===<br />
[[Image:F2L11.png]]<br />
<br />
{{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br />
{{Alg|(y) L' d L' U2 L U2 F|F2L}}<br />
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br />
{{Alg|R' U2 R2 U R2 U R|F2L}}<br />
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 13 ===<br />
[[Image:F2L13.png]]<br />
<br />
{{Alg|d (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}<br />
|<br />
<br />
=== F2L 14 ===<br />
[[Image:F2L14.png]]<br />
<br />
{{Alg|U' (R U' R' U)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Split Pair by Going Over==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 15 ===<br />
[[Image:F2L15.png]]<br />
<br />
{{Alg|M U L F' L' U' M'|F2L}}<br />
{{Alg|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br />
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br />
{{Alg|U (R U' R') D (R U' R') D'|F2L}} (FL open)<br />
|<br />
<br />
=== F2L 16 ===<br />
[[Image:F2L16.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R)|F2L}}<br />
{{Alg|(R U' R') U2 (F' U' F)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 17 ===<br />
[[Image:F2L17.png]]<br />
<br />
{{Alg|(R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 18 ===<br />
[[Image:F2L18.png]]<br />
<br />
{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br />
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br />
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br />
|-valign="top"<br />
|}<br />
<br />
==Pair Made on Side==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 19 ===<br />
[[Image:F2L19.png]]<br />
<br />
{{Alg|U R U2 R2 (F R F')|F2L}}<br />
{{Alg|U (R U2 R') U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
{{Alg|R B U2 B' R'|F2L}}<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R') U2 (R U R')|F2L}}<br />
|<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
{{Alg|F' L' U2 L F|F2L}}<br />
{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|y2 U' d' (R' U' R U')(R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Weird==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 23 ===<br />
[[Image:F2L23.png]]<br />
<br />
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br />
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br />
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
{{Alg|U (F R' F' R) U (R U R')|F2L}}<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<br />
{{Alg|U F' L' U L F R U R'|F2L}}<br />
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br />
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br />
{{Alg|F U (R U' R' F')(R U' R')|F2L}}<br />
{{Alg|R U R' U' R U2 R' U2 R U R'|F2L}}<br />
|-valign="top"<br />
|}<br />
<br />
==Corner in Place, Edge in U Face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 25 ===<br />
[[Image:F2L25.png]]<br />
<br />
{{Alg|d' (L' U L) d (R U' R')|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2l}}<br />
{{Alg|y U' (L' U' L) U (F U F')|F2L}}<br />
{{Alg|U' (F' U F) U (R U' R')|F2L}}<br />
{{Alg|U' M' U R U' R r' U R'|F2L}}<br />
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br />
{{Alg|R' F' R U R U' R' F|F2L}}<br />
{{Alg|(U') F' R U R' U' R' F R|F2L}}<br />
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br />
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br />
Back Right slot open - (R2 U' R' U R2) or (U D' R U' R' D)<br />
|<br />
<br />
=== F2L 26 ===<br />
[[Image:F2L26.png]]<br />
<br />
{{Alg|U (R U' R') d' (L' U L)|F2L}}<br />
{{Alg|U (R U' R') U' (F' U F)|F2L}}<br />
{{Alg|U (R U' R') (F R' F' R)|F2L}}<br />
{{Alg|U R U' M' U R' U' M|F2L}}<br />
{{Alg|U R U R r' U' R' U M|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2L}}<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R2)(F R F')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 28 ===<br />
[[Image:F2L28.png]]<br />
<br />
{{Alg|y' (R' U R U')(R' U R)|F2L}}<br />
{{Alg|(R U R') U (F' U2 F)|F2L}}<br />
{{Alg|R U2 l U' R' U l'|F2L}}<br />
{{Alg|(R U R') U l2 F' l' U l'|F2L}}<br />
{{Alg|(F' U F2)(R' F' R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 29 ===<br />
[[Image:F2L29.png]]<br />
<br />
{{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br />
{{Alg|M' U R U' r' U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 30 ===<br />
[[Image:F2L30.png]]<br />
<br />
{{Alg|(R U R' U')(R U R')|F2L}}<br />
{{Alg|U2 (F' U F)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge in Place, Corner in U face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 31 ===<br />
[[Image:F2L31.png]]<br />
<br />
{{Alg|(R U' R') d (R' U R)|F2L}}<br />
{{Alg|(R U' R' U)(F' U F)|F2L}}<br />
{{Alg|U' R' F R F' R U' R'|F2L}}<br />
{{Alg|R U' l U' R' U l'|F2L}}<br />
|<br />
<br />
=== F2L 32 ===<br />
[[Image:F2L32.png]]<br />
<br />
{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br />
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br />
{{Alg|U2 R d' R U R' d R'|F2L}}<br />
{{Alg|U R d' R U2 R' d R'|F2L}}<br />
{{Alg|R2 U R2 U R2 U2 R2|F2L}}<br />
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 33 ===<br />
[[Image:F2L33.png]]<br />
<br />
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br />
|<br />
<br />
=== F2L 34 ===<br />
[[Image:F2L34.png]]<br />
<br />
{{Alg|U' (R U2' R') U (R U R')|F2L}}<br />
{{Alg|U (R U R') U2 (R U R')|F2L}}<br />
{{Alg|d (R' U R) U2 (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 35 ===<br />
[[Image:F2L35.png]]<br />
<br />
{{Alg|(U' R U R') d (R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br />
{{Alg|U M' U R U' r' R U' R'|F2L}}<br />
|<br />
<br />
=== F2L 36 ===<br />
[[Image:F2L36.png]]<br />
<br />
{{Alg|d (R' U' R) d' (R U R')|F2L}}<br />
{{Alg|y U2 (L' U L) U (F U F')|F2L}}<br />
|-valign="top"<br />
|}<br />
<br />
==Edge and Corner in Place==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 37 ===<br />
[[Image:F2L37.png]]<br />
<br />
Solved<br />
|<br />
<br />
=== F2L 38 ===<br />
[[Image:F2L38.png]]<br />
<br />
{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br />
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 39 ===<br />
[[Image:F2L39.png]]<br />
<br />
{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br />
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br />
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br />
|<br />
<br />
=== F2L 40 ===<br />
[[Image:F2L40.png]]<br />
<br />
{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br />
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br />
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 41 ===<br />
[[Image:F2L41.png]]<br />
<br />
{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br />
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br />
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br />
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br />
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br />
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}<br />
|-valign="top"<br />
|}<br />
<br />
== See Also ==<br />
* [[Keyhole First Two Layers]]<br />
* [[Last Layer]]<br />
* [[F2B]]<br />
* [[F2LL]]<br />
* [[ZBF2L]]<br />
* [[First Layer]]<br />
* [[Fridrich Method]]<br />
* [[Petrus Method]]<br />
<br />
== External Resources ==<br />
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br />
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br />
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br />
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br />
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br />
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br />
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br />
* [http://cubefreak.net/speed/cfop/f2ladvanced/index.html Cubefreak Advanced F2L]<br />
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br />
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br />
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto <br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=Talk:ELL&diff=13774Talk:ELL2011-02-16T14:18:13Z<p>Peterbone: </p>
<hr />
<div>I'm making images for this page ATM, there are already some but diffrent layouts and also diffrent from what I'm creating... I make images for all cases so the page gets a uniform look =) // [[User:Kenneth|Kenneth]] 09:52, 28 July 2010 (UTC)<br />
<br />
: Have you seen this? [http://cube.crider.co.uk/visualcube.php?fmt=gif&view=plan&alg=M'UM'U2M'U'MUM'U2MU'M2&arw=U3U5-s7,U5U7-s8,U7U3-s8]<br />
: The style may not be to your liking, but it may save you a lot of work ;-)<br />
: [[User:Cride5|Cride5]] 21:50, 28 July 2010 (UTC)<br />
<br />
::Yes, sure, I know about that but it does not save me any work, I got readymade images where I only have to fill in the stickers and that is faster than setting up the algs for each case. Naming, saving and uploading the images it the part that is most time consuming and that I have to do anyway =) // [[User:Kenneth|Kenneth]] 01:47, 29 July 2010 (UTC)<br />
<br />
:BTW, I will remove the links to the OLL's from the page because OLL does not always preserve corner permutation; (x) L2 U2 R' U' R U2 L' U Rw' (J-PLL like) for example.<br />
<br />
I think the algs for RF-flip U-PLL a and LF-flip U-PLL b are reversed or the pictures need to be reversed. The algs listed under RF-flip U-PLL a are the ones for LF-flip U-PLL b and visa versa.</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=13773ELL2011-02-16T14:13:30Z<p>Peterbone: /* LF-flip U-PLL b */</p>
<hr />
<div>{{Method Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|steps=1<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''Edges of Last Layer''', or normally '''[[ELL]]''', is a [[method]] that solves the last layer [[edge]]s of the [[3x3x3]] in one algorithm as the last step in the solution, normally after performing [[CLL]] to solve the last layer [[corner]]s. There are 29 cases in ELL, of these are three pure flips, four are [[EPLL]] and six cases are 3-cycles (besides the two in EPLL), all useful also for other methods, like [[BLD]].<br />
<br />
ELL is also used for a method of solving the last layer edges on larger cubes. Since there are 8 of each type of [[wing]], though, ELL for larger cubes requires more than one look due to the large number of cases, see [[KBCM Step 6|KBCM]] for a compleate 3-look ELL for the [[4x4x4 cube]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See Also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External Links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive:==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
Example, 4-flip: '''P U2 O U2 P U'''' ... P U2 sets up for O that flips four edges (O' works the same in this case, choose the fastets), U2 P is restoration of the setup and last U is AUF.<br />
<br />
==2-look ELL:==<br />
Use any ELL that orients what you currently got (3 cases) from the listings below and finnish it using [[EPLL]] (4 cases). Most [[OLL]]s that preserves corner orientation will probably also do for the first look but don't count on it, some may change corner permutation while orienting the edges.<br />
<br />
Another way to solve ELL in 2 looks is to use [[L5E]], but that is desigend for solving one more edge than this is so there will be nearly the same number of algs as full ELL (5+16).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
The naming convention here is; wich edges are fliped if they where [[permute]]d and which [[EPLL]] would it be if all was correctly [[orient]]ed.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
<br />
|<br />
Smile =)<br />
|}<br />
<br />
==EPLLs==<br />
Please do not add algs to the EPLL section, the ones here are just examples, all EPLLs are at the [[PLL|PLL-page]], put your contributions there too, else we will end up having two separate lists and we don't want that.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M2 U M U2 M' U M2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
<br />
|-valign="top"<br />
|<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3LF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L U2 L F R B U2 B' R F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y) M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
<br />
|<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
<br />
|-valign="top"<br />
|<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
<br />
|<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
<br />
|-valign="top"<br />
|<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
<br />
<br />
|<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
<br />
|<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
<br />
|-valign="top"<br />
|<br />
=== RL-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
<br />
|<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
<br />
|<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== LB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
[[Category:Methods]]<br />
[[Category:3x3x3 Methods]]<br />
[[Category:Last Layer Methods]]<br />
[[Category:Algorithms]]<br />
[[Category:Sub Steps]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=13772ELL2011-02-16T14:04:28Z<p>Peterbone: /* 4-flip */</p>
<hr />
<div>{{Method Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|steps=1<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''Edges of Last Layer''', or normally '''[[ELL]]''', is a [[method]] that solves the last layer [[edge]]s of the [[3x3x3]] in one algorithm as the last step in the solution, normally after performing [[CLL]] to solve the last layer [[corner]]s. There are 29 cases in ELL, of these are three pure flips, four are [[EPLL]] and six cases are 3-cycles (besides the two in EPLL), all useful also for other methods, like [[BLD]].<br />
<br />
ELL is also used for a method of solving the last layer edges on larger cubes. Since there are 8 of each type of [[wing]], though, ELL for larger cubes requires more than one look due to the large number of cases, see [[KBCM Step 6|KBCM]] for a compleate 3-look ELL for the [[4x4x4 cube]].<br />
<br />
All ELL that are pure 3-cycles are used in the blindfold method [[TuRBo]].<br />
<br />
== See Also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External Links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ellalgs.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive:==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
Example, 4-flip: '''P U2 O U2 P U'''' ... P U2 sets up for O that flips four edges (O' works the same in this case, choose the fastets), U2 P is restoration of the setup and last U is AUF.<br />
<br />
==2-look ELL:==<br />
Use any ELL that orients what you currently got (3 cases) from the listings below and finnish it using [[EPLL]] (4 cases). Most [[OLL]]s that preserves corner orientation will probably also do for the first look but don't count on it, some may change corner permutation while orienting the edges.<br />
<br />
Another way to solve ELL in 2 looks is to use [[L5E]], but that is desigend for solving one more edge than this is so there will be nearly the same number of algs as full ELL (5+16).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
The naming convention here is; wich edges are fliped if they where [[permute]]d and which [[EPLL]] would it be if all was correctly [[orient]]ed.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U}}<br />
<br />
|<br />
Smile =)<br />
|}<br />
<br />
==EPLLs==<br />
Please do not add algs to the EPLL section, the ones here are just examples, all EPLLs are at the [[PLL|PLL-page]], put your contributions there too, else we will end up having two separate lists and we don't want that.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M2 U M U2 M' U M2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
<br />
|-valign="top"<br />
|<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
The cases in this group, including [[U-PLL]] a and b, are used in the edge blindfold method [[TuRBo]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L U2 L F R B U2 B' R F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y) M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
<br />
|<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
<br />
|-valign="top"<br />
|<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
<br />
|<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
<br />
|-valign="top"<br />
|<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
<br />
<br />
|<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
<br />
|<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
<br />
|-valign="top"<br />
|<br />
=== RL-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
<br />
|<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
<br />
|<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== LB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
[[Category:Methods]]<br />
[[Category:3x3x3 Methods]]<br />
[[Category:Last Layer Methods]]<br />
[[Category:Algorithms]]<br />
[[Category:Sub Steps]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=13714First Two Layers2011-02-09T14:20:29Z<p>Peterbone: /* F2L 30 */</p>
<hr />
<div>{{Method Infobox<br />
|name=F2L<br />
|image=F2Linfo.png<br />
|proposers=<br />
|year=<br />
|anames=<br />
|variants=[[ZBF2L]], [[VHF2L]], [[WV]], possibly others<br />
|steps=1<br />
|algs=42<br />
|moves=7.8 [[HTM]] a slot<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br />
<br />
The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br />
<br />
[[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br />
<br />
<br clear=all><br />
== Approaches ==<br />
<br />
=== Petrus F2L ===<br />
<br />
Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br />
<br />
=== Fridrich F2L ===<br />
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br />
<br />
The concept of pairing up four corner/edge pairs was first proposed by [[Ren Schoof]] in 1981.<br />
<br />
{{F2L}}<br />
<br />
==Easy Cases==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 1 ===<br />
[[Image:F2L01.png]]<br />
<br />
{{Alg|U (R U' R')|F2L}}<br />
{{Alg|R' F R F'|F2L}}<br />
{{Alg|U2 (R U2 R')|F2L}}<br />
|<br />
<br />
=== F2L 2 ===<br />
[[Image:F2L02.png]]<br />
<br />
{{Alg|y' U' (R' U R)|F2L}}<br />
{{Alg|F R' F' R|F2L}}<br />
{{Alg|d' L' U L|F2L}}<br />
{{Alg|r U R' U' M|F2L}}<br />
<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
{{Alg|y (L' U' L)|F2L}}<br />
{{alg|F' U' F|F2L}}<br />
{{Alg|U M R U' R' U M'|F2L}}<br />
|<br />
<br />
=== F2L 4 ===<br />
[[Image:F2L04.png]]<br />
<br />
{{Alg|(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 5 ===<br />
[[Image:F2L05.png]]<br />
<br />
{{Alg|(U' R U R') U2 (R U' R')|F2L}}<br />
{{Alg|(U' R U R') U (R' F R F')|F2L}}<br />
{{Alg|F2 (L' U' L U) F2|F2L}}<br />
<br />
|<br />
<br />
=== F2L 6 ===<br />
[[Image:F2L06.png]]<br />
<br />
{{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br />
{{Alg|U' (r U' R' U) (R U r')|F2L}}<br />
{{Alg|R2 (B U B' U') R2|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br />
{{Alg|M' U' M U2 r U' r'|F2L}}<br />
<br />
<br />
|<br />
<br />
=== F2L 8 ===<br />
[[Image:F2L08.png]]<br />
<br />
{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br />
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge and Flip Corner==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 9 ===<br />
[[Image:F2L09.png]]<br />
<br />
{{Alg|d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br />
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
{{Alg|R d' R U R' U2 F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 11 ===<br />
[[Image:F2L11.png]]<br />
<br />
{{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br />
{{Alg|(y) L' d L' U2 L U2 F|F2L}}<br />
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br />
{{Alg|R' U2 R2 U R2 U R|F2L}}<br />
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 13 ===<br />
[[Image:F2L13.png]]<br />
<br />
{{Alg|d (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}<br />
|<br />
<br />
=== F2L 14 ===<br />
[[Image:F2L14.png]]<br />
<br />
{{Alg|U' (R U' R' U)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Split Pair by Going Over==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 15 ===<br />
[[Image:F2L15.png]]<br />
<br />
{{Alg|M U L F' L' U' M'|F2L}}<br />
{{Alg|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br />
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br />
{{Alg|U (R U' R') D (R U' R') D'|F2L}} (FL open)<br />
|<br />
<br />
=== F2L 16 ===<br />
[[Image:F2L16.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R)|F2L}}<br />
{{Alg|(R U' R') U2 (F' U' F)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 17 ===<br />
[[Image:F2L17.png]]<br />
<br />
{{Alg|(R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 18 ===<br />
[[Image:F2L18.png]]<br />
<br />
{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br />
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br />
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br />
|-valign="top"<br />
|}<br />
<br />
==Pair Made on Side==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 19 ===<br />
[[Image:F2L19.png]]<br />
<br />
{{Alg|U R U2 R2 (F R F')|F2L}}<br />
{{Alg|U (R U2 R') U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
{{Alg|R B U2 B' R'|F2L}}<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R') U2 (R U R')|F2L}}<br />
|<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
{{Alg|F' L' U2 L F|F2L}}<br />
{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|y2 U' d' (R' U' R U')(R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Weird==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 23 ===<br />
[[Image:F2L23.png]]<br />
<br />
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br />
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br />
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
{{Alg|U (F R' F' R) U (R U R')|F2L}}<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<br />
{{Alg|U F' L' U L F R U R'|F2L}}<br />
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br />
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br />
{{Alg|F U (R U' R' F')(R U' R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Corner in Place, Edge in U Face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 25 ===<br />
[[Image:F2L25.png]]<br />
<br />
{{Alg|d' (L' U L) d (R U' R')|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2l}}<br />
{{Alg|y U' (L' U' L) U (F U F')|F2L}}<br />
{{Alg|U' (F' U F) U (R U' R')|F2L}}<br />
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br />
{{Alg|R' F' R U R U' R' F|F2L}}<br />
{{Alg|(U') F' R U R' U' R' F R|F2L}}<br />
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br />
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br />
Back Right slot open - (R2 U' R' U R2) or (U D' R U' R' D)<br />
|<br />
<br />
=== F2L 26 ===<br />
[[Image:F2L26.png]]<br />
<br />
{{Alg|U (R U' R') d' (L' U L)|F2L}}<br />
{{Alg|U (R U' R') U' (F' U F)|F2L}}<br />
{{Alg|U (R U' R') (F R' F' R)|F2L}}<br />
{{Alg|U R U' M' U R' U' M|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2L}}<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R2)(F R F')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 28 ===<br />
[[Image:F2L28.png]]<br />
<br />
{{Alg|y' (R' U R U')(R' U R)|F2L}}<br />
{{Alg|(R U R') U (F' U2 F)|F2L}}<br />
{{Alg|(R U R') U l2 F' l' U l'|F2L}}<br />
{{Alg|(F' U F2)(R' F' R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 29 ===<br />
[[Image:F2L29.png]]<br />
<br />
{{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br />
|<br />
<br />
=== F2L 30 ===<br />
[[Image:F2L30.png]]<br />
<br />
{{Alg|(R U R' U')(R U R')|F2L}}<br />
{{Alg|U2 (F' U F)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge in Place, Corner in U face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 31 ===<br />
[[Image:F2L31.png]]<br />
<br />
{{Alg|(R U' R') d (R' U R)|F2L}}<br />
{{Alg|(R U' R' U)(F' U F)|F2L}}<br />
{{Alg|U' R' F R F' R U' R'|F2L}}<br />
{{Alg|R U' l U' R' U l'|F2L}}<br />
|<br />
<br />
=== F2L 32 ===<br />
[[Image:F2L32.png]]<br />
<br />
{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br />
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br />
{{Alg|U2 R d' R U R' d R'|F2L}}<br />
{{Alg|U R d' R U2 R' d R'|F2L}}<br />
{{Alg|R2 U R2 U R2 U2 R2|F2L}}<br />
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 33 ===<br />
[[Image:F2L33.png]]<br />
<br />
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br />
|<br />
<br />
=== F2L 34 ===<br />
[[Image:F2L34.png]]<br />
<br />
{{Alg|U' (R U2' R') U (R U R')|F2L}}<br />
{{Alg|U (R U R') U2 (R U R')|F2L}}<br />
{{Alg|d (R' U R) U2 (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 35 ===<br />
[[Image:F2L35.png]]<br />
<br />
{{Alg|(U' R U R') d (R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br />
|<br />
<br />
=== F2L 36 ===<br />
[[Image:F2L36.png]]<br />
<br />
{{Alg|d (R' U' R) d' (R U R')|F2L}}<br />
{{Alg|y U2 (L' U L) U (F U F')|F2L}}<br />
|-valign="top"<br />
|}<br />
<br />
==Edge and Corner in Place==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 37 ===<br />
[[Image:F2L37.png]]<br />
<br />
Solved<br />
|<br />
<br />
=== F2L 38 ===<br />
[[Image:F2L38.png]]<br />
<br />
{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br />
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 39 ===<br />
[[Image:F2L39.png]]<br />
<br />
{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br />
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br />
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br />
|<br />
<br />
=== F2L 40 ===<br />
[[Image:F2L40.png]]<br />
<br />
{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br />
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br />
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 41 ===<br />
[[Image:F2L41.png]]<br />
<br />
{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br />
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br />
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br />
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br />
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br />
|-valign="top"<br />
|}<br />
<br />
== See Also ==<br />
* [[Keyhole First Two Layers]]<br />
* [[Last Layer]]<br />
* [[F2B]]<br />
* [[F2LL]]<br />
* [[ZBF2L]]<br />
* [[First Layer]]<br />
* [[Fridrich Method]]<br />
* [[Petrus Method]]<br />
<br />
== External Resources ==<br />
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br />
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br />
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br />
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br />
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br />
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br />
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br />
* [http://cubefreak.net/speed/cfop/f2ladvanced/index.html Cubefreak Advanced F2L]<br />
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br />
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br />
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto <br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=13712First Two Layers2011-02-09T13:49:40Z<p>Peterbone: /* F2L 28 */ optimal alg</p>
<hr />
<div>{{Method Infobox<br />
|name=F2L<br />
|image=F2Linfo.png<br />
|proposers=<br />
|year=<br />
|anames=<br />
|variants=[[ZBF2L]], [[VHF2L]], [[WV]], possibly others<br />
|steps=1<br />
|algs=42<br />
|moves=7.8 [[HTM]] a slot<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br />
<br />
The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br />
<br />
[[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br />
<br />
<br clear=all><br />
== Approaches ==<br />
<br />
=== Petrus F2L ===<br />
<br />
Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br />
<br />
=== Fridrich F2L ===<br />
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br />
<br />
The concept of pairing up four corner/edge pairs was first proposed by [[Ren Schoof]] in 1981.<br />
<br />
{{F2L}}<br />
<br />
==Easy Cases==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 1 ===<br />
[[Image:F2L01.png]]<br />
<br />
{{Alg|U (R U' R')|F2L}}<br />
{{Alg|R' F R F'|F2L}}<br />
{{Alg|U2 (R U2 R')|F2L}}<br />
|<br />
<br />
=== F2L 2 ===<br />
[[Image:F2L02.png]]<br />
<br />
{{Alg|y' U' (R' U R)|F2L}}<br />
{{Alg|F R' F' R|F2L}}<br />
{{Alg|d' L' U L|F2L}}<br />
{{Alg|r U R' U' M|F2L}}<br />
<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
{{Alg|y (L' U' L)|F2L}}<br />
{{alg|F' U' F|F2L}}<br />
{{Alg|U M R U' R' U M'|F2L}}<br />
|<br />
<br />
=== F2L 4 ===<br />
[[Image:F2L04.png]]<br />
<br />
{{Alg|(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 5 ===<br />
[[Image:F2L05.png]]<br />
<br />
{{Alg|(U' R U R') U2 (R U' R')|F2L}}<br />
{{Alg|(U' R U R') U (R' F R F')|F2L}}<br />
{{Alg|F2 (L' U' L U) F2|F2L}}<br />
<br />
|<br />
<br />
=== F2L 6 ===<br />
[[Image:F2L06.png]]<br />
<br />
{{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br />
{{Alg|U' (r U' R' U) (R U r')|F2L}}<br />
{{Alg|R2 (B U B' U') R2|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br />
{{Alg|M' U' M U2 r U' r'|F2L}}<br />
<br />
<br />
|<br />
<br />
=== F2L 8 ===<br />
[[Image:F2L08.png]]<br />
<br />
{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br />
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge and Flip Corner==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 9 ===<br />
[[Image:F2L09.png]]<br />
<br />
{{Alg|d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br />
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
{{Alg|R d' R U R' U2 F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 11 ===<br />
[[Image:F2L11.png]]<br />
<br />
{{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br />
{{Alg|(y) L' d L' U2 L U2 F|F2L}}<br />
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br />
{{Alg|R' U2 R2 U R2 U R|F2L}}<br />
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 13 ===<br />
[[Image:F2L13.png]]<br />
<br />
{{Alg|d (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}<br />
|<br />
<br />
=== F2L 14 ===<br />
[[Image:F2L14.png]]<br />
<br />
{{Alg|U' (R U' R' U)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Split Pair by Going Over==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 15 ===<br />
[[Image:F2L15.png]]<br />
<br />
{{Alg|M U L F' L' U' M'|F2L}}<br />
{{Alg|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br />
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br />
{{Alg|U (R U' R') D (R U' R') D'|F2L}} (FL open)<br />
|<br />
<br />
=== F2L 16 ===<br />
[[Image:F2L16.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R)|F2L}}<br />
{{Alg|(R U' R') U2 (F' U' F)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 17 ===<br />
[[Image:F2L17.png]]<br />
<br />
{{Alg|(R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 18 ===<br />
[[Image:F2L18.png]]<br />
<br />
{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br />
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br />
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br />
|-valign="top"<br />
|}<br />
<br />
==Pair Made on Side==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 19 ===<br />
[[Image:F2L19.png]]<br />
<br />
{{Alg|U R U2 R2 (F R F')|F2L}}<br />
{{Alg|U (R U2 R') U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
{{Alg|R B U2 B' R'|F2L}}<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R') U2 (R U R')|F2L}}<br />
|<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
{{Alg|F' L' U2 L F|F2L}}<br />
{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|y2 U' d' (R' U' R U')(R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Weird==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 23 ===<br />
[[Image:F2L23.png]]<br />
<br />
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br />
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br />
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
{{Alg|U (F R' F' R) U (R U R')|F2L}}<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<br />
{{Alg|U F' L' U L F R U R'|F2L}}<br />
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br />
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br />
{{Alg|F U (R U' R' F')(R U' R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Corner in Place, Edge in U Face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 25 ===<br />
[[Image:F2L25.png]]<br />
<br />
{{Alg|d' (L' U L) d (R U' R')|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2l}}<br />
{{Alg|y U' (L' U' L) U (F U F')|F2L}}<br />
{{Alg|U' (F' U F) U (R U' R')|F2L}}<br />
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br />
{{Alg|R' F' R U R U' R' F|F2L}}<br />
{{Alg|(U') F' R U R' U' R' F R|F2L}}<br />
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br />
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br />
Back Right slot open - (R2 U' R' U R2) or (U D' R U' R' D)<br />
|<br />
<br />
=== F2L 26 ===<br />
[[Image:F2L26.png]]<br />
<br />
{{Alg|U (R U' R') d' (L' U L)|F2L}}<br />
{{Alg|U (R U' R') U' (F' U F)|F2L}}<br />
{{Alg|U (R U' R') (F R' F' R)|F2L}}<br />
{{Alg|U R U' M' U R' U' M|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2L}}<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R2)(F R F')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 28 ===<br />
[[Image:F2L28.png]]<br />
<br />
{{Alg|y' (R' U R U')(R' U R)|F2L}}<br />
{{Alg|(R U R') U (F' U2 F)|F2L}}<br />
{{Alg|(R U R') U l2 F' l' U l'|F2L}}<br />
{{Alg|(F' U F2)(R' F' R)|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 29 ===<br />
[[Image:F2L29.png]]<br />
<br />
{{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br />
|<br />
<br />
=== F2L 30 ===<br />
[[Image:F2L30.png]]<br />
<br />
{{Alg|(R U R' U')(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge in Place, Corner in U face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 31 ===<br />
[[Image:F2L31.png]]<br />
<br />
{{Alg|(R U' R') d (R' U R)|F2L}}<br />
{{Alg|(R U' R' U)(F' U F)|F2L}}<br />
{{Alg|U' R' F R F' R U' R'|F2L}}<br />
{{Alg|R U' l U' R' U l'|F2L}}<br />
|<br />
<br />
=== F2L 32 ===<br />
[[Image:F2L32.png]]<br />
<br />
{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br />
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br />
{{Alg|U2 R d' R U R' d R'|F2L}}<br />
{{Alg|U R d' R U2 R' d R'|F2L}}<br />
{{Alg|R2 U R2 U R2 U2 R2|F2L}}<br />
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 33 ===<br />
[[Image:F2L33.png]]<br />
<br />
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br />
|<br />
<br />
=== F2L 34 ===<br />
[[Image:F2L34.png]]<br />
<br />
{{Alg|U' (R U2' R') U (R U R')|F2L}}<br />
{{Alg|U (R U R') U2 (R U R')|F2L}}<br />
{{Alg|d (R' U R) U2 (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 35 ===<br />
[[Image:F2L35.png]]<br />
<br />
{{Alg|(U' R U R') d (R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br />
|<br />
<br />
=== F2L 36 ===<br />
[[Image:F2L36.png]]<br />
<br />
{{Alg|d (R' U' R) d' (R U R')|F2L}}<br />
{{Alg|y U2 (L' U L) U (F U F')|F2L}}<br />
|-valign="top"<br />
|}<br />
<br />
==Edge and Corner in Place==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 37 ===<br />
[[Image:F2L37.png]]<br />
<br />
Solved<br />
|<br />
<br />
=== F2L 38 ===<br />
[[Image:F2L38.png]]<br />
<br />
{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br />
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 39 ===<br />
[[Image:F2L39.png]]<br />
<br />
{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br />
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br />
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br />
|<br />
<br />
=== F2L 40 ===<br />
[[Image:F2L40.png]]<br />
<br />
{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br />
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br />
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 41 ===<br />
[[Image:F2L41.png]]<br />
<br />
{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br />
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br />
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br />
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br />
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br />
|-valign="top"<br />
|}<br />
<br />
== See Also ==<br />
* [[Keyhole First Two Layers]]<br />
* [[Last Layer]]<br />
* [[F2B]]<br />
* [[F2LL]]<br />
* [[ZBF2L]]<br />
* [[First Layer]]<br />
* [[Fridrich Method]]<br />
* [[Petrus Method]]<br />
<br />
== External Resources ==<br />
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br />
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br />
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br />
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br />
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br />
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br />
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br />
* [http://cubefreak.net/speed/cfop/f2ladvanced/index.html Cubefreak Advanced F2L]<br />
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br />
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br />
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto <br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=13711First Two Layers2011-02-09T13:47:41Z<p>Peterbone: /* F2L 27 */ optimal alg</p>
<hr />
<div>{{Method Infobox<br />
|name=F2L<br />
|image=F2Linfo.png<br />
|proposers=<br />
|year=<br />
|anames=<br />
|variants=[[ZBF2L]], [[VHF2L]], [[WV]], possibly others<br />
|steps=1<br />
|algs=42<br />
|moves=7.8 [[HTM]] a slot<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[FMC]]<br />
}}<br />
'''First Two Layers''', or '''F2L''' are normally the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.<br />
<br />
The definition is a little different depending on the subject or who you are talking to. Normally it is as above but it may also refer to the part of the [[Fridrich method]] that solves the [[pair]]s without counting the [[cross]] part.<br />
<br />
[[2-gen]] F2L, most pairs (30:42) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y') and sovle the pair to the back slot using only RU. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.<br />
<br />
<br clear=all><br />
== Approaches ==<br />
<br />
=== Petrus F2L ===<br />
<br />
Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.<br />
<br />
=== Fridrich F2L ===<br />
There are many ways to solve the 'F2L' on a cube. A common system is using the [[Fridrich]] method first two layer approach. After solving the cross, a corner-edge pair is paired up, and then inserted into the correct slot. A total of four corner edge (or 'CE') pairs are made and inserted to solve the first two layers.<br />
<br />
The concept of pairing up four corner/edge pairs was first proposed by [[Ren Schoof]] in 1981.<br />
<br />
{{F2L}}<br />
<br />
==Easy Cases==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 1 ===<br />
[[Image:F2L01.png]]<br />
<br />
{{Alg|U (R U' R')|F2L}}<br />
{{Alg|R' F R F'|F2L}}<br />
{{Alg|U2 (R U2 R')|F2L}}<br />
|<br />
<br />
=== F2L 2 ===<br />
[[Image:F2L02.png]]<br />
<br />
{{Alg|y' U' (R' U R)|F2L}}<br />
{{Alg|F R' F' R|F2L}}<br />
{{Alg|d' L' U L|F2L}}<br />
{{Alg|r U R' U' M|F2L}}<br />
<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
{{Alg|y (L' U' L)|F2L}}<br />
{{alg|F' U' F|F2L}}<br />
{{Alg|U M R U' R' U M'|F2L}}<br />
|<br />
<br />
=== F2L 4 ===<br />
[[Image:F2L04.png]]<br />
<br />
{{Alg|(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 5 ===<br />
[[Image:F2L05.png]]<br />
<br />
{{Alg|(U' R U R') U2 (R U' R')|F2L}}<br />
{{Alg|(U' R U R') U (R' F R F')|F2L}}<br />
{{Alg|F2 (L' U' L U) F2|F2L}}<br />
<br />
|<br />
<br />
=== F2L 6 ===<br />
[[Image:F2L06.png]]<br />
<br />
{{Alg|d (R' U' R) U2' (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}<br />
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}<br />
{{Alg|U' (r U' R' U) (R U r')|F2L}}<br />
{{Alg|R2 (B U B' U') R2|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}<br />
{{Alg|M' U' M U2 r U' r'|F2L}}<br />
<br />
<br />
|<br />
<br />
=== F2L 8 ===<br />
[[Image:F2L08.png]]<br />
<br />
{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}<br />
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}<br />
<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Reposition Edge and Flip Corner==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 9 ===<br />
[[Image:F2L09.png]]<br />
<br />
{{Alg|d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}<br />
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
{{Alg|R d' R U R' U2 F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 11 ===<br />
[[Image:F2L11.png]]<br />
<br />
{{Alg|U' (R U2' R') d (R' U' R)|F2L}}<br />
{{Alg|(y) L' d L' U2 L U2 F|F2L}}<br />
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}<br />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}<br />
{{Alg|R' U2 R2 U R2 U R|F2L}}<br />
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 13 ===<br />
[[Image:F2L13.png]]<br />
<br />
{{Alg|d (R' U R U')(R' U' R)|F2L}}<br />
{{Alg|y' U (R' U R U')(R' U' R)|F2L}}<br />
|<br />
<br />
=== F2L 14 ===<br />
[[Image:F2L14.png]]<br />
<br />
{{Alg|U' (R U' R' U)(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Split Pair by Going Over==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 15 ===<br />
[[Image:F2L15.png]]<br />
<br />
{{Alg|M U L F' L' U' M'|F2L}}<br />
{{Alg|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}<br />
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}<br />
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}<br />
{{Alg|U (R U' R') D (R U' R') D'|F2L}} (FL open)<br />
|<br />
<br />
=== F2L 16 ===<br />
[[Image:F2L16.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R)|F2L}}<br />
{{Alg|(R U' R') U2 (F' U' F)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 17 ===<br />
[[Image:F2L17.png]]<br />
<br />
{{Alg|(R U2 R') U' (R U R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 18 ===<br />
[[Image:F2L18.png]]<br />
<br />
{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}<br />
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}<br />
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}<br />
|-valign="top"<br />
|}<br />
<br />
==Pair Made on Side==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 19 ===<br />
[[Image:F2L19.png]]<br />
<br />
{{Alg|U R U2 R2 (F R F')|F2L}}<br />
{{Alg|U (R U2 R') U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|U' F' U2 F2 (R' F' R)|F2L}}<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
{{Alg|R B U2 B' R'|F2L}}<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R') U2 (R U R')|F2L}}<br />
|<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
{{Alg|F' L' U2 L F|F2L}}<br />
{{Alg|y' U2 (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|y2 U' d' (R' U' R U')(R' U R)|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Weird==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 23 ===<br />
[[Image:F2L23.png]]<br />
<br />
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}<br />
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}<br />
{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
{{Alg|U (F R' F' R) U (R U R')|F2L}}<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<br />
{{Alg|U F' L' U L F R U R'|F2L}}<br />
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}<br />
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}<br />
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}<br />
{{Alg|F U (R U' R' F')(R U' R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Corner in Place, Edge in U Face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 25 ===<br />
[[Image:F2L25.png]]<br />
<br />
{{Alg|d' (L' U L) d (R U' R')|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2l}}<br />
{{Alg|y U' (L' U' L) U (F U F')|F2L}}<br />
{{Alg|U' (F' U F) U (R U' R')|F2L}}<br />
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}<br />
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}<br />
{{Alg|R' F' R U R U' R' F|F2L}}<br />
{{Alg|(U') F' R U R' U' R' F R|F2L}}<br />
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}<br />
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}<br />
Back Right slot open - (R2 U' R' U R2) or (U D' R U' R' D)<br />
|<br />
<br />
=== F2L 26 ===<br />
[[Image:F2L26.png]]<br />
<br />
{{Alg|U (R U' R') d' (L' U L)|F2L}}<br />
{{Alg|U (R U' R') U' (F' U F)|F2L}}<br />
{{Alg|U (R U' R') (F R' F' R)|F2L}}<br />
{{Alg|U R U' M' U R' U' M|F2L}}<br />
{{Alg|y (r U r' U') (r' F r F')|F2L}}<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|F2L}}<br />
{{Alg|(R U' R2)(F R F')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 28 ===<br />
[[Image:F2L28.png]]<br />
<br />
{{Alg|y' (R' U R U')(R' U R)|F2L}}<br />
{{Alg|(R U R') U (F' U2 F)|F2L}}<br />
{{Alg|(R U R') U l2 F' l' U l'|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 29 ===<br />
[[Image:F2L29.png]]<br />
<br />
{{Alg|y' (R' U' R U)(R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}<br />
|<br />
<br />
=== F2L 30 ===<br />
[[Image:F2L30.png]]<br />
<br />
{{Alg|(R U R' U')(R U R')|F2L}}<br />
<br />
|-valign="top"<br />
|}<br />
<br />
==Edge in Place, Corner in U face==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 31 ===<br />
[[Image:F2L31.png]]<br />
<br />
{{Alg|(R U' R') d (R' U R)|F2L}}<br />
{{Alg|(R U' R' U)(F' U F)|F2L}}<br />
{{Alg|U' R' F R F' R U' R'|F2L}}<br />
{{Alg|R U' l U' R' U l'|F2L}}<br />
|<br />
<br />
=== F2L 32 ===<br />
[[Image:F2L32.png]]<br />
<br />
{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}<br />
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}<br />
{{Alg|U2 R d' R U R' d R'|F2L}}<br />
{{Alg|U R d' R U2 R' d R'|F2L}}<br />
{{Alg|R2 U R2 U R2 U2 R2|F2L}}<br />
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 33 ===<br />
[[Image:F2L33.png]]<br />
<br />
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}<br />
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}<br />
|<br />
<br />
=== F2L 34 ===<br />
[[Image:F2L34.png]]<br />
<br />
{{Alg|U' (R U2' R') U (R U R')|F2L}}<br />
{{Alg|U (R U R') U2 (R U R')|F2L}}<br />
{{Alg|d (R' U R) U2 (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 35 ===<br />
[[Image:F2L35.png]]<br />
<br />
{{Alg|(U' R U R') d (R' U' R)|F2L}}<br />
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}<br />
|<br />
<br />
=== F2L 36 ===<br />
[[Image:F2L36.png]]<br />
<br />
{{Alg|d (R' U' R) d' (R U R')|F2L}}<br />
{{Alg|y U2 (L' U L) U (F U F')|F2L}}<br />
|-valign="top"<br />
|}<br />
<br />
==Edge and Corner in Place==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== F2L 37 ===<br />
[[Image:F2L37.png]]<br />
<br />
Solved<br />
|<br />
<br />
=== F2L 38 ===<br />
[[Image:F2L38.png]]<br />
<br />
{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}<br />
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}<br />
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}<br />
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 39 ===<br />
[[Image:F2L39.png]]<br />
<br />
{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}<br />
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}<br />
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}<br />
|<br />
<br />
=== F2L 40 ===<br />
[[Image:F2L40.png]]<br />
<br />
{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}<br />
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}<br />
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 41 ===<br />
[[Image:F2L41.png]]<br />
<br />
{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}<br />
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}<br />
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}<br />
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}<br />
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}<br />
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}<br />
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}<br />
|-valign="top"<br />
|}<br />
<br />
== See Also ==<br />
* [[Keyhole First Two Layers]]<br />
* [[Last Layer]]<br />
* [[F2B]]<br />
* [[F2LL]]<br />
* [[ZBF2L]]<br />
* [[First Layer]]<br />
* [[Fridrich Method]]<br />
* [[Petrus Method]]<br />
<br />
== External Resources ==<br />
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L<br />
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]<br />
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]<br />
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]<br />
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]<br />
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]<br />
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]<br />
* [http://cubefreak.net/speed/cfop/f2ladvanced/index.html Cubefreak Advanced F2L]<br />
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]<br />
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs<br />
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto <br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=CxLL_T_U&diff=13694CxLL T U2011-02-07T17:03:39Z<p>Peterbone: /* CLL */</p>
<hr />
<div>== T U ==<br />
This case and the [[CxLL U U|U U]] case are actually the same because all corners are permuted and two of them are twisted in position. So if you orient the cube in the U-case x' y2 it will become this case. Then you can use the same allgorithm that only orients corners for both cases ([[Sune]] and mirror preserves everything exept the two corners).<br />
<br />
Because of the symetry of this case most algorithms given also has got mirrors that can be used to solve the case.<br />
<br><hr><br />
{| <br />
|| [[image:CxLL T U.jpg|128px|]]<br />
| valign="top"| As for all T cases you look at two "bars" of stickers one at Fur-Ful and one at Urb-Ulb, at the F-side it is one single colour and in the U-face the bar has got the opposite colour.<br />
|}<br />
<br />
===COLL===<br />
* R U2 R' U' R U' R2 U2 R U R' U R ... mirror Antiune + Antisune from B merged<br />
* (y) L' U' L U' L' U2 L R U R' U R U2 R' ... left + right Antisune, preserves edges permutation<br />
* (z') U2 L U L' U Ra U2 R' U' R U' Ra' (z) ... inverse + first turn last so two Ra's are possible.<br />
<br />
===CLL===<br />
* (z' y') R U' R U' L' U R' U R' U L U'<br />
* F R' F R2 U' R' U' R U R' F2<br />
<br />
===CMLL===<br />
* (U2) R' U2 R U' L' U' L U' R' F2 U R<br />
<br />
===CLLEF===<br />
* r U2 R' U' R U' r2 U2 R U R' U r ... mirror Antiune + Antisune from B merged and double layer moves<br />
<br />
===CF / 2x2x2 (Waterman)===<br />
* 2x(R U') R U 2x(R' U) R' U'<br />
<br />
===EG===<br />
'''EG 2''' --> 2x2x2<br />
<br />
'''EG 1'''<br />
* ...<br />
<br />
'''EG 0'''<br />
* (x) R2 U2 L F' U' F U R<br />
<br />
==Navigator==<br />
{{CxLLnav}}</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=13693ELL2011-02-07T16:52:26Z<p>Peterbone: /* Z-PLL */</p>
<hr />
<div>{{Method Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|steps=1<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''Edges of Last Layer''', or normally '''[[ELL]]''', is a [[method]] that solves the last layer [[edge]]s of the [[3x3x3]] in one algorithm as the last step in the solution, normally after performing [[CLL]] to solve the last layer [[corner]]s. There are 29 cases in ELL, of these are three pure flips, four are [[EPLL]] and six cases are 3-cycles (besides the two in EPLL), all useful also for other methods, like [[BLD]].<br />
<br />
ELL is also used for a method of solving the last layer edges on larger cubes. Since there are 8 of each type of [[wing]], though, ELL for larger cubes requires more than one look due to the large number of cases, see [[KBCM Step 6|KBCM]] for a compleate 3-look ELL for the [[4x4x4 cube]].<br />
<br />
== See Also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External Links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ell.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive:==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
Example, 4-flip: '''P U2 O U2 P U'''' ... P U2 sets up for O that flips four edges (O' works the same in this case, choose the fastets), U2 P is restoration of the setup and last U is AUF.<br />
<br />
==2-look ELL:==<br />
Use any ELL that orients what you currently got (3 cases) from the listings below and finnish it using [[EPLL]] (4 cases). Most [[OLL]]s that preserves corner orientation will probably also do for the first look but don't count on it, some may change corner permutation while orienting the edges.<br />
<br />
Another way to solve ELL in 2 looks is to use [[L5E]], but that is desigend for solving one more edge than this is so there will be nearly the same number of algs as full ELL (5+16).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
The naming convention here is; wich edges are fliped if they where [[permute]]d and which [[EPLL]] would it be if all was correctly [[orient]]ed.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
<br />
|<br />
Smile =)<br />
|}<br />
<br />
==EPLLs==<br />
Please do not add algs to the EPLL section, the ones here are just examples, all EPLLs are at the [[PLL|PLL-page]], put your contributions there too, else we will end up having two separate lists and we don't want that.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M2 U M U2 M' U M2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
<br />
|-valign="top"<br />
|<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|(y') M2 u M2 D' M S2 M'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L U2 L F R B U2 B' R F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y) M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
<br />
|<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
<br />
|-valign="top"<br />
|<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
<br />
|<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
<br />
|-valign="top"<br />
|<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
<br />
<br />
|<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
<br />
|<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
<br />
|-valign="top"<br />
|<br />
=== RL-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
<br />
|<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
<br />
|<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== LB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
[[Category:Methods]]<br />
[[Category:3x3x3 Methods]]<br />
[[Category:Last Layer Methods]]<br />
[[Category:Algorithms]]<br />
[[Category:Sub Steps]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=13691ELL2011-02-07T11:12:24Z<p>Peterbone: /* FB-flip H-PLL */</p>
<hr />
<div>{{Method Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|steps=1<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''Edges of Last Layer''', or normally '''[[ELL]]''', is a [[method]] that solves the last layer [[edge]]s of the [[3x3x3]] in one algorithm as the last step in the solution, normally after performing [[CLL]] to solve the last layer [[corner]]s. There are 29 cases in ELL, of these are three pure flips, four are [[EPLL]] and six cases are 3-cycles (besides the two in EPLL), all useful also for other methods, like [[BLD]].<br />
<br />
ELL is also used for a method of solving the last layer edges on larger cubes. Since there are 8 of each type of [[wing]], though, ELL for larger cubes requires more than one look due to the large number of cases, see [[KBCM Step 6|KBCM]] for a compleate 3-look ELL for the [[4x4x4 cube]].<br />
<br />
== See Also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External Links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ell.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive:==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
Example, 4-flip: '''P U2 O U2 P U'''' ... P U2 sets up for O that flips four edges (O' works the same in this case, choose the fastets), U2 P is restoration of the setup and last U is AUF.<br />
<br />
==2-look ELL:==<br />
Use any ELL that orients what you currently got (3 cases) from the listings below and finnish it using [[EPLL]] (4 cases). Most [[OLL]]s that preserves corner orientation will probably also do for the first look but don't count on it, some may change corner permutation while orienting the edges.<br />
<br />
Another way to solve ELL in 2 looks is to use [[L5E]], but that is desigend for solving one more edge than this is so there will be nearly the same number of algs as full ELL (5+16).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
The naming convention here is; wich edges are fliped if they where [[permute]]d and which [[EPLL]] would it be if all was correctly [[orient]]ed.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
<br />
|<br />
Smile =)<br />
|}<br />
<br />
==EPLLs==<br />
Please do not add algs to the EPLL section, the ones here are just examples, all EPLLs are at the [[PLL|PLL-page]], put your contributions there too, else we will end up having two separate lists and we don't want that.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M2 U M U2 M' U M2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
<br />
|-valign="top"<br />
|<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|M2 u M2 D' M S2 M'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L U2 L F R B U2 B' R F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y) M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
<br />
|<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
<br />
|-valign="top"<br />
|<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
<br />
|<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
<br />
|-valign="top"<br />
|<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
<br />
<br />
|<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
<br />
|<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
<br />
|-valign="top"<br />
|<br />
=== RL-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
<br />
|<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
<br />
|<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== LB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=11 [[STM]] 15 [[HTM]]<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
[[Category:Methods]]<br />
[[Category:3x3x3 Methods]]<br />
[[Category:Last Layer Methods]]<br />
[[Category:Algorithms]]<br />
[[Category:Sub Steps]]<br />
<br />
__NOTOC__</div>Peterbonehttps://www.speedsolving.com/wiki/index.php?title=ELL&diff=13690ELL2011-02-07T11:07:00Z<p>Peterbone: /* Z-PLL */ Addition of optimal alg</p>
<hr />
<div>{{Method Infobox<br />
|name=ELL<br />
|image=ELL.png<br />
|proposers=[[Guus Razoux Schultz]]<br />
|year=1981<br />
|anames=<br />
|variants=[[EOLL]], [[EPLL]], [[L5E]]<br />
|steps=1<br />
|algs=29<br />
|moves=~11 [[STM]] (Speed-optimized) Optimal: 11.27 ([[HTM]]), 9.03 ([[STM]])<br />
|purpose=<sup></sup><br />
* [[Speedsolving]], [[BLD]], [[FMC]]<br />
}}<br />
<br />
:''This page is about the ELL that solves edges preserving corners, for the method that does not, see [[LLEF|LL edges first]]''<br />
'''Edges of Last Layer''', or normally '''[[ELL]]''', is a [[method]] that solves the last layer [[edge]]s of the [[3x3x3]] in one algorithm as the last step in the solution, normally after performing [[CLL]] to solve the last layer [[corner]]s. There are 29 cases in ELL, of these are three pure flips, four are [[EPLL]] and six cases are 3-cycles (besides the two in EPLL), all useful also for other methods, like [[BLD]].<br />
<br />
ELL is also used for a method of solving the last layer edges on larger cubes. Since there are 8 of each type of [[wing]], though, ELL for larger cubes requires more than one look due to the large number of cases, see [[KBCM Step 6|KBCM]] for a compleate 3-look ELL for the [[4x4x4 cube]].<br />
<br />
== See Also ==<br />
* [[CFCE]]<br />
* [[CLL]]<br />
* [[L5E]], [[L5EOP]]<br />
* [[LLEF]]<br />
<br />
== External Links ==<br />
* [http://www.erikku.110mb.com/ELL.html Erik Akkersdijk's ELL algs]<br />
* [http://www.speedsolving.com/forum/showthread.php?t=22737 Kirjava's ELL algs]<br />
* [http://sa967st.webs.com/ell.htm Sa967St's ELL algs]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=817 New ELL Algorithms!]<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=3789 Why Not Teach CLL/ELL?]<br />
<br />
<br />
{{ELL}}<br />
<br />
== Intuitive:==<br />
If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:<br />
<br />
* O = M' U M ... Orient<br />
* O' = M' U' M ... Orient inverse<br />
* P = M' U2 M ... Permute<br />
<br />
If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELLs<br />
<br />
Example, 4-flip: '''P U2 O U2 P U'''' ... P U2 sets up for O that flips four edges (O' works the same in this case, choose the fastets), U2 P is restoration of the setup and last U is AUF.<br />
<br />
==2-look ELL:==<br />
Use any ELL that orients what you currently got (3 cases) from the listings below and finnish it using [[EPLL]] (4 cases). Most [[OLL]]s that preserves corner orientation will probably also do for the first look but don't count on it, some may change corner permutation while orienting the edges.<br />
<br />
Another way to solve ELL in 2 looks is to use [[L5E]], but that is desigend for solving one more edge than this is so there will be nearly the same number of algs as full ELL (5+16).<br />
<br />
=ELL Algorithms=<br />
{{Algnote}}<br />
<br />
The naming convention here is; wich edges are fliped if they where [[permute]]d and which [[EPLL]] would it be if all was correctly [[orient]]ed.<br />
==Pure flips==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 2-flip (Adjacent) ===<br />
{{case<br />
|image=ELL 2-flip (a).jpg<br />
|name=Pure adjacent 2-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=13 [[HTM]], 12 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|r U R' U' r' U2 R U R U' R2 U2 R}}<br />
{{Alg|M U M' U2 M U M U M U2 M' U M2}}<br />
{{Alg|(y) M2 U M U2 M' U M' U M' U2 M U M'}}<br />
{{Alg|(x') U2 M2 U R U' M2 U2 M' U' R' U M}}<br />
{{Alg|(y) R U R' U M R U2 R' U' R' U' R U' M' R' U2 R U}}<br />
{{Alg|(y') R2 d' M' U' M U2 F2 U M' U M U2}}<br />
<br />
|<br />
<br />
=== 2-flip (Opposite) ===<br />
{{case<br />
|image=ELL 2-flip (b).jpg<br />
|name=Pure opposite 2-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=14 [[HTM]], 11 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M U2}}<br />
{{Alg|M' d' M d' M' U2 M d M' d M U2}}<br />
{{Alg|U2 M' U2 M d M U' R2 U M' U' R2}}<br />
{{Alg|U2 M' U' M' U' F2 U M U' M F2}}<br />
{{Alg|R F R U R' F' R' F U' (y') R2' U2 R U' R' U' R}}<br />
{{Alg|F M' F M' F2 U2 M F M F' U2}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== 4-flip ===<br />
{{case<br />
|image=ELL 4-flip.jpg<br />
|name=Pure 4-flip<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=14 [[HTM]], 10 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M' U2 M U2 M' U' M U2 M' U2 M U}}<br />
{{Alg|U B2 M' B2 M2 U' F2 M F2 M2}}<br />
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M'}}<br />
{{Alg|U R2 U2' R' F2 U2' R2' F R l F2 D2 R F2 R2' (x)}}<br />
<br />
|<br />
Smile =)<br />
|}<br />
<br />
==EPLLs==<br />
Please do not add algs to the EPLL section, the ones here are just examples, all EPLLs are at the [[PLL|PLL-page]], put your contributions there too, else we will end up having two separate lists and we don't want that.<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== U-PLL a ===<br />
{{case<br />
|image=ELL U-PLL (a).jpg<br />
|name=U-PLL a<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U M' U2 M U F2}}<br />
{{Alg|M2 U' M U2 M' U' M2}}<br />
{{Alg|L' U L' U' L' U' L' U L U L2}}<br />
<br />
|<br />
<br />
=== U-PLL b ===<br />
{{case<br />
|image=ELL U-PLL (b).jpg<br />
|name=U-PLL b<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|F2 U' M' U2 M U' F2}}<br />
{{Alg|M2 U M U2 M' U M2}}<br />
{{Alg|R U' R U R U R U' R' U' R2}}<br />
<br />
|-valign="top"<br />
|<br />
=== Z-PLL ===<br />
{{case<br />
|image=ELL Z-PLL.jpg<br />
|name=Z-PLL<br />
|methods=[[EPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M2 U' M E2 M E2 U M2}}<br />
{{Alg|U2 M2 U' M2 U' M2 (x') U2 M2 U2}}<br />
{{Alg|L F U' R U R' F' L' F U R U' R' F'}}<br />
{{Alg|M2 u M2 D' M S2 M'}}<br />
<br />
|<br />
<br />
=== H-PLL ===<br />
{{case<br />
|image=ELL H-PLL.jpg<br />
|name=H-PLL<br />
|methods=[[EPLL]], [[CPLL]], [[PLL]], [[ELL]], [[ZBLL]], [[ZZLL]]<br />
|optimal=10 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|R L U2 R' L' (y) R' L' U2 R L}}<br />
{{Alg|M2 U' M2 U2 M2 U' M2}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2}}<br />
<br />
|}<br />
<br />
==B edge solved (3-cycles)==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== RF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U M' U2 M U M'}}<br />
{{Alg|(y2) M' U M U2 M' U M}}<br />
{{Alg|(y') R U2 R' F' L' B' U2 B L F}}<br />
{{Alg|(y'x') U2 M2 U R U' M2 U R' U}}<br />
{{Alg|(y) R' F' R2 u2 R2 F' R2 u2 R'}}<br />
<br />
|<br />
<br />
=== LF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=9 [[HTM]], 7 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M'}}<br />
{{Alg|(y2) M' U' M U2 M' U' M}}<br />
{{Alg|(y) L U2 L F R B U2 B' R F'}}<br />
{{Alg|(y x') U2 M2 U' L' U M2 U' L U'}}<br />
<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== RL-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3RL (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') U' R U M' U' R' U M}}<br />
{{Alg|(y') r' U' R U M' U' R' U R}}<br />
<br />
<br />
|<br />
=== RL-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RL (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') U L' U' M' U L U' M}}<br />
{{Alg|(y') r U R' U' M U R U' R'}}<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip U-PLL a ===<br />
{{case<br />
|image=ELL 3LF (a).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y x') M' U L' U' M U L U'}}<br />
{{Alg|(y') R U R' U' M' U R U' r'}}<br />
<br />
|<br />
=== RF-flip U-PLL b ===<br />
{{case<br />
|image=ELL 3RF (b).jpg<br />
|name=Pure 3-cycle<br />
|methods=[[ELL]], [[BLD]]<br />
|optimal=10 [[HTM]], 8 [[STM]]<br />
|text=<br />
}}<br />
{{Alg|(y' x') M' U' R U M U' R' U}}<br />
{{Alg|(y') R' U' R U M U' R' U r}}<br />
<br />
|}<br />
<br />
==B edge in position but flipped==<br />
The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/<br />
----<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== 4-flip U-PLL a ===<br />
{{case<br />
|image=ELL U4 (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M}}<br />
{{Alg|(y) M' U M U' M' U' M U' M' U' M U2 M' U M}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M'}}<br />
{{Alg|F U R U' R' b' R2 (z') R' U' R' F R F' U R U2}}<br />
{{Alg|(y) M U M2 d' R U R S' R' U' R'}}<br />
<br />
|<br />
<br />
=== 4-flip U-PLL b ===<br />
{{case<br />
|image=ELL U4 (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) U L2 U2 (y) M U M' d L2 d M' U2 M}}<br />
{{Alg|(y) M' U' M U M' U M U M' U M U2 M' U' M}}<br />
{{Alg|M' U' M U' M' U2 (M' U')*2 M (U' M')*2}}<br />
{{Alg|U R' U' R' F R F' (y') R' U2 R2 U2' R2' U' R2 U' R' U (y) R U}}<br />
{{Alg|(y') M U' M2 d L' U' L' S L U L}}<br />
<br />
|-valign="top"<br />
| bgcolor="f0f4f8" |<br />
The following four cases are mirror + inverses of the first so you only need '1 alg' for all.<br />
| bgcolor="f0f4f8" |<br />
Mirror to the side and inverse in diagonal.<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== BF-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AF (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M' U2 M' U M U' M' U2 M U M2}}<br />
{{Alg|M U' M' U M' U M' U' M' U' M U M2}}<br />
{{Alg|M' U' F2 M2 U' M U F2 U M2}}<br />
<br />
|<br />
=== BF-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AF (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M' U2 M' U' M U M' U2 M U' M2}}<br />
{{Alg|M U M' U' M' U' M' U M' U M U' M2}}<br />
{{Alg|M' U F2 M2 U M U' F2 U' M2}}<br />
<br />
|-valign="top"<br />
|<br />
=== BL-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2OL (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U M' U2 M U' M' U M U2 M U' M}}<br />
{{Alg|M2 D R2 D S' D' R2 S2 D' S' M2}}<br />
{{Alg|(y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'}}<br />
{{Alg|(y') U' M' U M2 U' M' U F2 U M U' M' F2}}<br />
{{Alg|(y2) M2 U M U' M' U' M' U M' U M' U' M}}<br />
{{Alg|U' F R2 U' R' F U R2 U' R' F' U R U F' U}}<br />
{{Alg|M2 U F2 U M' U' M2 F2 U' M}}<br />
<br />
|<br />
=== BR-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2OR (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M2 U' M' U2 M U M' U' M U2 M U M}}<br />
{{Alg|M2 D' L2 D' S D L2 S2 D S M2}}<br />
{{Alg|(y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R}}<br />
{{Alg|(y) U M' U' M2 U M' U' F2 U' M U M' F2}}<br />
{{Alg|(y2) M2 U' M U M' U M' U' M' U' M' U M}}<br />
{{Alg|R' F2 U F R' U' F2 U F R U' F' U' R}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M}}<br />
<br />
|-valign="top"<br />
|<br />
=== BR-flip U-PLL a ===<br />
{{case<br />
|image=ELL U2AR (a).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M' U2 M U' M2 U' M' U}}<br />
{{Alg|(y2) M' U' M'2 U' M U2 M' U' M'}}<br />
<br />
<br />
|<br />
=== BL-flip U-PLL b ===<br />
{{case<br />
|image=ELL U2AL (b).jpg<br />
|name=3-cycle 1-flip<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y') M' U M' U2 M U M2 U M' U'}}<br />
{{Alg|(y2) M' U M2 U M U2 M' U M'}}<br />
|}<br />
<br />
==No edges in position==<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== LF-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2AFR.jpg<br />
|name=Adjacent flip Z-PLL a<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M U' M' U2 M U' M U' M' U2 M U' M2}}<br />
{{Alg|(y') F R U R' U' F2 L' U' L U F}}<br />
<br />
|<br />
=== LB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ABR.jpg<br />
|name=Adjacent flip Z-PLL b<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y2) M' U M U M' U2 M U' M' U' M}}<br />
<br />
|-valign="top"<br />
|<br />
=== RL-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2ORL.jpg<br />
|name=Opposite flip Z-PLL a<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U M U' M' U M U M' U2 M}}<br />
<br />
|<br />
=== FB-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z2OFB.jpg<br />
|name=Opposite flip Z-PLL b<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|(y) M' U' M U M' U' M U' M' U2 M}}<br />
{{Alg|(y) R2' U R' U' R F R2 U R U' F' U R2}}<br />
<br />
|}<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
<br />
|-valign="top"<br />
|<br />
=== 4-flip Z-PLL ===<br />
{{case<br />
|image=ELL Z4.jpg<br />
|name=4-flip Z-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2}}<br />
{{Alg|(x) U2 M U2 (x') U' M2 U (x') U2 M U2 (x)}}<br />
{{Alg|M U' M' U2 M U' M2 U M U2 M' U M}}<br />
{{Alg|(y) M' U M U2 M' U M'2 U' M' U2 M U' M'}}<br />
{{Alg|(y) R2' U2 l D (x) U2' R2' U2 F2 R2 U2' R2' F R' U2' R2}}<br />
<br />
|<br />
=== 4-flip H-PLL ===<br />
{{case<br />
|image=ELL H4.jpg<br />
|name=4-flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U2 M' U2 M' U' M U2 M U2 M U}}<br />
{{Alg|r U R' U' M2 U R U' R' U' M'}} <br />
{{Alg|M U R U R' U' M2 U R U' r'}}<br />
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M' U}}<br />
{{Alg|R2' U2 l D2 (x) U2' R2 F R2 U2' (x') D2 (x) R' U2 R2 U}}<br />
{{Alg|F2 M' F2 M2 U' M2 F2 M F2 U}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== LB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2A.jpg<br />
|name=Adjacent flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=<br />
|text=<br />
}}<br />
{{Alg|M' U' M U' M' U' M U' M' U' M U}}<br />
{{Alg|(y) M' U M U M' U M U M' U M U'}}<br />
{{Alg|(y) R' U2 R U B L U2 L' U' B'}}<br />
|<br />
<br />
=== FB-flip H-PLL ===<br />
{{case<br />
|image=ELL H2O.jpg<br />
|name=Opposite flip H-PLL<br />
|methods=[[ELL]]<br />
|optimal=11<br />
|text=<br />
}}<br />
{{Alg|M' U M U2 M' U (x') U' R U M U' R' U (x)}}<br />
{{Alg|M' U M2 U2 M' U M' U2 M' U' M U' M}}<br />
{{Alg|R' U2 R U' R' U' R' F R2 U R' U' R' F' R2}}<br />
{{Alg|(yz) U' r2 U2 r' R' U M' U2 M' U' r R U'}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F'}}<br />
<br />
|}<br />
<br />
{{ELL}}<br />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
[[Category:Methods]]<br />
[[Category:3x3x3 Methods]]<br />
[[Category:Last Layer Methods]]<br />
[[Category:Algorithms]]<br />
[[Category:Sub Steps]]<br />
<br />
__NOTOC__</div>Peterbone