https://www.speedsolving.com/wiki/api.php?action=feedcontributions&feedformat=atom&user=AndyK
Speedsolving.com Wiki - User contributions [en]
2026-10-20T18:29:33Z
User contributions
MediaWiki 1.43.8
https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=15795
First Two Layers
2011-09-11T21:22:46Z
<p>AndyK: /* F2L 21 */</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|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 />
<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>
AndyK
https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=12213
First Two Layers
2011-01-13T07:18:58Z
<p>AndyK: /* External Resources */</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 />
<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') 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 />
|<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|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|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 />
|<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|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 />
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 />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|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|U' 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>
AndyK
https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=12212
First Two Layers
2011-01-13T07:13:54Z
<p>AndyK: /* F2L 24 */</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 />
<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') 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 />
|<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|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|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 />
|<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|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 />
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 />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|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|U' 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/Fridrich/F2L_advanced.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>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Template:OLL&diff=11491
Template:OLL
2010-11-27T05:05:13Z
<p>AndyK: </p>
<hr />
<div>{| align="center" cellpadding="4px" cellspacing="0px" border="1px"<br />
| bgcolor="#DDDDDD"|<br />
<big>'''OLL'''</big><br />
<br />
<center>[[Template:OLL|<small>edit</small>]]</center><br />
|<br />
* [[OLL#All edges flipped correctly| All edges flipped correctly <small>(OCLL1-OCLL8)</small> ]]<br />
* [[OLL#No edges flipped correctly| No edges flipped correctly <small>(O1-O8)</small> ]]<br />
* [[OLL#All Corners Oriented| All Corners Oriented <small>(E1-E2)</small> ]]<br />
|<br />
* [[OLL#"P" shapes| "P" shapes <small>(P1-P4)</small> ]]<br />
* [[OLL#"W" shapes| "W" shapes <small>(W1-W2)</small> ]]<br />
* [[OLL#"L" shapes| "L" shapes <small>(L1-L6)</small> ]]<br />
* [[OLL#"C" shapes| "C" shapes <small>(C1-C2)</small> ]]<br />
* [[OLL#"T" shapes| "T" shapes <small>(T1-T2)</small> ]]<br />
* [[OLL#"I" shapes| "I" shapes <small>(I1-I4)</small> ]]<br />
|<br />
* [[OLL#Square shapes| Square shapes <small>(S1-S2)</small> ]]<br />
* [[OLL#Big lightning bolt shapes| Big lightning bolt shapes <small>(B5-B6)</small> ]]<br />
* [[OLL#Small lightning bolt shapes| Small lightning bolt shapes <small>(B1-B4)</small> ]]<br />
* [[OLL#Fish shapes| Fish shapes <small>(F1-F4)</small> ]]<br />
* [[OLL#Knight move shapes| Knight move shapes <small>(K1-K4)</small> ]]<br />
* [[OLL#Awkward shapes| Awkward shapes <small>(A1-A4)</small> ]]<br />
|}</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=K4&diff=11199
K4
2010-09-28T18:07:19Z
<p>AndyK: </p>
<hr />
<div>'''K4''' is a [[direct solving methods|direct solving method]] designed for the [[4x4x4 cube]] and was created by [[Thom Barlow]].<br />
<br />
== External links: ==<br />
* [http://snk.digibase.ca/k4/ K4 tutorial]<br />
* [http://www.kungfoomanchu.com/guides/k4.pdf Single Page PDF Guide] <br />
<br />
<br />
<br />
[[Category:Methods]]<br />
[[Category:Big Cube Methods]]<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
{{Stub}}</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=K4&diff=11198
K4
2010-09-28T18:06:59Z
<p>AndyK: </p>
<hr />
<div>'''K4''' is a [[direct solving methods|direct solving method]] designed for the [[4x4x4 cube]] and was created by [[Thom Barlow]].<br />
<br />
== External links: ==<br />
* [http://snk.digibase.ca/k4/ K4 tutorial] The Original<br />
* [http://www.kungfoomanchu.com/guides/k4.pdf] Single Page PDF Guide<br />
<br />
<br />
<br />
[[Category:Methods]]<br />
[[Category:Big Cube Methods]]<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
{{Stub}}</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Template:AlgVote&diff=10401
Template:AlgVote
2010-08-21T17:16:54Z
<p>AndyK: </p>
<hr />
<div>{| style="font-family: Tahoma; font-size: 110%; line-height: 100%; border: 1px solid #CCC; border-collapse: collapse;"<br />
| style="padding: 0px 5px; background: #F0F0F0; width: 375px; border: 1px solid #CCC;" | [http://alg.garron.us/?stage={{{stage|{{{2|full}}}}}}&animtype=solve&alg={{urlencode:{{{alg|{{{1|}}}}}}}} {{{alg|{{{1|Algorithm}}}}}}]<br />
| style="padding: 0px 0px; background: #E8E8E8; width: 55px; border: 1px solid #CCC;" | [[Image:Cube_Camera_Icon.png|link=]][{{{vidurl|X}}}]<br />
| style="padding: 0px 0px; background: #E8E8E8; width: 100px; border: 1px solid #CCC;" |{{#tag:ratings:scale||category="{{{id}}}"|title="{{{page}}}"|type="{{{style}}}"}}<br />
|}<noinclude><br />
<br />
<br />
<br />
Test:<br />
{{AlgVote2|R U2 R2 U' R U' R' U F R F'|OLL|id=Alg600|page=Main_Page|style=dropdown}} <br />
{{AlgVote2|R U2 R2 U' R U' R' U2 F R F'|OLL|id=Alg4|page=Main_Page|style=dropdown}} <br />
<nowiki>{{AlgVote2|R U2 R2 U' R U' R' U2 F R F'|OLL|id=Alg4|page=Main_Page|style=dropdown}} </nowiki><br />
<br />
<br />
Alternate ways to code the voting mechanism<br />
<br />
Example 1 (template style):<br />
{{#tag:ratings:scale||category="Articles"|title="{{PAGENAME}}"}}<br />
Example 2 - Dropdown<br />
<ratings:scale category="Test1" title="Vote" type="dropdown" /><br />
Example 3 - Normal<br />
<ratings:scale category="Test2" title="Vote" type="normal" /><br />
Example 4 - Small<br />
<ratings:scale category="Test3" title="Vote" type="rectangle" /><br />
</noinclude></div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Template:AlgVote&diff=10400
Template:AlgVote
2010-08-21T17:14:18Z
<p>AndyK: Created page with '{| style="font-family: Tahoma; font-size: 110%; line-height: 100%; border: 1px solid #CCC; border-collapse: collapse;" | style="padding: 0px 5px; background: #F0F0F0; width: 375p…'</p>
<hr />
<div>{| style="font-family: Tahoma; font-size: 110%; line-height: 100%; border: 1px solid #CCC; border-collapse: collapse;"<br />
| style="padding: 0px 5px; background: #F0F0F0; width: 375px; border: 1px solid #CCC;" | [http://alg.garron.us/?stage={{{stage|{{{2|full}}}}}}&animtype=solve&alg={{urlencode:{{{alg|{{{1|}}}}}}}} {{{alg|{{{1|Algorithm}}}}}}]<br />
| style="padding: 0px 0px; background: #E8E8E8; width: 55px; border: 1px solid #CCC;" | [[Image:Cube_Camera_Icon.png|link=]][{{{vidurl|X}}}]<br />
| style="padding: 0px 0px; background: #E8E8E8; width: 100px; border: 1px solid #CCC;" |{{#tag:ratings:scale||category="{{{id}}}"|title="{{{page}}}"|type="{{{style}}}"}}<br />
|}<noinclude><br />
<br />
<br />
<br />
Test:<br />
{{AlgVote2|R U2 R2 U' R U' R' U F R F'|OLL|id=Alg600|page=Main_Page|style=dropdown}} <br />
{{AlgVote2|R U2 R2 U' R U' R' U2 F R F'|OLL|id=Alg4|page=Main_Page|style=dropdown}} <br />
<nowiki>{{AlgVote2|R U2 R2 U' R U' R' U2 F R F'|OLL|id=Alg4|page=Main_Page|style=dropdown}} </nowiki><br />
</noinclude></div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Template:CubeVote&diff=10399
Template:CubeVote
2010-08-21T17:12:05Z
<p>AndyK: Created page with '{| border="1" style="border-collapse:collapse; width: 22em; font-size: 90%; margin: 0 0 10px 10px;" | {| border="0" cellpadding="3" bgcolor="#F0F0F0" cellspacing="2" style="color…'</p>
<hr />
<div>{| border="1" style="border-collapse:collapse; width: 22em; font-size: 90%; margin: 0 0 10px 10px;"<br />
|<br />
{| border="0" cellpadding="3" bgcolor="#F0F0F0" cellspacing="2" style="color:black; text-align:center; width: 100%"<br />
|-<br />
| bgcolor="#E6D0EE" colspan="2" style="font-size: 125%;" | '''Ratings for {{{pzl}}}'''<br />
|- <br />
| colspan="2" style="font-size:90%;"| [[Image:{{{pic|none}}}]]<br />
|-<br />
| bgcolor="#F0F0F0" align="right" | '''Smoothness/Speed:'''<br />
| align="left" | {{#tag:ratings:scale||category="{{{pzl-no-space}}}-ss"|title="{{{page}}}"|type="{{{style}}}"}}<br />
|-<br />
| bgcolor="#F0F0F0" align="right" | '''Lockup Resistance:'''<br />
| align="left" | {{#tag:ratings:scale||category="{{{pzl-no-space}}}-lr"|title="{{{page}}}"|type="{{{style}}}"}}<br />
|-<br />
| bgcolor="#F0F0F0" align="right" | '''Cutting Corners:'''<br />
| align="left" | {{#tag:ratings:scale||category="{{{pzl-no-space}}}-cc"|title="{{{page}}}"|type="{{{style}}}"}}<br />
|-<br />
| bgcolor="#F0F0F0" align="right" | '''Pop Resistance:'''<br />
| align="left" | {{#tag:ratings:scale||category="{{{pzl-no-space}}}-pr"|title="{{{page}}}"|type="{{{style}}}"}}<br />
|-<br />
| bgcolor="#F0F0F0" align="right" | '''Quietness:'''<br />
| align="left" | {{#tag:ratings:scale||category="{{{pzl-no-space}}}-qu"|title="{{{page}}}"|type="{{{style}}}"}}<br />
|-<br />
| bgcolor="#F0F0F0" align="right" | '''Reliability:'''<br />
| align="left" | {{#tag:ratings:scale||category="{{{pzl-no-space}}}-rl"|title="{{{page}}}"|type="{{{style}}}"}}<br />
|-<br />
| bgcolor="#F0F0F0" align="right" | '''Weight:'''<br />
| align="left" | {{{wt|unknown}}}<br />
|-<br />
| bgcolor="#F0F0F0" align="right" | '''Overall:'''<br />
| align="left" | {{#tag:ratings:scale||category="{{{pzl-no-space}}}-ov"|title="{{{page}}}"|type="{{{style}}}"}}<br />
|-<br />
|}<br />
|}<br />
<br />
<noinclude><br />
{{Testrating<br />
|pzl=Old Type-A<br />
|pzl-no-space=Old_Type-A<br />
|page=ratings<br />
|style=rectangle<br />
|wt=1 ton<br />
}}<br />
<br />
<br />
<br />
Test of Old_Type-A-ss<br />
<ratings:scale category="Old_Type-A-ss" title="ratings" type="dropdown" /><br />
Test of Old_Type-A-lr<br />
<ratings:scale category="Old_Type-A-lr" title="ratings" type="dropdown" /><br />
</noinclude></div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=List_of_web-based_cubing_software&diff=8398
List of web-based cubing software
2010-06-09T16:57:50Z
<p>AndyK: /* Cube Simulators */</p>
<hr />
<div>== Description ==<br />
This page contains external links for web-based software, such as timers, applets, or other useful cubing programs.<br />
<br />
== Animation Applets ==<br />
* [http://software.rubikscube.info/AnimCube/ AnimCube] (Java) - Relatively lightweight and feature-rich 3x3x3 applet.<br />
* [http://randelshofer.ch/ Randelshofer's Applets] (Java) - Applets for 2x2x2-7x7x7 with many options and variations.<br />
<br />
== Web-Based Timers ==<br />
* [http://www.cubemania.org/ Cubemania] - An online timer and competition community<br />
* [http://www.cubetimer.com/ cubetimer.com] - Online Rubik's Cube timer<br />
* [http://www.rubetimer.com RubeTimer] - Advanced timer with statistical graphics and user registration '''and multiplayer'''<br />
* [http://rubiktime.com RubikTime] - Online Rubik's Cube timer<br />
* [http://www.freewebs.com/cubevill/ cubevill] - A timer for rubik's cube with scrambles<br />
* [http://mzrg.com/qqtimer/ qqTimer] - qqwref's web-based timer. Generates scrambles for a wide range of puzzles<br />
* [http://www.ctimer.co.uk cTimer] - a JavaScript timer supporting multi-stage timing and random-state scrambles for 3x3.<br />
* [http://vanderblonk.com/cube/cubetimer.htm CubeTimer] - Timer with animation<br />
<br />
== Image Generators ==<br />
* [http://www.cubezone.be/imagecube.html ImageCube] - (PHP), source provided<br />
* [http://www.solvethecube.110mb.com/index.php?location=tools#nxnimagecube NxNImagecube] - (PHP), source provided<br />
* [http://cube.crider.co.uk/visualcube.php VisualCube] - (PHP), supports algorithms, transparency and cube dimensions up to 9x9.<br />
* [http://www.vanderblonk.com/tools/wordpress-rubik-plugin Wordpress Rubik Plugin] - Embed cube diagrams as Java applets or images<br />
<br />
== Scramblers and Tools ==<br />
* [http://www.worldcubeassociation.org/regulations/scrambles.zip Official WCA scramblers] - All in one zip file<br />
* [http://www.jaapsch.net/ Jaap's scrambler] - Scrambler, Javascript<br />
* [http://laire.dy.fi/jarcs/ Just Another Rubik's Cube Solver] - Web-based 3x3 solver for common speedcubing sub-steps such as EOLine.<br />
* [http://alg.garron.us/ alg.garron.us] - Algorithm animator for cubes up to 7x7 by Lucas Garron.<br />
* [http://cube.crider.co.uk/scrambler.html Random State Scrambler] - Java applet which creates 3x3 scrambles by inverting solutions to randomly generated cubes.<br />
* [http://cube.crider.co.uk/algtrans.html Algorithm Translator] - Tool for inverting, mirroring and rotating algs.<br />
* [http://strangepuzzle.com/mirrors.html Algorithm Mirror/Inverse Tool]<br />
* [http://solvethecube.110mb.com/tools.html Joel's Cubing Tools] - Includes an order calculator, scrambler and image generator.<br />
* [http://koii.cubingusa.com/lib/scrambles/scramblers/nml.html NxMxL scrambler] - Scrambler for odd puzzles<br />
<br />
== Cube Simulators ==<br />
* [[Gelatinbrain]] - One of the biggest collections of virtual puzzles, [http://users.skynet.be/gelatinbrain/Applets/Magic%20Polyhedra/index.htm link]<br />
* [http://www.ryanheise.com/cube/speed.html Ryanheise-simulator] - Cubesimulator using the keyboard, with averages<br />
* [http://hi-games.net/ Ryanheise-multiplayer] - Multiplayer cubesimulator using keyboard, cubes: 2x2x2-10x10x10<br />
* [http://www.randelshofer.ch/rubik/virtualcubes/virtual_rubik_en.html 3D Cube Simulator] - Supports dimensions up to 7x7 as well as other shapes. Mouse controlled.<br />
* [http://www.ocf.berkeley.edu/~jfly/projects/qqTimer/qqTimer.htm jflySim + qqTimer] - 2x2x2-NxNxN cubes, Megaminx, Pyraminx and Square-1 simulators integrated with qqTimer<br />
<br />
== Competition Software ==<br />
* [http://koii.cubingusa.com/cm/results.zip KOII Live Results System] - Grabs and neatly displays data from WCA Workbooks<br />
* [http://koii.cubingusa.com/cm/workbook/ WCA Workbook Integrity Checker] - Performs various checks on WCA Workbook<br />
* [http://koii.cubingusa.com/main/competitions/tools More KOII Competition Software] - More tools and services such as competition website hosting<br />
<br />
== Trainers ==<br />
* [http://brunson.com/drillsergeant Last Layer Drills by Brunson]<br />
* [http://fn.dy.fi/old/misc/ll/index.pl LL trainer] - for ZBLL and PLL<br />
* [http://wtf2l.com wtf2l.com] - OLL Trainer<br />
* [http://cube.crider.co.uk/coracle.html Coracle] - Corner Lookahead Trainer<br />
<br />
<br />
[[Category:Cubing Utilities]]<br />
[[Category:Cubing Software]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=List_of_web-based_cubing_software&diff=8397
List of web-based cubing software
2010-06-09T16:56:49Z
<p>AndyK: /* Cube Simulators */</p>
<hr />
<div>== Description ==<br />
This page contains external links for web-based software, such as timers, applets, or other useful cubing programs.<br />
<br />
== Animation Applets ==<br />
* [http://software.rubikscube.info/AnimCube/ AnimCube] (Java) - Relatively lightweight and feature-rich 3x3x3 applet.<br />
* [http://randelshofer.ch/ Randelshofer's Applets] (Java) - Applets for 2x2x2-7x7x7 with many options and variations.<br />
<br />
== Web-Based Timers ==<br />
* [http://www.cubemania.org/ Cubemania] - An online timer and competition community<br />
* [http://www.cubetimer.com/ cubetimer.com] - Online Rubik's Cube timer<br />
* [http://www.rubetimer.com RubeTimer] - Advanced timer with statistical graphics and user registration '''and multiplayer'''<br />
* [http://rubiktime.com RubikTime] - Online Rubik's Cube timer<br />
* [http://www.freewebs.com/cubevill/ cubevill] - A timer for rubik's cube with scrambles<br />
* [http://mzrg.com/qqtimer/ qqTimer] - qqwref's web-based timer. Generates scrambles for a wide range of puzzles<br />
* [http://www.ctimer.co.uk cTimer] - a JavaScript timer supporting multi-stage timing and random-state scrambles for 3x3.<br />
* [http://vanderblonk.com/cube/cubetimer.htm CubeTimer] - Timer with animation<br />
<br />
== Image Generators ==<br />
* [http://www.cubezone.be/imagecube.html ImageCube] - (PHP), source provided<br />
* [http://www.solvethecube.110mb.com/index.php?location=tools#nxnimagecube NxNImagecube] - (PHP), source provided<br />
* [http://cube.crider.co.uk/visualcube.php VisualCube] - (PHP), supports algorithms, transparency and cube dimensions up to 9x9.<br />
* [http://www.vanderblonk.com/tools/wordpress-rubik-plugin Wordpress Rubik Plugin] - Embed cube diagrams as Java applets or images<br />
<br />
== Scramblers and Tools ==<br />
* [http://www.worldcubeassociation.org/regulations/scrambles.zip Official WCA scramblers] - All in one zip file<br />
* [http://www.jaapsch.net/ Jaap's scrambler] - Scrambler, Javascript<br />
* [http://laire.dy.fi/jarcs/ Just Another Rubik's Cube Solver] - Web-based 3x3 solver for common speedcubing sub-steps such as EOLine.<br />
* [http://alg.garron.us/ alg.garron.us] - Algorithm animator for cubes up to 7x7 by Lucas Garron.<br />
* [http://cube.crider.co.uk/scrambler.html Random State Scrambler] - Java applet which creates 3x3 scrambles by inverting solutions to randomly generated cubes.<br />
* [http://cube.crider.co.uk/algtrans.html Algorithm Translator] - Tool for inverting, mirroring and rotating algs.<br />
* [http://strangepuzzle.com/mirrors.html Algorithm Mirror/Inverse Tool]<br />
* [http://solvethecube.110mb.com/tools.html Joel's Cubing Tools] - Includes an order calculator, scrambler and image generator.<br />
* [http://koii.cubingusa.com/lib/scrambles/scramblers/nml.html NxMxL scrambler] - Scrambler for odd puzzles<br />
<br />
== Cube Simulators ==<br />
* [[Gelatinbrain]] - One of the biggest collections of virtual puzzles, [http://users.skynet.be/gelatinbrain/Applets/Magic%20Polyhedra/index.htm link]<br />
* [http://www.ryanheise.com/cube/speed.html Ryanheise-simulator] - Cubesimulator using the keyboard, with averages<br />
* [http://hi-games.net/ Ryanheise-multiplayer] - Multiplayer cubesimulator using keyboard, cubes: 2x2x2-10x10x10<br />
* [http://www.randelshofer.ch/rubik/virtualcubes/virtual_rubik_en.html 3D Cube Simulator] - Supports dimensions up to 7x7 as well as other shapes. <br />
* [http://www.ocf.berkeley.edu/~jfly/projects/qqTimer/qqTimer.htm jflySim + qqTimer] - 2x2x2-NxNxN cubes, Megaminx, Pyraminx and Square-1 simulators integrated with qqTimer<br />
Mouse controlled.<br />
<br />
== Competition Software ==<br />
* [http://koii.cubingusa.com/cm/results.zip KOII Live Results System] - Grabs and neatly displays data from WCA Workbooks<br />
* [http://koii.cubingusa.com/cm/workbook/ WCA Workbook Integrity Checker] - Performs various checks on WCA Workbook<br />
* [http://koii.cubingusa.com/main/competitions/tools More KOII Competition Software] - More tools and services such as competition website hosting<br />
<br />
== Trainers ==<br />
* [http://brunson.com/drillsergeant Last Layer Drills by Brunson]<br />
* [http://fn.dy.fi/old/misc/ll/index.pl LL trainer] - for ZBLL and PLL<br />
* [http://wtf2l.com wtf2l.com] - OLL Trainer<br />
* [http://cube.crider.co.uk/coracle.html Coracle] - Corner Lookahead Trainer<br />
<br />
<br />
[[Category:Cubing Utilities]]<br />
[[Category:Cubing Software]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=CLL&diff=8396
CLL
2010-06-09T16:49:32Z
<p>AndyK: /* External Links */</p>
<hr />
<div>{{Method Infobox<br />
|name=CLL (2x2x2)<br />
|image=Cll.gif<br />
|proposers<br />
|year=1980s<br />
|anames<br />
|variants=[[LBL]]<br />
|steps=2<br />
|algs=42 (27 min)<br />
|moves<br />
|purpose=<sup></sup><br />
* [[Speedsolving]]<br />
}}<br />
'''CLL, Corners of Last Layer''', a method that solves the [[last layer]] [[corner]]s in one [[algorithm]].<br />
<br />
CLL is not to be confused with [[COLL]] that is an abbrevation for exactly the same name but COLL does also preserve LL edge orientation, sometimes you will need longer algorithms for that.<br />
<br />
There are two different sets of CLL, one that is used for [[corners first]] (the [[Waterman method]]) and the [[2x2x2 cube]] and one that preserves the [[first two layers]] on the [[3x3x3 cube]]. In the latter case the LL edges are solved after the CLL using [[ELL]].<br />
<br />
== As a 2x2x2 Speedsolving Method ==<br />
<br />
The first stage of CLL for the 2x2x2 consists of completely solving one layer of the cube (both orientation and permutation) as in the [[Layer by layer|Layer-By-Layer method]]. Then, using one of 42 algorithms (2 of which are PLLs), you solve the remaining orientation and permutation of the last layer (thus giving a 1 Look Last Layer). The algorithms needed are given in the [[CxLL|CxLL pages]]. This method is also named the Waterman method after the 1980's master cuber [[Marc Waterman]] from the Netherlands who was using it for his [[corners first]] method back then ([http://rubikscube.info/waterman/index.php the Waterman documentation]).<br />
<br />
The world's fastest 2x2 solver, [[Rowe Hessler]], uses this method and it is one of the most popular methods among other world class 2x2 solvers. CLL is essentially just a subset of [[EG]]. However, not many people have pursued full EG due the large number of algorithms.<br />
<br />
==History==<br />
CLL was first officially used by [[Guus Razoux Schultz ]] ([http://www.worldcubeassociation.org/results/p.php?i=1982RAZO01 WCA]) during the [[WC 1982]].<br />
<br />
<br />
==See Also==<br />
* [[CMLL]]<br />
* [[COLL]]<br />
* [[CxLL]]<br />
* [[CxLL Algorithms]]<br />
* [[OLL (2x2x2)]]<br />
* [[PBL]]<br />
* [[Waterman Method]]<br />
* [[EG]]<br />
<br />
== External Links ==<br />
* [http://www.speedcubing101.com/cll.html Anthony Brooks' CLL algs]<br />
* [http://dtwoner.110mb.com/index.php?p=1_31_CLL David Woner's CLL algs]<br />
* [http://sites.google.com/site/kubbuth/2x2x2/cll 2x2x2 CLL in Swedish] [http://sites.google.com/site/kubbuth/2x2x2/cll/algos Algos]<br />
* [http://www.erikku.110mb.com/CLL.html Erik Akkersdijk's CLL Algs]<br />
* [http://www.kungfoomanchu.com/#2x2x2cll CLL algs in Printable PDF form from Kungfoomanchu.com]<br />
* YouTube: [http://www.youtube.com/watch?v=X4WVutkJqic Erik Akkersdijk's CLL Tutorial]<br />
* YouTube: [http://www.youtube.com/user/rowehess Rowe Hessler's Channel] - contains CLL algs<br />
* YouTube: [http://www.youtube.com/user/RowanKinneavy Rowan Kinneavy's Channel] - more CLL algs<br />
<br />
<br />
[[Category:Methods]]<br />
[[Category:2x2x2 Methods]]<br />
[[Category:2x2x2 Speedsolving Methods]]<br />
[[Category:3x3x3 Methods]]<br />
[[Category:Last Layer Methods]]<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
[[Category:Sub Steps]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=8341
First Two Layers
2010-06-01T18:11:15Z
<p>AndyK: /* F2L 18 */ added an alg</p>
<hr />
<div>__NOTOC__<br />
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]<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 />
<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 />
Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions<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 />
<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 />
|<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 />
<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 />
<br />
<br />
|-valign="top"<br />
|<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') 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 />
<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') d' (L' U' L)|F2L}}<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
<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 />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<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 />
|<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 R') U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
<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 />
<br />
{{Alg|y' U2 (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|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<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 />
|-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|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 />
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 />
<br />
|-valign="top"<br />
|<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|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 />
<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 />
|<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 />
|<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 />
|-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 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 />
|-valign="top"<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 />
|<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 />
|-valign="top"<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|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R') d2 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 />
|-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://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 />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=8340
First Two Layers
2010-06-01T18:00:04Z
<p>AndyK: Formatting</p>
<hr />
<div>__NOTOC__<br />
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]<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 />
<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 />
Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions<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 />
<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 />
|<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 />
<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 />
<br />
<br />
|-valign="top"<br />
|<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') 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 />
<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') d' (L' U' L)|F2L}}<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
<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 />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<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 />
|<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 />
|-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 R') U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
<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 />
<br />
{{Alg|y' U2 (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|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<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 />
|-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|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 />
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 />
<br />
|-valign="top"<br />
|<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|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 />
<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 />
|<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 />
|<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 />
|-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 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 />
|-valign="top"<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 />
|<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 />
|-valign="top"<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|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R') d2 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 />
|-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://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 />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=8339
First Two Layers
2010-06-01T17:56:18Z
<p>AndyK: Undo revision 8338 by AndyK (Talk)</p>
<hr />
<div>__NOTOC__<br />
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]<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 />
<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 />
Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions<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 />
<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 />
|<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 />
<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 />
<br />
<br />
|-valign="top"<br />
|<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') 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 />
<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') d' (L' U' L)|F2L}}<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
<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 />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<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 />
|<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 />
|-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 R') U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
<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 />
<br />
{{Alg|y' U2 (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|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<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 />
|-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|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 />
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 />
<br />
|-valign="top"<br />
|<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|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 />
<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 />
|<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 />
|<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 />
|-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 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 />
|-valign="top"<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 />
|<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 />
|-valign="top"<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|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R') d2 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 />
<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://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 />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=8338
First Two Layers
2010-06-01T17:55:46Z
<p>AndyK: /* Edge and Corner in Place */</p>
<hr />
<div>__NOTOC__<br />
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]<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 />
<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 />
Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions<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 />
<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 />
|<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 />
<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 />
<br />
<br />
|-valign="top"<br />
|<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') 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 />
<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') d' (L' U' L)|F2L}}<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
<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 />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<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 />
|<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 />
|-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 R') U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
<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 />
<br />
{{Alg|y' U2 (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|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<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 />
|-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|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 />
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 />
<br />
|-valign="top"<br />
|<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|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 />
<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 />
|<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 />
|<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 />
|-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 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 />
|-valign="top"<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 />
|<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 />
|-valign="top"<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|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R') d2 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 />
|<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://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 />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=8337
First Two Layers
2010-06-01T17:55:12Z
<p>AndyK: /* Pair Made on Side */</p>
<hr />
<div>__NOTOC__<br />
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]<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 />
<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 />
Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions<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 />
<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 />
|<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 />
<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 />
<br />
<br />
|-valign="top"<br />
|<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') 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 />
<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') d' (L' U' L)|F2L}}<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
<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 />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<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 />
|<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 />
|-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 R') U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
<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 />
<br />
{{Alg|y' U2 (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|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<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 />
|-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|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 />
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 />
<br />
|-valign="top"<br />
|<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|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 />
<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 />
|<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 />
|<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 />
|-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 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 />
|-valign="top"<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 />
|<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 />
|-valign="top"<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|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R') d2 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 />
<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://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 />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=8329
First Two Layers
2010-06-01T01:37:04Z
<p>AndyK: /* F2L 12 */</p>
<hr />
<div>__NOTOC__<br />
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]<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 />
<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 />
Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions<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 />
<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 />
|<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 />
<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 />
<br />
<br />
|-valign="top"<br />
|<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') 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 />
<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') d' (L' U' L)|F2L}}<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
<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 />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<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|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 />
|<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 />
<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 R') U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
<br />
{{Alg|y' U2 (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|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<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 />
|-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|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 />
Back Right slot open - (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 />
<br />
|-valign="top"<br />
|<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|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 />
<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 />
|<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 />
|<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 />
|-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 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 />
|-valign="top"<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 />
|<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 />
|-valign="top"<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|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R') d2 y (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|(R U R' U')(R U' R') U2 (F' U' 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://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 />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=8326
First Two Layers
2010-06-01T00:05:13Z
<p>AndyK: /* F2L 15 */</p>
<hr />
<div>__NOTOC__<br />
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]<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 />
<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 />
Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions<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 />
<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 />
<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
<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 />
<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 />
<br />
<br />
|-valign="top"<br />
|<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') 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 />
<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') d' (L' U' L)|F2L}}<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
<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 />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
<br />
|-valign="top"<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|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 />
|<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 />
<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 R') U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
<br />
{{Alg|y' U2 (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|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<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 />
|-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|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 />
Back Right slot open - (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 />
<br />
|-valign="top"<br />
|<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|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 />
<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 />
|<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 />
|<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 />
|-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 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 />
|-valign="top"<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 />
|<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 />
|-valign="top"<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|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R') d2 y (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|(R U R' U')(R U' R') U2 (F' U' 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://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 />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=8325
First Two Layers
2010-06-01T00:04:51Z
<p>AndyK: /* Reposition Edge and Flip Corner */</p>
<hr />
<div>__NOTOC__<br />
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]<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 />
<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 />
Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions<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 />
<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 />
<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
<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 />
<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 />
<br />
<br />
|-valign="top"<br />
|<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') 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 />
<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') d' (L' U' L)|F2L}}<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
<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 />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
<br />
|-valign="top"<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|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y (R U R')|F2L}}<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 />
<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 R') U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
<br />
{{Alg|y' U2 (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|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<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 />
|-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|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 />
Back Right slot open - (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 />
<br />
|-valign="top"<br />
|<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|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 />
<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 />
|<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 />
|<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 />
|-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 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 />
|-valign="top"<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 />
|<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 />
|-valign="top"<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|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R') d2 y (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|(R U R' U')(R U' R') U2 (F' U' 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://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 />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=8324
First Two Layers
2010-06-01T00:01:09Z
<p>AndyK: /* F2L 13 */</p>
<hr />
<div>__NOTOC__<br />
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]<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 />
<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 />
Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions<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 />
<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 />
<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
<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 />
<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 />
<br />
<br />
|-valign="top"<br />
|<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') 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 />
<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') d' (L' U' L)|F2L}}<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
<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 />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
<br />
|-valign="top"<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|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 />
|<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|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y (R U R')|F2L}}<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 />
<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 R') U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
<br />
{{Alg|y' U2 (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|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<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 />
|-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|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 />
Back Right slot open - (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 />
<br />
|-valign="top"<br />
|<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|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 />
<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 />
|<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 />
|<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 />
|-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 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 />
|-valign="top"<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 />
|<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 />
|-valign="top"<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|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R') d2 y (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|(R U R' U')(R U' R') U2 (F' U' 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://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 />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=OLL&diff=8323
OLL
2010-05-30T13:03:16Z
<p>AndyK: </p>
<hr />
<div>__NOTOC__<br />
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods, such as the [[Fridrich Method]], usally followed by [[PLL]].<br />
<br />
Parentheses in an algorithm signify the triggers of the algorithm. For example, [(R U R') (L' U L)] shows two triggers in the algorithm, even though it is the same as [R U R' L' U L].<br />
<br />
The areas shaded in gray represent the oriented pieces on the top layer. You can tell if a piece is oriented by looking at the top color of the piece in relation to the top center of the cube. If the piece is oriented, the two colors will be the same.<br />
<br />
The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top is.<br />
<br />
<strong>Click on an algorithm (not the camera icon) to watch an animation of it.</strong><br />
<br />
{{OLL}}<br />
<br />
==All edges flipped correctly==<br />
This subgroup, '''OCLL''' (also '''OLL-C''') is used in methods which have oriented the [[LL]] edges earlier in the solve, such as [[ZZ]]. Solving the '''OCLL''' is also the second part of the [[2-look OLL]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== OLL 27 ===<br />
[[Image:o27.gif]]<br />
<br />
{{Alg|R U R' U R U2 R'|OLL}}<br />
{{Alg|R U R' U R U R' R U R'|OLL}}<br />
{{Alg|y' R' U2 R U R' U R|OLL}}<br />
{{Alg|y L' U2 L U L' U L|OLL}}<br />
{{Alg|y2 L U L' U L U2 L'|OLL}}<br />
{{Alg|R U' L' U R' U' L|OLL}}<br />
{{Alg|U2 r2 U R' U' L' U R U' r'|OLL}}<br />
<br />
|<br />
=== OLL 26 ===<br />
[[Image:o26.gif]]<br />
<br />
{{Alg|y2 R' U' R U' R' U2 R|OLL}}<br />
{{Alg|y' R U2 R' U' R U' R'|OLL}}<br />
{{Alg|y' L U2 L' U' L U' L'|OLL}}<br />
{{Alg|L' U' L U' L' U2 L|OLL}}<br />
{{Alg|L' U R U' L U R'|OLL}}<br />
{{Alg|y' L' U R U' L U R'|OLL}}<br />
{{Alg|y' R U R' R U R' U' R U R' R U R' R U R' |OLL}}<br />
|-valign="top"<br />
|<br />
=== OLL 21 ===<br />
[[Image:o21.gif]]<br />
<br />
{{Alg|R U R' U R U' R' U R U2 R'|OLL}}<br />
{{Alg|y R U2 R' U' R U R' U' R U' R'|OLL}}<br />
{{Alg|y F (R U R' U') (R U R' U') (R U R' U') F'|OLL}}<br />
{{Alg|y F' (L' U' L U) (L' U' L U) (L' U' L U) F|OLL}}<br />
{{Alg|R' U' R U' R' U R U' R' U2 R|OLL}}<br />
{{Alg|L U L' U L U' L' U L U2 L'|OLL}}<br />
{{Alg|y L' U2 L U L' U' L U L' U L|OLL}}<br />
<br />
|<br />
<br />
=== OLL 22 ===<br />
[[Image:o22.gif]]<br />
<br />
{{Alg|R U2 R2' U' R2 U' R2' U2 R|OLL}}<br />
{{Alg|f (R U R' U') f' F (R U R' U') F'|OLL}}<br />
{{Alg|y2 f' (L' U' L U) f F' (L' U' L U) F|OLL}}<br />
{{Alg|y2 L' U2 L2 U L2 U L2 U2 L'|OLL}}<br />
{{Alg|R U2 R2 U' R' U R U' R U' R' y M' U2 M|OLL}}<br />
{{Alg|R' U L U' R U' L' U' L U' L'|OLL}}<br />
{{Alg|y2 L U' R' U L' U R U R' U R|OLL}}<br />
{{Alg|y2 L' U R U' L U' R' U' R U' R'|OLL}}<br />
{{Alg|R U' L' U R' U L U L' U L|OLL}}<br />
{{Alg|R U R' U R U2 R' y' R U R' U R U2 R'|OLL}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 23 ===<br />
[[Image:o23.gif]]<br />
<br />
{{Alg|R2 D' R U2 R' D R U2 R|OLL}}<br />
{{Alg|L2 D L' U2 L D' L' U2 L'|OLL}}<br />
{{Alg|R' U2 R F U' R' U' R U F'|OLL}}<br />
{{Alg|l2 U' R D2 R' U R D2 R|OLL}}<br />
{{Alg|l2' U' z' U R2 U' L U R2 z' L|OLL}}<br />
{{Alg|y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'|OLL}}<br />
{{Alg|y2 R' F2 R U2 R U2 R' F2 R U2 R'|OLL}}<br />
{{Alg|y2 R2 D R' U2 R D' R' U2 R'|OLL}}<br />
{{Alg|(R' U' R U) R' U2 R2 U (R' U R U2 R)|OLL}}<br />
{{Alg|R2' B2 R F2' R' B2 R F2' R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 24 ===<br />
[[Image:o24.gif]]<br />
<br />
{{Alg|r U R' U' L' U R U' x'|OLL}}<br />
{{Alg|r U R' U' r' F R F'|OLL}}<br />
{{Alg|y' F R U R' U' R U' R U' R U R' F'|OLL}}<br />
{{Alg|y' R U R2' U' R2 U' R2' U2' R U' R U' R'|OLL}}<br />
{{Alg|y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')|OLL}}<br />
{{Alg|y x D' R' U R D R' U' R x'|OLL}}<br />
{{Alg|y x D L U' L' D' L U L' x' |OLL}}<br />
{{Alg|y x' U' R' D R U R' D' R x|OLL}}<br />
{{Alg|y2 R' F' r U R U' r' F|OLL}}<br />
{{Alg|y2 l' U' L U R U' r' F|OLL}}<br />
{{Alg|y' l U l' F R B' R' F'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 25 ===<br />
[[Image:o25.gif]]<br />
<br />
{{Alg|y2 R' F R B' R' F' R B|OLL}}<br />
{{Alg|y' F' r U R' U' r' F R|OLL}}<br />
{{Alg|y' x U R' U' L U R U' r'|OLL}}<br />
{{Alg|y R' F' L' F R F' L F|OLL}}<br />
{{Alg|y R' U' (R U R' F') (R U R' U') (R' F R2)|OLL}}<br />
{{Alg|y2 R U2' R D R' U2 R D' R2'|OLL}}<br />
{{Alg|y2 F R' F' r U R U' r'|OLL}}<br />
{{Alg|y2 l' U R D' R' U' R D x'|OLL}}<br />
{{Alg|y2 x' L' U' R' U L U' R U|OLL}}<br />
{{Alg|x' D R U R' D' R U' l'|OLL}}<br />
{{Alg|x' U L' U' R U L U' l'|OLL}}<br />
{{Alg|x' R' D R U' R' D' R U x|OLL}}<br />
{{Alg|x R' U R D' R' U' R D x'|OLL}}<br />
{{Alg|y2 x L U' L' D L U L' D' x'|OLL}}<br />
{{Alg|l' U' L' U R U' L U x'|OLL}}<br />
{{Alg|U r U R U' L' U R' U' x'|OLL}}<br />
{{Alg|R U2 R' U' R U R' U' R U R' U' R U' R'|OLL}}<br />
{{Alg|R U R' U R U' R' U R U' R' U R U2 R'|OLL}}<br />
{{Alg|y2 L' R U R' U' L U R U' R'|OLL}}<br />
{{Alg|F R B R' F' l U' l'|OLL}}<br />
<br />
<br />
<br />
|}<br />
<br />
==No edges flipped correctly==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 1 === <br />
[[Image:o1.gif]]<br />
<br />
{{Alg|(R U2) (R2' F R F' U2') (R' F R F')|OLL|vidurl=http://www.youtube.com/watch?v=n_2qaxpViEY}}<br />
{{Alg|R U B' R B R2 U' R' F R F'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 2 === <br />
[[Image:o2.gif]]<br />
<br />
{{Alg|F (R U R' U') F' f (R U R' U') f'|OLL|vidurl=http://www.youtube.com/watch?v=YJZ4Vm5_FZI&feature=related}}<br />
{{Alg|y2 F' (L' U' L U) F f' (L' U' L U) f|OLL}}<br />
{{Alg|y r U r' U2 r U2 R' U2 R U' r'|OLL}}<br />
{{Alg|y l' U' l U2 l' U2 L U2 L' U l|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 3 ===<br />
[[Image:o3.gif]]<br />
<br />
{{Alg|y f (R U R' U') f' U' F (R U R' U') F'|OLL}}<br />
{{Alg|y2 r' R2 U R' U r U2 r' U R' r|OLL|vidurl=http://www.youtube.com/watch?v=VIHqsOoGLVc&feature=related}}<br />
{{Alg|y2 M U l' U2 l U L' U L M'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 4 ===<br />
[[Image:o4.gif]]<br />
<br />
{{Alg|f (R U R' U') f' U F (R U R' U') F'|OLL}}<br />
{{Alg|R' U2 x R' U R U' y R' U' R' U R' F|OLL}}<br />
{{Alg|y r' R U' r U2 r' U' R U' R2' r|OLL}}<br />
{{Alg|y M U' r U2' r' U' R U' R' M'|OLL}}<br />
{{Alg|l L2 U' L U' l' U2 l U' M'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 20 ===<br />
[[Image:o20.gif]]<br />
<br />
{{Alg|r' R U R U R' U' r2 R2' U R U' r'|OLL}}<br />
{{Alg|M U R U R' U' M2 U R U' r'|OLL}}<br />
{{Alg|r U R' U' M2 (U R U' R') U' M'|OLL}}<br />
{{Alg|M' U2 M' U2 M' U M U2 M U2 M|OLL}}<br />
{{Alg|M' U2 M U2 M' U M U2 M' U2 M|OLL}}<br />
{{Alg|M U2 M' U2 M U M' U2 M U2 M' U' |OLL}}<br />
{{Alg|M U2 M U2 M U M' U2 M' U2 M' U'|OLL}}<br />
{{Alg|M' U M' U M' U M' U M U M U M U M U|OLL}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M' |OLL}}<br />
{{Alg|M' U' M U' M' U2 M' U' M' U' M U' M' U' M' |OLL}}<br />
{{Alg|M' U' M U2 M' U' M2 U M' U2 M U M'|OLL}}<br />
{{Alg|M d r2 U M' U2 M U r2 S'|OLL}}<br />
{{Alg|M U M F R' F' M2 F R F' U'|OLL}}<br />
{{Alg|R2 U2 R' F2 U2 R2 F' R2 U2 F2 R U2 R2 U' |OLL}}<br />
{{Alg|R B U B' R' F2 B D' L' D B'F2 |OLL}}<br />
{{Alg|L' R' F' U2 L2 U2 L2 U2 L2 F L R |OLL}}<br />
{{Alg|F U2 F' U L' U' B' R' U2 R U' B U L |OLL}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U |OLL}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2 |OLL}}<br />
{{Alg|F' B' R E S R S' R2 E' F B |OLL}}<br />
{{Alg|B' R' B F2 U' R' U' R' F R2 U F2 R |OLL}}<br />
{{Alg|B L B' F2 U L U L F' L2 U' F2 L' |OLL}}<br />
{{Alg|S U S2 U' L U L S L' U' L' |OLL}}<br />
{{Alg|S' U' S2 U R' U' R' S' R U R|OLL}}<br />
{{Alg|(M U) 4 (M' U) 4|OLL}}<br />
<br />
|<br />
<br />
=== OLL 17 ===<br />
[[Image:o17.gif]]<br />
<br />
{{Alg|R U R' U (R' F R F') U2 (R' F R F')|OLL}}<br />
{{Alg|f (R U R' U') y' r' (R U R' U') R' F R F'|OLL}}<br />
{{Alg|F R' F' l R L' U R U' R' U' M'|OLL}}<br />
<br />
=== OLL 18 ===<br />
[[Image:o18.gif]]<br />
<br />
{{Alg|y' r U R' U R U2 r2' U' R U' R' U2 r|OLL}}<br />
{{Alg|y2 F R U R' d R' U2 R' F R F'|OLL}}<br />
{{Alg|R U2 R2 F R F' U2 M' U R U' r'|OLL}}<br />
{{Alg|l' U' r' U2 L U2 L' U2 r U l|OLL}}<br />
{{Alg|y (F R' F' R) U2 (F R' F' R)(U' R U' R') |OLL}}<br />
{{Alg|y x (U R' U' R) B2 (U R' U' R)(B' R B' R') x' |OLL}}<br />
<br />
=== OLL 19 ===<br />
[[Image:o19.gif]]<br />
<br />
{{Alg|r' U2 R U R' U r2 U2' R' U' R U' r'|OLL}}<br />
{{Alg|R' U2 F R U R' U' y' R2 U2 R B|OLL}}<br />
{{Alg|r' R U R U R' U' r R2' F R F'|OLL}}<br />
{{Alg|M U R U R' U' r R2' F R F'|OLL}}<br />
{{Alg|M U R U R' U' M' l' U R U'|OLL}}<br />
<br />
|}<br />
<br />
=="P" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 31 ===<br />
[[Image:o31.gif]]<br />
<br />
{{Alg|L' d' R d L U' L' B' L|OLL}}<br />
{{Alg|S' L' U' L U L F' L' f|OLL}}<br />
{{Alg|y x U R' U' l U R U R' U' R U' R'|OLL}}<br />
{{Alg|y2 R' U' F U R U' R' F' R|OLL}}<br />
{{Alg|L' U' B U L U' L' B' L|OLL}}<br />
<br />
|<br />
<br />
=== OLL 32 ===<br />
[[Image:o32.gif]]<br />
<br />
{{Alg|R d L' d' R' U R B R'|OLL}}<br />
{{Alg|S R U R' U' R' F R f'|OLL}}<br />
{{Alg|y x' U' R U l' U' R' U' R U R' U R|OLL}}<br />
{{Alg|R U B' U' R' U R B R'|OLL}}<br />
{{Alg|y2 F U R U' F' r U R' U' r'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 43 ===<br />
[[Image:o43.gif]]<br />
<br />
{{Alg|f' L' U' L U f|OLL}}<br />
{{Alg|B' U' R' U R B|OLL}}<br />
{{Alg|y2 F' U' L' U L F|OLL}}<br />
{{Alg|U R U R' F' L' U' L F|OLL}}<br />
{{Alg|y2 R' U' F R' F' R U R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 44 ===<br />
[[Image:o44.gif]]<br />
<br />
{{Alg|f R U R' U' f'|OLL}}<br />
{{Alg|y2 F U R U' R' F'|OLL}}<br />
{{Alg|y R U y' L U' L' B'|OLL}}<br />
{{Alg|y F U R' F R F' U' F'|OLL}}<br />
<br />
|}<br />
<br />
=="W" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 36 ===<br />
[[Image:o36.gif]]<br />
<br />
{{Alg|R' U' R U' R' U R U R B' R' B|OLL}}<br />
{{Alg|y2 (L' U' L U') (L' U L U) (L F' L' F)|OLL}}<br />
{{Alg|(R U R' U') y (L' U2' L U) y' (R U R')|OLL}}<br />
<br />
|<br />
<br />
=== OLL 38 ===<br />
[[Image:o38.gif]]<br />
<br />
{{Alg|L U L' U L U' L' U' L' B L B'|OLL}}<br />
{{Alg|y2 R U R' U R U' R' U' R' F R F'|OLL}}<br />
{{Alg|(L' U' L U) y' (R U2 R' U') y (L' U' L)|OLL}}<br />
<br />
|}<br />
<br />
=="L" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== OLL 48 ===<br />
[[Image:o48.gif]]<br />
<br />
{{Alg|F R U R' U' R U R' U' F'|OLL}}<br />
{{Alg|y2 f U R U' R' U R U' R' f'|OLL}}<br />
{{Alg|y r U2 R' U' R U' r' R' U' R U' R' U2 R|OLL}}<br />
{{Alg|y' r' U' R U' R' U2 r R U2 R' U' R U' R'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 47 ===<br />
[[Image:o47.gif]]<br />
<br />
{{Alg|F' L' U' L U L' U' L U F|OLL}}<br />
{{Alg|y' r U R' U R U2 r' R' U2 R U R' U R|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 53 ===<br />
[[Image:o53.gif]]<br />
<br />
{{Alg|l' U' L U' L' U L U' L' U2 l|OLL}}<br />
{{Alg|y' l U2 L U L' U' L U L' U' l'|OLL}}<br />
{{Alg|y2 r' U' R U' R' U R U' R' U2 r|OLL}}<br />
{{Alg|y' r' U2 R U R' U' R U R' U r|OLL}}<br />
{{Alg|y' r U2 R' U' R U' r' R U2 R' U' R U' R'|OLL}}<br />
{{Alg|r U R' U R U2 r' R U R' U R U2 R'|OLL}}<br />
{{Alg|F R U R' U' F' R U R' U' R' F R F'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 54 ===<br />
[[Image:o54.gif]]<br />
<br />
{{Alg|r U R' U R U' R' U R U2 r'|OLL}}<br />
{{Alg|y' r U2 R' U' R U R' U' R U' r'|OLL}}<br />
{{Alg|y2 l U L' U L U' L' U L U2 l' |OLL}}<br />
{{Alg|y l' U2 L U L' U' L U L' U' l|OLL}}<br />
{{Alg|y2 r' U' R U' R' U2 r R' U' R U' R' U2 R|OLL}}<br />
{{Alg|y r' U2 R U R' U r R' U2 R U R' U R|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 49 ===<br />
[[Image:o49.gif]]<br />
<br />
{{Alg|R B' R2 F R2 B R2 F' R|OLL}}<br />
{{Alg|l U' l2' U l2 U l2' U' l|OLL}}<br />
{{Alg|y2 r U' r2 U r2 U r2 U' r|OLL}}<br />
{{Alg|y2 R' F R' F' R2 d2 y' R' F R F'|OLL}}<br />
{{Alg|y2 r U2 R2' U' R2 U' r'R' U2 R|OLL}}<br />
{{Alg|(y' x') U l' U2 R U2 l U2 R' U (x)|OLL}}<br />
{{Alg|y' R' U2 R U R' U R F R U R' U' F'|OLL}}<br />
<br />
|<br />
=== OLL 50 ===<br />
[[Image:o50.gif]]<br />
<br />
{{Alg|y2 R' F R2 B' R2 F' R2 B R'|OLL}}<br />
{{Alg|r' U r2 U' r2' U' r2 U r'|OLL}}<br />
{{Alg|R B' R B R2' U2 F R' F' R|OLL}}<br />
{{Alg|y2 l' U l2 U' l2 U' l2 U l'|OLL}}<br />
{{Alg|r' U2 R2' U R2 U rR U2 R'|OLL}}<br />
{{Alg|y' (R U2 R' U' R U' R') (F R U R' U' F')|OLL}}<br />
{{Alg|(y x') U' r U2 L' U2 r' U2 L U' (x)|OLL}}<br />
<br />
|}<br />
<br />
<br />
=="C" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 34 ===<br />
[[Image:o34.gif]]<br />
<br />
{{Alg|R U R' U' x D' R' U R E' z'|OLL}}<br />
{{Alg|y2 R' U' R U y' x' R U L' U' M'|OLL}}<br />
{{Alg|R U R' U' y' r' U' R U M'|OLL}}<br />
{{Alg|(R U R' U') B' (R' F R F') B|OLL|vidurl=http://www.youtube.com/watch?v=oDAcz_XIljE}}<br />
{{Alg|R U R' d' l' U' L U r' R|OLL}}<br />
{{Alg|R U R2 U' R' F R U R U' F'|OLL}}<br />
{{Alg|y2 F R U R' U' R' F' r U R U' r'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 46 ===<br />
[[Image:o46.gif]]<br />
<br />
{{Alg|R' U' R' F R F' U R|OLL}}<br />
{{Alg|R' U' l' U l F' U R|OLL}}<br />
{{Alg|y F U F l' U' l U' F'|OLL}}<br />
{{Alg|R U l U' R' U F' l'|OLL}}<br />
{{Alg|y2 L F U' R U R' F' L'|OLL}}<br />
{{Alg|R U R'2 U' R' F R U R U' F|OLL}}<br />
<br />
|}<br />
<br />
=="T" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 33 ===<br />
[[Image:o33.gif]]<br />
<br />
{{Alg|R U R' U' R' F R F'|OLL}}<br />
{{Alg|R' U' R U l U' R' U (x)|OLL}}<br />
<br />
|<br />
<br />
=== OLL 45 ===<br />
[[Image:o45.gif]]<br />
<br />
{{Alg|F (R U R' U') F'|OLL}}<br />
{{Alg|f' (U' L' U L) f|OLL}}<br />
{{Alg|y2 f (U R U' R') f'|OLL}}<br />
{{Alg|y2 F' (L' U' L U) F|OLL}}<br />
<br />
|}<br />
<br />
=="I" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 55 ===<br />
[[Image:o55.gif]]<br />
<br />
{{Alg|R U2 R2 U' R U' R' U2 F R F'|OLL}}<br />
{{Alg|R' U2 R2 U R' U R U2 y l' U' l|OLL}}<br />
{{Alg|r U2 R2 F R F' U2 r' F R F'|OLL}}<br />
{{Alg|y R' F R U R' F R U' R' F' R U M' U' M|OLL}}<br />
{{Alg|L F' L' U' L F' L' U L F L' U' M' U M|OLL}}<br />
{{Alg|(L F' L' U' L F' L' U L F L' U' L)(R' F R) L'|OLL}}<br />
{{Alg|R d' R2 D R' U2 R D' R2 d R'|OLL}}<br />
A 4x4x4 special: Note: Rra = (R + r) + (L + l) :: (y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'<br />
<br />
|<br />
<br />
=== OLL 56 ===<br />
[[Image:o56.gif]]<br />
{{Alg|r U r' U R U' R' U R U' R' r U' r' |OLL}}<br />
{{Alg|r' U' r U' R' U R U' R' U R r' U r|OLL}}<br />
{{Alg|L F L' U R U' R' U R U' R' L F' L'|OLL}}<br />
{{Alg|F R U R' U' R F' r U R' U' r'|OLL}}<br />
{{Alg|R B R' U L U' L' U L U' L' R B' R'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 51 ===<br />
[[Image:o51.gif]]<br />
<br />
{{Alg|F U R U' R' U R U' R' F'|OLL}}<br />
{{Alg|y2 f R U R' U' R U R' U' f'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 52 ===<br />
[[Image:o52.gif]]<br />
<br />
{{Alg|R' U' R U' R' d R' U R B|OLL}}<br />
{{Alg|R U R' U R d' R U' R' F'|OLL}}<br />
{{Alg|y2 R' U' x U R' U' R U R' U' R x' U R |OLL}}<br />
{{Alg|(R U R' U R U2 R') U (F U R U' R' F')|OLL}}<br />
<br />
|}<br />
<br />
==Square shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 5 ===<br />
[[Image:o5.gif]]<br />
<br />
{{Alg|(r' U2) (R U R' U r)|OLL|vidurl=http://www.youtube.com/watch?v=beKUmNDs-Zo&feature=related}}<br />
{{Alg|y2 l' U2 L U L' U l'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 6 ===<br />
[[Image:o6.gif]]<br />
<br />
{{Alg|y2 (r U2) (R' U' R U') r'|OLL}}<br />
{{Alg|l U2 L' U' L U' l'|OLL}}<br />
<br />
|}<br />
<br />
==Big lightning bolt shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 39 ===<br />
[[Image:o39.gif]]<br />
<br />
{{Alg|L F' L' U' L U F U' L'|OLL}}<br />
{{Alg|y2 f' L F L' U' L' U L S|OLL}}<br />
{{Alg|y2 R U R' F' U' F U R U2 R'|OLL}}<br />
{{Alg|y2 R B' R' U' R U B U' R'|OLL}}<br />
{{Alg|y2 x' R U' x R' U' R U x' U F' l'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 40 ===<br />
[[Image:o40.gif]]<br />
<br />
{{Alg|R' F R U R' U' F' U R|OLL}}<br />
{{Alg|y2 f R' F' R U R U' R' S'|OLL}}<br />
{{Alg|y2 L' B L U L' U' B' U L|OLL}}<br />
<br />
|}<br />
<br />
<br />
==Small lightning bolt shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 7 ===<br />
[[Image:o7.gif]]<br />
<br />
{{Alg|r U R' U R U2 r'|OLL}}<br />
{{Alg|F R' F' R U2 R U2 R'|OLL}}<br />
{{Alg|L' U2 L U2 L F' L' F|OLL}}<br />
<br />
|<br />
<br />
=== OLL 8 ===<br />
[[Image:o8.gif]]<br />
<br />
{{Alg|y2 r' U' R U' R' U2 r|OLL}}<br />
{{Alg|R U2 R' U2 R' F R F'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 11 ===<br />
[[Image:o11.gif]]<br />
<br />
{{Alg|r' R2 U R' U R U2 R' U r R'|OLL}}<br />
{{Alg|y2 r U R' U R' F R F' R U2 r'|OLL}}<br />
{{Alg|y F' L' U' L U F y F R U R' U' F'|OLL}}<br />
{{Alg|R U R' y' U' R' U' R y U R' F' R U R U' R' F|OLL}}<br />
<br />
|<br />
<br />
=== OLL 12 ===<br />
[[Image:o12.gif]]<br />
<br />
{{Alg|F R U R' U' F' y F R U R' U' F'|OLL}}<br />
{{Alg|y F R U R2 F R y' R2 U R U2 R'|OLL}}<br />
{{Alg|y' r R2 U' R U' R' U2 R U' R r'|OLL}}<br />
<br />
|}<br />
<br />
==Fish shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 9 ===<br />
[[Image:o9.gif]]<br />
<br />
{{Alg|y' R' U' R y' x' R U' R' F R U R' x|OLL}}<br />
{{Alg|y' R' U' R x U' R' U y R U y' R U' x'|OLL}}<br />
{{Alg|y' R U R' U' R' F R2 U R' U' F'|OLL}}<br />
{{Alg|y' R' U' R y r U' r' U r U r|OLL}}<br />
<br />
|<br />
<br />
=== OLL 10 ===<br />
[[Image:o10.gif]]<br />
<br />
{{Alg|y' R U R' y R' F R U' R' F' R|OLL}}<br />
{{Alg|y' R U R' y' r' U r U' r' U' r|OLL}}<br />
{{Alg|y' R U R' U R' F R F' R U2 R'|OLL}}<br />
{{Alg|y' R' U' R U R B' R2 U' R U B|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 35 ===<br />
[[Image:o35.gif]]<br />
<br />
{{Alg|R U2 R2' F R F' R U2 R'|OLL}}<br />
{{Alg|y' R' U2 (R l) U' R' U l' U2 R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 37 ===<br />
[[Image:o37.gif]]<br />
<br />
{{Alg|x' U' R U l' U' R' U R|OLL}}<br />
{{Alg|l U' R' U y' R U R' U' z'|OLL}}<br />
{{Alg|y F R U' R' U' R U R' F'|OLL}}<br />
{{Alg|y R' F R F' U' F' U F|OLL}}<br />
{{Alg|y F R' F' R U R U' R'|OLL}}<br />
{{Alg|R B' R' B U B U' B'|OLL}}<br />
<br />
|}<br />
<br />
==Knight move shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 13 ===<br />
[[Image:o13.gif]]<br />
<br />
{{Alg|F U R U' R2 F' R U R U' R'|OLL}}<br />
{{Alg|F U R U2 R' U' R U R' F'|OLL}}<br />
{{Alg|r U' r' U' r U r' y' R' U R|OLL}}<br />
{{Alg|y2 x' R U' R' F' R U R' x y R' U R|OLL}}<br />
{{Alg|y2 f R U R2 U' R' U R U' f'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 14 ===<br />
[[Image:o14.gif]]<br />
<br />
{{Alg|R' F R U R' F' R y' R U' R'|OLL}}<br />
{{Alg|y' R' U' y' R' U R2 B R' U' R' U R|OLL}}<br />
{{Alg|y2 B' U' R' U R2 B R' U' R' U R|OLL}}<br />
{{Alg|y2 x' R U' R' F' R U R' x y R' U R|OLL}}<br />
{{Alg|y2 r' U r U r' U' r y R U' R'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 15 ===<br />
[[Image:o15.gif]]<br />
<br />
{{Alg|y2 l' U' l L' U' L U l' U l|OLL}}<br />
{{Alg|y2 R' F' R L' U' L U R' F R|OLL}}<br />
{{Alg|r' U' r R' U' R U r' U r|OLL}}<br />
<br />
|<br />
<br />
=== OLL 16 ===<br />
[[Image:o16.gif]]<br />
<br />
{{Alg|y2 r U r' R U R' U' r U' r'|OLL}}<br />
{{Alg|y2 r U M U R' U' r U' r'|OLL}}<br />
{{Alg|y2 F' R U R' U' R' F R U' y' R' U R U y R U' R'|OLL}}<br />
<br />
|}<br />
<br />
==Awkward shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 29 ===<br />
[[Image:o29.gif]]<br />
<br />
{{Alg|y2 R' F R F' R U2 R' d' L' U' L|OLL}}<br />
{{Alg|y2 R' F R F' R U2 R' U' y' R' U' R|OLL}}<br />
{{Alg|y2 R2' U' R F R' U R2' U' R' F' R|OLL}}<br />
{{Alg|y (R U R' U') (R U' R' F') U' (F R U R')|OLL}}<br />
{{Alg|y R' U2 R2 U R' U' R' U2 F R F'|OLL}}<br />
{{Alg|M U (R U R' U') (R' F R F') M'|OLL}}<br />
{{Alg|y2 r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 30 ===<br />
[[Image:o30.gif]]<br />
<br />
{{Alg|y2 F R' F R2 U' R' U' R U R' F2|OLL}}<br />
{{Alg|l U' R' U l' U2 d L U L'|OLL}}<br />
{{Alg|f R U R2 U' R' U R2 U' R' f'|OLL}}<br />
{{Alg|y2 F U R U' x' U R' D' R U' R'|OLL}}<br />
{{Alg|R2' U R' B' R U' R2' U R B R'|OLL}}<br />
{{Alg|M U' (L' U' L U) (L F' L' F) M'|OLL}}<br />
{{Alg|y2 M' U' (R' U' R U) x (R U' R' U) M x|OLL}}<br />
{{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 41 ===<br />
[[Image:o41.gif]]<br />
<br />
{{Alg|R U' R' U2 R U y R U' R' y' U' R'|OLL}}<br />
{{Alg|y R U2' R' U' R U' R2 (y) L' U' L U F|OLL}}<br />
{{Alg|y2 F U R U' R' F' R' U2 R U R' U R|OLL}}<br />
{{Alg|y2 R U R' U R U2 R' F R U R' U' F'|OLL}}<br />
{{Alg|y2 r R2 y' R' U' R U y R U' M|OLL}}<br />
{{Alg|y2 R2 L z' l' U' R d L U' L l'|OLL}}<br />
{{Alg|y' (L F' L' F)*2 L U' L' U L U' L|OLL}}<br />
<br />
|<br />
<br />
=== OLL 42 ===<br />
[[Image:o42.gif]]<br />
<br />
{{Alg|r' R2 y R U R' U' y' R' U M'|OLL}}<br />
{{Alg|R' U' R U F R U R' U' R' U R U' F'|OLL}}<br />
{{Alg|L' U L U2 L' U' y' L' U L U F|OLL}}<br />
{{Alg|y R' U2 R U R' U R2 y R U R' U' F'|OLL}}<br />
{{Alg|y (R' F R F')*2 R U R' U' R U R'|OLL}}<br />
{{Alg|y2 L2 R' z r U L' d' R' U R' r|OLL}}<br />
<br />
|}<br />
<br />
==All Corners Oriented==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 28 ===<br />
[[Image:o28.gif]]<br />
<br />
{{Alg|r U R' U' r' R U R U' R'|OLL}}<br />
{{Alg|y r U2 R' U' R U' r' R U R' U R U2 R'|OLL}}<br />
{{Alg|r U R' U R U2 r' R U2 R' U' R U' R'|OLL}}<br />
{{Alg|y r' U' R U' R' U2 r R' U2 R U R' U R|OLL}}<br />
{{Alg|y' r' U' R U M' U' R' U R|OLL}}<br />
{{Alg|r' U2 R U R' U r R' U' R U' R' U2 R|OLL}}<br />
{{Alg|F R U R' U' F' U2 F R U R' U' F'|OLL}}<br />
{{Alg|F R U R' U' F2 L' U' L U F|OLL}}<br />
{{Alg|M U M' U2 M U M'|OLL}}<br />
{{Alg|y M U' M' U2 M U' M'|OLL}}<br />
{{Alg|y2 M' U M U2 M' U M|OLL}}<br />
{{Alg|y' M U M2 U M' U2 M U M |OLL}}<br />
{{Alg|M U M U M' U' M U' M U M |OLL}}<br />
{{Alg|M U M' U M U2 M' U' M U' M'|OLL}}<br />
{{Alg|y M U' M U' M' U M U M U' M |OLL}}<br />
{{Alg|y2 M U' M2 U' M' U2 M U' M |OLL}}<br />
{{Alg|y' M U M' U M U M' U M U M' |OLL}}<br />
{{Alg|y' M' U' M U M U M U' M U' M' U M2|OLL}}<br />
{{Alg|y' M2 U M' U2 M U M U M U2 M' U M|OLL}}<br />
{{Alg|y2 M' U M U' M U' M U M U M' U' M2 |OLL}}<br />
{{Alg|M U' M2 U2 M' U' M U2 M U' M U' M' |OLL}}<br />
{{Alg|y' M' U' F2 M2 U' M U F2 U M2 |OLL}}<br />
{{Alg|y2 M' U F2 M2 U M U' F2 U' M2 |OLL}}<br />
{{Alg|R' F R S R' F' R S' |OLL}}<br />
{{Alg|L2 S U' S' U L2 U S U S' |OLL}}<br />
{{Alg|y L F' L' S' L F L'S |OLL}}<br />
<br />
|<br />
<br />
=== OLL 57 ===<br />
[[Image:o57.gif]]<br />
<br />
{{Alg|R U R' U' r R' U R U' r'|OLL}}<br />
{{Alg|(x') M' U' R U M U' R' U (x)|OLL}}<br />
{{Alg|R' U' R U M U' R' U r|OLL}}<br />
{{Alg|M U M U M U2 M' U M' U M' |OLL}}<br />
{{Alg|M U M U M U2 M' U M' U M' |OLL}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M|OLL}}<br />
{{Alg|M U M' U' M U M' U M U2 M'|OLL}}<br />
{{Alg|M' U' M U M' U' M U' M' U2 M|OLL}}<br />
{{Alg|M U M2 U2 M U M U2 M U' M' U' M'|OLL}}<br />
{{Alg|M' U' M2 U2 M' U' M' U2 M' U M U M|OLL}}<br />
{{Alg|M2 U' M U M' U M' U' M' U' M' U M |OLL}}<br />
{{Alg|M2 U' M' U M U M U' M U' M U M' |OLL}}<br />
{{Alg|y M' U M' U M' U M' U M' U' M' U' M' U' M' |OLL}}<br />
{{Alg|y M' U M U M' U M U' M' U' M|OLL}}<br />
{{Alg|y M' U' M U' M' U' M U M' U M|OLL}}<br />
{{Alg|y M U' M' U' M U' M' U M U M'|OLL}}<br />
{{Alg|y M U M' U M U M' U' M U' M'|OLL}}<br />
{{Alg|M U M' U' F2 M U M' U' F2 |OLL}}<br />
{{Alg|M' U' M U F2 M' U' M U F2|OLL}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M|OLL}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F' |OLL}}<br />
<br />
|}<br />
<br />
== See Also ==<br />
* [[OLL (2x2x2)]]<br />
* [[2-Look OLL]]<br />
* [[PLL]]<br />
<br />
[[Category:Methods]]<br />
[[Category:3x3x3 Methods]]<br />
[[Category:Last Layer Methods]]<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
[[Category:Algorithms]]<br />
[[Category:Sub Steps]]<br />
<br />
== External Links ==<br />
<br />
* [http://www.kungfoomanchu.com/#333oll Printable OLL PDF] (All OLL algs in one page and color coded)<br />
* [http://mordred.awardspace.us/OLLCheatSheet.pdf OLL Cheat Sheet] (Printable PDF of all OLL algorithms on 2 pages. Can be printed Double Sided)</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=OLL&diff=8322
OLL
2010-05-30T12:52:06Z
<p>AndyK: Undo revision 8321 by AndyK (Talk)</p>
<hr />
<div>__NOTOC__<br />
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods, such as the [[Fridrich Method]], usally followed by [[PLL]].<br />
<br />
Parentheses in an algorithm signify the triggers of the algorithm. For example, [(R U R') (L' U L)] shows two triggers in the algorithm, even though it is the same as [R U R' L' U L].<br />
<br />
The areas shaded in gray represent the oriented pieces on the top layer. You can tell if a piece is oriented by looking at the top color of the piece in relation to the top center of the cube. If the piece is oriented, the two colors will be the same.<br />
<br />
The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top is.<br />
<br />
<strong>Click on an algorithm (not the camera icon) to watch an animation of it.</strong><br />
<br />
{{OLL}}<br />
<br />
==All edges flipped correctly==<br />
This subgroup, '''OCLL''' (also '''OLL-C''') is used in methods which have oriented the [[LL]] edges earlier in the solve, such as [[ZZ]]. Solving the '''OCLL''' is also the second part of the [[2-look OLL]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== OLL 21 ===<br />
[[Image:o21.gif]]<br />
<br />
{{Alg|R U R' U R U' R' U R U2 R'|OLL}}<br />
{{Alg|y R U2 R' U' R U R' U' R U' R'|OLL}}<br />
{{Alg|y F (R U R' U') (R U R' U') (R U R' U') F'|OLL}}<br />
{{Alg|y F' (L' U' L U) (L' U' L U) (L' U' L U) F|OLL}}<br />
{{Alg|R' U' R U' R' U R U' R' U2 R|OLL}}<br />
{{Alg|L U L' U L U' L' U L U2 L'|OLL}}<br />
{{Alg|y L' U2 L U L' U' L U L' U L|OLL}}<br />
<br />
|<br />
<br />
=== OLL 22 ===<br />
[[Image:o22.gif]]<br />
<br />
{{Alg|R U2 R2' U' R2 U' R2' U2 R|OLL}}<br />
{{Alg|f (R U R' U') f' F (R U R' U') F'|OLL}}<br />
{{Alg|y2 f' (L' U' L U) f F' (L' U' L U) F|OLL}}<br />
{{Alg|y2 L' U2 L2 U L2 U L2 U2 L'|OLL}}<br />
{{Alg|R U2 R2 U' R' U R U' R U' R' y M' U2 M|OLL}}<br />
{{Alg|R' U L U' R U' L' U' L U' L'|OLL}}<br />
{{Alg|y2 L U' R' U L' U R U R' U R|OLL}}<br />
{{Alg|y2 L' U R U' L U' R' U' R U' R'|OLL}}<br />
{{Alg|R U' L' U R' U L U L' U L|OLL}}<br />
{{Alg|R U R' U R U2 R' y' R U R' U R U2 R'|OLL}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 23 ===<br />
[[Image:o23.gif]]<br />
<br />
{{Alg|R2 D' R U2 R' D R U2 R|OLL}}<br />
{{Alg|L2 D L' U2 L D' L' U2 L'|OLL}}<br />
{{Alg|R' U2 R F U' R' U' R U F'|OLL}}<br />
{{Alg|l2 U' R D2 R' U R D2 R|OLL}}<br />
{{Alg|l2' U' z' U R2 U' L U R2 z' L|OLL}}<br />
{{Alg|y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'|OLL}}<br />
{{Alg|y2 R' F2 R U2 R U2 R' F2 R U2 R'|OLL}}<br />
{{Alg|y2 R2 D R' U2 R D' R' U2 R'|OLL}}<br />
{{Alg|(R' U' R U) R' U2 R2 U (R' U R U2 R)|OLL}}<br />
{{Alg|R2' B2 R F2' R' B2 R F2' R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 24 ===<br />
[[Image:o24.gif]]<br />
<br />
{{Alg|r U R' U' L' U R U' x'|OLL}}<br />
{{Alg|r U R' U' r' F R F'|OLL}}<br />
{{Alg|y' F R U R' U' R U' R U' R U R' F'|OLL}}<br />
{{Alg|y' R U R2' U' R2 U' R2' U2' R U' R U' R'|OLL}}<br />
{{Alg|y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')|OLL}}<br />
{{Alg|y x D' R' U R D R' U' R x'|OLL}}<br />
{{Alg|y x D L U' L' D' L U L' x' |OLL}}<br />
{{Alg|y x' U' R' D R U R' D' R x|OLL}}<br />
{{Alg|y2 R' F' r U R U' r' F|OLL}}<br />
{{Alg|y2 l' U' L U R U' r' F|OLL}}<br />
{{Alg|y' l U l' F R B' R' F'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 25 ===<br />
[[Image:o25.gif]]<br />
<br />
{{Alg|y2 R' F R B' R' F' R B|OLL}}<br />
{{Alg|y' F' r U R' U' r' F R|OLL}}<br />
{{Alg|y' x U R' U' L U R U' r'|OLL}}<br />
{{Alg|y R' F' L' F R F' L F|OLL}}<br />
{{Alg|y R' U' (R U R' F') (R U R' U') (R' F R2)|OLL}}<br />
{{Alg|y2 R U2' R D R' U2 R D' R2'|OLL}}<br />
{{Alg|y2 F R' F' r U R U' r'|OLL}}<br />
{{Alg|y2 l' U R D' R' U' R D x'|OLL}}<br />
{{Alg|y2 x' L' U' R' U L U' R U|OLL}}<br />
{{Alg|x' D R U R' D' R U' l'|OLL}}<br />
{{Alg|x' U L' U' R U L U' l'|OLL}}<br />
{{Alg|x' R' D R U' R' D' R U x|OLL}}<br />
{{Alg|x R' U R D' R' U' R D x'|OLL}}<br />
{{Alg|y2 x L U' L' D L U L' D' x'|OLL}}<br />
{{Alg|l' U' L' U R U' L U x'|OLL}}<br />
{{Alg|U r U R U' L' U R' U' x'|OLL}}<br />
{{Alg|R U2 R' U' R U R' U' R U R' U' R U' R'|OLL}}<br />
{{Alg|R U R' U R U' R' U R U' R' U R U2 R'|OLL}}<br />
{{Alg|y2 L' R U R' U' L U R U' R'|OLL}}<br />
{{Alg|F R B R' F' l U' l'|OLL}}<br />
<br />
=== OLL 26 ===<br />
[[Image:o26.gif]]<br />
<br />
{{Alg|y2 R' U' R U' R' U2 R|OLL}}<br />
{{Alg|y' R U2 R' U' R U' R'|OLL}}<br />
{{Alg|y' L U2 L' U' L U' L'|OLL}}<br />
{{Alg|L' U' L U' L' U2 L|OLL}}<br />
{{Alg|L' U R U' L U R'|OLL}}<br />
{{Alg|y' L' U R U' L U R'|OLL}}<br />
{{Alg|y' R U R' R U R' U' R U R' R U R' R U R' |OLL}}<br />
<br />
=== OLL 27 ===<br />
[[Image:o27.gif]]<br />
<br />
{{Alg|R U R' U R U2 R'|OLL}}<br />
{{Alg|R U R' U R U R' R U R'|OLL}}<br />
{{Alg|y' R' U2 R U R' U R|OLL}}<br />
{{Alg|y L' U2 L U L' U L|OLL}}<br />
{{Alg|y2 L U L' U L U2 L'|OLL}}<br />
{{Alg|R U' L' U R' U' L|OLL}}<br />
{{Alg|U2 r2 U R' U' L' U R U' r'|OLL}}<br />
<br />
|}<br />
<br />
==No edges flipped correctly==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 1 === <br />
[[Image:o1.gif]]<br />
<br />
{{Alg|(R U2) (R2' F R F' U2') (R' F R F')|OLL|vidurl=http://www.youtube.com/watch?v=n_2qaxpViEY}}<br />
{{Alg|R U B' R B R2 U' R' F R F'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 2 === <br />
[[Image:o2.gif]]<br />
<br />
{{Alg|F (R U R' U') F' f (R U R' U') f'|OLL|vidurl=http://www.youtube.com/watch?v=YJZ4Vm5_FZI&feature=related}}<br />
{{Alg|y2 F' (L' U' L U) F f' (L' U' L U) f|OLL}}<br />
{{Alg|y r U r' U2 r U2 R' U2 R U' r'|OLL}}<br />
{{Alg|y l' U' l U2 l' U2 L U2 L' U l|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 3 ===<br />
[[Image:o3.gif]]<br />
<br />
{{Alg|y f (R U R' U') f' U' F (R U R' U') F'|OLL}}<br />
{{Alg|y2 r' R2 U R' U r U2 r' U R' r|OLL|vidurl=http://www.youtube.com/watch?v=VIHqsOoGLVc&feature=related}}<br />
{{Alg|y2 M U l' U2 l U L' U L M'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 4 ===<br />
[[Image:o4.gif]]<br />
<br />
{{Alg|f (R U R' U') f' U F (R U R' U') F'|OLL}}<br />
{{Alg|R' U2 x R' U R U' y R' U' R' U R' F|OLL}}<br />
{{Alg|y r' R U' r U2 r' U' R U' R2' r|OLL}}<br />
{{Alg|y M U' r U2' r' U' R U' R' M'|OLL}}<br />
{{Alg|l L2 U' L U' l' U2 l U' M'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 20 ===<br />
[[Image:o20.gif]]<br />
<br />
{{Alg|r' R U R U R' U' r2 R2' U R U' r'|OLL}}<br />
{{Alg|M U R U R' U' M2 U R U' r'|OLL}}<br />
{{Alg|r U R' U' M2 (U R U' R') U' M'|OLL}}<br />
{{Alg|M' U2 M' U2 M' U M U2 M U2 M|OLL}}<br />
{{Alg|M' U2 M U2 M' U M U2 M' U2 M|OLL}}<br />
{{Alg|M U2 M' U2 M U M' U2 M U2 M' U' |OLL}}<br />
{{Alg|M U2 M U2 M U M' U2 M' U2 M' U'|OLL}}<br />
{{Alg|M' U M' U M' U M' U M U M U M U M U|OLL}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M' |OLL}}<br />
{{Alg|M' U' M U' M' U2 M' U' M' U' M U' M' U' M' |OLL}}<br />
{{Alg|M' U' M U2 M' U' M2 U M' U2 M U M'|OLL}}<br />
{{Alg|M d r2 U M' U2 M U r2 S'|OLL}}<br />
{{Alg|M U M F R' F' M2 F R F' U'|OLL}}<br />
{{Alg|R2 U2 R' F2 U2 R2 F' R2 U2 F2 R U2 R2 U' |OLL}}<br />
{{Alg|R B U B' R' F2 B D' L' D B'F2 |OLL}}<br />
{{Alg|L' R' F' U2 L2 U2 L2 U2 L2 F L R |OLL}}<br />
{{Alg|F U2 F' U L' U' B' R' U2 R U' B U L |OLL}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U |OLL}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2 |OLL}}<br />
{{Alg|F' B' R E S R S' R2 E' F B |OLL}}<br />
{{Alg|B' R' B F2 U' R' U' R' F R2 U F2 R |OLL}}<br />
{{Alg|B L B' F2 U L U L F' L2 U' F2 L' |OLL}}<br />
{{Alg|S U S2 U' L U L S L' U' L' |OLL}}<br />
{{Alg|S' U' S2 U R' U' R' S' R U R|OLL}}<br />
{{Alg|(M U) 4 (M' U) 4|OLL}}<br />
<br />
|<br />
<br />
=== OLL 17 ===<br />
[[Image:o17.gif]]<br />
<br />
{{Alg|R U R' U (R' F R F') U2 (R' F R F')|OLL}}<br />
{{Alg|f (R U R' U') y' r' (R U R' U') R' F R F'|OLL}}<br />
{{Alg|F R' F' l R L' U R U' R' U' M'|OLL}}<br />
<br />
=== OLL 18 ===<br />
[[Image:o18.gif]]<br />
<br />
{{Alg|y' r U R' U R U2 r2' U' R U' R' U2 r|OLL}}<br />
{{Alg|y2 F R U R' d R' U2 R' F R F'|OLL}}<br />
{{Alg|R U2 R2 F R F' U2 M' U R U' r'|OLL}}<br />
{{Alg|l' U' r' U2 L U2 L' U2 r U l|OLL}}<br />
{{Alg|y (F R' F' R) U2 (F R' F' R)(U' R U' R') |OLL}}<br />
{{Alg|y x (U R' U' R) B2 (U R' U' R)(B' R B' R') x' |OLL}}<br />
<br />
=== OLL 19 ===<br />
[[Image:o19.gif]]<br />
<br />
{{Alg|r' U2 R U R' U r2 U2' R' U' R U' r'|OLL}}<br />
{{Alg|R' U2 F R U R' U' y' R2 U2 R B|OLL}}<br />
{{Alg|r' R U R U R' U' r R2' F R F'|OLL}}<br />
{{Alg|M U R U R' U' r R2' F R F'|OLL}}<br />
{{Alg|M U R U R' U' M' l' U R U'|OLL}}<br />
<br />
|}<br />
<br />
=="P" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 31 ===<br />
[[Image:o31.gif]]<br />
<br />
{{Alg|L' d' R d L U' L' B' L|OLL}}<br />
{{Alg|S' L' U' L U L F' L' f|OLL}}<br />
{{Alg|y x U R' U' l U R U R' U' R U' R'|OLL}}<br />
{{Alg|y2 R' U' F U R U' R' F' R|OLL}}<br />
{{Alg|L' U' B U L U' L' B' L|OLL}}<br />
<br />
|<br />
<br />
=== OLL 32 ===<br />
[[Image:o32.gif]]<br />
<br />
{{Alg|R d L' d' R' U R B R'|OLL}}<br />
{{Alg|S R U R' U' R' F R f'|OLL}}<br />
{{Alg|y x' U' R U l' U' R' U' R U R' U R|OLL}}<br />
{{Alg|R U B' U' R' U R B R'|OLL}}<br />
{{Alg|y2 F U R U' F' r U R' U' r'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 43 ===<br />
[[Image:o43.gif]]<br />
<br />
{{Alg|f' L' U' L U f|OLL}}<br />
{{Alg|B' U' R' U R B|OLL}}<br />
{{Alg|y2 F' U' L' U L F|OLL}}<br />
{{Alg|U R U R' F' L' U' L F|OLL}}<br />
{{Alg|y2 R' U' F R' F' R U R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 44 ===<br />
[[Image:o44.gif]]<br />
<br />
{{Alg|f R U R' U' f'|OLL}}<br />
{{Alg|y2 F U R U' R' F'|OLL}}<br />
{{Alg|y R U y' L U' L' B'|OLL}}<br />
{{Alg|y F U R' F R F' U' F'|OLL}}<br />
<br />
|}<br />
<br />
=="W" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 36 ===<br />
[[Image:o36.gif]]<br />
<br />
{{Alg|R' U' R U' R' U R U R B' R' B|OLL}}<br />
{{Alg|y2 (L' U' L U') (L' U L U) (L F' L' F)|OLL}}<br />
{{Alg|(R U R' U') y (L' U2' L U) y' (R U R')|OLL}}<br />
<br />
|<br />
<br />
=== OLL 38 ===<br />
[[Image:o38.gif]]<br />
<br />
{{Alg|L U L' U L U' L' U' L' B L B'|OLL}}<br />
{{Alg|y2 R U R' U R U' R' U' R' F R F'|OLL}}<br />
{{Alg|(L' U' L U) y' (R U2 R' U') y (L' U' L)|OLL}}<br />
<br />
|}<br />
<br />
=="L" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 53 ===<br />
[[Image:o53.gif]]<br />
<br />
{{Alg|l' U' L U' L' U L U' L' U2 l|OLL}}<br />
{{Alg|y' l U2 L U L' U' L U L' U' l'|OLL}}<br />
{{Alg|y2 r' U' R U' R' U R U' R' U2 r|OLL}}<br />
{{Alg|y' r' U2 R U R' U' R U R' U r|OLL}}<br />
{{Alg|y' r U2 R' U' R U' r' R U2 R' U' R U' R'|OLL}}<br />
{{Alg|r U R' U R U2 r' R U R' U R U2 R'|OLL}}<br />
{{Alg|F R U R' U' F' R U R' U' R' F R F'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 54 ===<br />
[[Image:o54.gif]]<br />
<br />
{{Alg|r U R' U R U' R' U R U2 r'|OLL}}<br />
{{Alg|y' r U2 R' U' R U R' U' R U' r'|OLL}}<br />
{{Alg|y2 l U L' U L U' L' U L U2 l' |OLL}}<br />
{{Alg|y l' U2 L U L' U' L U L' U' l|OLL}}<br />
{{Alg|y2 r' U' R U' R' U2 r R' U' R U' R' U2 R|OLL}}<br />
{{Alg|y r' U2 R U R' U r R' U2 R U R' U R|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 50 ===<br />
[[Image:o50.gif]]<br />
<br />
{{Alg|y2 R' F R2 B' R2 F' R2 B R'|OLL}}<br />
{{Alg|r' U r2 U' r2' U' r2 U r'|OLL}}<br />
{{Alg|R B' R B R2' U2 F R' F' R|OLL}}<br />
{{Alg|y2 l' U l2 U' l2 U' l2 U l'|OLL}}<br />
{{Alg|r' U2 R2' U R2 U rR U2 R'|OLL}}<br />
{{Alg|y' (R U2 R' U' R U' R') (F R U R' U' F')|OLL}}<br />
{{Alg|(y x') U' r U2 L' U2 r' U2 L U' (x)|OLL}}<br />
<br />
|<br />
<br />
=== OLL 47 ===<br />
[[Image:o47.gif]]<br />
<br />
{{Alg|F' L' U' L U L' U' L U F|OLL}}<br />
{{Alg|y' r U R' U R U2 r' R' U2 R U R' U R|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 48 ===<br />
[[Image:o48.gif]]<br />
<br />
{{Alg|F R U R' U' R U R' U' F'|OLL}}<br />
{{Alg|y2 f U R U' R' U R U' R' f'|OLL}}<br />
{{Alg|y r U2 R' U' R U' r' R' U' R U' R' U2 R|OLL}}<br />
{{Alg|y' r' U' R U' R' U2 r R U2 R' U' R U' R'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 49 ===<br />
[[Image:o49.gif]]<br />
<br />
{{Alg|R B' R2 F R2 B R2 F' R|OLL}}<br />
{{Alg|l U' l2' U l2 U l2' U' l|OLL}}<br />
{{Alg|y2 r U' r2 U r2 U r2 U' r|OLL}}<br />
{{Alg|y2 R' F R' F' R2 d2 y' R' F R F'|OLL}}<br />
{{Alg|y2 r U2 R2' U' R2 U' r'R' U2 R|OLL}}<br />
{{Alg|(y' x') U l' U2 R U2 l U2 R' U (x)|OLL}}<br />
{{Alg|y' R' U2 R U R' U R F R U R' U' F'|OLL}}<br />
<br />
|}<br />
<br />
=="C" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 34 ===<br />
[[Image:o34.gif]]<br />
<br />
{{Alg|R U R' U' x D' R' U R E' z'|OLL}}<br />
{{Alg|y2 R' U' R U y' x' R U L' U' M'|OLL}}<br />
{{Alg|R U R' U' y' r' U' R U M'|OLL}}<br />
{{Alg|(R U R' U') B' (R' F R F') B|OLL|vidurl=http://www.youtube.com/watch?v=oDAcz_XIljE}}<br />
{{Alg|R U R' d' l' U' L U r' R|OLL}}<br />
{{Alg|R U R2 U' R' F R U R U' F'|OLL}}<br />
{{Alg|y2 F R U R' U' R' F' r U R U' r'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 46 ===<br />
[[Image:o46.gif]]<br />
<br />
{{Alg|R' U' R' F R F' U R|OLL}}<br />
{{Alg|R' U' l' U l F' U R|OLL}}<br />
{{Alg|y F U F l' U' l U' F'|OLL}}<br />
{{Alg|R U l U' R' U F' l'|OLL}}<br />
{{Alg|y2 L F U' R U R' F' L'|OLL}}<br />
{{Alg|R U R'2 U' R' F R U R U' F|OLL}}<br />
<br />
|}<br />
<br />
=="T" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 33 ===<br />
[[Image:o33.gif]]<br />
<br />
{{Alg|R U R' U' R' F R F'|OLL}}<br />
{{Alg|R' U' R U l U' R' U (x)|OLL}}<br />
<br />
|<br />
<br />
=== OLL 45 ===<br />
[[Image:o45.gif]]<br />
<br />
{{Alg|F (R U R' U') F'|OLL}}<br />
{{Alg|f' (U' L' U L) f|OLL}}<br />
{{Alg|y2 f (U R U' R') f'|OLL}}<br />
{{Alg|y2 F' (L' U' L U) F|OLL}}<br />
<br />
|}<br />
<br />
=="I" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 55 ===<br />
[[Image:o55.gif]]<br />
<br />
{{Alg|R U2 R2 U' R U' R' U2 F R F'|OLL}}<br />
{{Alg|R' U2 R2 U R' U R U2 y l' U' l|OLL}}<br />
{{Alg|r U2 R2 F R F' U2 r' F R F'|OLL}}<br />
{{Alg|y R' F R U R' F R U' R' F' R U M' U' M|OLL}}<br />
{{Alg|L F' L' U' L F' L' U L F L' U' M' U M|OLL}}<br />
{{Alg|(L F' L' U' L F' L' U L F L' U' L)(R' F R) L'|OLL}}<br />
{{Alg|R d' R2 D R' U2 R D' R2 d R'|OLL}}<br />
A 4x4x4 special: Note: Rra = (R + r) + (L + l) :: (y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'<br />
<br />
|<br />
<br />
=== OLL 56 ===<br />
[[Image:o56.gif]]<br />
{{Alg|r U r' U R U' R' U R U' R' r U' r' |OLL}}<br />
{{Alg|r' U' r U' R' U R U' R' U R r' U r|OLL}}<br />
{{Alg|L F L' U R U' R' U R U' R' L F' L'|OLL}}<br />
{{Alg|F R U R' U' R F' r U R' U' r'|OLL}}<br />
{{Alg|R B R' U L U' L' U L U' L' R B' R'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 51 ===<br />
[[Image:o51.gif]]<br />
<br />
{{Alg|F U R U' R' U R U' R' F'|OLL}}<br />
{{Alg|y2 f R U R' U' R U R' U' f'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 52 ===<br />
[[Image:o52.gif]]<br />
<br />
{{Alg|R' U' R U' R' d R' U R B|OLL}}<br />
{{Alg|R U R' U R d' R U' R' F'|OLL}}<br />
{{Alg|y2 R' U' x U R' U' R U R' U' R x' U R |OLL}}<br />
{{Alg|(R U R' U R U2 R') U (F U R U' R' F')|OLL}}<br />
<br />
|}<br />
<br />
==Square shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 5 ===<br />
[[Image:o5.gif]]<br />
<br />
{{Alg|(r' U2) (R U R' U r)|OLL|vidurl=http://www.youtube.com/watch?v=beKUmNDs-Zo&feature=related}}<br />
{{Alg|y2 l' U2 L U L' U l'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 6 ===<br />
[[Image:o6.gif]]<br />
<br />
{{Alg|y2 (r U2) (R' U' R U') r'|OLL}}<br />
{{Alg|l U2 L' U' L U' l'|OLL}}<br />
<br />
|}<br />
<br />
==Big lightning bolt shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 39 ===<br />
[[Image:o39.gif]]<br />
<br />
{{Alg|L F' L' U' L U F U' L'|OLL}}<br />
{{Alg|y2 f' L F L' U' L' U L S|OLL}}<br />
{{Alg|y2 R U R' F' U' F U R U2 R'|OLL}}<br />
{{Alg|y2 R B' R' U' R U B U' R'|OLL}}<br />
{{Alg|y2 x' R U' x R' U' R U x' U F' l'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 40 ===<br />
[[Image:o40.gif]]<br />
<br />
{{Alg|R' F R U R' U' F' U R|OLL}}<br />
{{Alg|y2 f R' F' R U R U' R' S'|OLL}}<br />
{{Alg|y2 L' B L U L' U' B' U L|OLL}}<br />
<br />
|}<br />
<br />
<br />
==Small lightning bolt shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 7 ===<br />
[[Image:o7.gif]]<br />
<br />
{{Alg|r U R' U R U2 r'|OLL}}<br />
{{Alg|F R' F' R U2 R U2 R'|OLL}}<br />
{{Alg|L' U2 L U2 L F' L' F|OLL}}<br />
<br />
|<br />
<br />
=== OLL 8 ===<br />
[[Image:o8.gif]]<br />
<br />
{{Alg|y2 r' U' R U' R' U2 r|OLL}}<br />
{{Alg|R U2 R' U2 R' F R F'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 11 ===<br />
[[Image:o11.gif]]<br />
<br />
{{Alg|r' R2 U R' U R U2 R' U r R'|OLL}}<br />
{{Alg|y2 r U R' U R' F R F' R U2 r'|OLL}}<br />
{{Alg|y F' L' U' L U F y F R U R' U' F'|OLL}}<br />
{{Alg|R U R' y' U' R' U' R y U R' F' R U R U' R' F|OLL}}<br />
<br />
|<br />
<br />
=== OLL 12 ===<br />
[[Image:o12.gif]]<br />
<br />
{{Alg|F R U R' U' F' y F R U R' U' F'|OLL}}<br />
{{Alg|y F R U R2 F R y' R2 U R U2 R'|OLL}}<br />
{{Alg|y' r R2 U' R U' R' U2 R U' R r'|OLL}}<br />
<br />
|}<br />
<br />
==Fish shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 9 ===<br />
[[Image:o9.gif]]<br />
<br />
{{Alg|y' R' U' R y' x' R U' R' F R U R' x|OLL}}<br />
{{Alg|y' R' U' R x U' R' U y R U y' R U' x'|OLL}}<br />
{{Alg|y' R U R' U' R' F R2 U R' U' F'|OLL}}<br />
{{Alg|y' R' U' R y r U' r' U r U r|OLL}}<br />
<br />
|<br />
<br />
=== OLL 10 ===<br />
[[Image:o10.gif]]<br />
<br />
{{Alg|y' R U R' y R' F R U' R' F' R|OLL}}<br />
{{Alg|y' R U R' y' r' U r U' r' U' r|OLL}}<br />
{{Alg|y' R U R' U R' F R F' R U2 R'|OLL}}<br />
{{Alg|y' R' U' R U R B' R2 U' R U B|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 35 ===<br />
[[Image:o35.gif]]<br />
<br />
{{Alg|R U2 R2' F R F' R U2 R'|OLL}}<br />
{{Alg|y' R' U2 (R l) U' R' U l' U2 R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 37 ===<br />
[[Image:o37.gif]]<br />
<br />
{{Alg|x' U' R U l' U' R' U R|OLL}}<br />
{{Alg|l U' R' U y' R U R' U' z'|OLL}}<br />
{{Alg|y F R U' R' U' R U R' F'|OLL}}<br />
{{Alg|y R' F R F' U' F' U F|OLL}}<br />
{{Alg|y F R' F' R U R U' R'|OLL}}<br />
{{Alg|R B' R' B U B U' B'|OLL}}<br />
<br />
|}<br />
<br />
==Knight move shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 13 ===<br />
[[Image:o13.gif]]<br />
<br />
{{Alg|F U R U' R2 F' R U R U' R'|OLL}}<br />
{{Alg|F U R U2 R' U' R U R' F'|OLL}}<br />
{{Alg|r U' r' U' r U r' y' R' U R|OLL}}<br />
{{Alg|y2 x' R U' R' F' R U R' x y R' U R|OLL}}<br />
{{Alg|y2 f R U R2 U' R' U R U' f'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 14 ===<br />
[[Image:o14.gif]]<br />
<br />
{{Alg|R' F R U R' F' R y' R U' R'|OLL}}<br />
{{Alg|y' R' U' y' R' U R2 B R' U' R' U R|OLL}}<br />
{{Alg|y2 B' U' R' U R2 B R' U' R' U R|OLL}}<br />
{{Alg|y2 x' R U' R' F' R U R' x y R' U R|OLL}}<br />
{{Alg|y2 r' U r U r' U' r y R U' R'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 15 ===<br />
[[Image:o15.gif]]<br />
<br />
{{Alg|y2 l' U' l L' U' L U l' U l|OLL}}<br />
{{Alg|y2 R' F' R L' U' L U R' F R|OLL}}<br />
{{Alg|r' U' r R' U' R U r' U r|OLL}}<br />
<br />
|<br />
<br />
=== OLL 16 ===<br />
[[Image:o16.gif]]<br />
<br />
{{Alg|y2 r U r' R U R' U' r U' r'|OLL}}<br />
{{Alg|y2 r U M U R' U' r U' r'|OLL}}<br />
{{Alg|y2 F' R U R' U' R' F R U' y' R' U R U y R U' R'|OLL}}<br />
<br />
|}<br />
<br />
==Awkward shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 29 ===<br />
[[Image:o29.gif]]<br />
<br />
{{Alg|y2 R' F R F' R U2 R' d' L' U' L|OLL}}<br />
{{Alg|y2 R' F R F' R U2 R' U' y' R' U' R|OLL}}<br />
{{Alg|y2 R2' U' R F R' U R2' U' R' F' R|OLL}}<br />
{{Alg|y (R U R' U') (R U' R' F') U' (F R U R')|OLL}}<br />
{{Alg|y R' U2 R2 U R' U' R' U2 F R F'|OLL}}<br />
{{Alg|M U (R U R' U') (R' F R F') M'|OLL}}<br />
{{Alg|y2 r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 30 ===<br />
[[Image:o30.gif]]<br />
<br />
{{Alg|y2 F R' F R2 U' R' U' R U R' F2|OLL}}<br />
{{Alg|l U' R' U l' U2 d L U L'|OLL}}<br />
{{Alg|f R U R2 U' R' U R2 U' R' f'|OLL}}<br />
{{Alg|y2 F U R U' x' U R' D' R U' R'|OLL}}<br />
{{Alg|R2' U R' B' R U' R2' U R B R'|OLL}}<br />
{{Alg|M U' (L' U' L U) (L F' L' F) M'|OLL}}<br />
{{Alg|y2 M' U' (R' U' R U) x (R U' R' U) M x|OLL}}<br />
{{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 41 ===<br />
[[Image:o41.gif]]<br />
<br />
{{Alg|R U' R' U2 R U y R U' R' y' U' R'|OLL}}<br />
{{Alg|y R U2' R' U' R U' R2 (y) L' U' L U F|OLL}}<br />
{{Alg|y2 F U R U' R' F' R' U2 R U R' U R|OLL}}<br />
{{Alg|y2 R U R' U R U2 R' F R U R' U' F'|OLL}}<br />
{{Alg|y2 r R2 y' R' U' R U y R U' M|OLL}}<br />
{{Alg|y2 R2 L z' l' U' R d L U' L l'|OLL}}<br />
{{Alg|y' (L F' L' F)*2 L U' L' U L U' L|OLL}}<br />
<br />
|<br />
<br />
=== OLL 42 ===<br />
[[Image:o42.gif]]<br />
<br />
{{Alg|r' R2 y R U R' U' y' R' U M'|OLL}}<br />
{{Alg|R' U' R U F R U R' U' R' U R U' F'|OLL}}<br />
{{Alg|L' U L U2 L' U' y' L' U L U F|OLL}}<br />
{{Alg|y R' U2 R U R' U R2 y R U R' U' F'|OLL}}<br />
{{Alg|y (R' F R F')*2 R U R' U' R U R'|OLL}}<br />
{{Alg|y2 L2 R' z r U L' d' R' U R' r|OLL}}<br />
<br />
|}<br />
<br />
==All Corners Oriented==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 28 ===<br />
[[Image:o28.gif]]<br />
<br />
{{Alg|r U R' U' r' R U R U' R'|OLL}}<br />
{{Alg|y r U2 R' U' R U' r' R U R' U R U2 R'|OLL}}<br />
{{Alg|r U R' U R U2 r' R U2 R' U' R U' R'|OLL}}<br />
{{Alg|y r' U' R U' R' U2 r R' U2 R U R' U R|OLL}}<br />
{{Alg|y' r' U' R U M' U' R' U R|OLL}}<br />
{{Alg|r' U2 R U R' U r R' U' R U' R' U2 R|OLL}}<br />
{{Alg|F R U R' U' F' U2 F R U R' U' F'|OLL}}<br />
{{Alg|F R U R' U' F2 L' U' L U F|OLL}}<br />
{{Alg|M U M' U2 M U M'|OLL}}<br />
{{Alg|y M U' M' U2 M U' M'|OLL}}<br />
{{Alg|y2 M' U M U2 M' U M|OLL}}<br />
{{Alg|y' M U M2 U M' U2 M U M |OLL}}<br />
{{Alg|M U M U M' U' M U' M U M |OLL}}<br />
{{Alg|M U M' U M U2 M' U' M U' M'|OLL}}<br />
{{Alg|y M U' M U' M' U M U M U' M |OLL}}<br />
{{Alg|y2 M U' M2 U' M' U2 M U' M |OLL}}<br />
{{Alg|y' M U M' U M U M' U M U M' |OLL}}<br />
{{Alg|y' M' U' M U M U M U' M U' M' U M2|OLL}}<br />
{{Alg|y' M2 U M' U2 M U M U M U2 M' U M|OLL}}<br />
{{Alg|y2 M' U M U' M U' M U M U M' U' M2 |OLL}}<br />
{{Alg|M U' M2 U2 M' U' M U2 M U' M U' M' |OLL}}<br />
{{Alg|y' M' U' F2 M2 U' M U F2 U M2 |OLL}}<br />
{{Alg|y2 M' U F2 M2 U M U' F2 U' M2 |OLL}}<br />
{{Alg|R' F R S R' F' R S' |OLL}}<br />
{{Alg|L2 S U' S' U L2 U S U S' |OLL}}<br />
{{Alg|y L F' L' S' L F L'S |OLL}}<br />
<br />
|<br />
<br />
=== OLL 57 ===<br />
[[Image:o57.gif]]<br />
<br />
{{Alg|R U R' U' r R' U R U' r'|OLL}}<br />
{{Alg|(x') M' U' R U M U' R' U (x)|OLL}}<br />
{{Alg|R' U' R U M U' R' U r|OLL}}<br />
{{Alg|M U M U M U2 M' U M' U M' |OLL}}<br />
{{Alg|M U M U M U2 M' U M' U M' |OLL}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M|OLL}}<br />
{{Alg|M U M' U' M U M' U M U2 M'|OLL}}<br />
{{Alg|M' U' M U M' U' M U' M' U2 M|OLL}}<br />
{{Alg|M U M2 U2 M U M U2 M U' M' U' M'|OLL}}<br />
{{Alg|M' U' M2 U2 M' U' M' U2 M' U M U M|OLL}}<br />
{{Alg|M2 U' M U M' U M' U' M' U' M' U M |OLL}}<br />
{{Alg|M2 U' M' U M U M U' M U' M U M' |OLL}}<br />
{{Alg|y M' U M' U M' U M' U M' U' M' U' M' U' M' |OLL}}<br />
{{Alg|y M' U M U M' U M U' M' U' M|OLL}}<br />
{{Alg|y M' U' M U' M' U' M U M' U M|OLL}}<br />
{{Alg|y M U' M' U' M U' M' U M U M'|OLL}}<br />
{{Alg|y M U M' U M U M' U' M U' M'|OLL}}<br />
{{Alg|M U M' U' F2 M U M' U' F2 |OLL}}<br />
{{Alg|M' U' M U F2 M' U' M U F2|OLL}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M|OLL}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F' |OLL}}<br />
<br />
|}<br />
<br />
== See Also ==<br />
* [[OLL (2x2x2)]]<br />
* [[2-Look OLL]]<br />
* [[PLL]]<br />
<br />
[[Category:Methods]]<br />
[[Category:3x3x3 Methods]]<br />
[[Category:Last Layer Methods]]<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
[[Category:Algorithms]]<br />
[[Category:Sub Steps]]<br />
<br />
== External Links ==<br />
<br />
* [http://www.kungfoomanchu.com/#333oll Printable OLL PDF] (All OLL algs in one page and color coded)<br />
* [http://mordred.awardspace.us/OLLCheatSheet.pdf OLL Cheat Sheet] (Printable PDF of all OLL algorithms on 2 pages. Can be printed Double Sided)</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=OLL&diff=8321
OLL
2010-05-30T12:50:56Z
<p>AndyK: /* "L" shapes */</p>
<hr />
<div>__NOTOC__<br />
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods, such as the [[Fridrich Method]], usally followed by [[PLL]].<br />
<br />
Parentheses in an algorithm signify the triggers of the algorithm. For example, [(R U R') (L' U L)] shows two triggers in the algorithm, even though it is the same as [R U R' L' U L].<br />
<br />
The areas shaded in gray represent the oriented pieces on the top layer. You can tell if a piece is oriented by looking at the top color of the piece in relation to the top center of the cube. If the piece is oriented, the two colors will be the same.<br />
<br />
The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top is.<br />
<br />
<strong>Click on an algorithm (not the camera icon) to watch an animation of it.</strong><br />
<br />
{{OLL}}<br />
<br />
==All edges flipped correctly==<br />
This subgroup, '''OCLL''' (also '''OLL-C''') is used in methods which have oriented the [[LL]] edges earlier in the solve, such as [[ZZ]]. Solving the '''OCLL''' is also the second part of the [[2-look OLL]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== OLL 21 ===<br />
[[Image:o21.gif]]<br />
<br />
{{Alg|R U R' U R U' R' U R U2 R'|OLL}}<br />
{{Alg|y R U2 R' U' R U R' U' R U' R'|OLL}}<br />
{{Alg|y F (R U R' U') (R U R' U') (R U R' U') F'|OLL}}<br />
{{Alg|y F' (L' U' L U) (L' U' L U) (L' U' L U) F|OLL}}<br />
{{Alg|R' U' R U' R' U R U' R' U2 R|OLL}}<br />
{{Alg|L U L' U L U' L' U L U2 L'|OLL}}<br />
{{Alg|y L' U2 L U L' U' L U L' U L|OLL}}<br />
<br />
|<br />
<br />
=== OLL 22 ===<br />
[[Image:o22.gif]]<br />
<br />
{{Alg|R U2 R2' U' R2 U' R2' U2 R|OLL}}<br />
{{Alg|f (R U R' U') f' F (R U R' U') F'|OLL}}<br />
{{Alg|y2 f' (L' U' L U) f F' (L' U' L U) F|OLL}}<br />
{{Alg|y2 L' U2 L2 U L2 U L2 U2 L'|OLL}}<br />
{{Alg|R U2 R2 U' R' U R U' R U' R' y M' U2 M|OLL}}<br />
{{Alg|R' U L U' R U' L' U' L U' L'|OLL}}<br />
{{Alg|y2 L U' R' U L' U R U R' U R|OLL}}<br />
{{Alg|y2 L' U R U' L U' R' U' R U' R'|OLL}}<br />
{{Alg|R U' L' U R' U L U L' U L|OLL}}<br />
{{Alg|R U R' U R U2 R' y' R U R' U R U2 R'|OLL}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 23 ===<br />
[[Image:o23.gif]]<br />
<br />
{{Alg|R2 D' R U2 R' D R U2 R|OLL}}<br />
{{Alg|L2 D L' U2 L D' L' U2 L'|OLL}}<br />
{{Alg|R' U2 R F U' R' U' R U F'|OLL}}<br />
{{Alg|l2 U' R D2 R' U R D2 R|OLL}}<br />
{{Alg|l2' U' z' U R2 U' L U R2 z' L|OLL}}<br />
{{Alg|y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'|OLL}}<br />
{{Alg|y2 R' F2 R U2 R U2 R' F2 R U2 R'|OLL}}<br />
{{Alg|y2 R2 D R' U2 R D' R' U2 R'|OLL}}<br />
{{Alg|(R' U' R U) R' U2 R2 U (R' U R U2 R)|OLL}}<br />
{{Alg|R2' B2 R F2' R' B2 R F2' R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 24 ===<br />
[[Image:o24.gif]]<br />
<br />
{{Alg|r U R' U' L' U R U' x'|OLL}}<br />
{{Alg|r U R' U' r' F R F'|OLL}}<br />
{{Alg|y' F R U R' U' R U' R U' R U R' F'|OLL}}<br />
{{Alg|y' R U R2' U' R2 U' R2' U2' R U' R U' R'|OLL}}<br />
{{Alg|y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')|OLL}}<br />
{{Alg|y x D' R' U R D R' U' R x'|OLL}}<br />
{{Alg|y x D L U' L' D' L U L' x' |OLL}}<br />
{{Alg|y x' U' R' D R U R' D' R x|OLL}}<br />
{{Alg|y2 R' F' r U R U' r' F|OLL}}<br />
{{Alg|y2 l' U' L U R U' r' F|OLL}}<br />
{{Alg|y' l U l' F R B' R' F'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 25 ===<br />
[[Image:o25.gif]]<br />
<br />
{{Alg|y2 R' F R B' R' F' R B|OLL}}<br />
{{Alg|y' F' r U R' U' r' F R|OLL}}<br />
{{Alg|y' x U R' U' L U R U' r'|OLL}}<br />
{{Alg|y R' F' L' F R F' L F|OLL}}<br />
{{Alg|y R' U' (R U R' F') (R U R' U') (R' F R2)|OLL}}<br />
{{Alg|y2 R U2' R D R' U2 R D' R2'|OLL}}<br />
{{Alg|y2 F R' F' r U R U' r'|OLL}}<br />
{{Alg|y2 l' U R D' R' U' R D x'|OLL}}<br />
{{Alg|y2 x' L' U' R' U L U' R U|OLL}}<br />
{{Alg|x' D R U R' D' R U' l'|OLL}}<br />
{{Alg|x' U L' U' R U L U' l'|OLL}}<br />
{{Alg|x' R' D R U' R' D' R U x|OLL}}<br />
{{Alg|x R' U R D' R' U' R D x'|OLL}}<br />
{{Alg|y2 x L U' L' D L U L' D' x'|OLL}}<br />
{{Alg|l' U' L' U R U' L U x'|OLL}}<br />
{{Alg|U r U R U' L' U R' U' x'|OLL}}<br />
{{Alg|R U2 R' U' R U R' U' R U R' U' R U' R'|OLL}}<br />
{{Alg|R U R' U R U' R' U R U' R' U R U2 R'|OLL}}<br />
{{Alg|y2 L' R U R' U' L U R U' R'|OLL}}<br />
{{Alg|F R B R' F' l U' l'|OLL}}<br />
<br />
=== OLL 26 ===<br />
[[Image:o26.gif]]<br />
<br />
{{Alg|y2 R' U' R U' R' U2 R|OLL}}<br />
{{Alg|y' R U2 R' U' R U' R'|OLL}}<br />
{{Alg|y' L U2 L' U' L U' L'|OLL}}<br />
{{Alg|L' U' L U' L' U2 L|OLL}}<br />
{{Alg|L' U R U' L U R'|OLL}}<br />
{{Alg|y' L' U R U' L U R'|OLL}}<br />
{{Alg|y' R U R' R U R' U' R U R' R U R' R U R' |OLL}}<br />
<br />
=== OLL 27 ===<br />
[[Image:o27.gif]]<br />
<br />
{{Alg|R U R' U R U2 R'|OLL}}<br />
{{Alg|R U R' U R U R' R U R'|OLL}}<br />
{{Alg|y' R' U2 R U R' U R|OLL}}<br />
{{Alg|y L' U2 L U L' U L|OLL}}<br />
{{Alg|y2 L U L' U L U2 L'|OLL}}<br />
{{Alg|R U' L' U R' U' L|OLL}}<br />
{{Alg|U2 r2 U R' U' L' U R U' r'|OLL}}<br />
<br />
|}<br />
<br />
==No edges flipped correctly==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 1 === <br />
[[Image:o1.gif]]<br />
<br />
{{Alg|(R U2) (R2' F R F' U2') (R' F R F')|OLL|vidurl=http://www.youtube.com/watch?v=n_2qaxpViEY}}<br />
{{Alg|R U B' R B R2 U' R' F R F'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 2 === <br />
[[Image:o2.gif]]<br />
<br />
{{Alg|F (R U R' U') F' f (R U R' U') f'|OLL|vidurl=http://www.youtube.com/watch?v=YJZ4Vm5_FZI&feature=related}}<br />
{{Alg|y2 F' (L' U' L U) F f' (L' U' L U) f|OLL}}<br />
{{Alg|y r U r' U2 r U2 R' U2 R U' r'|OLL}}<br />
{{Alg|y l' U' l U2 l' U2 L U2 L' U l|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 3 ===<br />
[[Image:o3.gif]]<br />
<br />
{{Alg|y f (R U R' U') f' U' F (R U R' U') F'|OLL}}<br />
{{Alg|y2 r' R2 U R' U r U2 r' U R' r|OLL|vidurl=http://www.youtube.com/watch?v=VIHqsOoGLVc&feature=related}}<br />
{{Alg|y2 M U l' U2 l U L' U L M'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 4 ===<br />
[[Image:o4.gif]]<br />
<br />
{{Alg|f (R U R' U') f' U F (R U R' U') F'|OLL}}<br />
{{Alg|R' U2 x R' U R U' y R' U' R' U R' F|OLL}}<br />
{{Alg|y r' R U' r U2 r' U' R U' R2' r|OLL}}<br />
{{Alg|y M U' r U2' r' U' R U' R' M'|OLL}}<br />
{{Alg|l L2 U' L U' l' U2 l U' M'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 20 ===<br />
[[Image:o20.gif]]<br />
<br />
{{Alg|r' R U R U R' U' r2 R2' U R U' r'|OLL}}<br />
{{Alg|M U R U R' U' M2 U R U' r'|OLL}}<br />
{{Alg|r U R' U' M2 (U R U' R') U' M'|OLL}}<br />
{{Alg|M' U2 M' U2 M' U M U2 M U2 M|OLL}}<br />
{{Alg|M' U2 M U2 M' U M U2 M' U2 M|OLL}}<br />
{{Alg|M U2 M' U2 M U M' U2 M U2 M' U' |OLL}}<br />
{{Alg|M U2 M U2 M U M' U2 M' U2 M' U'|OLL}}<br />
{{Alg|M' U M' U M' U M' U M U M U M U M U|OLL}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M' |OLL}}<br />
{{Alg|M' U' M U' M' U2 M' U' M' U' M U' M' U' M' |OLL}}<br />
{{Alg|M' U' M U2 M' U' M2 U M' U2 M U M'|OLL}}<br />
{{Alg|M d r2 U M' U2 M U r2 S'|OLL}}<br />
{{Alg|M U M F R' F' M2 F R F' U'|OLL}}<br />
{{Alg|R2 U2 R' F2 U2 R2 F' R2 U2 F2 R U2 R2 U' |OLL}}<br />
{{Alg|R B U B' R' F2 B D' L' D B'F2 |OLL}}<br />
{{Alg|L' R' F' U2 L2 U2 L2 U2 L2 F L R |OLL}}<br />
{{Alg|F U2 F' U L' U' B' R' U2 R U' B U L |OLL}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U |OLL}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2 |OLL}}<br />
{{Alg|F' B' R E S R S' R2 E' F B |OLL}}<br />
{{Alg|B' R' B F2 U' R' U' R' F R2 U F2 R |OLL}}<br />
{{Alg|B L B' F2 U L U L F' L2 U' F2 L' |OLL}}<br />
{{Alg|S U S2 U' L U L S L' U' L' |OLL}}<br />
{{Alg|S' U' S2 U R' U' R' S' R U R|OLL}}<br />
{{Alg|(M U) 4 (M' U) 4|OLL}}<br />
<br />
|<br />
<br />
=== OLL 17 ===<br />
[[Image:o17.gif]]<br />
<br />
{{Alg|R U R' U (R' F R F') U2 (R' F R F')|OLL}}<br />
{{Alg|f (R U R' U') y' r' (R U R' U') R' F R F'|OLL}}<br />
{{Alg|F R' F' l R L' U R U' R' U' M'|OLL}}<br />
<br />
=== OLL 18 ===<br />
[[Image:o18.gif]]<br />
<br />
{{Alg|y' r U R' U R U2 r2' U' R U' R' U2 r|OLL}}<br />
{{Alg|y2 F R U R' d R' U2 R' F R F'|OLL}}<br />
{{Alg|R U2 R2 F R F' U2 M' U R U' r'|OLL}}<br />
{{Alg|l' U' r' U2 L U2 L' U2 r U l|OLL}}<br />
{{Alg|y (F R' F' R) U2 (F R' F' R)(U' R U' R') |OLL}}<br />
{{Alg|y x (U R' U' R) B2 (U R' U' R)(B' R B' R') x' |OLL}}<br />
<br />
=== OLL 19 ===<br />
[[Image:o19.gif]]<br />
<br />
{{Alg|r' U2 R U R' U r2 U2' R' U' R U' r'|OLL}}<br />
{{Alg|R' U2 F R U R' U' y' R2 U2 R B|OLL}}<br />
{{Alg|r' R U R U R' U' r R2' F R F'|OLL}}<br />
{{Alg|M U R U R' U' r R2' F R F'|OLL}}<br />
{{Alg|M U R U R' U' M' l' U R U'|OLL}}<br />
<br />
|}<br />
<br />
=="P" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 31 ===<br />
[[Image:o31.gif]]<br />
<br />
{{Alg|L' d' R d L U' L' B' L|OLL}}<br />
{{Alg|S' L' U' L U L F' L' f|OLL}}<br />
{{Alg|y x U R' U' l U R U R' U' R U' R'|OLL}}<br />
{{Alg|y2 R' U' F U R U' R' F' R|OLL}}<br />
{{Alg|L' U' B U L U' L' B' L|OLL}}<br />
<br />
|<br />
<br />
=== OLL 32 ===<br />
[[Image:o32.gif]]<br />
<br />
{{Alg|R d L' d' R' U R B R'|OLL}}<br />
{{Alg|S R U R' U' R' F R f'|OLL}}<br />
{{Alg|y x' U' R U l' U' R' U' R U R' U R|OLL}}<br />
{{Alg|R U B' U' R' U R B R'|OLL}}<br />
{{Alg|y2 F U R U' F' r U R' U' r'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 43 ===<br />
[[Image:o43.gif]]<br />
<br />
{{Alg|f' L' U' L U f|OLL}}<br />
{{Alg|B' U' R' U R B|OLL}}<br />
{{Alg|y2 F' U' L' U L F|OLL}}<br />
{{Alg|U R U R' F' L' U' L F|OLL}}<br />
{{Alg|y2 R' U' F R' F' R U R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 44 ===<br />
[[Image:o44.gif]]<br />
<br />
{{Alg|f R U R' U' f'|OLL}}<br />
{{Alg|y2 F U R U' R' F'|OLL}}<br />
{{Alg|y R U y' L U' L' B'|OLL}}<br />
{{Alg|y F U R' F R F' U' F'|OLL}}<br />
<br />
|}<br />
<br />
=="W" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 36 ===<br />
[[Image:o36.gif]]<br />
<br />
{{Alg|R' U' R U' R' U R U R B' R' B|OLL}}<br />
{{Alg|y2 (L' U' L U') (L' U L U) (L F' L' F)|OLL}}<br />
{{Alg|(R U R' U') y (L' U2' L U) y' (R U R')|OLL}}<br />
<br />
|<br />
<br />
=== OLL 38 ===<br />
[[Image:o38.gif]]<br />
<br />
{{Alg|L U L' U L U' L' U' L' B L B'|OLL}}<br />
{{Alg|y2 R U R' U R U' R' U' R' F R F'|OLL}}<br />
{{Alg|(L' U' L U) y' (R U2 R' U') y (L' U' L)|OLL}}<br />
<br />
|}<br />
<br />
=="L" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== OLL 48 ===<br />
[[Image:o48.gif]]<br />
<br />
{{Alg|F R U R' U' R U R' U' F'|OLL}}<br />
{{Alg|y2 f U R U' R' U R U' R' f'|OLL}}<br />
{{Alg|y r U2 R' U' R U' r' R' U' R U' R' U2 R|OLL}}<br />
{{Alg|y' r' U' R U' R' U2 r R U2 R' U' R U' R'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 47 ===<br />
[[Image:o47.gif]]<br />
<br />
{{Alg|F' L' U' L U L' U' L U F|OLL}}<br />
{{Alg|y' r U R' U R U2 r' R' U2 R U R' U R|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 53 ===<br />
[[Image:o53.gif]]<br />
<br />
{{Alg|l' U' L U' L' U L U' L' U2 l|OLL}}<br />
{{Alg|y' l U2 L U L' U' L U L' U' l'|OLL}}<br />
{{Alg|y2 r' U' R U' R' U R U' R' U2 r|OLL}}<br />
{{Alg|y' r' U2 R U R' U' R U R' U r|OLL}}<br />
{{Alg|y' r U2 R' U' R U' r' R U2 R' U' R U' R'|OLL}}<br />
{{Alg|r U R' U R U2 r' R U R' U R U2 R'|OLL}}<br />
{{Alg|F R U R' U' F' R U R' U' R' F R F'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 54 ===<br />
[[Image:o54.gif]]<br />
<br />
{{Alg|r U R' U R U' R' U R U2 r'|OLL}}<br />
{{Alg|y' r U2 R' U' R U R' U' R U' r'|OLL}}<br />
{{Alg|y2 l U L' U L U' L' U L U2 l' |OLL}}<br />
{{Alg|y l' U2 L U L' U' L U L' U' l|OLL}}<br />
{{Alg|y2 r' U' R U' R' U2 r R' U' R U' R' U2 R|OLL}}<br />
{{Alg|y r' U2 R U R' U r R' U2 R U R' U R|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 49 ===<br />
[[Image:o49.gif]]<br />
<br />
{{Alg|R B' R2 F R2 B R2 F' R|OLL}}<br />
{{Alg|l U' l2' U l2 U l2' U' l|OLL}}<br />
{{Alg|y2 r U' r2 U r2 U r2 U' r|OLL}}<br />
{{Alg|y2 R' F R' F' R2 d2 y' R' F R F'|OLL}}<br />
{{Alg|y2 r U2 R2' U' R2 U' r'R' U2 R|OLL}}<br />
{{Alg|(y' x') U l' U2 R U2 l U2 R' U (x)|OLL}}<br />
{{Alg|y' R' U2 R U R' U R F R U R' U' F'|OLL}}<br />
<br />
|<br />
=== OLL 50 ===<br />
[[Image:o50.gif]]<br />
<br />
{{Alg|y2 R' F R2 B' R2 F' R2 B R'|OLL}}<br />
{{Alg|r' U r2 U' r2' U' r2 U r'|OLL}}<br />
{{Alg|R B' R B R2' U2 F R' F' R|OLL}}<br />
{{Alg|y2 l' U l2 U' l2 U' l2 U l'|OLL}}<br />
{{Alg|r' U2 R2' U R2 U rR U2 R'|OLL}}<br />
{{Alg|y' (R U2 R' U' R U' R') (F R U R' U' F')|OLL}}<br />
{{Alg|(y x') U' r U2 L' U2 r' U2 L U' (x)|OLL}}<br />
<br />
|<br />
}<br />
<br />
=="C" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 34 ===<br />
[[Image:o34.gif]]<br />
<br />
{{Alg|R U R' U' x D' R' U R E' z'|OLL}}<br />
{{Alg|y2 R' U' R U y' x' R U L' U' M'|OLL}}<br />
{{Alg|R U R' U' y' r' U' R U M'|OLL}}<br />
{{Alg|(R U R' U') B' (R' F R F') B|OLL|vidurl=http://www.youtube.com/watch?v=oDAcz_XIljE}}<br />
{{Alg|R U R' d' l' U' L U r' R|OLL}}<br />
{{Alg|R U R2 U' R' F R U R U' F'|OLL}}<br />
{{Alg|y2 F R U R' U' R' F' r U R U' r'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 46 ===<br />
[[Image:o46.gif]]<br />
<br />
{{Alg|R' U' R' F R F' U R|OLL}}<br />
{{Alg|R' U' l' U l F' U R|OLL}}<br />
{{Alg|y F U F l' U' l U' F'|OLL}}<br />
{{Alg|R U l U' R' U F' l'|OLL}}<br />
{{Alg|y2 L F U' R U R' F' L'|OLL}}<br />
{{Alg|R U R'2 U' R' F R U R U' F|OLL}}<br />
<br />
|}<br />
<br />
=="T" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 33 ===<br />
[[Image:o33.gif]]<br />
<br />
{{Alg|R U R' U' R' F R F'|OLL}}<br />
{{Alg|R' U' R U l U' R' U (x)|OLL}}<br />
<br />
|<br />
<br />
=== OLL 45 ===<br />
[[Image:o45.gif]]<br />
<br />
{{Alg|F (R U R' U') F'|OLL}}<br />
{{Alg|f' (U' L' U L) f|OLL}}<br />
{{Alg|y2 f (U R U' R') f'|OLL}}<br />
{{Alg|y2 F' (L' U' L U) F|OLL}}<br />
<br />
|}<br />
<br />
=="I" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 55 ===<br />
[[Image:o55.gif]]<br />
<br />
{{Alg|R U2 R2 U' R U' R' U2 F R F'|OLL}}<br />
{{Alg|R' U2 R2 U R' U R U2 y l' U' l|OLL}}<br />
{{Alg|r U2 R2 F R F' U2 r' F R F'|OLL}}<br />
{{Alg|y R' F R U R' F R U' R' F' R U M' U' M|OLL}}<br />
{{Alg|L F' L' U' L F' L' U L F L' U' M' U M|OLL}}<br />
{{Alg|(L F' L' U' L F' L' U L F L' U' L)(R' F R) L'|OLL}}<br />
{{Alg|R d' R2 D R' U2 R D' R2 d R'|OLL}}<br />
A 4x4x4 special: Note: Rra = (R + r) + (L + l) :: (y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'<br />
<br />
|<br />
<br />
=== OLL 56 ===<br />
[[Image:o56.gif]]<br />
{{Alg|r U r' U R U' R' U R U' R' r U' r' |OLL}}<br />
{{Alg|r' U' r U' R' U R U' R' U R r' U r|OLL}}<br />
{{Alg|L F L' U R U' R' U R U' R' L F' L'|OLL}}<br />
{{Alg|F R U R' U' R F' r U R' U' r'|OLL}}<br />
{{Alg|R B R' U L U' L' U L U' L' R B' R'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 51 ===<br />
[[Image:o51.gif]]<br />
<br />
{{Alg|F U R U' R' U R U' R' F'|OLL}}<br />
{{Alg|y2 f R U R' U' R U R' U' f'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 52 ===<br />
[[Image:o52.gif]]<br />
<br />
{{Alg|R' U' R U' R' d R' U R B|OLL}}<br />
{{Alg|R U R' U R d' R U' R' F'|OLL}}<br />
{{Alg|y2 R' U' x U R' U' R U R' U' R x' U R |OLL}}<br />
{{Alg|(R U R' U R U2 R') U (F U R U' R' F')|OLL}}<br />
<br />
|}<br />
<br />
==Square shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 5 ===<br />
[[Image:o5.gif]]<br />
<br />
{{Alg|(r' U2) (R U R' U r)|OLL|vidurl=http://www.youtube.com/watch?v=beKUmNDs-Zo&feature=related}}<br />
{{Alg|y2 l' U2 L U L' U l'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 6 ===<br />
[[Image:o6.gif]]<br />
<br />
{{Alg|y2 (r U2) (R' U' R U') r'|OLL}}<br />
{{Alg|l U2 L' U' L U' l'|OLL}}<br />
<br />
|}<br />
<br />
==Big lightning bolt shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 39 ===<br />
[[Image:o39.gif]]<br />
<br />
{{Alg|L F' L' U' L U F U' L'|OLL}}<br />
{{Alg|y2 f' L F L' U' L' U L S|OLL}}<br />
{{Alg|y2 R U R' F' U' F U R U2 R'|OLL}}<br />
{{Alg|y2 R B' R' U' R U B U' R'|OLL}}<br />
{{Alg|y2 x' R U' x R' U' R U x' U F' l'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 40 ===<br />
[[Image:o40.gif]]<br />
<br />
{{Alg|R' F R U R' U' F' U R|OLL}}<br />
{{Alg|y2 f R' F' R U R U' R' S'|OLL}}<br />
{{Alg|y2 L' B L U L' U' B' U L|OLL}}<br />
<br />
|}<br />
<br />
<br />
==Small lightning bolt shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 7 ===<br />
[[Image:o7.gif]]<br />
<br />
{{Alg|r U R' U R U2 r'|OLL}}<br />
{{Alg|F R' F' R U2 R U2 R'|OLL}}<br />
{{Alg|L' U2 L U2 L F' L' F|OLL}}<br />
<br />
|<br />
<br />
=== OLL 8 ===<br />
[[Image:o8.gif]]<br />
<br />
{{Alg|y2 r' U' R U' R' U2 r|OLL}}<br />
{{Alg|R U2 R' U2 R' F R F'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 11 ===<br />
[[Image:o11.gif]]<br />
<br />
{{Alg|r' R2 U R' U R U2 R' U r R'|OLL}}<br />
{{Alg|y2 r U R' U R' F R F' R U2 r'|OLL}}<br />
{{Alg|y F' L' U' L U F y F R U R' U' F'|OLL}}<br />
{{Alg|R U R' y' U' R' U' R y U R' F' R U R U' R' F|OLL}}<br />
<br />
|<br />
<br />
=== OLL 12 ===<br />
[[Image:o12.gif]]<br />
<br />
{{Alg|F R U R' U' F' y F R U R' U' F'|OLL}}<br />
{{Alg|y F R U R2 F R y' R2 U R U2 R'|OLL}}<br />
{{Alg|y' r R2 U' R U' R' U2 R U' R r'|OLL}}<br />
<br />
|}<br />
<br />
==Fish shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 9 ===<br />
[[Image:o9.gif]]<br />
<br />
{{Alg|y' R' U' R y' x' R U' R' F R U R' x|OLL}}<br />
{{Alg|y' R' U' R x U' R' U y R U y' R U' x'|OLL}}<br />
{{Alg|y' R U R' U' R' F R2 U R' U' F'|OLL}}<br />
{{Alg|y' R' U' R y r U' r' U r U r|OLL}}<br />
<br />
|<br />
<br />
=== OLL 10 ===<br />
[[Image:o10.gif]]<br />
<br />
{{Alg|y' R U R' y R' F R U' R' F' R|OLL}}<br />
{{Alg|y' R U R' y' r' U r U' r' U' r|OLL}}<br />
{{Alg|y' R U R' U R' F R F' R U2 R'|OLL}}<br />
{{Alg|y' R' U' R U R B' R2 U' R U B|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 35 ===<br />
[[Image:o35.gif]]<br />
<br />
{{Alg|R U2 R2' F R F' R U2 R'|OLL}}<br />
{{Alg|y' R' U2 (R l) U' R' U l' U2 R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 37 ===<br />
[[Image:o37.gif]]<br />
<br />
{{Alg|x' U' R U l' U' R' U R|OLL}}<br />
{{Alg|l U' R' U y' R U R' U' z'|OLL}}<br />
{{Alg|y F R U' R' U' R U R' F'|OLL}}<br />
{{Alg|y R' F R F' U' F' U F|OLL}}<br />
{{Alg|y F R' F' R U R U' R'|OLL}}<br />
{{Alg|R B' R' B U B U' B'|OLL}}<br />
<br />
|}<br />
<br />
==Knight move shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 13 ===<br />
[[Image:o13.gif]]<br />
<br />
{{Alg|F U R U' R2 F' R U R U' R'|OLL}}<br />
{{Alg|F U R U2 R' U' R U R' F'|OLL}}<br />
{{Alg|r U' r' U' r U r' y' R' U R|OLL}}<br />
{{Alg|y2 x' R U' R' F' R U R' x y R' U R|OLL}}<br />
{{Alg|y2 f R U R2 U' R' U R U' f'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 14 ===<br />
[[Image:o14.gif]]<br />
<br />
{{Alg|R' F R U R' F' R y' R U' R'|OLL}}<br />
{{Alg|y' R' U' y' R' U R2 B R' U' R' U R|OLL}}<br />
{{Alg|y2 B' U' R' U R2 B R' U' R' U R|OLL}}<br />
{{Alg|y2 x' R U' R' F' R U R' x y R' U R|OLL}}<br />
{{Alg|y2 r' U r U r' U' r y R U' R'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 15 ===<br />
[[Image:o15.gif]]<br />
<br />
{{Alg|y2 l' U' l L' U' L U l' U l|OLL}}<br />
{{Alg|y2 R' F' R L' U' L U R' F R|OLL}}<br />
{{Alg|r' U' r R' U' R U r' U r|OLL}}<br />
<br />
|<br />
<br />
=== OLL 16 ===<br />
[[Image:o16.gif]]<br />
<br />
{{Alg|y2 r U r' R U R' U' r U' r'|OLL}}<br />
{{Alg|y2 r U M U R' U' r U' r'|OLL}}<br />
{{Alg|y2 F' R U R' U' R' F R U' y' R' U R U y R U' R'|OLL}}<br />
<br />
|}<br />
<br />
==Awkward shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 29 ===<br />
[[Image:o29.gif]]<br />
<br />
{{Alg|y2 R' F R F' R U2 R' d' L' U' L|OLL}}<br />
{{Alg|y2 R' F R F' R U2 R' U' y' R' U' R|OLL}}<br />
{{Alg|y2 R2' U' R F R' U R2' U' R' F' R|OLL}}<br />
{{Alg|y (R U R' U') (R U' R' F') U' (F R U R')|OLL}}<br />
{{Alg|y R' U2 R2 U R' U' R' U2 F R F'|OLL}}<br />
{{Alg|M U (R U R' U') (R' F R F') M'|OLL}}<br />
{{Alg|y2 r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 30 ===<br />
[[Image:o30.gif]]<br />
<br />
{{Alg|y2 F R' F R2 U' R' U' R U R' F2|OLL}}<br />
{{Alg|l U' R' U l' U2 d L U L'|OLL}}<br />
{{Alg|f R U R2 U' R' U R2 U' R' f'|OLL}}<br />
{{Alg|y2 F U R U' x' U R' D' R U' R'|OLL}}<br />
{{Alg|R2' U R' B' R U' R2' U R B R'|OLL}}<br />
{{Alg|M U' (L' U' L U) (L F' L' F) M'|OLL}}<br />
{{Alg|y2 M' U' (R' U' R U) x (R U' R' U) M x|OLL}}<br />
{{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 41 ===<br />
[[Image:o41.gif]]<br />
<br />
{{Alg|R U' R' U2 R U y R U' R' y' U' R'|OLL}}<br />
{{Alg|y R U2' R' U' R U' R2 (y) L' U' L U F|OLL}}<br />
{{Alg|y2 F U R U' R' F' R' U2 R U R' U R|OLL}}<br />
{{Alg|y2 R U R' U R U2 R' F R U R' U' F'|OLL}}<br />
{{Alg|y2 r R2 y' R' U' R U y R U' M|OLL}}<br />
{{Alg|y2 R2 L z' l' U' R d L U' L l'|OLL}}<br />
{{Alg|y' (L F' L' F)*2 L U' L' U L U' L|OLL}}<br />
<br />
|<br />
<br />
=== OLL 42 ===<br />
[[Image:o42.gif]]<br />
<br />
{{Alg|r' R2 y R U R' U' y' R' U M'|OLL}}<br />
{{Alg|R' U' R U F R U R' U' R' U R U' F'|OLL}}<br />
{{Alg|L' U L U2 L' U' y' L' U L U F|OLL}}<br />
{{Alg|y R' U2 R U R' U R2 y R U R' U' F'|OLL}}<br />
{{Alg|y (R' F R F')*2 R U R' U' R U R'|OLL}}<br />
{{Alg|y2 L2 R' z r U L' d' R' U R' r|OLL}}<br />
<br />
|}<br />
<br />
==All Corners Oriented==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 28 ===<br />
[[Image:o28.gif]]<br />
<br />
{{Alg|r U R' U' r' R U R U' R'|OLL}}<br />
{{Alg|y r U2 R' U' R U' r' R U R' U R U2 R'|OLL}}<br />
{{Alg|r U R' U R U2 r' R U2 R' U' R U' R'|OLL}}<br />
{{Alg|y r' U' R U' R' U2 r R' U2 R U R' U R|OLL}}<br />
{{Alg|y' r' U' R U M' U' R' U R|OLL}}<br />
{{Alg|r' U2 R U R' U r R' U' R U' R' U2 R|OLL}}<br />
{{Alg|F R U R' U' F' U2 F R U R' U' F'|OLL}}<br />
{{Alg|F R U R' U' F2 L' U' L U F|OLL}}<br />
{{Alg|M U M' U2 M U M'|OLL}}<br />
{{Alg|y M U' M' U2 M U' M'|OLL}}<br />
{{Alg|y2 M' U M U2 M' U M|OLL}}<br />
{{Alg|y' M U M2 U M' U2 M U M |OLL}}<br />
{{Alg|M U M U M' U' M U' M U M |OLL}}<br />
{{Alg|M U M' U M U2 M' U' M U' M'|OLL}}<br />
{{Alg|y M U' M U' M' U M U M U' M |OLL}}<br />
{{Alg|y2 M U' M2 U' M' U2 M U' M |OLL}}<br />
{{Alg|y' M U M' U M U M' U M U M' |OLL}}<br />
{{Alg|y' M' U' M U M U M U' M U' M' U M2|OLL}}<br />
{{Alg|y' M2 U M' U2 M U M U M U2 M' U M|OLL}}<br />
{{Alg|y2 M' U M U' M U' M U M U M' U' M2 |OLL}}<br />
{{Alg|M U' M2 U2 M' U' M U2 M U' M U' M' |OLL}}<br />
{{Alg|y' M' U' F2 M2 U' M U F2 U M2 |OLL}}<br />
{{Alg|y2 M' U F2 M2 U M U' F2 U' M2 |OLL}}<br />
{{Alg|R' F R S R' F' R S' |OLL}}<br />
{{Alg|L2 S U' S' U L2 U S U S' |OLL}}<br />
{{Alg|y L F' L' S' L F L'S |OLL}}<br />
<br />
|<br />
<br />
=== OLL 57 ===<br />
[[Image:o57.gif]]<br />
<br />
{{Alg|R U R' U' r R' U R U' r'|OLL}}<br />
{{Alg|(x') M' U' R U M U' R' U (x)|OLL}}<br />
{{Alg|R' U' R U M U' R' U r|OLL}}<br />
{{Alg|M U M U M U2 M' U M' U M' |OLL}}<br />
{{Alg|M U M U M U2 M' U M' U M' |OLL}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M|OLL}}<br />
{{Alg|M U M' U' M U M' U M U2 M'|OLL}}<br />
{{Alg|M' U' M U M' U' M U' M' U2 M|OLL}}<br />
{{Alg|M U M2 U2 M U M U2 M U' M' U' M'|OLL}}<br />
{{Alg|M' U' M2 U2 M' U' M' U2 M' U M U M|OLL}}<br />
{{Alg|M2 U' M U M' U M' U' M' U' M' U M |OLL}}<br />
{{Alg|M2 U' M' U M U M U' M U' M U M' |OLL}}<br />
{{Alg|y M' U M' U M' U M' U M' U' M' U' M' U' M' |OLL}}<br />
{{Alg|y M' U M U M' U M U' M' U' M|OLL}}<br />
{{Alg|y M' U' M U' M' U' M U M' U M|OLL}}<br />
{{Alg|y M U' M' U' M U' M' U M U M'|OLL}}<br />
{{Alg|y M U M' U M U M' U' M U' M'|OLL}}<br />
{{Alg|M U M' U' F2 M U M' U' F2 |OLL}}<br />
{{Alg|M' U' M U F2 M' U' M U F2|OLL}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M|OLL}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F' |OLL}}<br />
<br />
|}<br />
<br />
== See Also ==<br />
* [[OLL (2x2x2)]]<br />
* [[2-Look OLL]]<br />
* [[PLL]]<br />
<br />
[[Category:Methods]]<br />
[[Category:3x3x3 Methods]]<br />
[[Category:Last Layer Methods]]<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
[[Category:Algorithms]]<br />
[[Category:Sub Steps]]<br />
<br />
== External Links ==<br />
<br />
* [http://www.kungfoomanchu.com/#333oll Printable OLL PDF] (All OLL algs in one page and color coded)<br />
* [http://mordred.awardspace.us/OLLCheatSheet.pdf OLL Cheat Sheet] (Printable PDF of all OLL algorithms on 2 pages. Can be printed Double Sided)</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=User:AndyK&diff=8320
User:AndyK
2010-05-30T01:21:01Z
<p>AndyK: Created page with 'Hello world!'</p>
<hr />
<div>Hello world!</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=User_talk:AndyK&diff=8319
User talk:AndyK
2010-05-30T01:20:38Z
<p>AndyK: </p>
<hr />
<div>Hello world!</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=User_talk:AndyK&diff=8318
User talk:AndyK
2010-05-30T01:19:19Z
<p>AndyK: Created page with 'Hello World.'</p>
<hr />
<div>Hello World.</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=List_of_cubing_websites&diff=8317
List of cubing websites
2010-05-30T01:18:34Z
<p>AndyK: </p>
<hr />
<div>* [http://www.speedcubing.com speedcubing.com] comprehensive cubing site, maintained by well-known cubers inc. Chris Hardwick and Ton Dennenbroek.<br />
* [http://www.speedcubing.com.pl speedcubing.com.pl] speedcubing.com's polish cousin.<br />
* [http://twistypuzzles.com/forum/ twistypuzzles.com] Forum for puzzle collectors and designers.<br />
* [http://www.jaapsch.net/puzzles/ jaapsch.net] Jaap's Puzzle Page. A huge collection of info on many different puzzles and solving methods.<br />
* [http://rubikscube.info/ rubikscube.info] A great resource for CF methods. Info on Ortega, Waterman and beginner CF. Site by Josef Jelinek.<br />
* [http://www.ws.binghamton.edu/fridrich/ Jessica Fridrich's] cubing site. One of the original homes of the Fridrich/CFOP method.<br />
* [http://lar5.com/cube/ Lars Petrus's] cubing site. Home of the Petrus method.<br />
* [http://grrroux.free.fr/ garrroux.free.fr] Gilles Roux's cubing site. Home of the Roux method.<br />
* [http://www.stefan-pochmann.info/spocc stefan-pochmann.info] Stefan Pochmann's cubing site. Info on blindsolving methods and other tools.<br />
* [http://www.speedcubes.net/ speedcubes.net] Stefan Pochmann's comprehensive site for cube information<br />
* [http://www.cubezone.be/ cubezone.be] Lars Vandenbergh's CubeZone. Algorithms, videos etc.<br />
* [http://www.cubefreak.net/ cubefreak.net] Site by Shotaro Makisumi. Lots of info on speed and blind solving methods.<br />
* [http://www.badmephisto.com/ badmephsto.dyndns.org] Badmephisto's cubing site. (experiences regular down-time)<br />
* [http://www.mustcube.net mustcube.net] Site by Per Kristen Fredlund (prominent FMC cuber). Mostly incomplete. Holds the weekly online FMC challenge.<br />
* [http://www.cubestation.co.uk/ cubestation.co.uk] Dan Harris's new cubing site.<br />
* [http://strangepuzzle.com/ strangepuzzle.com] Chris Hunt's cubing page. Hosts a cubing video database, timer and other tools.<br />
* [http://www.erikku.110mb.com/ erikku.110mb.com] Erik Akkersdijk's cubing site. Cubing info from a world class cuber.<br />
* [http://www.kungfoomanchu.com/ kungfoomanchu.com] Andy Klise's Printable PDF guides for twisty puzzles<br />
* [http://cube.garron.us/ Lucas Garron]<br />
* [http://jmbaum.110mb.com/ Jason Baum]<br />
* [http://mzrg.com Michael Gottlieb]<br />
* [http://pagesperso-orange.fr/absolutemind/ Sébastien Felix's] site, has some nice OH algorithms<br />
* [http://solvethecube.110mb.com/ Joël van Noort]<br />
* [http://www.zborowski.republika.pl/ Zbigniew Zborowski's] site. Home of the ZB method.<br />
* [http://www.speedcubing101.com/ Anthony Brooks (Anthony Searle)]<br />
* [http://www.cutex.info/ cutex.info] Yu Nakajima's Cubing Site (in Japanese). [http://translate.google.co.uk/translate?hl=en&sl=ja&tl=en&u=http%3A%2F%2Fwww.cutex.info English Translation] (site down)<br />
*[http://cubersuncensored.proboards.com/index.cgi CubersUncensored.com] A relatively new forum. Mostly related to discussions not allowed on other speed-cubing sites<br />
== See Also ==<br />
* [[YouTube Cubers]]<br />
* [[Rubik's Cube Celebrities]]<br />
<br />
[[Category:Cubing Resources]]<br />
[[Category:Cubing Community]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=List_of_cubing_websites&diff=8316
List of cubing websites
2010-05-30T01:16:52Z
<p>AndyK: </p>
<hr />
<div>* [http://www.speedcubing.com speedcubing.com] comprehensive cubing site, maintained by well-known cubers inc. Chris Hardwick and Ton Dennenbroek.<br />
* [http://www.speedcubing.com.pl speedcubing.com.pl] speedcubing.com's polish cousin.<br />
* [http://twistypuzzles.com/forum/ twistypuzzles.com] Forum for puzzle collectors and designers.<br />
* [http://www.jaapsch.net/puzzles/ jaapsch.net] Jaap's Puzzle Page. A huge collection of info on many different puzzles and solving methods.<br />
* [http://rubikscube.info/ rubikscube.info] A great resource for CF methods. Info on Ortega, Waterman and beginner CF. Site by Josef Jelinek.<br />
* [http://www.ws.binghamton.edu/fridrich/ Jessica Fridrich's] cubing site. One of the original homes of the Fridrich/CFOP methods.<br />
* [http://lar5.com/cube/ Lars Petrus's] cubing site. Home of the Petrus method.<br />
* [http://grrroux.free.fr/ garrroux.free.fr] Gilles Roux's cubing site. Home of the Roux method.<br />
* [http://www.stefan-pochmann.info/spocc stefan-pochmann.info] Stefan Pochmann's cubing site. Info on blindsolving methods and other tools.<br />
* [http://www.speedcubes.net/ speedcubes.net] Stefan Pochmann's comprehensive site for cube information<br />
* [http://www.cubezone.be/ cubezone.be] Lars Vandenbergh's CubeZone. Algorithms, videos etc.<br />
* [http://www.cubefreak.net/ cubefreak.net] Site by Shotaro Makisumi. Lots of info on speed and blind solving methods.<br />
* [http://www.badmephisto.com/ badmephsto.dyndns.org] Badmephisto's cubing site. (experiences regular down-time)<br />
* [http://www.mustcube.net mustcube.net] Site by Per Kristen Fredlund (prominent FMC cuber). Mostly incomplete. Holds the weekly online FMC challenge.<br />
* [http://www.cubestation.co.uk/ cubestation.co.uk] Dan Harris's new cubing site.<br />
* [http://strangepuzzle.com/ strangepuzzle.com] Chris Hunt's cubing page. Hosts a cubing video database, timer and other tools.<br />
* [http://www.erikku.110mb.com/ erikku.110mb.com] Erik Akkersdijk's cubing site. Cubing info from a world class cuber.<br />
* [http://www.kungfoomanchu.com/ kungfoomanchu.com] Andy Klise's Printable PDF guides for twisty puzzles<br />
* [http://cube.garron.us/ Lucas Garron]<br />
* [http://jmbaum.110mb.com/ Jason Baum]<br />
* [http://mzrg.com Michael Gottlieb]<br />
* [http://pagesperso-orange.fr/absolutemind/ Sébastien Felix's] site, has some nice OH algorithms<br />
* [http://solvethecube.110mb.com/ Joël van Noort]<br />
* [http://www.zborowski.republika.pl/ Zbigniew Zborowski's] site. Home of the ZB method.<br />
* [http://www.speedcubing101.com/ Anthony Brooks (Anthony Searle)]<br />
* [http://www.cutex.info/ cutex.info] Yu Nakajima's Cubing Site (in Japanese). [http://translate.google.co.uk/translate?hl=en&sl=ja&tl=en&u=http%3A%2F%2Fwww.cutex.info English Translation] (site down)<br />
*[http://cubersuncensored.proboards.com/index.cgi CubersUncensored.com] A relatively new forum. Mostly related to discussions not allowed on other speed-cubing sites<br />
== See Also ==<br />
* [[YouTube Cubers]]<br />
* [[Rubik's Cube Celebrities]]<br />
<br />
[[Category:Cubing Resources]]<br />
[[Category:Cubing Community]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=List_of_cubing_websites&diff=8315
List of cubing websites
2010-05-30T01:11:53Z
<p>AndyK: </p>
<hr />
<div>* [http://www.speedcubing.com speedcubing.com] comprehensive cubing site, maintained by well-known cubers inc. Chris Hardwick and Ton Dennenbroek.<br />
* [http://www.speedcubing.com.pl speedcubing.com.pl] speedcubing.com's polish cousin.<br />
* [http://twistypuzzles.com/forum/ twistypuzzles.com] Forum for puzzle collectors and designers.<br />
* [http://www.jaapsch.net/puzzles/ jaapsch.net] Jaap's Puzzle Page. A huge collection of info on many different puzzles and solving methods.<br />
* [http://rubikscube.info/ rubikscube.info] A great resource for CF methods. Info on Ortega, Waterman and beginner CF. Site by Josef Jelinek.<br />
* [http://grrroux.free.fr/ garrroux.free.fr] Gilles Roux's cubing site. Home of the Roux method.<br />
* [http://www.stefan-pochmann.info/spocc stefan-pochmann.info] Stefan Pochmann's cubing site. Info on blindsolving methods and other tools.<br />
* [http://www.speedcubes.net/ speedcubes.net] Stefan Pochmann's comprehensive site for cube information<br />
* [http://www.cubezone.be/ cubezone.be] Lars Vandenbergh's CubeZone. Algorithms, videos etc.<br />
* [http://www.cubefreak.net/ cubefreak.net] Site by Shotaro Makisumi. Lots of info on speed and blind solving methods.<br />
* [http://www.badmephisto.com/ badmephsto.dyndns.org] Badmephisto's cubing site. (experiences regular down-time)<br />
* [http://www.mustcube.net mustcube.net] Site by Per Kristen Fredlund (prominent FMC cuber). Mostly incomplete. Holds the weekly online FMC challenge.<br />
* [http://www.cubestation.co.uk/ cubestation.co.uk] Dan Harris's new cubing site.<br />
* [http://strangepuzzle.com/ strangepuzzle.com] Chris Hunt's cubing page. Hosts a cubing video database, timer and other tools.<br />
* [http://www.erikku.110mb.com/ erikku.110mb.com] Erik Akkersdijk's cubing site. Cubing info from a world class cuber.<br />
* [http://www.kungfoomanchu.com/ kungfoomanchu.com] Andy Klise's Printable PDF guides for twisty puzzles<br />
* [http://cube.garron.us/ Lucas Garron]<br />
* [http://jmbaum.110mb.com/ Jason Baum]<br />
* [http://lar5.com/cube/ Lars Petrus]<br />
* [http://mzrg.com Michael Gottlieb]<br />
* [http://pagesperso-orange.fr/absolutemind/ Sébastien Felix]<br />
* [http://solvethecube.110mb.com/ Joël van Noort ]<br />
* [http://www.ws.binghamton.edu/fridrich/ Jessica Fridrich]<br />
* [http://www.zborowski.republika.pl/Zbigniew Zborowski]<br />
* [http://www.speedcubing101.com/ Anthony Brooks (Anthony Searle)]<br />
* [http://www.cutex.info/ cutex.info] Yu Nakajima's Cubing Site (in Japanese). [http://translate.google.co.uk/translate?hl=en&sl=ja&tl=en&u=http%3A%2F%2Fwww.cutex.info English Translation] (site down)<br />
*[http://cubersuncensored.proboards.com/index.cgi CubersUncensored.com] A relatively new forum. Mostly related to discussions not allowed on other speed-cubing sites<br />
== See Also ==<br />
* [[YouTube Cubers]]<br />
* [[Rubik's Cube Celebrities]]<br />
<br />
[[Category:Cubing Resources]]<br />
[[Category:Cubing Community]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Template:OLL&diff=8314
Template:OLL
2010-05-30T00:49:27Z
<p>AndyK: </p>
<hr />
<div>{| align="center" cellpadding="4px" cellspacing="0px" border="1px"<br />
| bgcolor="#DDDDDD"|<br />
<big>'''OLL'''</big><br />
<br />
<center>[[Template:OLL|<small>edit</small>]]</center><br />
|<br />
* [[OLL#All edges flipped correctly| All edges flipped correctly <small>(OCLL1-OCLL8)</small> ]]<br />
* [[OLL#No edges flipped correctly| No edges flipped correctly <small>(O1-O8)</small> ]]<br />
* [[OLL#All Corners Oriented| All Corners Oriented <small>(E1-E2)</small> ]]<br />
|<br />
* [[OLL#"P" shapes| "P" shapes <small>(P1-P4)</small> ]]<br />
* [[OLL#"W" shapes| "W" shapes <small>(W1-W2)</small> ]]<br />
* [[OLL#"L" shapes| "L" shapes <small>(L1-L6)</small> ]]<br />
* [[OLL#"C" shapes| "C" shapes <small>(C1-C2)</small> ]]<br />
* [[OLL#"T" shapes| "T" shapes <small>(T1-T2)</small> ]]<br />
* [[OLL#"I" shapes| "I" shapes <small>(I1-I4)</small> ]]<br />
|<br />
* [[OLL#Square shapes| Square shapes <small>(S1-S2)</small> ]]<br />
* [[OLL#Big lightning bolt shapes| Big lightning bolt shapes <small>(L5-L6)</small> ]]<br />
* [[OLL#Small lightning bolt shapes| Small lightning bolt shapes <small>(L1-L4)</small> ]]<br />
* [[OLL#Fish shapes| Fish shapes <small>(F1-F4)</small> ]]<br />
* [[OLL#Knight move shapes| Knight move shapes <small>(K1-K4)</small> ]]<br />
* [[OLL#Awkward shapes| Awkward shapes <small>(A1-A4)</small> ]]<br />
|}</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Template:OLL&diff=8313
Template:OLL
2010-05-30T00:47:32Z
<p>AndyK: Undo revision 8310 by AndyK (Talk)</p>
<hr />
<div>{| align="center" cellpadding="4px" cellspacing="0px" border="1px"<br />
| bgcolor="#DDDDDD"|<br />
<big>'''OLL'''</big><br />
| bgcolor="#EEEEEE"|<br />
[[OLL#All edges flipped correctly| All edges flipped correctly ]] | <br />
[[OLL#No edges flipped correctly| No edges flipped correctly ]] | <br />
[[OLL#"P" shapes| "P" shapes ]] | <br />
[[OLL#"W" shapes| "W" shapes ]] | <br />
[[OLL#"L" shapes| "L" shapes ]] | <br />
[[OLL#"C" shapes| "C" shapes ]] | <br />
[[OLL#"T" shapes| "T" shapes ]] | <br />
[[OLL#"I" shapes| "I" shapes ]] | <br />
[[OLL#Square shapes| Square shapes ]] | <br />
[[OLL#Big lightning bolt shapes| Big lightning bolt shapes ]] | <br />
[[OLL#Small lightning bolt shapes| Small lightning bolt shapes ]] | <br />
[[OLL#Fish shapes| Fish shapes ]] | <br />
[[OLL#Knight move shapes| Knight move shapes ]] | <br />
[[OLL#Awkward shapes| Awkward shapes ]] | <br />
[[OLL#All Corners Oriented| All Corners Oriented ]] | <br />
[[Template:OLL|<small>edit</small>]]<br />
|}</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=8312
First Two Layers
2010-05-30T00:45:05Z
<p>AndyK: </p>
<hr />
<div>__NOTOC__<br />
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]<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 />
<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 />
Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions<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 />
<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 />
<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
<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 />
<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 />
<br />
<br />
|-valign="top"<br />
|<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') 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 />
<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') d' (L' U' L)|F2L}}<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
<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 />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
<br />
|-valign="top"<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|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y (R U R')|F2L}}<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 />
<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 R') U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
<br />
{{Alg|y' U2 (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|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<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 />
|-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|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 />
Back Right slot open - (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 />
<br />
|-valign="top"<br />
|<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|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 />
<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 />
|<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 />
|<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 />
|-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 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 />
|-valign="top"<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 />
|<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 />
|-valign="top"<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|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R') d2 y (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|(R U R' U')(R U' R') U2 (F' U' 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://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 />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Template:F2L&diff=8311
Template:F2L
2010-05-30T00:44:26Z
<p>AndyK: </p>
<hr />
<div>{| align="center" cellpadding="4px" cellspacing="0px" border="1px"<br />
| bgcolor="#DDDDDD"|<br />
<big>'''F2L'''</big><br />
<center>[[Template:F2L|<small>edit</small>]]</center><br />
| |<br />
* [[F2L#Easy Cases| Easy Cases ]]<br />
* [[F2L#Reposition Edge| Reposition Edge ]]<br />
* [[F2L#Reposition Edge and Flip Corner| Reposition Edge and Flip Corner ]]<br />
|<br />
* [[F2L#Split Pair by Going Over| Split Pair by Going Over ]]<br />
* [[F2L#Pair Made on Side| Pair Made on Side ]]<br />
* [[F2L#Weird| Weird Cases ]]<br />
|<br />
* [[F2L#Corner in Place, Edge in U Face| Corner in Place, Edge in U Face ]]<br />
* [[F2L#Edge in Place, Corner in U face| Edge in Place, Corner in U face ]]<br />
* [[F2L#Edge and Corner in Place| Edge and Corner in Place ]]<br />
|}</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Template:OLL&diff=8310
Template:OLL
2010-05-30T00:40:35Z
<p>AndyK: </p>
<hr />
<div>{| align="center" cellpadding="4px" cellspacing="0px" border="1px"<br />
| bgcolor="#DDDDDD"|<br />
<big>'''OLL'''</big><br />
<br />
<center>[[Template:OLL|<small>edit</small>]]</center><br />
| bgcolor="#EEEEEE"|<br />
|<br />
* [[OLL#All edges flipped correctly| All edges flipped correctly <small>(OCLL1-OCLL8)</small> ]]<br />
* [[OLL#No edges flipped correctly| No edges flipped correctly <small>(O1-O8)</small> ]]<br />
* [[OLL#All Corners Oriented| All Corners Oriented <small>(E1-E2)</small> ]]<br />
|<br />
* [[OLL#"P" shapes| "P" shapes <small>(P1-P4)</small> ]]<br />
* [[OLL#"W" shapes| "W" shapes <small>(W1-W2)</small> ]]<br />
* [[OLL#"L" shapes| "L" shapes <small>(L1-L6)</small> ]]<br />
* [[OLL#"C" shapes| "C" shapes <small>(C1-C2)</small> ]]<br />
* [[OLL#"T" shapes| "T" shapes <small>(T1-T2)</small> ]]<br />
* [[OLL#"I" shapes| "I" shapes <small>(I1-I4)</small> ]]<br />
|<br />
* [[OLL#Square shapes| Square shapes <small>(S1-S2)</small> ]]<br />
* [[OLL#Big lightning bolt shapes| Big lightning bolt shapes <small>(L5-L6)</small> ]]<br />
* [[OLL#Small lightning bolt shapes| Small lightning bolt shapes <small>(L1-L4)</small> ]]<br />
* [[OLL#Fish shapes| Fish shapes <small>(F1-F4)</small> ]]<br />
* [[OLL#Knight move shapes| Knight move shapes <small>(K1-K4)</small> ]]<br />
* [[OLL#Awkward shapes| Awkward shapes <small>(A1-A4)</small> ]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=OLL&diff=8308
OLL
2010-05-29T23:28:25Z
<p>AndyK: </p>
<hr />
<div>__NOTOC__<br />
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods, such as the [[Fridrich Method]], usally followed by [[PLL]].<br />
<br />
Parentheses in an algorithm signify the triggers of the algorithm. For example, [(R U R') (L' U L)] shows two triggers in the algorithm, even though it is the same as [R U R' L' U L].<br />
<br />
The areas shaded in gray represent the oriented pieces on the top layer. You can tell if a piece is oriented by looking at the top color of the piece in relation to the top center of the cube. If the piece is oriented, the two colors will be the same.<br />
<br />
The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top is.<br />
<br />
<strong>Click on an algorithm (not the camera icon) to watch an animation of it.</strong><br />
<br />
{{OLL}}<br />
<br />
==All edges flipped correctly==<br />
This subgroup, '''OCLL''' (also '''OLL-C''') is used in methods which have oriented the [[LL]] edges earlier in the solve, such as [[ZZ]]. Solving the '''OCLL''' is also the second part of the [[2-look OLL]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== OLL 21 ===<br />
[[Image:o21.gif]]<br />
<br />
{{Alg|R U R' U R U' R' U R U2 R'|OLL}}<br />
{{Alg|y R U2 R' U' R U R' U' R U' R'|OLL}}<br />
{{Alg|y F (R U R' U') (R U R' U') (R U R' U') F'|OLL}}<br />
{{Alg|y F' (L' U' L U) (L' U' L U) (L' U' L U) F|OLL}}<br />
{{Alg|R' U' R U' R' U R U' R' U2 R|OLL}}<br />
{{Alg|L U L' U L U' L' U L U2 L'|OLL}}<br />
{{Alg|y L' U2 L U L' U' L U L' U L|OLL}}<br />
<br />
|<br />
<br />
=== OLL 22 ===<br />
[[Image:o22.gif]]<br />
<br />
{{Alg|R U2 R2' U' R2 U' R2' U2 R|OLL}}<br />
{{Alg|f (R U R' U') f' F (R U R' U') F'|OLL}}<br />
{{Alg|y2 f' (L' U' L U) f F' (L' U' L U) F|OLL}}<br />
{{Alg|y2 L' U2 L2 U L2 U L2 U2 L'|OLL}}<br />
{{Alg|R U2 R2 U' R' U R U' R U' R' y M' U2 M|OLL}}<br />
{{Alg|R' U L U' R U' L' U' L U' L'|OLL}}<br />
{{Alg|y2 L U' R' U L' U R U R' U R|OLL}}<br />
{{Alg|y2 L' U R U' L U' R' U' R U' R'|OLL}}<br />
{{Alg|R U' L' U R' U L U L' U L|OLL}}<br />
{{Alg|R U R' U R U2 R' y' R U R' U R U2 R'|OLL}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 23 ===<br />
[[Image:o23.gif]]<br />
<br />
{{Alg|R2 D' R U2 R' D R U2 R|OLL}}<br />
{{Alg|L2 D L' U2 L D' L' U2 L'|OLL}}<br />
{{Alg|R' U2 R F U' R' U' R U F'|OLL}}<br />
{{Alg|l2 U' R D2 R' U R D2 R|OLL}}<br />
{{Alg|l2' U' z' U R2 U' L U R2 z' L|OLL}}<br />
{{Alg|y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'|OLL}}<br />
{{Alg|y2 R' F2 R U2 R U2 R' F2 R U2 R'|OLL}}<br />
{{Alg|y2 R2 D R' U2 R D' R' U2 R'|OLL}}<br />
{{Alg|(R' U' R U) R' U2 R2 U (R' U R U2 R)|OLL}}<br />
{{Alg|R2' B2 R F2' R' B2 R F2' R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 24 ===<br />
[[Image:o24.gif]]<br />
<br />
{{Alg|r U R' U' L' U R U' x'|OLL}}<br />
{{Alg|r U R' U' r' F R F'|OLL}}<br />
{{Alg|y' F R U R' U' R U' R U' R U R' F'|OLL}}<br />
{{Alg|y' R U R2' U' R2 U' R2' U2' R U' R U' R'|OLL}}<br />
{{Alg|y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')|OLL}}<br />
{{Alg|y x D' R' U R D R' U' R x'|OLL}}<br />
{{Alg|y x D L U' L' D' L U L' x' |OLL}}<br />
{{Alg|y x' U' R' D R U R' D' R x|OLL}}<br />
{{Alg|y2 R' F' r U R U' r' F|OLL}}<br />
{{Alg|y2 l' U' L U R U' r' F|OLL}}<br />
{{Alg|y' l U l' F R B' R' F'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 25 ===<br />
[[Image:o25.gif]]<br />
<br />
{{Alg|y2 R' F R B' R' F' R B|OLL}}<br />
{{Alg|y' F' r U R' U' r' F R|OLL}}<br />
{{Alg|y' x U R' U' L U R U' r'|OLL}}<br />
{{Alg|y R' F' L' F R F' L F|OLL}}<br />
{{Alg|y R' U' (R U R' F') (R U R' U') (R' F R2)|OLL}}<br />
{{Alg|y2 R U2' R D R' U2 R D' R2'|OLL}}<br />
{{Alg|y2 F R' F' r U R U' r'|OLL}}<br />
{{Alg|y2 l' U R D' R' U' R D x'|OLL}}<br />
{{Alg|y2 x' L' U' R' U L U' R U|OLL}}<br />
{{Alg|x' D R U R' D' R U' l'|OLL}}<br />
{{Alg|x' U L' U' R U L U' l'|OLL}}<br />
{{Alg|x' R' D R U' R' D' R U x|OLL}}<br />
{{Alg|x' D R U R' U' D' U R U' R' x|OLL}}<br />
{{Alg|x R' U R D' R' U' R D x'|OLL}}<br />
{{Alg|y2 x L U' L' D L U L' D' x'|OLL}}<br />
{{Alg|l' U' L' U R U' L U x'|OLL}}<br />
{{Alg|U r U R U' L' U R' U' x'|OLL}}<br />
{{Alg|R U2 R' U' R U R' U' R U R' U' R U' R'|OLL}}<br />
{{Alg|R U R' U R U' R' U R U' R' U R U2 R'|OLL}}<br />
{{Alg|y2 L' R U R' U' L U R U' R'|OLL}}<br />
{{Alg|F R B R' F' l U' l'|OLL}}<br />
<br />
=== OLL 26 ===<br />
[[Image:o26.gif]]<br />
<br />
{{Alg|y2 R' U' R U' R' U2 R|OLL}}<br />
{{Alg|y' R U2 R' U' R U' R'|OLL}}<br />
{{Alg|y' L U2 L' U' L U' L'|OLL}}<br />
{{Alg|L' U' L U' L' U2 L|OLL}}<br />
{{Alg|L' U R U' L U R'|OLL}}<br />
{{Alg|y' L' U R U' L U R'|OLL}}<br />
{{Alg|y' R U R' R U R' U' R U R' R U R' R U R' |OLL}}<br />
<br />
=== OLL 27 ===<br />
[[Image:o27.gif]]<br />
<br />
{{Alg|R U R' U R U2 R'|OLL}}<br />
{{Alg|R U R' U R U R' R U R'|OLL}}<br />
{{Alg|y' R' U2 R U R' U R|OLL}}<br />
{{Alg|y L' U2 L U L' U L|OLL}}<br />
{{Alg|y2 L U L' U L U2 L'|OLL}}<br />
{{Alg|R U' L' U R' U' L|OLL}}<br />
{{Alg|U2 r2 U R' U' L' U R U' r'|OLL}}<br />
<br />
|}<br />
<br />
==No edges flipped correctly==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 1 === <br />
[[Image:o1.gif]]<br />
<br />
{{Alg|(R U2) (R2' F R F' U2') (R' F R F')|OLL|vidurl=http://www.youtube.com/watch?v=n_2qaxpViEY}}<br />
{{Alg|R U B' R B R2 U' R' F R F'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 2 === <br />
[[Image:o2.gif]]<br />
<br />
{{Alg|F (R U R' U') F' f (R U R' U') f'|OLL|vidurl=http://www.youtube.com/watch?v=YJZ4Vm5_FZI&feature=related}}<br />
{{Alg|y2 F' (L' U' L U) F f' (L' U' L U) f|OLL}}<br />
{{Alg|y r U r' U2 r U2 R' U2 R U' r'|OLL}}<br />
{{Alg|y l' U' l U2 l' U2 L U2 L' U l|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 3 ===<br />
[[Image:o3.gif]]<br />
<br />
{{Alg|y f (R U R' U') f' U' F (R U R' U') F'|OLL}}<br />
{{Alg|y2 r' R2 U R' U r U2 r' U R' r|OLL|vidurl=http://www.youtube.com/watch?v=VIHqsOoGLVc&feature=related}}<br />
{{Alg|y2 M U l' U2 l U L' U L M'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 4 ===<br />
[[Image:o4.gif]]<br />
<br />
{{Alg|f (R U R' U') f' U F (R U R' U') F'|OLL}}<br />
{{Alg|R' U2 x R' U R U' y R' U' R' U R' F|OLL}}<br />
{{Alg|y r' R U' r U2 r' U' R U' R2' r|OLL}}<br />
{{Alg|y M U' r U2' r' U' R U' R' M'|OLL}}<br />
{{Alg|l L2 U' L U' l' U2 l U' M'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 20 ===<br />
[[Image:o20.gif]]<br />
<br />
{{Alg|r' R U R U R' U' r2 R2' U R U' r'|OLL}}<br />
{{Alg|M U R U R' U' M2 U R U' r'|OLL}}<br />
{{Alg|r U R' U' M2 (U R U' R') U' M'|OLL}}<br />
{{Alg|M' U2 M' U2 M' U M U2 M U2 M|OLL}}<br />
{{Alg|M' U2 M U2 M' U M U2 M' U2 M|OLL}}<br />
{{Alg|M U2 M' U2 M U M' U2 M U2 M' U' |OLL}}<br />
{{Alg|M U2 M U2 M U M' U2 M' U2 M' U'|OLL}}<br />
{{Alg|M' U M' U M' U M' U M U M U M U M U|OLL}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M' |OLL}}<br />
{{Alg|M' U' M U' M' U2 M' U' M' U' M U' M' U' M' |OLL}}<br />
{{Alg|M' U' M U2 M' U' M2 U M' U2 M U M'|OLL}}<br />
{{Alg|M d r2 U M' U2 M U r2 S'|OLL}}<br />
{{Alg|M U M F R' F' M2 F R F' U'|OLL}}<br />
{{Alg|R2 U2 R' F2 U2 R2 F' R2 U2 F2 R U2 R2 U' |OLL}}<br />
{{Alg|R B U B' R' F2 B D' L' D B'F2 |OLL}}<br />
{{Alg|L' R' F' U2 L2 U2 L2 U2 L2 F L R |OLL}}<br />
{{Alg|F U2 F' U L' U' B' R' U2 R U' B U L |OLL}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U |OLL}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2 |OLL}}<br />
{{Alg|F' B' R E S R S' R2 E' F B |OLL}}<br />
{{Alg|B' R' B F2 U' R' U' R' F R2 U F2 R |OLL}}<br />
{{Alg|B L B' F2 U L U L F' L2 U' F2 L' |OLL}}<br />
{{Alg|S U S2 U' L U L S L' U' L' |OLL}}<br />
{{Alg|S' U' S2 U R' U' R' S' R U R|OLL}}<br />
{{Alg|(M U) 4 (M' U) 4|OLL}}<br />
<br />
|<br />
<br />
=== OLL 17 ===<br />
[[Image:o17.gif]]<br />
<br />
{{Alg|R U R' U (R' F R F') U2 (R' F R F')|OLL}}<br />
{{Alg|f (R U R' U') y' r' (R U R' U') R' F R F'|OLL}}<br />
{{Alg|F R' F' l R L' U R U' R' U' M'|OLL}}<br />
<br />
=== OLL 18 ===<br />
[[Image:o18.gif]]<br />
<br />
{{Alg|y' r U R' U R U2 r2' U' R U' R' U2 r|OLL}}<br />
{{Alg|y2 F R U R' d R' U2 R' F R F'|OLL}}<br />
{{Alg|R U2 R2 F R F' U2 M' U R U' r'|OLL}}<br />
{{Alg|l' U' r' U2 L U2 L' U2 r U l|OLL}}<br />
{{Alg|y (F R' F' R) U2 (F R' F' R)(U' R U' R') |OLL}}<br />
{{Alg|y x (U R' U' R) B2 (U R' U' R)(B' R B' R') x' |OLL}}<br />
<br />
=== OLL 19 ===<br />
[[Image:o19.gif]]<br />
<br />
{{Alg|r' U2 R U R' U r2 U2' R' U' R U' r'|OLL}}<br />
{{Alg|R' U2 F R U R' U' y' R2 U2 R B|OLL}}<br />
{{Alg|r' R U R U R' U' r R2' F R F'|OLL}}<br />
{{Alg|M U R U R' U' r R2' F R F'|OLL}}<br />
{{Alg|M U R U R' U' M' l' U R U'|OLL}}<br />
<br />
|}<br />
<br />
=="P" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 31 ===<br />
[[Image:o31.gif]]<br />
<br />
{{Alg|L' d' R d L U' L' B' L|OLL}}<br />
{{Alg|S' L' U' L U L F' L' f|OLL}}<br />
{{Alg|y x U R' U' l U R U R' U' R U' R'|OLL}}<br />
{{Alg|y2 R' U' F U R U' R' F' R|OLL}}<br />
{{Alg|L' U' B U L U' L' B' L|OLL}}<br />
<br />
|<br />
<br />
=== OLL 32 ===<br />
[[Image:o32.gif]]<br />
<br />
{{Alg|R d L' d' R' U R B R'|OLL}}<br />
{{Alg|S R U R' U' R' F R f'|OLL}}<br />
{{Alg|y x' U' R U l' U' R' U' R U R' U R|OLL}}<br />
{{Alg|R U B' U' R' U R B R'|OLL}}<br />
{{Alg|y2 F U R U' F' r U R' U' r'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 43 ===<br />
[[Image:o43.gif]]<br />
<br />
{{Alg|f' L' U' L U f|OLL}}<br />
{{Alg|B' U' R' U R B|OLL}}<br />
{{Alg|y2 F' U' L' U L F|OLL}}<br />
{{Alg|U R U R' F' L' U' L F|OLL}}<br />
{{Alg|y2 R' U' F R' F' R U R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 44 ===<br />
[[Image:o44.gif]]<br />
<br />
{{Alg|f R U R' U' f'|OLL}}<br />
{{Alg|y2 F U R U' R' F'|OLL}}<br />
{{Alg|y R U y' L U' L' B'|OLL}}<br />
{{Alg|y F U R' F R F' U' F'|OLL}}<br />
<br />
|}<br />
<br />
=="W" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 36 ===<br />
[[Image:o36.gif]]<br />
<br />
{{Alg|R' U' R U' R' U R U R B' R' B|OLL}}<br />
{{Alg|y2 (L' U' L U') (L' U L U) (L F' L' F)|OLL}}<br />
{{Alg|(R U R' U') y (L' U2' L U) y' (R U R')|OLL}}<br />
<br />
|<br />
<br />
=== OLL 38 ===<br />
[[Image:o38.gif]]<br />
<br />
{{Alg|L U L' U L U' L' U' L' B L B'|OLL}}<br />
{{Alg|y2 R U R' U R U' R' U' R' F R F'|OLL}}<br />
{{Alg|(L' U' L U) y' (R U2 R' U') y (L' U' L)|OLL}}<br />
<br />
|}<br />
<br />
=="L" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 53 ===<br />
[[Image:o53.gif]]<br />
<br />
{{Alg|l' U' L U' L' U L U' L' U2 l|OLL}}<br />
{{Alg|y' l U2 L U L' U' L U L' U' l'|OLL}}<br />
{{Alg|y2 r' U' R U' R' U R U' R' U2 r|OLL}}<br />
{{Alg|y' r' U2 R U R' U' R U R' U r|OLL}}<br />
{{Alg|y' r U2 R' U' R U' r' R U2 R' U' R U' R'|OLL}}<br />
{{Alg|r U R' U R U2 r' R U R' U R U2 R'|OLL}}<br />
{{Alg|F R U R' U' F' R U R' U' R' F R F'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 54 ===<br />
[[Image:o54.gif]]<br />
<br />
{{Alg|r U R' U R U' R' U R U2 r'|OLL}}<br />
{{Alg|y' r U2 R' U' R U R' U' R U' r'|OLL}}<br />
{{Alg|y2 l U L' U L U' L' U L U2 l' |OLL}}<br />
{{Alg|y l' U2 L U L' U' L U L' U' l|OLL}}<br />
{{Alg|y2 r' U' R U' R' U2 r R' U' R U' R' U2 R|OLL}}<br />
{{Alg|y r' U2 R U R' U r R' U2 R U R' U R|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 50 ===<br />
[[Image:o50.gif]]<br />
<br />
{{Alg|y2 R' F R2 B' R2 F' R2 B R'|OLL}}<br />
{{Alg|r' U r2 U' r2' U' r2 U r'|OLL}}<br />
{{Alg|R B' R B R2' U2 F R' F' R|OLL}}<br />
{{Alg|y2 l' U l2 U' l2 U' l2 U l'|OLL}}<br />
{{Alg|r' U2 R2' U R2 U rR U2 R'|OLL}}<br />
{{Alg|y' (R U2 R' U' R U' R') (F R U R' U' F')|OLL}}<br />
{{Alg|(y x') U' r U2 L' U2 r' U2 L U' (x)|OLL}}<br />
<br />
|<br />
<br />
=== OLL 47 ===<br />
[[Image:o47.gif]]<br />
<br />
{{Alg|F' L' U' L U L' U' L U F|OLL}}<br />
{{Alg|y' r U R' U R U2 r' R' U2 R U R' U R|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 48 ===<br />
[[Image:o48.gif]]<br />
<br />
{{Alg|F R U R' U' R U R' U' F'|OLL}}<br />
{{Alg|y2 f U R U' R' U R U' R' f'|OLL}}<br />
{{Alg|y r U2 R' U' R U' r' R' U' R U' R' U2 R|OLL}}<br />
{{Alg|y' r' U' R U' R' U2 r R U2 R' U' R U' R'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 49 ===<br />
[[Image:o49.gif]]<br />
<br />
{{Alg|R B' R2 F R2 B R2 F' R|OLL}}<br />
{{Alg|l U' l2' U l2 U l2' U' l|OLL}}<br />
{{Alg|y2 r U' r2 U r2 U r2 U' r|OLL}}<br />
{{Alg|y2 R' F R' F' R2 d2 y' R' F R F'|OLL}}<br />
{{Alg|y2 r U2 R2' U' R2 U' r'R' U2 R|OLL}}<br />
{{Alg|(y' x') U l' U2 R U2 l U2 R' U (x)|OLL}}<br />
{{Alg|y' R' U2 R U R' U R F R U R' U' F'|OLL}}<br />
<br />
|}<br />
<br />
=="C" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 34 ===<br />
[[Image:o34.gif]]<br />
<br />
{{Alg|R U R' U' x D' R' U R E' z'|OLL}}<br />
{{Alg|y2 R' U' R U y' x' R U L' U' M'|OLL}}<br />
{{Alg|R U R' U' y' r' U' R U M'|OLL}}<br />
{{Alg|(R U R' U') B' (R' F R F') B|OLL|vidurl=http://www.youtube.com/watch?v=oDAcz_XIljE}}<br />
{{Alg|R U R' d' l' U' L U r' R|OLL}}<br />
{{Alg|R U R2 U' R' F R U R U' F'|OLL}}<br />
{{Alg|y2 F R U R' U' R' F' r U R U' r'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 46 ===<br />
[[Image:o46.gif]]<br />
<br />
{{Alg|R' U' R' F R F' U R|OLL}}<br />
{{Alg|R' U' l' U l F' U R|OLL}}<br />
{{Alg|y F U F l' U' l U' F'|OLL}}<br />
{{Alg|R U l U' R' U F' l'|OLL}}<br />
{{Alg|y2 L F U' R U R' F' L'|OLL}}<br />
{{Alg|R U R'2 U' R' F R U R U' F|OLL}}<br />
<br />
|}<br />
<br />
=="T" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 33 ===<br />
[[Image:o33.gif]]<br />
<br />
{{Alg|R U R' U' R' F R F'|OLL}}<br />
{{Alg|R' U' R U l U' R' U (x)|OLL}}<br />
<br />
|<br />
<br />
=== OLL 45 ===<br />
[[Image:o45.gif]]<br />
<br />
{{Alg|F (R U R' U') F'|OLL}}<br />
{{Alg|f' (U' L' U L) f|OLL}}<br />
{{Alg|y2 f (U R U' R') f'|OLL}}<br />
{{Alg|y2 F' (L' U' L U) F|OLL}}<br />
<br />
|}<br />
<br />
=="I" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 55 ===<br />
[[Image:o55.gif]]<br />
<br />
{{Alg|R U2 R2 U' R U' R' U2 F R F'|OLL}}<br />
{{Alg|R' U2 R2 U R' U R U2 y l' U' l|OLL}}<br />
{{Alg|r U2 R2 F R F' U2 r' F R F'|OLL}}<br />
{{Alg|y R' F R U R' F R U' R' F' R U M' U' M|OLL}}<br />
{{Alg|L F' L' U' L F' L' U L F L' U' M' U M|OLL}}<br />
{{Alg|(L F' L' U' L F' L' U L F L' U' L)(R' F R) L'|OLL}}<br />
{{Alg|R d' R2 D R' U2 R D' R2 d R'|OLL}}<br />
A 4x4x4 special: Note: Rra = (R + r) + (L + l) :: (y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'<br />
<br />
|<br />
<br />
=== OLL 56 ===<br />
[[Image:o56.gif]]<br />
{{Alg|r U r' U R U' R' U R U' R' r U' r' |OLL}}<br />
{{Alg|r' U' r U' R' U R U' R' U R r' U r|OLL}}<br />
{{Alg|L F L' U R U' R' U R U' R' L F' L'|OLL}}<br />
{{Alg|F R U R' U' R F' r U R' U' r'|OLL}}<br />
{{Alg|R B R' U L U' L' U L U' L' R B' R'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 51 ===<br />
[[Image:o51.gif]]<br />
<br />
{{Alg|F U R U' R' U R U' R' F'|OLL}}<br />
{{Alg|y2 f R U R' U' R U R' U' f'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 52 ===<br />
[[Image:o52.gif]]<br />
<br />
{{Alg|R' U' R U' R' d R' U R B|OLL}}<br />
{{Alg|R U R' U R d' R U' R' F'|OLL}}<br />
{{Alg|y2 R' U' x U R' U' R U R' U' R x' U R |OLL}}<br />
{{Alg|(R U R' U R U2 R') U (F U R U' R' F')|OLL}}<br />
<br />
|}<br />
<br />
==Square shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 5 ===<br />
[[Image:o5.gif]]<br />
<br />
{{Alg|(r' U2) (R U R' U r)|OLL|vidurl=http://www.youtube.com/watch?v=beKUmNDs-Zo&feature=related}}<br />
{{Alg|y2 l' U2 L U L' U l'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 6 ===<br />
[[Image:o6.gif]]<br />
<br />
{{Alg|y2 (r U2) (R' U' R U') r'|OLL}}<br />
{{Alg|l U2 L' U' L U' l'|OLL}}<br />
<br />
|}<br />
<br />
==Big lightning bolt shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 39 ===<br />
[[Image:o39.gif]]<br />
<br />
{{Alg|L F' L' U' L U F U' L'|OLL}}<br />
{{Alg|y2 f' L F L' U' L' U L S|OLL}}<br />
{{Alg|y2 R U R' F' U' F U R U2 R'|OLL}}<br />
{{Alg|y2 R B' R' U' R U B U' R'|OLL}}<br />
{{Alg|y2 x' R U' x R' U' R U x' U F' l'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 40 ===<br />
[[Image:o40.gif]]<br />
<br />
{{Alg|R' F R U R' U' F' U R|OLL}}<br />
{{Alg|y2 f R' F' R U R U' R' S'|OLL}}<br />
{{Alg|y2 L' B L U L' U' B' U L|OLL}}<br />
<br />
|}<br />
<br />
<br />
==Small lightning bolt shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 7 ===<br />
[[Image:o7.gif]]<br />
<br />
{{Alg|r U R' U R U2 r'|OLL}}<br />
{{Alg|F R' F' R U2 R U2 R'|OLL}}<br />
{{Alg|L' U2 L U2 L F' L' F|OLL}}<br />
<br />
|<br />
<br />
=== OLL 8 ===<br />
[[Image:o8.gif]]<br />
<br />
{{Alg|y2 r' U' R U' R' U2 r|OLL}}<br />
{{Alg|R U2 R' U2 R' F R F'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 11 ===<br />
[[Image:o11.gif]]<br />
<br />
{{Alg|r' R2 U R' U R U2 R' U r R'|OLL}}<br />
{{Alg|y2 r U R' U R' F R F' R U2 r'|OLL}}<br />
{{Alg|y F' L' U' L U F y F R U R' U' F'|OLL}}<br />
{{Alg|R U R' y' U' R' U' R y U R' F' R U R U' R' F|OLL}}<br />
<br />
|<br />
<br />
=== OLL 12 ===<br />
[[Image:o12.gif]]<br />
<br />
{{Alg|F R U R' U' F' y F R U R' U' F'|OLL}}<br />
{{Alg|y F R U R2 F R y' R2 U R U2 R'|OLL}}<br />
{{Alg|y' r R2 U' R U' R' U2 R U' R r'|OLL}}<br />
<br />
|}<br />
<br />
==Fish shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 9 ===<br />
[[Image:o9.gif]]<br />
<br />
{{Alg|y' R' U' R y' x' R U' R' F R U R' x|OLL}}<br />
{{Alg|y' R' U' R x U' R' U y R U y' R U' x'|OLL}}<br />
{{Alg|y' R U R' U' R' F R2 U R' U' F'|OLL}}<br />
{{Alg|y' R' U' R y r U' r' U r U r|OLL}}<br />
<br />
|<br />
<br />
=== OLL 10 ===<br />
[[Image:o10.gif]]<br />
<br />
{{Alg|y' R U R' y R' F R U' R' F' R|OLL}}<br />
{{Alg|y' R U R' y' r' U r U' r' U' r|OLL}}<br />
{{Alg|y' R U R' U R' F R F' R U2 R'|OLL}}<br />
{{Alg|y' R' U' R U R B' R2 U' R U B|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 35 ===<br />
[[Image:o35.gif]]<br />
<br />
{{Alg|R U2 R2' F R F' R U2 R'|OLL}}<br />
{{Alg|y' R' U2 (R l) U' R' U l' U2 R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 37 ===<br />
[[Image:o37.gif]]<br />
<br />
{{Alg|x' U' R U l' U' R' U R|OLL}}<br />
{{Alg|l U' R' U y' R U R' U' z'|OLL}}<br />
{{Alg|y F R U' R' U' R U R' F'|OLL}}<br />
{{Alg|y R' F R F' U' F' U F|OLL}}<br />
{{Alg|y F R' F' R U R U' R'|OLL}}<br />
{{Alg|R B' R' B U B U' B'|OLL}}<br />
<br />
|}<br />
<br />
==Knight move shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 13 ===<br />
[[Image:o13.gif]]<br />
<br />
{{Alg|F U R U' R2 F' R U R U' R'|OLL}}<br />
{{Alg|F U R U2 R' U' R U R' F'|OLL}}<br />
{{Alg|r U' r' U' r U r' y' R' U R|OLL}}<br />
{{Alg|y2 x' R U' R' F' R U R' x y R' U R|OLL}}<br />
{{Alg|y2 f R U R2 U' R' U R U' f'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 14 ===<br />
[[Image:o14.gif]]<br />
<br />
{{Alg|R' F R U R' F' R y' R U' R'|OLL}}<br />
{{Alg|y' R' U' y' R' U R2 B R' U' R' U R|OLL}}<br />
{{Alg|y2 B' U' R' U R2 B R' U' R' U R|OLL}}<br />
{{Alg|y2 x' R U' R' F' R U R' x y R' U R|OLL}}<br />
{{Alg|y2 r' U r U r' U' r y R U' R'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 15 ===<br />
[[Image:o15.gif]]<br />
<br />
{{Alg|y2 l' U' l L' U' L U l' U l|OLL}}<br />
{{Alg|y2 R' F' R L' U' L U R' F R|OLL}}<br />
{{Alg|r' U' r R' U' R U r' U r|OLL}}<br />
<br />
|<br />
<br />
=== OLL 16 ===<br />
[[Image:o16.gif]]<br />
<br />
{{Alg|y2 r U r' R U R' U' r U' r'|OLL}}<br />
{{Alg|y2 r U M U R' U' r U' r'|OLL}}<br />
{{Alg|y2 F' R U R' U' R' F R U' y' R' U R U y R U' R'|OLL}}<br />
<br />
|}<br />
<br />
==Awkward shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 29 ===<br />
[[Image:o29.gif]]<br />
<br />
{{Alg|y2 R' F R F' R U2 R' d' L' U' L|OLL}}<br />
{{Alg|y2 R' F R F' R U2 R' U' y' R' U' R|OLL}}<br />
{{Alg|y2 R2' U' R F R' U R2' U' R' F' R|OLL}}<br />
{{Alg|y (R U R' U') (R U' R' F') U' (F R U R')|OLL}}<br />
{{Alg|y R' U2 R2 U R' U' R' U2 F R F'|OLL}}<br />
{{Alg|M U (R U R' U') (R' F R F') M'|OLL}}<br />
{{Alg|y2 r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 30 ===<br />
[[Image:o30.gif]]<br />
<br />
{{Alg|y2 F R' F R2 U' R' U' R U R' F2|OLL}}<br />
{{Alg|l U' R' U l' U2 d L U L'|OLL}}<br />
{{Alg|f R U R2 U' R' U R2 U' R' f'|OLL}}<br />
{{Alg|y2 F U R U' x' U R' D' R U' R'|OLL}}<br />
{{Alg|R2' U R' B' R U' R2' U R B R'|OLL}}<br />
{{Alg|M U' (L' U' L U) (L F' L' F) M'|OLL}}<br />
{{Alg|y2 M' U' (R' U' R U) x (R U' R' U) M x|OLL}}<br />
{{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 41 ===<br />
[[Image:o41.gif]]<br />
<br />
{{Alg|R U' R' U2 R U y R U' R' y' U' R'|OLL}}<br />
{{Alg|y R U2' R' U' R U' R2 (y) L' U' L U F|OLL}}<br />
{{Alg|y2 F U R U' R' F' R' U2 R U R' U R|OLL}}<br />
{{Alg|y2 R U R' U R U2 R' F R U R' U' F'|OLL}}<br />
{{Alg|y2 r R2 y' R' U' R U y R U' M|OLL}}<br />
{{Alg|y2 R2 L z' l' U' R d L U' L l'|OLL}}<br />
{{Alg|y' (L F' L' F)*2 L U' L' U L U' L|OLL}}<br />
<br />
|<br />
<br />
=== OLL 42 ===<br />
[[Image:o42.gif]]<br />
<br />
{{Alg|r' R2 y R U R' U' y' R' U M'|OLL}}<br />
{{Alg|R' U' R U F R U R' U' R' U R U' F'|OLL}}<br />
{{Alg|L' U L U2 L' U' y' L' U L U F|OLL}}<br />
{{Alg|y R' U2 R U R' U R2 y R U R' U' F'|OLL}}<br />
{{Alg|y (R' F R F')*2 R U R' U' R U R'|OLL}}<br />
{{Alg|y2 L2 R' z r U L' d' R' U R' r|OLL}}<br />
<br />
|}<br />
<br />
==All Corners Oriented==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 28 ===<br />
[[Image:o28.gif]]<br />
<br />
{{Alg|r U R' U' r' R U R U' R'|OLL}}<br />
{{Alg|y r U2 R' U' R U' r' R U R' U R U2 R'|OLL}}<br />
{{Alg|r U R' U R U2 r' R U2 R' U' R U' R'|OLL}}<br />
{{Alg|y r' U' R U' R' U2 r R' U2 R U R' U R|OLL}}<br />
{{Alg|y' r' U' R U M' U' R' U R|OLL}}<br />
{{Alg|r' U2 R U R' U r R' U' R U' R' U2 R|OLL}}<br />
{{Alg|F R U R' U' F' U2 F R U R' U' F'|OLL}}<br />
{{Alg|F R U R' U' F2 L' U' L U F|OLL}}<br />
{{Alg|M U M' U2 M U M'|OLL}}<br />
{{Alg|y M U' M' U2 M U' M'|OLL}}<br />
{{Alg|y2 M' U M U2 M' U M|OLL}}<br />
{{Alg|y' M U M2 U M' U2 M U M |OLL}}<br />
{{Alg|M U M U M' U' M U' M U M |OLL}}<br />
{{Alg|M U M' U M U2 M' U' M U' M'|OLL}}<br />
{{Alg|y M U' M U' M' U M U M U' M |OLL}}<br />
{{Alg|y2 M U' M2 U' M' U2 M U' M |OLL}}<br />
{{Alg|y' M U M' U M U M' U M U M' |OLL}}<br />
{{Alg|y' M' U' M U M U M U' M U' M' U M2|OLL}}<br />
{{Alg|y' M2 U M' U2 M U M U M U2 M' U M|OLL}}<br />
{{Alg|y2 M' U M U' M U' M U M U M' U' M2 |OLL}}<br />
{{Alg|M U' M2 U2 M' U' M U2 M U' M U' M' |OLL}}<br />
{{Alg|y' M' U' F2 M2 U' M U F2 U M2 |OLL}}<br />
{{Alg|y2 M' U F2 M2 U M U' F2 U' M2 |OLL}}<br />
{{Alg|R' F R S R' F' R S' |OLL}}<br />
{{Alg|L2 S U' S' U L2 U S U S' |OLL}}<br />
{{Alg|y L F' L' S' L F L'S |OLL}}<br />
<br />
|<br />
<br />
=== OLL 57 ===<br />
[[Image:o57.gif]]<br />
<br />
{{Alg|R U R' U' r R' U R U' r'|OLL}}<br />
{{Alg|(x') M' U' R U M U' R' U (x)|OLL}}<br />
{{Alg|R' U' R U M U' R' U r|OLL}}<br />
{{Alg|M U M U M U2 M' U M' U M' |OLL}}<br />
{{Alg|M U M U M U2 M' U M' U M' |OLL}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M|OLL}}<br />
{{Alg|M U M' U' M U M' U M U2 M'|OLL}}<br />
{{Alg|M' U' M U M' U' M U' M' U2 M|OLL}}<br />
{{Alg|M U M2 U2 M U M U2 M U' M' U' M'|OLL}}<br />
{{Alg|M' U' M2 U2 M' U' M' U2 M' U M U M|OLL}}<br />
{{Alg|M2 U' M U M' U M' U' M' U' M' U M |OLL}}<br />
{{Alg|M2 U' M' U M U M U' M U' M U M' |OLL}}<br />
{{Alg|y M' U M' U M' U M' U M' U' M' U' M' U' M' |OLL}}<br />
{{Alg|y M' U M U M' U M U' M' U' M|OLL}}<br />
{{Alg|y M' U' M U' M' U' M U M' U M|OLL}}<br />
{{Alg|y M U' M' U' M U' M' U M U M'|OLL}}<br />
{{Alg|y M U M' U M U M' U' M U' M'|OLL}}<br />
{{Alg|M U M' U' F2 M U M' U' F2 |OLL}}<br />
{{Alg|M' U' M U F2 M' U' M U F2|OLL}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M|OLL}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F' |OLL}}<br />
<br />
|}<br />
<br />
== See Also ==<br />
* [[OLL (2x2x2)]]<br />
* [[2-Look OLL]]<br />
* [[PLL]]<br />
<br />
[[Category:Methods]]<br />
[[Category:3x3x3 Methods]]<br />
[[Category:Last Layer Methods]]<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
[[Category:Algorithms]]<br />
[[Category:Sub Steps]]<br />
<br />
== External Links ==<br />
<br />
* [http://www.kungfoomanchu.com/#333oll Printable OLL PDF] (All OLL algs in one page and color coded)<br />
* [http://mordred.awardspace.us/OLLCheatSheet.pdf OLL Cheat Sheet] (Printable PDF of all OLL algorithms on 2 pages. Can be printed Double Sided)</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=8307
First Two Layers
2010-05-29T23:27:28Z
<p>AndyK: </p>
<hr />
<div>__NOTOC__<br />
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]<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 />
<br />
{{F2L}}<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 />
Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions<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 />
<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 />
<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
<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 />
<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 />
<br />
<br />
|-valign="top"<br />
|<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') 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 />
<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') d' (L' U' L)|F2L}}<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
<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 />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
<br />
|-valign="top"<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|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y (R U R')|F2L}}<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 />
<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 R') U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
<br />
{{Alg|y' U2 (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|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<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 />
|-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|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 />
Back Right slot open - (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 />
<br />
|-valign="top"<br />
|<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|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 />
<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 />
|<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 />
|<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 />
|-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 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 />
|-valign="top"<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 />
|<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 />
|-valign="top"<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|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R') d2 y (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|(R U R' U')(R U' R') U2 (F' U' 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://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 />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&diff=8306
First Two Layers
2010-05-29T23:27:10Z
<p>AndyK: </p>
<hr />
<div>__NOTOC__<br />
[[Image:F2L higlight.jpg|thumb|160px|The First Two Layers]]<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 />
{{F2L}}<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 />
Most people agree that the Fridrich F2L should be done intuitively, but when you are starting out it can be instructive to see some optimal solutions for each F2L pair. Below is a collection of such optimal solutions<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 />
<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 />
<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== F2L 3 ===<br />
[[Image:F2L03.png]]<br />
<br />
{{Alg|y' (R' U' R)|F2L}}<br />
<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 />
<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 />
<br />
<br />
|-valign="top"<br />
|<br />
=== F2L 7 ===<br />
[[Image:F2L07.png]]<br />
<br />
{{Alg|U' (R U2' R') 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 />
<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') d' (L' U' L)|F2L}}<br />
|<br />
<br />
=== F2L 10 ===<br />
[[Image:F2L10.png]]<br />
<br />
{{Alg|U' (R U R' U)(R U R')|F2L}}<br />
<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 />
<br />
|<br />
<br />
=== F2L 12 ===<br />
[[Image:F2L12.png]]<br />
<br />
{{Alg|d (R' U2 R) d' (R U R')|F2L}}<br />
<br />
|-valign="top"<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|y' (R' U R U') d' (R U R')|F2L}}<br />
{{Alg|y (L' U L) U2 y (R U R')|F2L}}<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 />
<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 R') U (R U' R')|F2L}}<br />
|<br />
<br />
=== F2L 20 ===<br />
[[Image:F2L20.png]]<br />
<br />
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}<br />
|-valign="top"<br />
|<br />
=== F2L 21 ===<br />
[[Image:F2L21.png]]<br />
<br />
{{Alg|U2 (R U R' U)(R U' R')|F2L}}<br />
<br />
|<br />
<br />
=== F2L 22 ===<br />
[[Image:F2L22.png]]<br />
<br />
{{Alg|y' U2 (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|U2 R2 U2 (R' U' R U') R2|F2L}}<br />
|<br />
<br />
=== F2L 24 ===<br />
[[Image:F2L24.png]]<br />
<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 />
|-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|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 />
Back Right slot open - (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 />
<br />
|-valign="top"<br />
|<br />
=== F2L 27 ===<br />
[[Image:F2L27.png]]<br />
<br />
{{Alg|(R U' R' U)(R U' R')|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 />
<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 />
|<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 />
|<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 />
|-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 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 />
|-valign="top"<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 />
|<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 />
|-valign="top"<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|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}<br />
|<br />
<br />
=== F2L 42 ===<br />
[[Image:F2L42.png]]<br />
<br />
{{Alg|(R U' R') d2 y (R' U' R U')(R' U R)|F2L}}<br />
{{Alg|(R U R' U')(R U' R') U2 (F' U' 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://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 />
<br />
[[Category:Cubing Terminology]]<br />
[[Category:3x3x3 Methods]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Template:OLL&diff=8305
Template:OLL
2010-05-29T23:26:31Z
<p>AndyK: Created page with '{| align="center" cellpadding="4px" cellspacing="0px" border="1px" | bgcolor="#DDDDDD"| <big>'''OLL'''</big> | bgcolor="#EEEEEE"| [[OLL#All edges flipped correctly| All edges fli…'</p>
<hr />
<div>{| align="center" cellpadding="4px" cellspacing="0px" border="1px"<br />
| bgcolor="#DDDDDD"|<br />
<big>'''OLL'''</big><br />
| bgcolor="#EEEEEE"|<br />
[[OLL#All edges flipped correctly| All edges flipped correctly ]] | <br />
[[OLL#No edges flipped correctly| No edges flipped correctly ]] | <br />
[[OLL#"P" shapes| "P" shapes ]] | <br />
[[OLL#"W" shapes| "W" shapes ]] | <br />
[[OLL#"L" shapes| "L" shapes ]] | <br />
[[OLL#"C" shapes| "C" shapes ]] | <br />
[[OLL#"T" shapes| "T" shapes ]] | <br />
[[OLL#"I" shapes| "I" shapes ]] | <br />
[[OLL#Square shapes| Square shapes ]] | <br />
[[OLL#Big lightning bolt shapes| Big lightning bolt shapes ]] | <br />
[[OLL#Small lightning bolt shapes| Small lightning bolt shapes ]] | <br />
[[OLL#Fish shapes| Fish shapes ]] | <br />
[[OLL#Knight move shapes| Knight move shapes ]] | <br />
[[OLL#Awkward shapes| Awkward shapes ]] | <br />
[[OLL#All Corners Oriented| All Corners Oriented ]] | <br />
[[Template:OLL|<small>edit</small>]]<br />
|}</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Template:F2L&diff=8304
Template:F2L
2010-05-29T23:26:15Z
<p>AndyK: Created page with '{| align="center" cellpadding="4px" cellspacing="0px" border="1px" | bgcolor="#DDDDDD"| <big>'''F2L'''</big> | bgcolor="#EEEEEE"| Easy Cases | [[F2L#Repositi…'</p>
<hr />
<div>{| align="center" cellpadding="4px" cellspacing="0px" border="1px"<br />
| bgcolor="#DDDDDD"|<br />
<big>'''F2L'''</big><br />
| bgcolor="#EEEEEE"|<br />
[[F2L#Easy Cases| Easy Cases ]] | [[F2L#Reposition Edge| Reposition Edge ]] | <br />
[[F2L#Reposition Edge and Flip Corner| Reposition Edge and Flip Corner ]] | <br />
[[F2L#Split Pair by Going Over| Split Pair by Going Over ]] | <br />
[[F2L#Pair Made on Side| Pair Made on Side ]] | <br />
[[F2L#Weird| Weird ]] | <br />
[[F2L#Corner in Place, Edge in U Face| Corner in Place, Edge in U Face ]] | <br />
[[F2L#Edge in Place, Corner in U face| Edge in Place, Corner in U face ]] | <br />
[[F2L#Edge and Corner in Place| Edge and Corner in Place ]] | <br />
[[Template:F2L|<small>edit</small>]]<br />
|}</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Introduction_to_Speedcubing_for_Beginners&diff=8302
Introduction to Speedcubing for Beginners
2010-05-29T23:15:49Z
<p>AndyK: /* How-To Guides */</p>
<hr />
<div>This guide will give you a small introduction to [[speedcubing]].<br />
<br />
If you are new to this sport, you will find out there is a lot of information available.. If you are dazzled about the amount of information, just take it one step at a time.<br />
<br />
== Frequently Asked Questions ==<br />
<br />
=== What is the Rubik's Cube? ===<br />
<br />
The Rubik's Cube is a puzzle, invented by Erno Rubik in 1974. In 1980, the Cube was marketed world-wide, and 200 million of them were sold. Here you can see what a Rubik's Cube looks like.<br />
<br />
=== What is speedcubing? ===<br />
<br />
Speedcubing is the art of solving Rubik's Cube (and other twisty puzzles) as fast as possible. I think most people would also say that speedcubing is more than that: Other disciplines, such as one handed cubing or blindfold cubing can also be called "speedcubing".<br />
<br />
=== How can I solve the cube? ===<br />
<br />
If you are a beginner, there are a lot of websites available that will explain how to solve the [[3x3x3 cube]] in an easy way. (**Please note that there are many different ways to solve the cube. Some of these links will describe different methods**)<br />
[http://peter.stillhq.com/jasmine/rubikscubesolution.html Andy Camann]<br />
[http://grrroux.free.fr/begin/Begin.html Gilles Roux]<br />
[http://www.solvethecube.co.uk/ Joel van Noort]<br />
[http://www.its.caltech.edu/%7Eleyanlo/cube_solution.pdf Leyan Lo]<br />
[http://pjkcubed.com/rubiks-cube-beginners-guide.html Patrick Kelly]<br />
[http://jeays.net/rubiks.htm Mark Jeays]<br />
<br />
=== How does the notation system work? ===<br />
<br />
The cube has six sides: Front, Back, Left, Right, Upper and Down (F, B, L, R U and D). A single letter represents a clockwise turn of that face. For this, imagine that every side has an image of a clock on it, and a 90 degree clockwise turn has to go in the same direction as that clock. It might take a while to get used to this, because for the B face, from the perspective of the person holding the cube, a clockwise turn looks like a counterclockwise turn in a way... But after using this system for a while, you will get used to it. A single letter followed by a ' represents a counterclockwise turn of that face. A single letter followed by a 2 represents a 180 degree turn of that face. In that case, the direction of the turn doesn't matter. Many cubers use other notation. Further explanation of symbols can be found on the [[notation]] page.<br />
<br />
=== My cube is very stiff... What can I do to make it run smoother? ===<br />
<br />
There are a lot of cubes out there that are recommended for speedcubing. However, most cubes will get looser by simply using them very often. Some cubes allow you to take off the center-caps and fine-tune the tension of the screws and springs. By turning the screws, you can make the cube a bit more loose, by turning the springs you can adjust tension with how each side turns. Another idea is to lube your cube with silicone spray. You should be careful with this, because some lubricants can be quite aggressive for your cube. If it say's "WD-40" anywhere on your lubricant, DONT use it to lube your cube. You can read more about [[Lubrication]] on the main article on it.<br />
<br />
Making the cube physically smoother requires more effort. One popular method is to sand the pieces and internal mechanism. This can be done by putting the cube in sand, (thus letting multiple grains get trapped in the internal mechanism) and solving the cube multiple times therefore sanding the cube internally. Once the cube has been solved numerous times, the cube must be washed out and cleaned of all sand and cube dust the sand may have left behind.<br />
<br />
=== How can I "open"/take apart my cube? ===<br />
<br />
You can turn one of the faces 45 degrees, and try to POP out one of the edge pieces, as shown in this picture: http://www.speedcubing.com/ton/3x3x3_dis.JPG. You should be careful with this. With extremely stiff cubes this doesn't work.<br />
<br />
=== Where can I learn those fingertricks? ===<br />
<br />
There aren't many websites that really have a section about finger tricks. On [http://www.solvethecube.co.uk this page], I have one tutorial that explains the basic finger tricks, and gives a few examples. (click tutorials, and search for the "Fingertricks" tutorial). There are some websites with videos that show you how to perform algorithms. www.cubewhiz.com provides algorithms with videos. This can give you an idea about how to execute certain combinations of moves. www.strangepuzzle.com hosts a lot of speedcubing videos. These videos are really fast, but it can give you some inspiration. After watching all these videos for a while, you will probably start doing your own tricks.<br />
<br />
=== What is the best method for speedsolving the Cube? ===<br />
<br />
I honestly don't know... I wish I knew! I don't really think there is a "best method". I think you should just find a speedcubing method that feels right for you. Below this FAQ, you will find a list of links. Some of them link to popular speedcubing methods. However, before learning an extremely advanced method, I think it?s a good idea to first learn a beginners method!<br />
<br />
=== Where can I buy puzzles? ===<br />
<br />
http://www.rubiks.com sells a lot of twisty puzzles. I can highly recommmend the DIY kits for speedcubing.<br />
<br />
http://www.mefferts.com also sells a lot of nice puzzles. Free shipping to anywhere in the world!<br />
<br />
http://www.e-bay.com. Some cubers have luck with finding good puzzles on e-bay. I don't have any experience with this at all... So all I can say is: good luck with searching, and be careful with buying. Look at the sellers message, and other auctions, and try to estimate if he or she can be trusted.<br />
<br />
There are these new websites which offer good deals<br />
<br />
http://www.dealextreme.com/<br />
<br />
http://www.dealperfect.com/<br />
<br />
=== The stickers of my cube are peeling/coming off, how can I solve this problem? ===<br />
<br />
This is a well known problem. Most cubes don't have high quality stickers on them whether they be the wrong colors or the laminate peels off. The best solution to this, by far, is to buy new stickers; Vinyl (PVC) stickers are highly recommended, Cubesmith sells high quality stickers and is used by professional speedcubers worldwide. [http://cubesmith.com CubeSmith] Making your own stickers takes a lot of time, and you probably won't make stickers as high of quality.<br />
<br />
=== How can I solve higher order cubes? (4x4, 5x5) ===<br />
<br />
You can find a method for the 4x4 here: http://www.speedcubing.com/chris/4-solution.html. The same ideas can be used for solving the 5x5. Another website that deals with higher order cubes can be found here: http://www.bigcubes.com.<br />
<br />
=== How can I solve the F2L quickly with the Fridrich system/method? ===<br />
<br />
The most common answer to this question is to "Slow down and look ahead" essentially that's all there is to it. <br />
For more on Fridrich F2L the links below can be especially helpful.<br />
Erik A. did a nice video on how he does the F2L slowly, check it out here, it should help:<br />
http://www.youtube.com/watch?v=HbKvOXE__CM<br />
<br />
These two sites basically teach the same thing, but they use different algorithms.<br />
http://www.snkenjoi.com/wikicube/index.php...e=Intuitive_F2L<br />
http://dougreed.no-ip.org/~doug/f2l/f2l.htm<br />
<br />
This site lists all 41 cases.<br />
http://www.cubestation.co.uk/cs2/index.php...x3/cfop/f2l/f2l<br />
<br />
=== Where can I see all current official/unofficial records? ===<br />
<br />
All official records (records that are done at an official competition) can be found here:<br />
http://www.worldcubeassociation.org/results/index.php<br />
<br />
All unofficial records can be found here:<br />
http://www.speedcubing.com/records<br />
<br />
=== Other Information ===<br />
<br />
For more FAQ's, please visit this link (contains general usage FAQ of the forum itself):<br />
http://www.speedsolving.com/forum/faq.php<br />
<br />
=== Some useful links ===<br />
<br />
Speedcubing Tips<br />
Below is a page containing the most links relating to speedcubing more than any other pages.<br />
*http://speedcubing.com/links.html<br />
<br />
=== Puzzle Shops ===<br />
<br />
This is where you can find information on where to buy puzzles:<br />
http://www.speedsolving.com/forum/showthread.php?t=117<br />
<br />
=== How-To Guides ===<br />
<br />
Here is a link to the How-To section, which includes various tutorials and guides. Please check it out when you get the chance:<br />
http://www.speedsolving.com/forum/forumdisplay.php?f=18 and here's a link to the wiki page for the popular Layer By Layer beginner's method http://www.speedsolving.com/wiki/index.php/Layer_by_layer<br />
<br />
[[Category:Competitive Cubing]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Layer_by_layer&diff=8301
Layer by layer
2010-05-29T23:14:35Z
<p>AndyK: /* External Links */</p>
<hr />
<div>{{Method Infobox<br />
|name=LBL (3x3x3)<br />
|image=Layer_by_layer.gif<br />
|proposers=none<br />
|year=1980s<br />
|anames<br />
|variants=[[CFOP]], [[8355]]<br />
|steps=5+<br />
|algs=6 to 16 (depending on [[LL]])<br />
|moves<br />
|purpose=<sup></sup><br />
* [[Beginner Method]]<br />
* [[Speedsolving]]<br />
}}<br />
'''Layer-By-Layer''', or normally only '''LBL''' is a group of [[method]]s that solves the [[cube]] in layers. In the basic, [[3x3x3 Beginner Methods#Layer By Layer|beginner LBL method]], the solver finishes the layers one at a time: the [[first layer]] edges, then corners; then the second layer's edges; and finally the [[last layer]]. This is the most common method for new cubers to discover on their own. More advanced LBL methods solve layers more efficiently or solve two layers at once: for example, the [[Fridrich method]] solves the [[first two layers]] simultaneously, by forming a [[cross]] of the first layer's [[edge]]s and then filling in four [[pair]]s of a [[corner]] and an [[edge]] into the so-called [[slot]]s.<br />
<br />
__NOTOC__<br />
<br clear="right"><br />
== 3x3x3 LBL Method ==<br />
Also known as LBL. Solves the cube in layers: First the bottom layer, then the middle layer, and finally the top layer or [[LL]]. As a slight advancement to basic Layer By Layer, the [[Keyhole]] method can be used to enable solving of the middle layer in fewer moves.<br />
<br />
== 2x2x2 LBL Method ==<br />
{{Method Infobox<br />
|name=LBL (2x2x2)<br />
|image=Lbl.gif<br />
|proposers=none<br />
|year=1980's<br />
|anames<br />
|variants=[[CLL]]<br />
|steps=3<br />
|algs=2 to 9 (depending on [[LL]])<br />
|moves<br />
|purpose=<sup></sup><br />
* [[Beginner Method]]<br />
* [[Speedsolving]]<br />
}}<br />
<br />
Done as if solving the 3x3 corners using the Layer-By-Layer method. Shorter last layer algs may be used since there are no edges to be keped in position on a 2x2. There are two options for the last layer in a beginner 2x2 solve:<br />
<br />
* Orientation followed by Permutation<br />
* Permutation followed by Orientation<br />
<br />
==See Also==<br />
<br />
* [[OLL]]<br />
* [[PLL]]<br />
* [[OLL (2x2x2)]]<br />
* [[Layer]]<br />
* [[First Layer]]<br />
* [[Last Layer]]<br />
* [[4-Look Last Layer]]<br />
<br />
== External Links ==<br />
* YouTube: [http://www.youtube.com/user/CubeRight#p/u/8/VVrOmmKnVjo CubeRight's] excellent (HD) beginner tutorial. Easy transition to Fridrich method.<br />
* YouTube: [http://www.youtube.com/watch?v=609nhVzg-5Q Badmephiosto's Beginners Tutorial] excellent quality tutorial. Method designed for easy transition to Fridrich<br />
* YouTube: [http://ca.youtube.com/watch?v=ofZFUgaxlTQ Badmephisto's OLD Beginners Tutorial] .. the outdated version.<br />
* YouTube: [http://www.youtube.com/watch?v=HsQIoPyfQzM Dan brown's Beginner Method] combines corner orientation/permutation into one step making the solve a little easier, but much slower and more difficult to transition to Fridrich<br />
* [http://www.monkeysee.com/play/1113-solve-rubik-s-cube Bob Burton's Tutorial] (video)<br />
* [http://www.rubiks.com/Academy/Tyson%20Video.aspx Tyson Mao's video tutorial on rubiks.com] (video)<br />
* [http://www.stanford.edu/~leyanlo/cube_solution.pdf Leyan's guide for beginners] '''(PDF)'''<br />
* [http://peter.stillhq.com/jasmine/rubikscubesolution.html Jasmine Lee's Beginner Solution]<br />
* [http://www.kungfoomanchu.com/#333beginners A 9 algorithm beginner's guide] (A printable PDF that gives you the algs necessary to solve the cube, but lets you figure out how to use them)<br />
* [http://erikku.110mb.com/beginner.html Arnaud van Galen's beginners method explained by Erik Akkersdijk]<br />
* [http://rubikscube.info/beginner.php rubikscube.info Beginner LBL for the 2x2x2]<br />
* [http://joshtime.com/cubing/beginners-method/ JoshTime's Multiple Page LBL Beginner's Method Explanation]<br />
<br />
[[Category:Methods]]<br />
[[Category: 2x2x2 Beginner Methods]]<br />
[[Category: 3x3x3 Beginner Methods]]<br />
[[Category: 2x2x2 Speedsolving Methods]]<br />
[[Category: 3x3x3 Speedsolving Methods]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Category:Megaminx_methods&diff=8300
Category:Megaminx methods
2010-05-29T23:12:36Z
<p>AndyK: /* External Links */</p>
<hr />
<div>== Megaminx Speedsolving Methods ==<br />
<br />
Contrary to popular belief, the [[Megaminx]] is not substantially harder than a [[3x3x3]] to solve. The Megaminx can be solved up until the last [[face]] exactly like [[F2L]] on a normal Rubik's Cube. Generally, a solver will start with a "star" on one side, analogous to the [[cross]] on a Rubik's Cube. Then, corners and edges are paired and placed exactly like that of Fridrich F2L until only the last face needs to be solved. From here there are several ways to go about solving the last face. Many [[algorithm]]s used on a Rubik's Cube can be applied to the [[LL|last layer]] of the Megaminx. For example, [[Sune]] (R U R' U R U'2 R') cycles three edges, and F R U R' U' F' and its inverse orient edges just like that of a Rubik's Cube.<br />
<br />
== See Also ==<br />
* [[Megaminx]]<br />
* [[Megaminx Notation]]<br />
<br />
== External Links ==<br />
* [http://qblog.be/2010/02/last-layer-megaminx-solver/ 5g solver for Megaminx LL by Lars Vandenbergh]<br />
* [http://stefan-pochmann.info/spocc/speedsolving/megaminx/ Stefan Pochmann's page]<br />
* [http://grant.tregay.net/cube/solutions/megaminx/index.html Grant Tregay's page]<br />
* [http://erikku.110mb.com/minx.html Erik Akkersdijk's method and algorithms]<br />
* [http://www.kungfoomanchu.com/#megaminx A PDF alg sheet for the last layer] (10 algorithm beginner's guide and a 20 algorithm advanced guide)<br />
* [http://www.francocube.com/cyril/mega_index.php François Villaret's method in French]<br />
* [http://sites.google.com/site/permuteramera/home Loads of LL-cases and algs]<br />
<br />
[[Category:Megaminx]]<br />
[[Category:Methods]]<br />
[[Category:Methods for Other Puzzles]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Category:Megaminx_methods&diff=8299
Category:Megaminx methods
2010-05-29T23:09:03Z
<p>AndyK: /* External Links */</p>
<hr />
<div>== Megaminx Speedsolving Methods ==<br />
<br />
Contrary to popular belief, the [[Megaminx]] is not substantially harder than a [[3x3x3]] to solve. The Megaminx can be solved up until the last [[face]] exactly like [[F2L]] on a normal Rubik's Cube. Generally, a solver will start with a "star" on one side, analogous to the [[cross]] on a Rubik's Cube. Then, corners and edges are paired and placed exactly like that of Fridrich F2L until only the last face needs to be solved. From here there are several ways to go about solving the last face. Many [[algorithm]]s used on a Rubik's Cube can be applied to the [[LL|last layer]] of the Megaminx. For example, [[Sune]] (R U R' U R U'2 R') cycles three edges, and F R U R' U' F' and its inverse orient edges just like that of a Rubik's Cube.<br />
<br />
== See Also ==<br />
* [[Megaminx]]<br />
* [[Megaminx Notation]]<br />
<br />
== External Links ==<br />
* [http://qblog.be/2010/02/last-layer-megaminx-solver/ 5g solver for Megaminx LL by Lars Vandenbergh]<br />
* [http://stefan-pochmann.info/spocc/speedsolving/megaminx/ Stefan Pochmann's page]<br />
* [http://grant.tregay.net/cube/solutions/megaminx/index.html Grant Tregay's page]<br />
* [http://erikku.110mb.com/minx.html Erik Akkersdijk's method and algorithms]<br />
* [http://www.kungfoomanchu.com/#megaminx A printable guide to the last layer] (10 algorithm beginner's guide and a 20 algorithm advanced guide)<br />
* [http://www.francocube.com/cyril/mega_index.php François Villaret's method in French]<br />
* [http://sites.google.com/site/permuteramera/home Loads of LL-cases and algs]<br />
<br />
[[Category:Megaminx]]<br />
[[Category:Methods]]<br />
[[Category:Methods for Other Puzzles]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=OLL&diff=8298
OLL
2010-05-29T23:06:44Z
<p>AndyK: /* External Links */</p>
<hr />
<div>__NOTOC__<br />
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods, such as the [[Fridrich Method]], usally followed by [[PLL]].<br />
<br />
Parentheses in an algorithm signify the triggers of the algorithm. For example, [(R U R') (L' U L)] shows two triggers in the algorithm, even though it is the same as [R U R' L' U L].<br />
<br />
The areas shaded in gray represent the oriented pieces on the top layer. You can tell if a piece is oriented by looking at the top color of the piece in relation to the top center of the cube. If the piece is oriented, the two colors will be the same.<br />
<br />
The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top is.<br />
<br />
<strong>Click on an algorithm (not the camera icon) to watch an animation of it.</strong><br />
<br />
==All edges flipped correctly==<br />
This subgroup, '''OCLL''' (also '''OLL-C''') is used in methods which have oriented the [[LL]] edges earlier in the solve, such as [[ZZ]]. Solving the '''OCLL''' is also the second part of the [[2-look OLL]].<br />
<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
=== OLL 21 ===<br />
[[Image:o21.gif]]<br />
<br />
{{Alg|R U R' U R U' R' U R U2 R'|OLL}}<br />
{{Alg|y R U2 R' U' R U R' U' R U' R'|OLL}}<br />
{{Alg|y F (R U R' U') (R U R' U') (R U R' U') F'|OLL}}<br />
{{Alg|y F' (L' U' L U) (L' U' L U) (L' U' L U) F|OLL}}<br />
{{Alg|R' U' R U' R' U R U' R' U2 R|OLL}}<br />
{{Alg|L U L' U L U' L' U L U2 L'|OLL}}<br />
{{Alg|y L' U2 L U L' U' L U L' U L|OLL}}<br />
<br />
|<br />
<br />
=== OLL 22 ===<br />
[[Image:o22.gif]]<br />
<br />
{{Alg|R U2 R2' U' R2 U' R2' U2 R|OLL}}<br />
{{Alg|f (R U R' U') f' F (R U R' U') F'|OLL}}<br />
{{Alg|y2 f' (L' U' L U) f F' (L' U' L U) F|OLL}}<br />
{{Alg|y2 L' U2 L2 U L2 U L2 U2 L'|OLL}}<br />
{{Alg|R U2 R2 U' R' U R U' R U' R' y M' U2 M|OLL}}<br />
{{Alg|R' U L U' R U' L' U' L U' L'|OLL}}<br />
{{Alg|y2 L U' R' U L' U R U R' U R|OLL}}<br />
{{Alg|y2 L' U R U' L U' R' U' R U' R'|OLL}}<br />
{{Alg|R U' L' U R' U L U L' U L|OLL}}<br />
{{Alg|R U R' U R U2 R' y' R U R' U R U2 R'|OLL}}<br />
<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 23 ===<br />
[[Image:o23.gif]]<br />
<br />
{{Alg|R2 D' R U2 R' D R U2 R|OLL}}<br />
{{Alg|L2 D L' U2 L D' L' U2 L'|OLL}}<br />
{{Alg|R' U2 R F U' R' U' R U F'|OLL}}<br />
{{Alg|l2 U' R D2 R' U R D2 R|OLL}}<br />
{{Alg|l2' U' z' U R2 U' L U R2 z' L|OLL}}<br />
{{Alg|y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'|OLL}}<br />
{{Alg|y2 R' F2 R U2 R U2 R' F2 R U2 R'|OLL}}<br />
{{Alg|y2 R2 D R' U2 R D' R' U2 R'|OLL}}<br />
{{Alg|(R' U' R U) R' U2 R2 U (R' U R U2 R)|OLL}}<br />
{{Alg|R2' B2 R F2' R' B2 R F2' R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 24 ===<br />
[[Image:o24.gif]]<br />
<br />
{{Alg|r U R' U' L' U R U' x'|OLL}}<br />
{{Alg|r U R' U' r' F R F'|OLL}}<br />
{{Alg|y' F R U R' U' R U' R U' R U R' F'|OLL}}<br />
{{Alg|y' R U R2' U' R2 U' R2' U2' R U' R U' R'|OLL}}<br />
{{Alg|y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')|OLL}}<br />
{{Alg|y x D' R' U R D R' U' R x'|OLL}}<br />
{{Alg|y x D L U' L' D' L U L' x' |OLL}}<br />
{{Alg|y x' U' R' D R U R' D' R x|OLL}}<br />
{{Alg|y2 R' F' r U R U' r' F|OLL}}<br />
{{Alg|y2 l' U' L U R U' r' F|OLL}}<br />
{{Alg|y' l U l' F R B' R' F'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 25 ===<br />
[[Image:o25.gif]]<br />
<br />
{{Alg|y2 R' F R B' R' F' R B|OLL}}<br />
{{Alg|y' F' r U R' U' r' F R|OLL}}<br />
{{Alg|y' x U R' U' L U R U' r'|OLL}}<br />
{{Alg|y R' F' L' F R F' L F|OLL}}<br />
{{Alg|y R' U' (R U R' F') (R U R' U') (R' F R2)|OLL}}<br />
{{Alg|y2 R U2' R D R' U2 R D' R2'|OLL}}<br />
{{Alg|y2 F R' F' r U R U' r'|OLL}}<br />
{{Alg|y2 l' U R D' R' U' R D x'|OLL}}<br />
{{Alg|y2 x' L' U' R' U L U' R U|OLL}}<br />
{{Alg|x' D R U R' D' R U' l'|OLL}}<br />
{{Alg|x' U L' U' R U L U' l'|OLL}}<br />
{{Alg|x' R' D R U' R' D' R U x|OLL}}<br />
{{Alg|x' D R U R' U' D' U R U' R' x|OLL}}<br />
{{Alg|x R' U R D' R' U' R D x'|OLL}}<br />
{{Alg|y2 x L U' L' D L U L' D' x'|OLL}}<br />
{{Alg|l' U' L' U R U' L U x'|OLL}}<br />
{{Alg|U r U R U' L' U R' U' x'|OLL}}<br />
{{Alg|R U2 R' U' R U R' U' R U R' U' R U' R'|OLL}}<br />
{{Alg|R U R' U R U' R' U R U' R' U R U2 R'|OLL}}<br />
{{Alg|y2 L' R U R' U' L U R U' R'|OLL}}<br />
{{Alg|F R B R' F' l U' l'|OLL}}<br />
<br />
=== OLL 26 ===<br />
[[Image:o26.gif]]<br />
<br />
{{Alg|y2 R' U' R U' R' U2 R|OLL}}<br />
{{Alg|y' R U2 R' U' R U' R'|OLL}}<br />
{{Alg|y' L U2 L' U' L U' L'|OLL}}<br />
{{Alg|L' U' L U' L' U2 L|OLL}}<br />
{{Alg|L' U R U' L U R'|OLL}}<br />
{{Alg|y' L' U R U' L U R'|OLL}}<br />
{{Alg|y' R U R' R U R' U' R U R' R U R' R U R' |OLL}}<br />
<br />
=== OLL 27 ===<br />
[[Image:o27.gif]]<br />
<br />
{{Alg|R U R' U R U2 R'|OLL}}<br />
{{Alg|R U R' U R U R' R U R'|OLL}}<br />
{{Alg|y' R' U2 R U R' U R|OLL}}<br />
{{Alg|y L' U2 L U L' U L|OLL}}<br />
{{Alg|y2 L U L' U L U2 L'|OLL}}<br />
{{Alg|R U' L' U R' U' L|OLL}}<br />
{{Alg|U2 r2 U R' U' L' U R U' r'|OLL}}<br />
<br />
|}<br />
<br />
==No edges flipped correctly==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 1 === <br />
[[Image:o1.gif]]<br />
<br />
{{Alg|(R U2) (R2' F R F' U2') (R' F R F')|OLL|vidurl=http://www.youtube.com/watch?v=n_2qaxpViEY}}<br />
{{Alg|R U B' R B R2 U' R' F R F'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 2 === <br />
[[Image:o2.gif]]<br />
<br />
{{Alg|F (R U R' U') F' f (R U R' U') f'|OLL|vidurl=http://www.youtube.com/watch?v=YJZ4Vm5_FZI&feature=related}}<br />
{{Alg|y2 F' (L' U' L U) F f' (L' U' L U) f|OLL}}<br />
{{Alg|y r U r' U2 r U2 R' U2 R U' r'|OLL}}<br />
{{Alg|y l' U' l U2 l' U2 L U2 L' U l|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 3 ===<br />
[[Image:o3.gif]]<br />
<br />
{{Alg|y f (R U R' U') f' U' F (R U R' U') F'|OLL}}<br />
{{Alg|y2 r' R2 U R' U r U2 r' U R' r|OLL|vidurl=http://www.youtube.com/watch?v=VIHqsOoGLVc&feature=related}}<br />
{{Alg|y2 M U l' U2 l U L' U L M'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 4 ===<br />
[[Image:o4.gif]]<br />
<br />
{{Alg|f (R U R' U') f' U F (R U R' U') F'|OLL}}<br />
{{Alg|R' U2 x R' U R U' y R' U' R' U R' F|OLL}}<br />
{{Alg|y r' R U' r U2 r' U' R U' R2' r|OLL}}<br />
{{Alg|y M U' r U2' r' U' R U' R' M'|OLL}}<br />
{{Alg|l L2 U' L U' l' U2 l U' M'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 20 ===<br />
[[Image:o20.gif]]<br />
<br />
{{Alg|r' R U R U R' U' r2 R2' U R U' r'|OLL}}<br />
{{Alg|M U R U R' U' M2 U R U' r'|OLL}}<br />
{{Alg|r U R' U' M2 (U R U' R') U' M'|OLL}}<br />
{{Alg|M' U2 M' U2 M' U M U2 M U2 M|OLL}}<br />
{{Alg|M' U2 M U2 M' U M U2 M' U2 M|OLL}}<br />
{{Alg|M U2 M' U2 M U M' U2 M U2 M' U' |OLL}}<br />
{{Alg|M U2 M U2 M U M' U2 M' U2 M' U'|OLL}}<br />
{{Alg|M' U M' U M' U M' U M U M U M U M U|OLL}}<br />
{{Alg|M' U M U M' U2 M' U M' U M U M' U M' |OLL}}<br />
{{Alg|M' U' M U' M' U2 M' U' M' U' M U' M' U' M' |OLL}}<br />
{{Alg|M' U' M U2 M' U' M2 U M' U2 M U M'|OLL}}<br />
{{Alg|M d r2 U M' U2 M U r2 S'|OLL}}<br />
{{Alg|M U M F R' F' M2 F R F' U'|OLL}}<br />
{{Alg|R2 U2 R' F2 U2 R2 F' R2 U2 F2 R U2 R2 U' |OLL}}<br />
{{Alg|R B U B' R' F2 B D' L' D B'F2 |OLL}}<br />
{{Alg|L' R' F' U2 L2 U2 L2 U2 L2 F L R |OLL}}<br />
{{Alg|F U2 F' U L' U' B' R' U2 R U' B U L |OLL}}<br />
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U |OLL}}<br />
{{Alg|F2 M F2 U' M2 U B2 M B2 |OLL}}<br />
{{Alg|F' B' R E S R S' R2 E' F B |OLL}}<br />
{{Alg|B' R' B F2 U' R' U' R' F R2 U F2 R |OLL}}<br />
{{Alg|B L B' F2 U L U L F' L2 U' F2 L' |OLL}}<br />
{{Alg|S U S2 U' L U L S L' U' L' |OLL}}<br />
{{Alg|S' U' S2 U R' U' R' S' R U R|OLL}}<br />
{{Alg|(M U) 4 (M' U) 4|OLL}}<br />
<br />
|<br />
<br />
=== OLL 17 ===<br />
[[Image:o17.gif]]<br />
<br />
{{Alg|R U R' U (R' F R F') U2 (R' F R F')|OLL}}<br />
{{Alg|f (R U R' U') y' r' (R U R' U') R' F R F'|OLL}}<br />
{{Alg|F R' F' l R L' U R U' R' U' M'|OLL}}<br />
<br />
=== OLL 18 ===<br />
[[Image:o18.gif]]<br />
<br />
{{Alg|y' r U R' U R U2 r2' U' R U' R' U2 r|OLL}}<br />
{{Alg|y2 F R U R' d R' U2 R' F R F'|OLL}}<br />
{{Alg|R U2 R2 F R F' U2 M' U R U' r'|OLL}}<br />
{{Alg|l' U' r' U2 L U2 L' U2 r U l|OLL}}<br />
{{Alg|y (F R' F' R) U2 (F R' F' R)(U' R U' R') |OLL}}<br />
{{Alg|y x (U R' U' R) B2 (U R' U' R)(B' R B' R') x' |OLL}}<br />
<br />
=== OLL 19 ===<br />
[[Image:o19.gif]]<br />
<br />
{{Alg|r' U2 R U R' U r2 U2' R' U' R U' r'|OLL}}<br />
{{Alg|R' U2 F R U R' U' y' R2 U2 R B|OLL}}<br />
{{Alg|r' R U R U R' U' r R2' F R F'|OLL}}<br />
{{Alg|M U R U R' U' r R2' F R F'|OLL}}<br />
{{Alg|M U R U R' U' M' l' U R U'|OLL}}<br />
<br />
|}<br />
<br />
=="P" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 31 ===<br />
[[Image:o31.gif]]<br />
<br />
{{Alg|L' d' R d L U' L' B' L|OLL}}<br />
{{Alg|S' L' U' L U L F' L' f|OLL}}<br />
{{Alg|y x U R' U' l U R U R' U' R U' R'|OLL}}<br />
{{Alg|y2 R' U' F U R U' R' F' R|OLL}}<br />
{{Alg|L' U' B U L U' L' B' L|OLL}}<br />
<br />
|<br />
<br />
=== OLL 32 ===<br />
[[Image:o32.gif]]<br />
<br />
{{Alg|R d L' d' R' U R B R'|OLL}}<br />
{{Alg|S R U R' U' R' F R f'|OLL}}<br />
{{Alg|y x' U' R U l' U' R' U' R U R' U R|OLL}}<br />
{{Alg|R U B' U' R' U R B R'|OLL}}<br />
{{Alg|y2 F U R U' F' r U R' U' r'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 43 ===<br />
[[Image:o43.gif]]<br />
<br />
{{Alg|f' L' U' L U f|OLL}}<br />
{{Alg|B' U' R' U R B|OLL}}<br />
{{Alg|y2 F' U' L' U L F|OLL}}<br />
{{Alg|U R U R' F' L' U' L F|OLL}}<br />
{{Alg|y2 R' U' F R' F' R U R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 44 ===<br />
[[Image:o44.gif]]<br />
<br />
{{Alg|f R U R' U' f'|OLL}}<br />
{{Alg|y2 F U R U' R' F'|OLL}}<br />
{{Alg|y R U y' L U' L' B'|OLL}}<br />
{{Alg|y F U R' F R F' U' F'|OLL}}<br />
<br />
|}<br />
<br />
=="W" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 36 ===<br />
[[Image:o36.gif]]<br />
<br />
{{Alg|R' U' R U' R' U R U R B' R' B|OLL}}<br />
{{Alg|y2 (L' U' L U') (L' U L U) (L F' L' F)|OLL}}<br />
{{Alg|(R U R' U') y (L' U2' L U) y' (R U R')|OLL}}<br />
<br />
|<br />
<br />
=== OLL 38 ===<br />
[[Image:o38.gif]]<br />
<br />
{{Alg|L U L' U L U' L' U' L' B L B'|OLL}}<br />
{{Alg|y2 R U R' U R U' R' U' R' F R F'|OLL}}<br />
{{Alg|(L' U' L U) y' (R U2 R' U') y (L' U' L)|OLL}}<br />
<br />
|}<br />
<br />
=="L" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 53 ===<br />
[[Image:o53.gif]]<br />
<br />
{{Alg|l' U' L U' L' U L U' L' U2 l|OLL}}<br />
{{Alg|y' l U2 L U L' U' L U L' U' l'|OLL}}<br />
{{Alg|y2 r' U' R U' R' U R U' R' U2 r|OLL}}<br />
{{Alg|y' r' U2 R U R' U' R U R' U r|OLL}}<br />
{{Alg|y' r U2 R' U' R U' r' R U2 R' U' R U' R'|OLL}}<br />
{{Alg|r U R' U R U2 r' R U R' U R U2 R'|OLL}}<br />
{{Alg|F R U R' U' F' R U R' U' R' F R F'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 54 ===<br />
[[Image:o54.gif]]<br />
<br />
{{Alg|r U R' U R U' R' U R U2 r'|OLL}}<br />
{{Alg|y' r U2 R' U' R U R' U' R U' r'|OLL}}<br />
{{Alg|y2 l U L' U L U' L' U L U2 l' |OLL}}<br />
{{Alg|y l' U2 L U L' U' L U L' U' l|OLL}}<br />
{{Alg|y2 r' U' R U' R' U2 r R' U' R U' R' U2 R|OLL}}<br />
{{Alg|y r' U2 R U R' U r R' U2 R U R' U R|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 50 ===<br />
[[Image:o50.gif]]<br />
<br />
{{Alg|y2 R' F R2 B' R2 F' R2 B R'|OLL}}<br />
{{Alg|r' U r2 U' r2' U' r2 U r'|OLL}}<br />
{{Alg|R B' R B R2' U2 F R' F' R|OLL}}<br />
{{Alg|y2 l' U l2 U' l2 U' l2 U l'|OLL}}<br />
{{Alg|r' U2 R2' U R2 U rR U2 R'|OLL}}<br />
{{Alg|y' (R U2 R' U' R U' R') (F R U R' U' F')|OLL}}<br />
{{Alg|(y x') U' r U2 L' U2 r' U2 L U' (x)|OLL}}<br />
<br />
|<br />
<br />
=== OLL 47 ===<br />
[[Image:o47.gif]]<br />
<br />
{{Alg|F' L' U' L U L' U' L U F|OLL}}<br />
{{Alg|R' U' x R' U R U' R' U R U' x' U R|OLL}}<br />
{{Alg|b' U' R' U R U' R' U R b|OLL}}<br />
{{Alg|y' r U R' U R U2 r' R' U2 R U R' U R|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 48 ===<br />
[[Image:o48.gif]]<br />
<br />
{{Alg|F R U R' U' R U R' U' F'|OLL}}<br />
{{Alg|y2 f U R U' R' U R U' R' f'|OLL}}<br />
{{Alg|y r U2 R' U' R U' r' R' U' R U' R' U2 R|OLL}}<br />
{{Alg|y' r' U' R U' R' U2 r R U2 R' U' R U' R'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 49 ===<br />
[[Image:o49.gif]]<br />
<br />
{{Alg|R B' R2 F R2 B R2 F' R|OLL}}<br />
{{Alg|l U' l2' U l2 U l2' U' l|OLL}}<br />
{{Alg|y2 r U' r2 U r2 U r2 U' r|OLL}}<br />
{{Alg|y2 R' F R' F' R2 d2 y' R' F R F'|OLL}}<br />
{{Alg|y2 r U2 R2' U' R2 U' r'R' U2 R|OLL}}<br />
{{Alg|(y' x') U l' U2 R U2 l U2 R' U (x)|OLL}}<br />
{{Alg|y' R' U2 R U R' U R F R U R' U' F'|OLL}}<br />
<br />
|}<br />
<br />
=="C" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 34 ===<br />
[[Image:o34.gif]]<br />
<br />
{{Alg|R U R' U' x D' R' U R E' z'|OLL}}<br />
{{Alg|y2 R' U' R U y' x' R U L' U' M'|OLL}}<br />
{{Alg|R U R' U' y' r' U' R U M'|OLL}}<br />
{{Alg|(R U R' U') B' (R' F R F') B|OLL|vidurl=http://www.youtube.com/watch?v=oDAcz_XIljE}}<br />
{{Alg|R U R' d' l' U' L U r' R|OLL}}<br />
{{Alg|R U R2 U' R' F R U R U' F'|OLL}}<br />
{{Alg|y2 F R U R' U' R' F' r U R U' r'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 46 ===<br />
[[Image:o46.gif]]<br />
<br />
{{Alg|R' U' R' F R F' U R|OLL}}<br />
{{Alg|R' U' l' U l F' U R|OLL}}<br />
{{Alg|y F U F l' U' l U' F'|OLL}}<br />
{{Alg|R U l U' R' U F' l'|OLL}}<br />
{{Alg|y2 L F U' R U R' F' L'|OLL}}<br />
{{Alg|R U R'2 U' R' F R U R U' F|OLL}}<br />
<br />
|}<br />
<br />
=="T" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 33 ===<br />
[[Image:o33.gif]]<br />
<br />
{{Alg|R U R' U' R' F R F'|OLL}}<br />
{{Alg|R' U' R U l U' R' U (x)|OLL}}<br />
<br />
|<br />
<br />
=== OLL 45 ===<br />
[[Image:o45.gif]]<br />
<br />
{{Alg|F (R U R' U') F'|OLL}}<br />
{{Alg|f' (U' L' U L) f|OLL}}<br />
{{Alg|y2 f (U R U' R') f'|OLL}}<br />
{{Alg|y2 F' (L' U' L U) F|OLL}}<br />
<br />
|}<br />
<br />
=="I" shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 55 ===<br />
[[Image:o55.gif]]<br />
<br />
{{Alg|R U2 R2 U' R U' R' U2 F R F'|OLL}}<br />
{{Alg|R' U2 R2 U R' U R U2 y l' U' l|OLL}}<br />
{{Alg|r U2 R2 F R F' U2 r' F R F'|OLL}}<br />
{{Alg|y R' F R U R' F R U' R' F' R U M' U' M|OLL}}<br />
{{Alg|L F' L' U' L F' L' U L F L' U' M' U M|OLL}}<br />
{{Alg|(L F' L' U' L F' L' U L F L' U' L)(R' F R) L'|OLL}}<br />
{{Alg|R d' R2 D R' U2 R D' R2 d R'|OLL}}<br />
A 4x4x4 special: Note: Rra = (R + r) + (L + l) :: (y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'<br />
<br />
|<br />
<br />
=== OLL 56 ===<br />
[[Image:o56.gif]]<br />
{{Alg|r U r' U R U' R' U R U' R' r U' r' |OLL}}<br />
{{Alg|r' U' r U' R' U R U' R' U R r' U r|OLL}}<br />
{{Alg|L F L' U R U' R' U R U' R' L F' L'|OLL}}<br />
{{Alg|F R U R' U' R F' r U R' U' r'|OLL}}<br />
{{Alg|R B R' U L U' L' U L U' L' R B' R'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 51 ===<br />
[[Image:o51.gif]]<br />
<br />
{{Alg|F U R U' R' U R U' R' F'|OLL}}<br />
{{Alg|y2 f R U R' U' R U R' U' f'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 52 ===<br />
[[Image:o52.gif]]<br />
<br />
{{Alg|R' U' R U' R' d R' U R B|OLL}}<br />
{{Alg|R U R' U R d' R U' R' F'|OLL}}<br />
{{Alg|y2 R' U' x U R' U' R U R' U' R x' U R |OLL}}<br />
{{Alg|(R U R' U R U2 R') U (F U R U' R' F')|OLL}}<br />
<br />
|}<br />
<br />
==Square shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 5 ===<br />
[[Image:o5.gif]]<br />
<br />
{{Alg|(r' U2) (R U R' U r)|OLL|vidurl=http://www.youtube.com/watch?v=beKUmNDs-Zo&feature=related}}<br />
{{Alg|y2 l' U2 L U L' U l'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 6 ===<br />
[[Image:o6.gif]]<br />
<br />
{{Alg|y2 (r U2) (R' U' R U') r'|OLL}}<br />
{{Alg|l U2 L' U' L U' l'|OLL}}<br />
<br />
|}<br />
<br />
==Big lightning bolt shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 39 ===<br />
[[Image:o39.gif]]<br />
<br />
{{Alg|L F' L' U' L U F U' L'|OLL}}<br />
{{Alg|y2 f' L F L' U' L' U L S|OLL}}<br />
{{Alg|y2 R U R' F' U' F U R U2 R'|OLL}}<br />
{{Alg|y2 R B' R' U' R U B U' R'|OLL}}<br />
{{Alg|y2 x' R U' x R' U' R U x' U F' l'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 40 ===<br />
[[Image:o40.gif]]<br />
<br />
{{Alg|R' F R U R' U' F' U R|OLL}}<br />
{{Alg|y2 f R' F' R U R U' R' S'|OLL}}<br />
{{Alg|y2 L' B L U L' U' B' U L|OLL}}<br />
<br />
|}<br />
<br />
<br />
==Small lightning bolt shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 7 ===<br />
[[Image:o7.gif]]<br />
<br />
{{Alg|r U R' U R U2 r'|OLL}}<br />
{{Alg|F R' F' R U2 R U2 R'|OLL}}<br />
{{Alg|L' U2 L U2 L F' L' F|OLL}}<br />
<br />
|<br />
<br />
=== OLL 8 ===<br />
[[Image:o8.gif]]<br />
<br />
{{Alg|y2 r' U' R U' R' U2 r|OLL}}<br />
{{Alg|R U2 R' U2 R' F R F'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 11 ===<br />
[[Image:o11.gif]]<br />
<br />
{{Alg|r' R2 U R' U R U2 R' U r R'|OLL}}<br />
{{Alg|y2 r U R' U R' F R F' R U2 r'|OLL}}<br />
{{Alg|y F' L' U' L U F y F R U R' U' F'|OLL}}<br />
{{Alg|R U R' y' U' R' U' R y U R' F' R U R U' R' F|OLL}}<br />
<br />
|<br />
<br />
=== OLL 12 ===<br />
[[Image:o12.gif]]<br />
<br />
{{Alg|F R U R' U' F' y F R U R' U' F'|OLL}}<br />
{{Alg|y F R U R2 F R y' R2 U R U2 R'|OLL}}<br />
{{Alg|y' r R2 U' R U' R' U2 R U' R r'|OLL}}<br />
<br />
|}<br />
<br />
==Fish shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 9 ===<br />
[[Image:o9.gif]]<br />
<br />
{{Alg|y' R' U' R y' x' R U' R' F R U R' x|OLL}}<br />
{{Alg|y' R' U' R x U' R' U y R U y' R U' x'|OLL}}<br />
{{Alg|y' R U R' U' R' F R2 U R' U' F'|OLL}}<br />
{{Alg|y' R' U' R y r U' r' U r U r|OLL}}<br />
<br />
|<br />
<br />
=== OLL 10 ===<br />
[[Image:o10.gif]]<br />
<br />
{{Alg|y' R U R' y R' F R U' R' F' R|OLL}}<br />
{{Alg|y' R U R' y' r' U r U' r' U' r|OLL}}<br />
{{Alg|y' R U R' U R' F R F' R U2 R'|OLL}}<br />
{{Alg|y' R' U' R U R B' R2 U' R U B|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 35 ===<br />
[[Image:o35.gif]]<br />
<br />
{{Alg|R U2 R2' F R F' R U2 R'|OLL}}<br />
{{Alg|y' R' U2 (R l) U' R' U l' U2 R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 37 ===<br />
[[Image:o37.gif]]<br />
<br />
{{Alg|x' U' R U l' U' R' U R|OLL}}<br />
{{Alg|l U' R' U y' R U R' U' z'|OLL}}<br />
{{Alg|y F R U' R' U' R U R' F'|OLL}}<br />
{{Alg|y R' F R F' U' F' U F|OLL}}<br />
{{Alg|y F R' F' R U R U' R'|OLL}}<br />
{{Alg|R B' R' B U B U' B'|OLL}}<br />
<br />
|}<br />
<br />
==Knight move shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 13 ===<br />
[[Image:o13.gif]]<br />
<br />
{{Alg|F U R U' R2 F' R U R U' R'|OLL}}<br />
{{Alg|F U R U2 R' U' R U R' F'|OLL}}<br />
{{Alg|r U' r' U' r U r' y' R' U R|OLL}}<br />
{{Alg|y2 x' R U' R' F' R U R' x y R' U R|OLL}}<br />
{{Alg|y2 f R U R2 U' R' U R U' f'|OLL}}<br />
<br />
|<br />
<br />
=== OLL 14 ===<br />
[[Image:o14.gif]]<br />
<br />
{{Alg|R' F R U R' F' R y' R U' R'|OLL}}<br />
{{Alg|y' R' U' y' R' U R2 B R' U' R' U R|OLL}}<br />
{{Alg|y2 B' U' R' U R2 B R' U' R' U R|OLL}}<br />
{{Alg|y2 x' R U' R' F' R U R' x y R' U R|OLL}}<br />
{{Alg|y2 r' U r U r' U' r y R U' R'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 15 ===<br />
[[Image:o15.gif]]<br />
<br />
{{Alg|y2 l' U' l L' U' L U l' U l|OLL}}<br />
{{Alg|y2 R' F' R L' U' L U R' F R|OLL}}<br />
{{Alg|r' U' r R' U' R U r' U r|OLL}}<br />
<br />
|<br />
<br />
=== OLL 16 ===<br />
[[Image:o16.gif]]<br />
<br />
{{Alg|y2 r U r' R U R' U' r U' r'|OLL}}<br />
{{Alg|y2 r U M U R' U' r U' r'|OLL}}<br />
{{Alg|y2 F' R U R' U' R' F R U' y' R' U R U y R U' R'|OLL}}<br />
<br />
|}<br />
<br />
==Awkward shapes==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 29 ===<br />
[[Image:o29.gif]]<br />
<br />
{{Alg|y2 R' F R F' R U2 R' d' L' U' L|OLL}}<br />
{{Alg|y2 R' F R F' R U2 R' U' y' R' U' R|OLL}}<br />
{{Alg|y2 R2' U' R F R' U R2' U' R' F' R|OLL}}<br />
{{Alg|y (R U R' U') (R U' R' F') U' (F R U R')|OLL}}<br />
{{Alg|y R' U2 R2 U R' U' R' U2 F R F'|OLL}}<br />
{{Alg|M U (R U R' U') (R' F R F') M'|OLL}}<br />
{{Alg|y2 r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}<br />
<br />
|<br />
<br />
=== OLL 30 ===<br />
[[Image:o30.gif]]<br />
<br />
{{Alg|y2 F R' F R2 U' R' U' R U R' F2|OLL}}<br />
{{Alg|l U' R' U l' U2 d L U L'|OLL}}<br />
{{Alg|f R U R2 U' R' U R2 U' R' f'|OLL}}<br />
{{Alg|y2 F U R U' x' U R' D' R U' R'|OLL}}<br />
{{Alg|R2' U R' B' R U' R2' U R B R'|OLL}}<br />
{{Alg|M U' (L' U' L U) (L F' L' F) M'|OLL}}<br />
{{Alg|y2 M' U' (R' U' R U) x (R U' R' U) M x|OLL}}<br />
{{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}<br />
<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 41 ===<br />
[[Image:o41.gif]]<br />
<br />
{{Alg|R U' R' U2 R U y R U' R' y' U' R'|OLL}}<br />
{{Alg|y R U2' R' U' R U' R2 (y) L' U' L U F|OLL}}<br />
{{Alg|y2 F U R U' R' F' R' U2 R U R' U R|OLL}}<br />
{{Alg|y2 R U R' U R U2 R' F R U R' U' F'|OLL}}<br />
{{Alg|y2 r R2 y' R' U' R U y R U' M|OLL}}<br />
{{Alg|y2 R2 L z' l' U' R d L U' L l'|OLL}}<br />
{{Alg|y' (L F' L' F)*2 L U' L' U L U' L|OLL}}<br />
<br />
|<br />
<br />
=== OLL 42 ===<br />
[[Image:o42.gif]]<br />
<br />
{{Alg|r' R2 y R U R' U' y' R' U M'|OLL}}<br />
{{Alg|R' U' R U F R U R' U' R' U R U' F'|OLL}}<br />
{{Alg|L' U L U2 L' U' y' L' U L U F|OLL}}<br />
{{Alg|y R' U2 R U R' U R2 y R U R' U' F'|OLL}}<br />
{{Alg|y (R' F R F')*2 R U R' U' R U R'|OLL}}<br />
{{Alg|y2 L2 R' z r U L' d' R' U R' r|OLL}}<br />
<br />
|}<br />
<br />
==All Corners Oriented==<br />
{|border="0" width="100%" valign="top" cellpadding="3"<br />
|-valign="top"<br />
|<br />
<br />
=== OLL 28 ===<br />
[[Image:o28.gif]]<br />
<br />
{{Alg|r U R' U' r' R U R U' R'|OLL}}<br />
{{Alg|y r U2 R' U' R U' r' R U R' U R U2 R'|OLL}}<br />
{{Alg|r U R' U R U2 r' R U2 R' U' R U' R'|OLL}}<br />
{{Alg|y r' U' R U' R' U2 r R' U2 R U R' U R|OLL}}<br />
{{Alg|y' r' U' R U M' U' R' U R|OLL}}<br />
{{Alg|r' U2 R U R' U r R' U' R U' R' U2 R|OLL}}<br />
{{Alg|F R U R' U' F' U2 F R U R' U' F'|OLL}}<br />
{{Alg|F R U R' U' F2 L' U' L U F|OLL}}<br />
{{Alg|M U M' U2 M U M'|OLL}}<br />
{{Alg|y M U' M' U2 M U' M'|OLL}}<br />
{{Alg|y2 M' U M U2 M' U M|OLL}}<br />
{{Alg|y' M U M2 U M' U2 M U M |OLL}}<br />
{{Alg|M U M U M' U' M U' M U M |OLL}}<br />
{{Alg|M U M' U M U2 M' U' M U' M'|OLL}}<br />
{{Alg|y M U' M U' M' U M U M U' M |OLL}}<br />
{{Alg|y2 M U' M2 U' M' U2 M U' M |OLL}}<br />
{{Alg|y' M U M' U M U M' U M U M' |OLL}}<br />
{{Alg|y' M' U' M U M U M U' M U' M' U M2|OLL}}<br />
{{Alg|y' M2 U M' U2 M U M U M U2 M' U M|OLL}}<br />
{{Alg|y2 M' U M U' M U' M U M U M' U' M2 |OLL}}<br />
{{Alg|M U' M2 U2 M' U' M U2 M U' M U' M' |OLL}}<br />
{{Alg|y' M' U' F2 M2 U' M U F2 U M2 |OLL}}<br />
{{Alg|y2 M' U F2 M2 U M U' F2 U' M2 |OLL}}<br />
{{Alg|R' F R S R' F' R S' |OLL}}<br />
{{Alg|L2 S U' S' U L2 U S U S' |OLL}}<br />
{{Alg|y L F' L' S' L F L'S |OLL}}<br />
<br />
|<br />
<br />
=== OLL 57 ===<br />
[[Image:o57.gif]]<br />
<br />
{{Alg|R U R' U' r R' U R U' r'|OLL}}<br />
{{Alg|(x') M' U' R U M U' R' U (x)|OLL}}<br />
{{Alg|R' U' R U M U' R' U r|OLL}}<br />
{{Alg|M U M U M U2 M' U M' U M' |OLL}}<br />
{{Alg|M U M U M U2 M' U M' U M' |OLL}}<br />
{{Alg|M' U' M' U' M' U2 M U' M U' M|OLL}}<br />
{{Alg|M U M' U' M U M' U M U2 M'|OLL}}<br />
{{Alg|M' U' M U M' U' M U' M' U2 M|OLL}}<br />
{{Alg|M U M2 U2 M U M U2 M U' M' U' M'|OLL}}<br />
{{Alg|M' U' M2 U2 M' U' M' U2 M' U M U M|OLL}}<br />
{{Alg|M2 U' M U M' U M' U' M' U' M' U M |OLL}}<br />
{{Alg|M2 U' M' U M U M U' M U' M U M' |OLL}}<br />
{{Alg|y M' U M' U M' U M' U M' U' M' U' M' U' M' |OLL}}<br />
{{Alg|y M' U M U M' U M U' M' U' M|OLL}}<br />
{{Alg|y M' U' M U' M' U' M U M' U M|OLL}}<br />
{{Alg|y M U' M' U' M U' M' U M U M'|OLL}}<br />
{{Alg|y M U M' U M U M' U' M U' M'|OLL}}<br />
{{Alg|M U M' U' F2 M U M' U' F2 |OLL}}<br />
{{Alg|M' U' M U F2 M' U' M U F2|OLL}}<br />
{{Alg|M2 U' F2 U' M' U M2 F2 U M|OLL}}<br />
{{Alg|F M' F U M2 U2 M2 U F' M F' |OLL}}<br />
<br />
|}<br />
<br />
== See Also ==<br />
* [[OLL (2x2x2)]]<br />
* [[2-Look OLL]]<br />
* [[PLL]]<br />
<br />
[[Category:Methods]]<br />
[[Category:3x3x3 Methods]]<br />
[[Category:Last Layer Methods]]<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
[[Category:Algorithms]]<br />
[[Category:Sub Steps]]<br />
<br />
== External Links ==<br />
<br />
* [http://www.kungfoomanchu.com/#333oll Printable OLL PDF] (All OLL algs in one page and color coded)<br />
* [http://mordred.awardspace.us/OLLCheatSheet.pdf OLL Cheat Sheet] (Printable PDF of all OLL algorithms on 2 pages. Can be printed Double Sided)</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Rubik_IRC_Channel&diff=8288
Rubik IRC Channel
2010-05-26T17:28:15Z
<p>AndyK: </p>
<hr />
<div>'''<nowiki>#</nowiki>rubik''' is a chatroom where discussion about the [[Rubik's cube]] (and all forms of [[cubing]]) takes place. It can move off topic from time to time.<br />
<br />
=== Accessing the channel ===<br />
<br />
If you don't have an IRC client, but you do have Java installed, you can visit the chatroom by going [http://strangepuzzle.com/chat.php here].<br />
<br />
If you do have an IRC client, you can access the channel by visiting the channel '''#rubik''' on server '''irc.ircstorm.net'''. If you can use the IRC URI, here is a [irc:///irc.ircstorm.net:6667/rubik direct link] to the channel.<br />
<br />
=== Creating an Official Nickname ===<br />
First, you must be using the nickname you wish to register. If this isn't the nickname you wish to use, type: /nick X (where X = the nickname you wish to use)<br />
<br />
After that, type: /ns register PW EMAIL (case sensitive unique PASSWORD at least 5 chars, and your EMAIL address) <br />
<br />
Here's an example: /ns register acme123 johndoe@aol.com<br />
<br />
Next time you log on you will have 60 seconds to enter the password for your new account, do this by typing: /msg NickServ IDENTIFY PW (where PW is your new password)<br />
<br />
=== Team # ===<br />
<br />
The IRC channel has spawned a group of cubers that visit regularly and identify as a team. They compete for the USA and several European countries. There is no official listing of the members, but rather membership is based on a general consensus of people who often hang out in the channel.<br />
<br />
=== Alternative rooms ===<br />
<br />
There are several alternative rooms that cubers use occasionally, such as '''<nowiki>#</nowiki>teamsolve''' and a hidden room.<br />
<br />
==Swedish/Hungarian==<br />
There is also a (mostly) Swedish speaking #rubik at the Quakenet. At the Quakenet you can also find the Hungarian speaking #rubikkocka. [http://webchat.quakenet.org/?nick=nick&channels=rubik&prompt=1| java based Quakenet client]<br />
<br />
[[Category:Cubing Community]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Rubik_IRC_Channel&diff=8287
Rubik IRC Channel
2010-05-26T17:27:29Z
<p>AndyK: /* Accessing the channel */</p>
<hr />
<div>'''<nowiki>#</nowiki>rubik''' is a chatroom where discussion about the [[Rubik's cube]] (and all forms of [[cubing]]) takes place. It can move off topic from time to time.<br />
<br />
=== Accessing the channel ===<br />
<br />
If you don't have an IRC client, but you do have Java installed, you can visit the chatroom by going [http://strangepuzzle.com/chat.php here].<br />
<br />
If you do have an IRC client, you can access the channel by visiting the channel '''#rubik''' on server '''irc.ircstorm.net'''. If you can use the IRC URI, here is a [irc:///irc.ircstorm.net:6667/rubik direct link] to the channel.<br />
<br />
=== Team # ===<br />
<br />
The IRC channel has spawned a group of cubers that visit regularly and identify as a team. They compete for the USA and several European countries. There is no official listing of the members, but rather membership is based on a general consensus of people who often hang out in the channel.<br />
<br />
=== Alternative rooms ===<br />
<br />
There are several alternative rooms that cubers use occasionally, such as '''<nowiki>#</nowiki>teamsolve''' and a hidden room.<br />
<br />
==Swedish/Hungarian==<br />
There is also a (mostly) Swedish speaking #rubik at the Quakenet. At the Quakenet you can also find the Hungarian speaking #rubikkocka. [http://webchat.quakenet.org/?nick=nick&channels=rubik&prompt=1| java based Quakenet client]<br />
<br />
[[Category:Cubing Community]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=Rubik_IRC_Channel&diff=8286
Rubik IRC Channel
2010-05-26T17:01:30Z
<p>AndyK: </p>
<hr />
<div>'''<nowiki>#</nowiki>rubik''' is a chatroom where discussion about the [[Rubik's cube]] (and all forms of [[cubing]]) takes place. It can move off topic from time to time.<br />
<br />
=== Accessing the channel ===<br />
<br />
If you don't have an IRC client, but you do have Java installed, you can visit the chatroom by going [http://strangepuzzle.com/chat.php here].<br />
<br />
If you do have an IRC client, you can access the channel by visiting the channel '''#rubik''' on server '''irc.ircstorm.net'''. If you can use the IRC URI, here is a [irc:///irc.ircstorm.net:6667/rubik direct link] to the channel.<br />
<br />
Enter "/msg nickserv help register" to create an official username<br />
<br />
=== Team # ===<br />
<br />
The IRC channel has spawned a group of cubers that visit regularly and identify as a team. They compete for the USA and several European countries. There is no official listing of the members, but rather membership is based on a general consensus of people who often hang out in the channel.<br />
<br />
=== Alternative rooms ===<br />
<br />
There are several alternative rooms that cubers use occasionally, such as '''<nowiki>#</nowiki>teamsolve''' and a hidden room.<br />
<br />
==Swedish/Hungarian==<br />
There is also a (mostly) Swedish speaking #rubik at the Quakenet. At the Quakenet you can also find the Hungarian speaking #rubikkocka. [http://webchat.quakenet.org/?nick=nick&channels=rubik&prompt=1| java based Quakenet client]<br />
<br />
[[Category:Cubing Community]]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=PLL&diff=8155
PLL
2010-04-20T18:09:48Z
<p>AndyK: /* H Permutation */</p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.<br />
<br />
<strong>Click on an algorithm (not the camera icon) to watch an animation of it.</strong><br />
<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}<br />
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}<br />
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}<br />
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}<br />
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}<br />
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}<br />
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}<br />
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}<br />
{{Alg|L R U2 L' R' y L' R' U2 L R|PLL}}<br />
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}<br />
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}<br />
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}<br />
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}<br />
{{Alg|M2 U M' U2 M U M2|PLL}}<br />
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}<br />
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}<br />
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}<br />
{{Alg|B2 U' M U2 M' U' B2|PLL}}<br />
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}<br />
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}<br />
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}<br />
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}<br />
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}<br />
{{Alg|M2 U' M' U2 M U' M2|PLL}}<br />
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}<br />
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}<br />
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}<br />
{{Alg|B2 U M U2 M' U B2|PLL}}<br />
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}<br />
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}<br />
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}<br />
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}<br />
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}<br />
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}<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|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}<br />
{{Alg|y 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|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|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}<br />
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|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|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}<br />
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}<br />
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}<br />
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}<br />
{{Alg|M2 U' M E2 M E2 U M2|PLL}}<br />
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|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}}<br />
{{Alg|y 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|(x2 y) M2 U S2 U' S' M2 S|PLL}}<br />
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}<br />
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|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|PLL}}<br />
<br />
==Permutations of Corners Only==<br />
This is also known as '''CPLL''' (Corner Permute Last Layer).<br />
<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}<br />
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}<br />
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}<br />
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}<br />
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}<br />
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}<br />
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}<br />
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}<br />
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}<br />
<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
{{Alg|R B' R F2 R' B R F2 R2 |PLL}}<br />
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}<br />
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}<br />
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}<br />
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}<br />
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}<br />
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}<br />
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}<br />
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}<br />
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}<br />
<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}<br />
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}<br />
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}<br />
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}<br />
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}<br />
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}<br />
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}<br />
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}<br />
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}<br />
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}<br />
{{Alg|R2 U R' y (R U' R' U)3 y' R U' R2|PLL}}<br />
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}<br />
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}<br />
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}<br />
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}<br />
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}<br />
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}<br />
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}<br />
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}<br />
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}<br />
{{Alg|U2 (R L' U' L U R' U' L' U L) U2 (r U R' U' L' U R U')|PLL}}<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}<br />
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}<br />
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}<br />
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}<br />
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}<br />
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}<br />
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}<br />
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}<br />
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}<br />
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}<br />
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}<br />
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}<br />
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}<br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
{{Alg|(y) R2' u R' U R' U' R u' R2 y' R' U R|PLL}}<br />
{{Alg|(y) R2 D B' U B' U' B D' R2 F' U F|PLL}}<br />
{{Alg|(y2) F2' D R' U R' U' R D' F2 L' U L|PLL}}<br />
{{Alg|R L U2 R' L' y' R' U L' U2 R U' L|PLL}}<br />
{{Alg|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
{{Alg|R' U' R y R2 u R' U R U' R u' R2|PLL}}<br />
{{Alg|R' U' R B2 D L' U L U' L D' B2|PLL}}<br />
{{Alg|(y2) L' U' L y' R2' u R' U R U' R u' R2 |PLL}}<br />
{{Alg|(y') R' U L' U2 R U' L y R L U2 L' R'|PLL}}<br />
{{Alg|(y2) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
{{Alg|(y) R2' u' R U' R U R' u R2 y R U' R'|PLL}}<br />
{{Alg|(y) R2' u' R U' R U R' u R2 B U' B'|PLL}}<br />
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}<br />
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}<br />
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}<br />
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}<br />
{{Alg|(y') d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
{{Alg|(y2) R U R' y' R2 u' R U' R' U R' u R2|PLL}}<br />
{{Alg|(y2) R U R' F2 D' L U' L' U L' D F2|PLL}}<br />
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l x|PLL}}<br />
{{Alg|(y) L U' R U2 L' U R' y R' L' U2 R L|PLL}}<br />
{{Alg|(y) L U' R U2 L' U R' y' L' R' U2 L R|PLL}}<br />
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}<br />
{{Alg|(y2) d' L U2 L' U' L U L' U' L U R' U2 R U R' U RU' R' U L' U' R|PLL}}<br />
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}<br />
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}<br />
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}<br />
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}<br />
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}<br />
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}<br />
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}<br />
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}<br />
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}<br />
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}<br />
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}<br />
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}<br />
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}<br />
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}<br />
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}<br />
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}<br />
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}<br />
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}<br />
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}<br />
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}<br />
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}<br />
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}<br />
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}<br />
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}<br />
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}<br />
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}<br />
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}<br />
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}<br />
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}<br />
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}<br />
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}<br />
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}<br />
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}<br />
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}<br />
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}<br />
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}<br />
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}<br />
{{Alg|z U R' U' R U F R F' U' R' U F' U F U' R U' |PLL}}<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}<br />
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}<br />
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}<br />
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}<br />
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}<br />
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}<br />
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}<br />
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}<br />
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}<br />
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}<br />
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}<br />
<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}<br />
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}<br />
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}<br />
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}<br />
{{Alg|y2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}<br />
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}<br />
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}<br />
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}<br />
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}<br />
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}<br />
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}<br />
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}<br />
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}<br />
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}<br />
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}<br />
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}<br />
<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}<br />
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}<br />
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}<br />
{{Alg|y2 B L U' L' U L U L2 B' L U L U' L'|PLL}}<br />
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}<br />
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}<br />
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}<br />
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}<br />
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}<br />
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}<br />
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}<br />
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}<br />
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}<br />
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}<br />
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}<br />
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}<br />
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}<br />
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}<br />
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}<br />
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}<br />
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}<br />
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}<br />
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}<br />
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}<br />
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}<br />
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}<br />
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}<br />
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}<br />
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}<br />
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}<br />
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}<br />
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}<br />
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}<br />
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}<br />
<br />
<br />
<br>{{PLL}}<br />
<br />
== See Also ==<br />
* [[2-Look PLL]]<br />
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]<br />
<br />
[[Category:Methods]]<br />
[[Category:3x3x3 Methods]]<br />
[[Category:Last Layer Methods]]<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
[[Category:Algorithms]]<br />
[[Category:Sub Steps]]<br />
<br />
== External Links ==<br />
<br />
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]</div>
AndyK
https://www.speedsolving.com/wiki/index.php?title=PLL&diff=8139
PLL
2010-04-17T16:03:19Z
<p>AndyK: /* E Permutation */</p>
<hr />
<div>__NOTOC__<br />
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].<br />
{{PLL}}<br />
<br />
Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.<br />
<br />
<strong>Click on an algorithm (not the camera icon) to watch an animation of it.</strong><br />
<br />
<br />
==Permutations of Edges Only==<br />
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).<br />
<br />
===H Permutation===<br />
<br />
[[Image:h.gif]]<br />
<br />
{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}<br />
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}<br />
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}<br />
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}<br />
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}<br />
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}<br />
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}<br />
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}<br />
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}<br />
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}<br />
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}<br />
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}<br />
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}<br />
<br />
===U Permutation : a===<br />
<br />
[[Image:u1.gif]]<br />
<br />
{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}<br />
{{Alg|M2 U M' U2 M U M2|PLL}}<br />
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}<br />
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}<br />
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}<br />
{{Alg|B2 U' M U2 M' U' B2|PLL}}<br />
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}<br />
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}<br />
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}<br />
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}<br />
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}<br />
<br />
===U Permutation : b===<br />
<br />
[[Image:u.gif]]<br />
<br />
{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}<br />
{{Alg|M2 U' M' U2 M U' M2|PLL}}<br />
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}<br />
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}<br />
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}<br />
{{Alg|B2 U M U2 M' U B2|PLL}}<br />
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}<br />
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}<br />
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}<br />
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}<br />
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}<br />
<br />
===Z Permutation===<br />
<br />
[[Image:z.gif]]<br />
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}<br />
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}<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|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}<br />
{{Alg|y 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|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|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}<br />
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|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|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}<br />
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}<br />
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}<br />
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}<br />
{{Alg|M2 U' M E2 M E2 U M2|PLL}}<br />
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|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}}<br />
{{Alg|y 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|(x2 y) M2 U S2 U' S' M2 S|PLL}}<br />
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}<br />
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|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|PLL}}<br />
<br />
==Permutations of Corners Only==<br />
This is also known as '''CPLL''' (Corner Permute Last Layer).<br />
<br />
<br />
===A Permutation : a===<br />
<br />
[[Image:a1.gif]]<br />
<br />
{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}<br />
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}<br />
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}<br />
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}<br />
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}<br />
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}<br />
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}<br />
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}<br />
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}<br />
<br />
<br />
===A Permutation : b===<br />
<br />
[[Image:a.gif]]<br />
<br />
{{Alg|R B' R F2 R' B R F2 R2 |PLL}}<br />
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}<br />
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}<br />
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}<br />
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}<br />
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}<br />
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}<br />
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}<br />
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}<br />
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}<br />
<br />
<br />
===E Permutation===<br />
<br />
[[Image:e.gif]]<br />
<br />
{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}<br />
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}<br />
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}<br />
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}<br />
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}<br />
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}<br />
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}<br />
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}<br />
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}<br />
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}<br />
{{Alg|R2 U R' y (R U' R' U)3 y' R U' R2|PLL}}<br />
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}<br />
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}<br />
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}<br />
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}<br />
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}<br />
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}<br />
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}<br />
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}<br />
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}<br />
{{Alg|U2 (R L' U' L U R' U' L' U L) U2 (r U R' U' L' U R U')|PLL}}<br />
<br />
==Permutations of Edges and Corners==<br />
<br />
<br />
===F Permutation===<br />
<br />
[[Image:f.gif]]<br />
<br />
{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}<br />
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}<br />
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}<br />
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}<br />
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}<br />
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}<br />
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}<br />
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}<br />
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}<br />
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}<br />
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}<br />
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}<br />
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}<br />
<br />
===G Permutation : a===<br />
<br />
[[Image:g3.gif]]<br />
<br />
{{Alg|(y) R2' u R' U R' U' R u' R2 y' R' U R|PLL}}<br />
{{Alg|(y) R2 D B' U B' U' B D' R2 F' U F|PLL}}<br />
{{Alg|(y2) F2' D R' U R' U' R D' F2 L' U L|PLL}}<br />
{{Alg|R L U2 R' L' y' R' U L' U2 R U' L|PLL}}<br />
{{Alg|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}<br />
<br />
===G Permutation : b===<br />
<br />
[[Image:g2.gif]]<br />
<br />
{{Alg|R' U' R y R2 u R' U R U' R u' R2|PLL}}<br />
{{Alg|R' U' R B2 D L' U L U' L D' B2|PLL}}<br />
{{Alg|(y2) L' U' L y' R2' u R' U R U' R u' R2 |PLL}}<br />
{{Alg|(y') R' U L' U2 R U' L y R L U2 L' R'|PLL}}<br />
{{Alg|(y2) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}<br />
<br />
===G Permutation : c===<br />
<br />
[[Image:g1.gif]]<br />
{{Alg|(y) R2' u' R U' R U R' u R2 y R U' R'|PLL}}<br />
{{Alg|(y) R2' u' R U' R U R' u R2 B U' B'|PLL}}<br />
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}<br />
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}<br />
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}<br />
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}<br />
{{Alg|(y') d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}<br />
<br />
===G Permutation : d===<br />
<br />
[[Image:g.gif]]<br />
<br />
{{Alg|(y2) R U R' y' R2 u' R U' R' U R' u R2|PLL}}<br />
{{Alg|(y2) R U R' F2 D' L U' L' U L' D F2|PLL}}<br />
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l x|PLL}}<br />
{{Alg|(y) L U' R U2 L' U R' y R' L' U2 R L|PLL}}<br />
{{Alg|(y) L U' R U2 L' U R' y' L' R' U2 L R|PLL}}<br />
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}<br />
{{Alg|(y2) d' L U2 L' U' L U L' U' L U R' U2 R U R' U RU' R' U L' U' R|PLL}}<br />
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))<br />
<br />
===J Permutation : a===<br />
<br />
[[Image:j1.gif]]<br />
<br />
{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}<br />
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}<br />
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}<br />
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}<br />
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}<br />
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}<br />
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}<br />
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}<br />
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}<br />
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}<br />
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}<br />
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}<br />
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}<br />
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}<br />
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}<br />
<br />
===J Permutation : b===<br />
<br />
[[Image:j.gif]]<br />
<br />
{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}<br />
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}<br />
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}<br />
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}<br />
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}<br />
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}<br />
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}<br />
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}<br />
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}<br />
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}<br />
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}<br />
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}<br />
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}<br />
<br />
===N Permutation : a===<br />
<br />
[[Image:n1.gif]]<br />
<br />
{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}<br />
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}<br />
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}<br />
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}<br />
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}<br />
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}<br />
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}<br />
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}<br />
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}<br />
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}<br />
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}<br />
{{Alg|z U R' U' R U F R F' U' R' U F' U F U' R U' |PLL}}<br />
<br />
===N Permutation : b===<br />
<br />
[[Image:n.gif]]<br />
<br />
{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}<br />
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}<br />
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}<br />
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}<br />
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}<br />
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}<br />
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}<br />
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}<br />
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}<br />
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}<br />
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}<br />
<br />
<br />
===R Permutation : a===<br />
<br />
[[Image:r1.gif]]<br />
<br />
{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}<br />
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}<br />
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}<br />
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}<br />
{{Alg|y2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}<br />
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}<br />
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}<br />
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}<br />
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}<br />
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}<br />
<br />
===R Permutation : b===<br />
<br />
[[Image:r.gif]]<br />
<br />
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}<br />
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}<br />
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}<br />
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}<br />
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}<br />
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}<br />
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}<br />
<br />
<br />
===T Permutation===<br />
<br />
[[Image:t.gif]]<br />
<br />
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}<br />
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}<br />
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}<br />
{{Alg|y2 B L U' L' U L U L2 B' L U L U' L'|PLL}}<br />
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}<br />
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}<br />
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}<br />
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}<br />
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}<br />
<br />
===V Permutation===<br />
<br />
[[Image:V.gif]]<br />
<br />
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}<br />
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}<br />
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}<br />
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}<br />
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}<br />
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}<br />
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}<br />
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}<br />
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}<br />
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}<br />
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}<br />
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}<br />
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}<br />
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}<br />
<br />
===Y Permutation===<br />
<br />
[[Image:Y.gif]]<br />
<br />
{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}<br />
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}<br />
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}<br />
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}<br />
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}<br />
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}<br />
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}<br />
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}<br />
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}<br />
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}<br />
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}<br />
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}<br />
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}<br />
<br />
<br />
<br>{{PLL}}<br />
<br />
== See Also ==<br />
* [[2-Look PLL]]<br />
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]<br />
<br />
[[Category:Methods]]<br />
[[Category:3x3x3 Methods]]<br />
[[Category:Last Layer Methods]]<br />
[[Category:Cubing Terminology]]<br />
[[Category:Abbreviations and Acronyms]]<br />
[[Category:Algorithms]]<br />
[[Category:Sub Steps]]<br />
<br />
== External Links ==<br />
<br />
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)<br />
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]</div>
AndyK