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First Two Layers

2017-01-07T14:02:55Z

Wik: /* Advanced */

{{Substep Infobox
|name=F2L
|image=F2Linfo.png
|proposers=[[René Schoof]]
|year=1981
|anames=First Two Layers
|variants=[[ZBLS]], [[VHF2L]], [[WV]], [[MGLS]], possibly others
|subgroup=<nowiki><U,R,L,F,B></nowiki>
|algs=0 to 41; hundreds more with [[Advanced F2L]]
|moves=6.7 [[HTM]] per slot; ~26.8 [[HTM]] per four slots
|purpose=
* [[Speedsolving]], [[FMC]]
|previous=[[Cross cube state]]
|next=[[F2L cube state]]
|previousimage=[[Image:VisualCube_3_Egell.png|120px|left|link=Cross cube state]]
|nextimage=[[Image:F2L_higlight.jpg|120px|right|link=F2L cube state]]

}}
'''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.

The definition is a little different depending on the subject or who you are talking to. Usually, it refers to the part of the [[CFOP]] and [[CFCE]] methods that solve the first two layers in [[pair]]s, excluding the [[cross]] step.

[[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.

 

== Approaches ==

=== Petrus F2L ===

Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.

=== Fridrich F2L ===
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.

The concept of pairing up four corner/edge pairs was first proposed by [[René Schoof]] in 1981.

{{F2L}}

==Easy Cases==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 1 ===
[[Image:F2L01.png]]

{{Alg|U (R U' R')|F2L}}
{{Alg|R' F R F'|F2L}}
{{Alg|U2 (R U2 R')|F2L}}

|

=== F2L 2 ===
[[Image:F2L02.png]]

{{Alg|y' U' (R' U R)|F2L}}
{{Alg|U' (F' U F)|F2L}}
{{Alg|F R' F' R|F2L}}
{{Alg|d' L' U L|F2L}}
{{Alg|r U R' U' M|F2L}}
{{Alg|(U2) l R U' R' U l'|F2L}}
{{Alg|(U2) l2 F' l' U l'|F2L}}
{{Alg|(U') F R' F' R2 U' R'|F2L}}

|-valign="top"
|

=== F2L 3 ===
[[Image:F2L03.png]]

{{Alg|y' (R' U' R)|F2L}}
{{Alg|y (L' U' L)|F2L}}
{{alg|F' U' F|F2L}}
{{Alg|U M R U' R' U M'|F2L}}
{{Alg|U r' R2 U' R' U M'|F2L}}

|

=== F2L 4 ===
[[Image:F2L04.png]]

{{Alg|(R U R')|F2L}}
{{Alg|(U2) L (R U' R') U L'|F2L}}

|-valign="top"
|}

==Reposition Edge==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 5 ===
[[Image:F2L05.png]]

{{Alg|(U' R U R') U2 (R U' R')|F2L}}
{{Alg|(U' R U R') U (R' F R F')|F2L}}
{{Alg|F2 (L' U' L U) F2|F2L}}
{{Alg|L U' R U L' R' U2 R U' R'|F2L}}
{{Alg|U' (R U R') U' R U2 R'|F2L}}

|

=== F2L 6 ===
[[Image:F2L06.png]]

{{Alg|d (R' U' R) U2' (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}
{{Alg|U' (r U' R' U) (R U r')|F2L}}
{{Alg|R2 (B U B' U') R2|F2L}}
{{Alg|y F2 (R U R' U') F2|F2L}}

|-valign="top"
|

=== F2L 7 ===
[[Image:F2L07.png]]

{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}
{{Alg|U' R U2 R' U' R U2 R'|F2L}}
{{Alg|M' U' M U2 r U' r'|F2L}}
{{Alg|R U B U2 B' U R'|F2L}}

|

=== F2L 8 ===
[[Image:F2L08.png]]

{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}
{{Alg|y' R' U' F' U2 F U' R|F2L}}

|-valign="top"
|}

==Reposition Edge and Flip Corner==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 9 ===
[[Image:F2L09.png]]

{{Alg|U' R U' R' d R' U' R |F2L}}
{{Alg|d (R' U' R U') (R' U' R)|F2L}}
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}
{{Alg|U r U R' U' R2 r' U' R'|F2L}}
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}
{{Alg|F (R U R' U') F' R U' R'|F2L}}
{{Alg|(U F' U' F) U' (F' U' F)|F2L}}
{{Alg|y F2 (U R U' R') F2|F2L}}

|

=== F2L 10 ===
[[Image:F2L10.png]]

{{Alg|U' (R U R' U)(R U R')|F2L}}
{{Alg|R d' R U R' U2 F'|F2L}}
{{Alg|U F' U F U' R U R'|F2L}}
{{Alg|d R' U R d' R U R'|F2L}}
{{Alg|y2 B2 (U' R' U R) B2|F2L}}

Back Right Slot Open: R' U R2 U R'

|-valign="top"
|

=== F2L 11 ===
[[Image:F2L11.png]]

{{Alg|U' (R U2' R') d (R' U' R)|F2L}}
{{Alg|(y) L' d L' U2 L U2 F|F2L}}
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}
{{Alg|U (F R' F' R)2 U' R U R'|F2L}}
{{Alg|(y') R U2 R2 U' R2 U' R'|F2L}}
{{Alg|U' l F U' R U l' U R'|F2L}}
|

=== F2L 12 ===
[[Image:F2L12.png]]

{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}
{{Alg|d (R' U2 R) d' (R U R')|F2L}}
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}
{{Alg|R' U2 R2 U R2 U R|F2L}}
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}
{{Alg|(U R U' R') U' (R U R' U') (R U R')|F2L}}
Back right slot open: R' U2 R2 U R'

|-valign="top"
|

=== F2L 13 ===
[[Image:F2L13.png]]

{{Alg|d (R' U R U') (R' U' R)|F2L}}
{{Alg|y' U (R' U R U') (R' U' R)|F2L}}
{{Alg|(U F' U F) U' (F' U' F)|F2L}}
{{Alg|M' U' (R U R') U' (R U2 r')|F2L}}
{{Alg|(R U' R') U (R' F R F') (R U' R')|F2L}}
{{Alg|(R U R') d' (L' U' L U) (L' U' L)|F2L}}
{{Alg|(R U' R' U2) (R U' l U' R' U l')|F2L}}
Back right slot open : R' U R F' U' F

|

=== F2L 14 ===
[[Image:F2L14.png]]

{{Alg|U' (R U' R' U) (R U R')|F2L}}
{{Alg|d' F U' F' d R U R'|F2L}}

|-valign="top"
|}

==Split Pair by Going Over==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 15 ===
[[Image:F2L15.png]]

{{Alg|M U L F' L' U' M'|F2L}}
{{Alg|R B L U' L' B' R'|F2L}}
{{Alg|U (R' F R F') U (R U R')|F2L}}
{{Alg|y' (R' U R U') d' (R U R')|F2L}}
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}
{{Alg|U' R2 U2 R U' R' U R' U2 R2|F2L}}
{{Alg|U2 (R U R' U') R U2 R' U R U R'|F2L}}
Front left slot open: U (R U' R') D (R U' R') D'

Back right slot open: U' (R' U R U') (R U R')

=== F2L 16 ===
[[Image:F2L16.png]]

{{Alg|(R U' R' U) d (R' U' R)|F2L}}
{{Alg|(R U' R') U2 (F' U' F)|F2L}}
{{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}
{{Alg|(U) R (F R U R' U' F') R'|F2L}}
{{Alg|(U) M' (U R U' r') (U' R U R')|F2L}}
{{Alg|y' U R U2 R U' R U R' U2 R'|F2L}}
{{Alg|y M U' R' F R U M' y'|F2L}}

|-valign="top"
|

=== F2L 17 ===
[[Image:F2L17.png]]

{{Alg|(R U2 R') U' (R U R')|F2L}}

|

=== F2L 18 ===
[[Image:F2L18.png]]

{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}
{{Alg|F' U2 F U F' U' F|F2L}}
{{Alg|(R' F R F') (R U' R' U) (R U' R')|F2L}}

|-valign="top"
|}

==Pair Made on Side==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 19 ===
[[Image:F2L19.png]]

{{Alg|U R U2 R2 (F R F')|F2L}}
{{Alg|U (R U2 R') U (R U' R')|F2L}}
{{Alg|(R U' R' U)2 R U R'|F2L}}
{{Alg|(R U2 R' U') U' (R U' R' U)(R U R')|F2L}}
|

=== F2L 20 ===
[[Image:F2L20.png]]

{{Alg|U' F' U2 F2 (R' F' R)|F2L}}
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}
{{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}
{{Alg|U' (R U' R2' F R F') (R U' R')|F2L}}
{{Alg|y' (R' U R U')2 R' U' R|F2L}}
{{Alg|U' (R U' R' U) (R U') (l U' R' U l')|F2L}}
{{Alg|d' L' U2 L U' L' U L|F2L}}

|-valign="top"
|

=== F2L 21 ===
[[Image:F2L21.png]]
{{Alg|(R U' R') U2 (R U R')|F2L}}
{{Alg|U2 (R U R' U)(R U' R')|F2L}}
{{Alg|R B U2 B' R'|F2L}}
{{Alg|U2 R x' U' R U x R2'|F2L}}
{{Alg|U F R U R' U' R' F' R|F2L}}
|

=== F2L 22 ===
[[Image:F2L22.png]]
{{Alg|y' (R' U R) U2 (R' U' R)|F2L}}
{{Alg|F' L' U2 L F|F2L}}
{{Alg|y' U2 (R' U' R U') (R' U R)|F2L}}
{{Alg|y2 U' d' (R' U' R U') (R' U R)|F2L}}
{{Alg| r U' r' U2 r U r'|F2L}}
{{Alg|U F R U R' U' F' R U R' U2'|F2L}}
{{Alg|d2 y' R' U' R U' R' U R|F2L}}

|-valign="top"
|}

==Weird==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 23 ===
[[Image:F2L23.png]]

{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}
{{Alg|U (F R' F' R) U (R U R')|F2L}}
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}
{{Alg|(R U2 R') (F' U F) U' (R U R')|F2L}}

|

=== F2L 24 ===
[[Image:F2L24.png]]

{{Alg|U F' L' U L F R U R'|F2L}}
{{Alg|(R U R') d (R' U R U') (R' U R)|F2L}}
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}
{{Alg|U' (R U R' U) (R U') (l U' R' U l') |F2L}}
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}
{{Alg|F U (R U' R' F')(R U' R')|F2L}}
{{Alg|d' (F' L F L') U' (L' U' L)|F2L}}
{{Alg|y (L' U' L U) U (L' U' L U)(L' U' L )|F2L}}

|-valign="top"
|}

==Corner in Place, Edge in U Face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 25 ===
[[Image:F2L25.png]]

{{Alg|d' (L' U L) d (R U' R')|F2L}}
{{Alg|d' (L' U L) (F' L F L')|F2L}}
{{Alg|y U' (L' U' L) U (F U F')|F2L}}
{{Alg|U' (F' U F) U (R U' R')|F2L}}
{{Alg|U' M' U R U' r' (R U R')|F2L}}
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}
{{Alg|R' F' R U R U' R' F|F2L}}
{{Alg|(U') F' R U R' U' R' F R|F2L}}
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}
{{Alg|y U R' u' R U' R' U u R|F2L}}
{{Alg|U' (R' F R F') (R U R')|F2L}}
If the back right slot is open:
{{Alg|R2 U' R' U R2|F2L}}
{{Alg|U D' R U' R' D|F2L}}

|

=== F2L 26 ===
[[Image:F2L26.png]]

{{Alg|U (R U' R') d' (L' U L)|F2L}}
{{Alg|U (R U' R') U' (F' U F)|F2L}}
{{Alg|U (R U' R') (F R' F' R)|F2L}}
{{Alg|U R U (r' R U' R' U M')|F2L}}
{{Alg|U R U' M' U R' U' M|F2L}}
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}
{{Alg|y (r U r' U') (r' F r F')|F2L}}
{{Alg|y U (L F' L' F) (L' U' L)|F2L}}

|-valign="top"
|

=== F2L 27 ===
[[Image:F2L27.png]]

{{Alg|(R U' R' U)(R U' R')|F2L}}
{{Alg|(R U' R2)(F R F')|F2L}}
{{Alg|F' U' F U2 (R U' R')|F2L}}

|

=== F2L 28 ===
[[Image:F2L28.png]]

{{Alg|(R U R' U') F R' F' R |F2L}}
{{Alg|(R U R') d (R' U2 R) |F2L}}
{{Alg|y' (R' U R U')(R' U R)|F2L}}
{{Alg|(R U R') U (F' U2 F)|F2L}}
{{Alg|R U2 l U' R' U l'|F2L}}
{{Alg|(R U R') U l2 F' l' U l'|F2L}}
{{Alg|(F' U F2)(R' F' R)|F2L}}
{{Alg|(U2) R' F R F2 L' U2 L F|F2L}}
{{Alg|(R U' R') U' (R' F R F') (R U' R')|F2L}}

|-valign="top"
|

=== F2L 29 ===
[[Image:F2L29.png]]

{{Alg|y' (R' U' R U)(R' U' R)|F2L}}
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}
{{Alg|(R' F R F')(R' F R F')|F2L}}
{{Alg|M' U R U' r' U (R U' R')|F2L}}

|

=== F2L 30 ===
[[Image:F2L30.png]]

{{Alg|(R U R' U')(R U R')|F2L}}
{{Alg|U2 (F' U F)(R U R')|F2L}}
{{Alg|U' (R U2 R')U2 (R U R')|F2L}}

|-valign="top"
|}

==Edge in Place, Corner in U face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 31 ===
[[Image:F2L31.png]]

{{Alg|(R U' R') d (R' U R)|F2L}}
{{Alg|(R U' R' U)(F' U F)|F2L}}
{{Alg|U' R' F R F' R U' R'|F2L}}
{{Alg|R U' l U' R' U l'|F2L}}
{{Alg|F2 r U r' F R U' R'|F2L}}
{{Alg|R U2 R' U' F R' F' R|F2L}}
{{Alg|R U' R B' R' B R'|F2L}}
|

=== F2L 32 ===
[[Image:F2L32.png]]

{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}
{{Alg|U2 R d' R U R' d R'|F2L}}
{{Alg|U R d' R U2 R' d R'|F2L}}
{{Alg|R2 U R2 U R2 U2 R2|F2L}}
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}
{{Alg|(R U2 R') (F' U2 F) U' (R U R')|F2L}}

|-valign="top"
|

=== F2L 33 ===
[[Image:F2L33.png]]

{{Alg|U' (R U' R') U2' (R U' R')|F2L}}
{{Alg|y U' L' U' R' U L U' R|F2L}}
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}
{{Alg|U y F U R U R' U' R U' R' F'|F2L}}
{{Alg|(U' F' U' F) U2 (F' U' F)|F2L}}
{{Alg|y' U' R D R' U R D' R'|F2L}}

|

=== F2L 34 ===
[[Image:F2L34.png]]

{{Alg|U (F' U F) U2 (F' U F)|F2L}}
{{Alg|U' (R U2' R') U (R U R')|F2L}}
{{Alg|U (R U R') U2 (R U R')|F2L}}
{{Alg|d (R' U R) U2 (R' U R)|F2L}}
{{Alg|y (U L' U L) U2 (L' U L)|F2L}}
{{Alg|U y F U2 R U2 R' F'|F2L}}
Back right slot open:
{{Alg|E' R U R' E|F2L}}
{{Alg|E' U' F' U F E|F2L}}

|-valign="top"
|

=== F2L 35 ===
[[Image:F2L35.png]]

{{Alg|(U' R U R') d (R' U' R)|F2L}}
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}
{{Alg|U M' U R U' r' R U' R'|F2L}}
{{Alg|U' l U' R U l' U R'|F2L}}

|

=== F2L 36 ===
[[Image:F2L36.png]]

{{Alg|d (R' U' R) d' (R U R')|F2L}}
{{Alg|y U2 (L' U L) U (F U F')|F2L}}
{{Alg|U F' U' F U' (R U R')|F2L}}
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}

|-valign="top"
|}

==Edge and Corner in Place==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 37 ===
[[Image:F2L37.png]]

Solved

|

=== F2L 38 ===
[[Image:F2L38.png]]

{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}

Back right corner free- D' R U R' F R' F' R
|-valign="top"
|

=== F2L 39 ===
[[Image:F2L39.png]]

{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}
{{Alg|y' (R' U' R) U2 (R' U R U') (R' U' R)|F2L}}
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}
{{Alg|(R U2 R' U2) (R U2 R' U') R U R'|F2L}}
{{Alg|R U' R' F2 L' U' L U F2|F2L}}
{{Alg|(R2 U2) (R' U' R U') (R' U2 R')|F2L}}

=== F2L 40 ===
[[Image:F2L40.png]]

{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}

|-valign="top"
|

=== F2L 41 ===
[[Image:F2L41.png]]

{{Alg|(R U' R') d (R' U' R U') (R' U' R)|F2L}}
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}
{{Alg|R F (U R U' R' F') U' R'|F2L}}
|

=== F2L 42 ===
[[Image:F2L42.png]]

{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}
{{Alg| R U (F R U R' U' F') R'|F2L}}
|-valign="top"
|}

== See also ==
* [[Keyhole First Two Layers]]
* [[Intuitive solving]]
* [[Advanced F2L]]
* [[ZBLS]]
* [[Fridrich Method]]
* [[Petrus Method]]

== External Resources ==
=== Beginner ===
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] Uses a simple analogy method for F2L, but not comprehensive
* [https://docs.google.com/document/d/1npPMcy2Vv-jjUB7wr0gHE0rESuwUgba_D7vT2OUzvTQ/mobilebasic?pli=1 Beginner's F2L: 3 steps for every case] Excellent F2L guide covering every scenario

=== Standard ===
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]
* [http://www.cubewhiz.com/pll.php Bob Burton's F2L Cases]
* [http://cubefreak.net/speed/advancedf2l/standard.php F2L algs for every case from all angles by Shotaro Makisumi]
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto

=== Advanced ===
* Youtube: [https://www.youtube.com/playlist?list=PL83bqDZwr97mik_tbQrCJQQcXsb-wzC53 Viktor Danilov Expert F2L (Russian language)]
* Database: [http://algs.expertcuber.by/ Website for Viktor Danilov F2L series]
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]
* [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]

== F2L Trainers ==
[http://expertcuber.by/ ExpertCuber.by]

[[Category:3x3x3 other substeps]]

__NOTOC__

List of web-based cubing software

2015-12-11T13:57:59Z

Wik: /* Trainers */

== Description ==
This page contains external links for web-based software, such as timers, applets, or other useful cubing programs.

== Animation Applets ==
* [http://software.rubikscube.info/AnimCube/ AnimCube] (Java) - Relatively lightweight and feature-rich 3x3x3 applet.
* [http://randelshofer.ch/ Randelshofer's Applets] (Java) - Applets for 2x2x2-7x7x7 with many options and variations.

== Web-Based Timers ==
'''Individual Timer'''
* [http://qqtimer.net/ qqTimer] - qqwref's web-based timer. Well developed inspection, averaging, and penatly support. Generates scrambles for a wide range of puzzles.
* [http://gqtimer.kungfoomanchu.com/ gqTimer] - qqTimer with a session logging and graphing function using a Google or Yahoo account.
* [http://www.cstimer.net/old/ CSTimer (Old)] - Essentially qqTimer, in Chinese.
* [http://www.cstimer.net/timer.php/ CSTimer (Recent)] - javascript timer with pretty UI, fast-random-state scrambles for 3x3 and sq1, (X)cross/eoline solver and many training scrambles. [http://www.speedsolving.com/forum/showthread.php?t=36236 Thread]
* [http://www.cubetimer.com/ cubetimer.com] - Online Rubik's Cube timer.
* [http://www.ctimer.co.uk cTimer] - a JavaScript timer supporting multi-stage timing and random-state scrambles for 3x3. [http://www.speedsolving.com/forum/showthread.php?t=17078 Speedsolving Thread]
* [http://www.ctimer.co.uk/wee weeTimer] - a JavaScript timer optimised for handheld devices.
* [http://www.vanderblonk.com/tools/timer/ CubeTimer] - Timer with animation. Cannot stop inspection countdown midway through.
* [http://molarmanful.github.io/minimalistimer/ MinimalisTimer] - Javascript timer with simple UI and mobile support. [https://www.speedsolving.com/forum/showthread.php?52899-MinimalisTimer-released!]

'''Competitive Timer'''

* [http://www.rubetimer.com RubeTimer] - A timer with statistical graphics, user registration, and multiplayer.
* [http://www.cubemania.org/ Cubemania.org] - An online timer and competition community. Does not support inspection. Much development.
* [http://twisttheweb.com/ Twisttheweb] - Live competitive community with chat and averaging. Account required. See [[Twisttheweb]]

== Image Generators ==
* [http://www.cubezone.be/imagecube.html ImageCube] - (PHP), source provided
* [http://www.solvethecube.110mb.com/index.php?location=tools#nxnimagecube NxNImagecube] - (PHP), source provided
* [http://cube.crider.co.uk/visualcube.php VisualCube] - (PHP), supports algorithms, transparency and cube dimensions up to 9x9. [http://www.speedsolving.com/forum/showthread.php?t=15853 Speedsolving Thread]
* [http://www.vanderblonk.com/tools/wordpress-rubik-plugin Wordpress Rubik Plugin] - Embed cube diagrams as Java applets or images

== Scramblers and Tools ==
* [http://www.worldcubeassociation.org/regulations/scrambles.zip Official WCA scramblers] - All in one zip file
* [http://www.jaapsch.net/ Jaap's scrambler] - Scrambler, Javascript
* [http://laire.fi/jarcs/ Just Another Rubik's Cube Solver] - Web-based 3x3 solver for common speedcubing sub-steps such as EOLine.
* [http://alg.garron.us/ alg.garron.us] - Algorithm animator for cubes up to 7x7 by Lucas Garron.
* [http://cube.crider.co.uk/scrambler.html Random State Scrambler] - Java applet which creates 3x3 scrambles by inverting solutions to randomly generated cubes.
* [http://cube.crider.co.uk/algtrans.html Algorithm Translator] - Tool for inverting, mirroring and rotating algs. [http://www.speedsolving.com/forum/showthread.php?t=21024 Speedsolving Thread]
* [http://strangepuzzle.com/mirrors.html Algorithm Mirror/Inverse Tool]
* [http://solvethecube.110mb.com/tools.html Joel's Cubing Tools] - Includes an order calculator, scrambler and image generator.
* [http://koii.cubingusa.com/lib/scrambles/scramblers/nml.html NxMxL scrambler] - Scrambler for odd puzzles
* [http://deepcube.net/cube/qbx/ QBX] - A Javascript solver (using the twophase algorithm) licensed under GPLv2.

== Cube Simulators ==
* [[Gelatinbrain]] - One of the biggest collections of virtual puzzles, [http://users.skynet.be/gelatinbrain/Applets/Magic%20Polyhedra/index.htm link]
* [http://www.ryanheise.com/cube/speed.html Ryanheise-simulator] - Cubesimulator using the keyboard, with averages
* [http://hi-games.net/ Ryanheise-multiplayer] - Multiplayer cubesimulator using keyboard, cubes: 2x2x2-10x10x10
* [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.
* [http://www.ocf.berkeley.edu/~jfly/projects/qqTimer/qqTimer.htm jflySim + qqTimer] - 2x2x2-NxNxN cubes, Megaminx, Pyraminx and Square-1 simulators integrated with qqTimer

== Competition Software ==
* [http://koii.cubingusa.com/cm/results.zip KOII Live Results System] - Grabs and neatly displays data from WCA Workbooks
* [http://koii.cubingusa.com/cm/workbook/ WCA Workbook Integrity Checker] - Performs various checks on WCA Workbook
* [http://koii.cubingusa.com/main/competitions/tools More KOII Competition Software] - More tools and services such as competition website hosting

== Trainers ==
* [http://expertcuber.by/ ExpertCuber.by] - F2L Trainer
* [http://brunson.com/drillsergeant Last Layer Drills by Brunson]
* [http://wtf2l.com wtf2l.com] - OLL Trainer
* [http://cube.crider.co.uk/coracle.html Coracle] - Corner Lookahead Trainer. [http://www.speedsolving.com/forum/showthread.php?t=21251 Speedsolving Thread]
* [http://s.codepen.io/molarmanful/debug/VYLqLz? Molarmanful's PLL Trainer] - Javascript PLL Trainer with mobile support.

[[Category:Software]]

List of web-based cubing software

2015-12-11T13:50:14Z

Wik: /* Trainers */

== Description ==
This page contains external links for web-based software, such as timers, applets, or other useful cubing programs.

== Animation Applets ==
* [http://software.rubikscube.info/AnimCube/ AnimCube] (Java) - Relatively lightweight and feature-rich 3x3x3 applet.
* [http://randelshofer.ch/ Randelshofer's Applets] (Java) - Applets for 2x2x2-7x7x7 with many options and variations.

== Web-Based Timers ==
'''Individual Timer'''
* [http://qqtimer.net/ qqTimer] - qqwref's web-based timer. Well developed inspection, averaging, and penatly support. Generates scrambles for a wide range of puzzles.
* [http://gqtimer.kungfoomanchu.com/ gqTimer] - qqTimer with a session logging and graphing function using a Google or Yahoo account.
* [http://www.cstimer.net/old/ CSTimer (Old)] - Essentially qqTimer, in Chinese.
* [http://www.cstimer.net/timer.php/ CSTimer (Recent)] - javascript timer with pretty UI, fast-random-state scrambles for 3x3 and sq1, (X)cross/eoline solver and many training scrambles. [http://www.speedsolving.com/forum/showthread.php?t=36236 Thread]
* [http://www.cubetimer.com/ cubetimer.com] - Online Rubik's Cube timer.
* [http://www.ctimer.co.uk cTimer] - a JavaScript timer supporting multi-stage timing and random-state scrambles for 3x3. [http://www.speedsolving.com/forum/showthread.php?t=17078 Speedsolving Thread]
* [http://www.ctimer.co.uk/wee weeTimer] - a JavaScript timer optimised for handheld devices.
* [http://www.vanderblonk.com/tools/timer/ CubeTimer] - Timer with animation. Cannot stop inspection countdown midway through.
* [http://molarmanful.github.io/minimalistimer/ MinimalisTimer] - Javascript timer with simple UI and mobile support. [https://www.speedsolving.com/forum/showthread.php?52899-MinimalisTimer-released!]

'''Competitive Timer'''

* [http://www.rubetimer.com RubeTimer] - A timer with statistical graphics, user registration, and multiplayer.
* [http://www.cubemania.org/ Cubemania.org] - An online timer and competition community. Does not support inspection. Much development.
* [http://twisttheweb.com/ Twisttheweb] - Live competitive community with chat and averaging. Account required. See [[Twisttheweb]]

== Image Generators ==
* [http://www.cubezone.be/imagecube.html ImageCube] - (PHP), source provided
* [http://www.solvethecube.110mb.com/index.php?location=tools#nxnimagecube NxNImagecube] - (PHP), source provided
* [http://cube.crider.co.uk/visualcube.php VisualCube] - (PHP), supports algorithms, transparency and cube dimensions up to 9x9. [http://www.speedsolving.com/forum/showthread.php?t=15853 Speedsolving Thread]
* [http://www.vanderblonk.com/tools/wordpress-rubik-plugin Wordpress Rubik Plugin] - Embed cube diagrams as Java applets or images

== Scramblers and Tools ==
* [http://www.worldcubeassociation.org/regulations/scrambles.zip Official WCA scramblers] - All in one zip file
* [http://www.jaapsch.net/ Jaap's scrambler] - Scrambler, Javascript
* [http://laire.fi/jarcs/ Just Another Rubik's Cube Solver] - Web-based 3x3 solver for common speedcubing sub-steps such as EOLine.
* [http://alg.garron.us/ alg.garron.us] - Algorithm animator for cubes up to 7x7 by Lucas Garron.
* [http://cube.crider.co.uk/scrambler.html Random State Scrambler] - Java applet which creates 3x3 scrambles by inverting solutions to randomly generated cubes.
* [http://cube.crider.co.uk/algtrans.html Algorithm Translator] - Tool for inverting, mirroring and rotating algs. [http://www.speedsolving.com/forum/showthread.php?t=21024 Speedsolving Thread]
* [http://strangepuzzle.com/mirrors.html Algorithm Mirror/Inverse Tool]
* [http://solvethecube.110mb.com/tools.html Joel's Cubing Tools] - Includes an order calculator, scrambler and image generator.
* [http://koii.cubingusa.com/lib/scrambles/scramblers/nml.html NxMxL scrambler] - Scrambler for odd puzzles
* [http://deepcube.net/cube/qbx/ QBX] - A Javascript solver (using the twophase algorithm) licensed under GPLv2.

== Cube Simulators ==
* [[Gelatinbrain]] - One of the biggest collections of virtual puzzles, [http://users.skynet.be/gelatinbrain/Applets/Magic%20Polyhedra/index.htm link]
* [http://www.ryanheise.com/cube/speed.html Ryanheise-simulator] - Cubesimulator using the keyboard, with averages
* [http://hi-games.net/ Ryanheise-multiplayer] - Multiplayer cubesimulator using keyboard, cubes: 2x2x2-10x10x10
* [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.
* [http://www.ocf.berkeley.edu/~jfly/projects/qqTimer/qqTimer.htm jflySim + qqTimer] - 2x2x2-NxNxN cubes, Megaminx, Pyraminx and Square-1 simulators integrated with qqTimer

== Competition Software ==
* [http://koii.cubingusa.com/cm/results.zip KOII Live Results System] - Grabs and neatly displays data from WCA Workbooks
* [http://koii.cubingusa.com/cm/workbook/ WCA Workbook Integrity Checker] - Performs various checks on WCA Workbook
* [http://koii.cubingusa.com/main/competitions/tools More KOII Competition Software] - More tools and services such as competition website hosting

== Trainers ==
* [http://expertcuber.by/ F2L Trainer]
* [http://brunson.com/drillsergeant Last Layer Drills by Brunson]
* [http://wtf2l.com wtf2l.com] - OLL Trainer
* [http://cube.crider.co.uk/coracle.html Coracle] - Corner Lookahead Trainer. [http://www.speedsolving.com/forum/showthread.php?t=21251 Speedsolving Thread]
* [http://s.codepen.io/molarmanful/debug/VYLqLz? Molarmanful's PLL Trainer] - Javascript PLL Trainer with mobile support.

[[Category:Software]]

First Two Layers

2015-12-07T14:47:03Z

Wik:

{{Substep Infobox
|name=F2L
|image=F2Linfo.png
|proposers=[[René Schoof]]
|year=1981
|anames=First Two Layers
|variants=[[ZBLS]], [[VHF2L]], [[WV]], [[MGLS]], possibly others
|subgroup=<nowiki><U,R,L,F,B></nowiki>
|algs=42
|moves=6.7 [[HTM]] a slot
|purpose=
* [[Speedsolving]], [[FMC]]
|previous=[[Cross cube state]]
|next=[[F2L cube state]]
|previousimage=[[Image:VisualCube_3_Egell.png|120px|left|link=Cross cube state]]
|nextimage=[[Image:F2L_higlight.jpg|120px|right|link=F2L cube state]]

}}
'''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.

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.

[[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.

 
== Approaches ==

=== Petrus F2L ===

Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.

=== Fridrich F2L ===
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.

The concept of pairing up four corner/edge pairs was first proposed by [[René Schoof]] in 1981.

{{F2L}}

==Easy Cases==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 1 ===
[[Image:F2L01.png]]

{{Alg|U (R U' R')|F2L}}
{{Alg|R' F R F'|F2L}}
{{Alg|U2 (R U2 R')|F2L}}

|

=== F2L 2 ===
[[Image:F2L02.png]]

{{Alg|y' U' (R' U R)|F2L}}
{{Alg|U' (F' U F)|F2L}}
{{Alg|F R' F' R|F2L}}
{{Alg|d' L' U L|F2L}}
{{Alg|r U R' U' M|F2L}}
{{Alg|(U2) l R U' R' U l'|F2L}}
{{Alg|(U2) l2 F' l' U l'|F2L}}
{{Alg|(U') F R' F' R2 U' R'|F2L}}

|-valign="top"
|

=== F2L 3 ===
[[Image:F2L03.png]]

{{Alg|y' (R' U' R)|F2L}}
{{Alg|y (L' U' L)|F2L}}
{{alg|F' U' F|F2L}}
{{Alg|U M R U' R' U M'|F2L}}
{{Alg|U r' R2 U' R' U M'|F2L}}

|

=== F2L 4 ===
[[Image:F2L04.png]]

{{Alg|(R U R')|F2L}}
{{Alg|(U2) L (R U' R') U L'|F2L}}

|-valign="top"
|}

==Reposition Edge==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 5 ===
[[Image:F2L05.png]]

{{Alg|(U' R U R') U2 (R U' R')|F2L}}
{{Alg|(U' R U R') U (R' F R F')|F2L}}
{{Alg|F2 (L' U' L U) F2|F2L}}
{{Alg|L U' R U L' R' U2 R U' R'|F2L}}
{{Alg|U' (R U R') U' R U2 R'|F2L}}

|

=== F2L 6 ===
[[Image:F2L06.png]]

{{Alg|d (R' U' R) U2' (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}
{{Alg|U' (r U' R' U) (R U r')|F2L}}
{{Alg|R2 (B U B' U') R2|F2L}}
{{Alg|y F2 (R U R' U') F2|F2L}}

|-valign="top"
|

=== F2L 7 ===
[[Image:F2L07.png]]

{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}
{{Alg|U' R U2 R' U' R U2 R'|F2L}}
{{Alg|M' U' M U2 r U' r'|F2L}}
{{Alg|R U B U2 B' U R'|F2L}}

|

=== F2L 8 ===
[[Image:F2L08.png]]

{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}
{{Alg|y' R' U' F' U2 F U' R|F2L}}

|-valign="top"
|}

==Reposition Edge and Flip Corner==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 9 ===
[[Image:F2L09.png]]

{{Alg|U' R U' R' d R' U' R |F2L}}
{{Alg|d (R' U' R U') (R' U' R)|F2L}}
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}
{{Alg|U r U R' U' R2 r' U' R'|F2L}}
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}
{{Alg|F (R U R' U') F' R U' R'|F2L}}
{{Alg|(U F' U' F) U' (F' U' F)|F2L}}
{{Alg|y F2 (U R U' R') F2|F2L}}

|

=== F2L 10 ===
[[Image:F2L10.png]]

{{Alg|U' (R U R' U)(R U R')|F2L}}
{{Alg|R d' R U R' U2 F'|F2L}}
{{Alg|U F' U F U' R U R'|F2L}}
{{Alg|d R' U R d' R U R'|F2L}}
{{Alg|y2 B2 (U' R' U R) B2|F2L}}

Back Right Slot Open: R' U R2 U R'

|-valign="top"
|

=== F2L 11 ===
[[Image:F2L11.png]]

{{Alg|U' (R U2' R') d (R' U' R)|F2L}}
{{Alg|(y) L' d L' U2 L U2 F|F2L}}
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}
{{Alg|U (F R' F' R)2 U' R U R'|F2L}}
{{Alg|(y') R U2 R2 U' R2 U' R'|F2L}}
{{Alg|U' l F U' R U l' U R'|F2L}}
|

=== F2L 12 ===
[[Image:F2L12.png]]

{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}
{{Alg|d (R' U2 R) d' (R U R')|F2L}}
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}
{{Alg|R' U2 R2 U R2 U R|F2L}}
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}
{{Alg|(U R U' R') U' (R U R' U') (R U R')|F2L}}
Back right slot open: R' U2 R2 U R'

|-valign="top"
|

=== F2L 13 ===
[[Image:F2L13.png]]

{{Alg|d (R' U R U') (R' U' R)|F2L}}
{{Alg|y' U (R' U R U') (R' U' R)|F2L}}
{{Alg|(U F' U F) U' (F' U' F)|F2L}}
{{Alg|M' U' (R U R') U' (R U2 r')|F2L}}
{{Alg|(R U' R') U (R' F R F') (R U' R')|F2L}}
{{Alg|(R U R') d' (L' U' L U) (L' U' L)|F2L}}
{{Alg|(R U' R' U2) (R U' l U' R' U l')|F2L}}
Back right slot open : R' U R F' U' F

|

=== F2L 14 ===
[[Image:F2L14.png]]

{{Alg|U' (R U' R' U) (R U R')|F2L}}
{{Alg|d' F U' F' d R U R'|F2L}}

|-valign="top"
|}

==Split Pair by Going Over==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 15 ===
[[Image:F2L15.png]]

{{Alg|M U L F' L' U' M'|F2L}}
{{Alg|U (R' F R F') U (R U R')|F2L}}
{{Alg|y' (R' U R U') d' (R U R')|F2L}}
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}
{{Alg|U' R2 U2 R U' R' U R' U2 R2|F2L}}
{{Alg|U2 (R U R' U') R U2 R' U R U R'|F2L}}
Front left slot open: U (R U' R') D (R U' R') D'

Back right slot open: U' (R' U R U') (R U R')

=== F2L 16 ===
[[Image:F2L16.png]]

{{Alg|(R U' R' U) d (R' U' R)|F2L}}
{{Alg|(R U' R') U2 (F' U' F)|F2L}}
{{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}
{{Alg|(U) R (F R U R' U' F') R'|F2L}}
{{Alg|(U) M' (U R U' r') (U' R U R')|F2L}}
{{Alg|y' U R U2 R U' R U R' U2 R'|F2L}}
{{Alg|y M U' R' F R U M' y'|F2L}}

|-valign="top"
|

=== F2L 17 ===
[[Image:F2L17.png]]

{{Alg|(R U2 R') U' (R U R')|F2L}}

|

=== F2L 18 ===
[[Image:F2L18.png]]

{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}
{{Alg|F' U2 F U F' U' F|F2L}}
{{Alg|(R' F R F') (R U' R' U) (R U' R')|F2L}}

|-valign="top"
|}

==Pair Made on Side==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 19 ===
[[Image:F2L19.png]]

{{Alg|U R U2 R2 (F R F')|F2L}}
{{Alg|U (R U2 R') U (R U' R')|F2L}}
{{Alg|(R U2 R' U') U' (R U' R' U)(R U R')|F2L}}
|

=== F2L 20 ===
[[Image:F2L20.png]]

{{Alg|U' F' U2 F2 (R' F' R)|F2L}}
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}
{{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}
{{Alg|U' (R U' R2' F R F') (R U' R')|F2L}}
{{Alg|U' (R U' R' U) (R U') (l U' R' U l')|F2L}}
{{Alg|d' L' U2 L U' L' U L|F2L}}

|-valign="top"
|

=== F2L 21 ===
[[Image:F2L21.png]]
{{Alg|(R U' R') U2 (R U R')|F2L}}
{{Alg|U2 (R U R' U)(R U' R')|F2L}}
{{Alg|R B U2 B' R'|F2L}}
{{Alg|U2 R x' U' R U x R2'|F2L}}
{{Alg|U F R U R' U' R' F' R|F2L}}
|

=== F2L 22 ===
[[Image:F2L22.png]]
{{Alg|y' (R' U R) U2 (R' U' R)|F2L}}
{{Alg|F' L' U2 L F|F2L}}
{{Alg|y' U2 (R' U' R U') (R' U R)|F2L}}
{{Alg|y2 U' d' (R' U' R U') (R' U R)|F2L}}
{{Alg| r U' r' U2 r U r'|F2L}}
{{Alg|U F R U R' U' F' R U R' U2'|F2L}}
{{Alg|d2 y' R' U' R U' R' U R|F2L}}

|-valign="top"
|}

==Weird==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 23 ===
[[Image:F2L23.png]]

{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}
{{Alg|U (F R' F' R) U (R U R')|F2L}}
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}
{{Alg|(R U2 R') (F' U F) U' (R U R')|F2L}}

|

=== F2L 24 ===
[[Image:F2L24.png]]

{{Alg|U F' L' U L F R U R'|F2L}}
{{Alg|(R U R') d (R' U R U') (R' U R)|F2L}}
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}
{{Alg|U' (R U R' U) (R U') (l U' R' U l') |F2L}}
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}
{{Alg|F U (R U' R' F')(R U' R')|F2L}}
{{Alg|d' (F' L F L') U' (L' U' L)|F2L}}
{{Alg|y (L' U' L U) U (L' U' L U)(L' U' L )|F2L}}

|-valign="top"
|}

==Corner in Place, Edge in U Face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 25 ===
[[Image:F2L25.png]]

{{Alg|d' (L' U L) d (R U' R')|F2L}}
{{Alg|d' (L' U L) (F' L F L')|F2L}}
{{Alg|y U' (L' U' L) U (F U F')|F2L}}
{{Alg|U' (F' U F) U (R U' R')|F2L}}
{{Alg|U' M' U R U' r' (R U R')|F2L}}
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}
{{Alg|R' F' R U R U' R' F|F2L}}
{{Alg|(U') F' R U R' U' R' F R|F2L}}
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}
{{Alg|y U R' u' R U' R' U u R|F2L}}
If the back right slot is open:
{{Alg|R2 U' R' U R2|F2L}}
{{Alg|U D' R U' R' D|F2L}}

|

=== F2L 26 ===
[[Image:F2L26.png]]

{{Alg|U (R U' R') d' (L' U L)|F2L}}
{{Alg|U (R U' R') U' (F' U F)|F2L}}
{{Alg|U (R U' R') (F R' F' R)|F2L}}
{{Alg|U R U (r' R U' R' U M')|F2L}}
{{Alg|U R U' M' U R' U' M|F2L}}
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}
{{Alg|y (r U r' U') (r' F r F')|F2L}}

|-valign="top"
|

=== F2L 27 ===
[[Image:F2L27.png]]

{{Alg|(R U' R' U)(R U' R')|F2L}}
{{Alg|(R U' R2)(F R F')|F2L}}
{{Alg|F' U' F U2 (R U' R')|F2L}}

|

=== F2L 28 ===
[[Image:F2L28.png]]

{{Alg|(R U R' U') F R' F' R |F2L}}
{{Alg|(R U R') d (R' U2 R) |F2L}}
{{Alg|y' (R' U R U')(R' U R)|F2L}}
{{Alg|(R U R') U (F' U2 F)|F2L}}
{{Alg|R U2 l U' R' U l'|F2L}}
{{Alg|(R U R') U l2 F' l' U l'|F2L}}
{{Alg|(F' U F2)(R' F' R)|F2L}}
{{Alg|(U2) R' F R F2 L' U2 L F|F2L}}

|-valign="top"
|

=== F2L 29 ===
[[Image:F2L29.png]]

{{Alg|y' (R' U' R U)(R' U' R)|F2L}}
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}
{{Alg|(R' F R F')(R' F R F')|F2L}}
{{Alg|M' U R U' r' U (R U' R')|F2L}}

|

=== F2L 30 ===
[[Image:F2L30.png]]

{{Alg|(R U R' U')(R U R')|F2L}}
{{Alg|U2 (F' U F)(R U R')|F2L}}
{{Alg|U' (R U2 R')U2 (R U R')|F2L}}

|-valign="top"
|}

==Edge in Place, Corner in U face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 31 ===
[[Image:F2L31.png]]

{{Alg|(R U' R') d (R' U R)|F2L}}
{{Alg|(R U' R' U)(F' U F)|F2L}}
{{Alg|U' R' F R F' R U' R'|F2L}}
{{Alg|R U' l U' R' U l'|F2L}}
{{Alg|F2 r U r' F R U' R'|F2L}}
{{Alg|R U2 R' U' F R' F' R|F2L}}
{{Alg|R U' R B' R' B R'|F2L}}
|

=== F2L 32 ===
[[Image:F2L32.png]]

{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}
{{Alg|U2 R d' R U R' d R'|F2L}}
{{Alg|U R d' R U2 R' d R'|F2L}}
{{Alg|R2 U R2 U R2 U2 R2|F2L}}
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}
{{Alg|(R U2 R') (F' U2 F) U' (R U R')|F2L}}

|-valign="top"
|

=== F2L 33 ===
[[Image:F2L33.png]]

{{Alg|y U' L' U' R' U L U' R|F2L}}
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}
{{Alg|U y F U R U R' U' R U' R' F'|F2L}}
{{Alg|(U' F' U' F) U2 (F' U' F)|F2L}}
{{Alg|y' U' R D R' U R D' R'|F2L}}

|

=== F2L 34 ===
[[Image:F2L34.png]]

{{Alg|U' (R U2' R') U (R U R')|F2L}}
{{Alg|U (R U R') U2 (R U R')|F2L}}
{{Alg|d (R' U R) U2 (R' U R)|F2L}}
{{Alg|y (U L' U L) U2 (L' U L)|F2L}}
{{Alg|U y F U2 R U2 R' F'|F2L}}
Back right slot open:
{{Alg|E' R U R' E|F2L}}
{{Alg|E' U' F' U F E|F2L}}

|-valign="top"
|

=== F2L 35 ===
[[Image:F2L35.png]]

{{Alg|(U' R U R') d (R' U' R)|F2L}}
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}
{{Alg|U M' U R U' r' R U' R'|F2L}}
{{Alg|U' l U' R U l' U R'|F2L}}

|

=== F2L 36 ===
[[Image:F2L36.png]]

{{Alg|d (R' U' R) d' (R U R')|F2L}}
{{Alg|y U2 (L' U L) U (F U F')|F2L}}
{{Alg|U F' U' F U' (R U R')|F2L}}
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}

|-valign="top"
|}

==Edge and Corner in Place==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 37 ===
[[Image:F2L37.png]]

Solved

|

=== F2L 38 ===
[[Image:F2L38.png]]

{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}

Back right corner free- D' R U R' F R' F' R
|-valign="top"
|

=== F2L 39 ===
[[Image:F2L39.png]]

{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}
{{Alg|y' (R' U' R) U2 (R' U R U') (R' U' R)|F2L}}
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}
{{Alg|(R U2 R' U2) (R U2 R' U') R U R'|F2L}}
{{Alg|R U' R' F2 L' U' L U F2|F2L}}
{{Alg|(R2 U2) (R' U' R U') (R' U2 R')|F2L}}

=== F2L 40 ===
[[Image:F2L40.png]]

{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}

|-valign="top"
|

=== F2L 41 ===
[[Image:F2L41.png]]

{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}
{{Alg|R F (U R U' R' F') U' R'|F2L}}
|

=== F2L 42 ===
[[Image:F2L42.png]]

{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}
{{Alg| R U (F R U R' U' F') R'|F2L}}
|-valign="top"
|}

== See also ==
* [[Keyhole First Two Layers]]
* [[Intuitive solving]]
* [[Advanced F2L]]
* [[ZBLS]]
* [[Fridrich Method]]
* [[Petrus Method]]

== External Resources ==
=== Beginner ===
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L

=== Standard ===
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]
* [http://www.cubewhiz.com/pll.php Bob Burton's F2L Cases]
* [http://cubefreak.net/speed/advancedf2l/standard.php F2L algs for every case from all angles by Shotaro Makisumi]
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto

=== Advanced ===
* Youtube: [https://www.youtube.com/playlist?list=PL83bqDZwr97mik_tbQrCJQQcXsb-wzC53 Expert F2L (Russian language)] - by Viktor Danilov
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]
* [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]

== F2L Trainers ==
[http://expertcuber.by/ ExpertCuber.by]

[[Category:3x3x3 other substeps]]

__NOTOC__

First Two Layers

2015-12-07T14:42:10Z

Wik: /* Advanced */

{{Substep Infobox
|name=F2L
|image=F2Linfo.png
|proposers=[[René Schoof]]
|year=1981
|anames=First Two Layers
|variants=[[ZBLS]], [[VHF2L]], [[WV]], [[MGLS]], possibly others
|subgroup=<nowiki><U,R,L,F,B></nowiki>
|algs=42
|moves=6.7 [[HTM]] a slot
|purpose=
* [[Speedsolving]], [[FMC]]
|previous=[[Cross cube state]]
|next=[[F2L cube state]]
|previousimage=[[Image:VisualCube_3_Egell.png|120px|left|link=Cross cube state]]
|nextimage=[[Image:F2L_higlight.jpg|120px|right|link=F2L cube state]]

}}
'''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.

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.

[[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.

 
== Approaches ==

=== Petrus F2L ===

Another way to solve the 'F2L' is by building blocks, common during the first two layers of the [[Petrus]] method.

=== Fridrich F2L ===
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.

The concept of pairing up four corner/edge pairs was first proposed by [[René Schoof]] in 1981.

{{F2L}}

==Easy Cases==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 1 ===
[[Image:F2L01.png]]

{{Alg|U (R U' R')|F2L}}
{{Alg|R' F R F'|F2L}}
{{Alg|U2 (R U2 R')|F2L}}

|

=== F2L 2 ===
[[Image:F2L02.png]]

{{Alg|y' U' (R' U R)|F2L}}
{{Alg|U' (F' U F)|F2L}}
{{Alg|F R' F' R|F2L}}
{{Alg|d' L' U L|F2L}}
{{Alg|r U R' U' M|F2L}}
{{Alg|(U2) l R U' R' U l'|F2L}}
{{Alg|(U2) l2 F' l' U l'|F2L}}
{{Alg|(U') F R' F' R2 U' R'|F2L}}

|-valign="top"
|

=== F2L 3 ===
[[Image:F2L03.png]]

{{Alg|y' (R' U' R)|F2L}}
{{Alg|y (L' U' L)|F2L}}
{{alg|F' U' F|F2L}}
{{Alg|U M R U' R' U M'|F2L}}
{{Alg|U r' R2 U' R' U M'|F2L}}

|

=== F2L 4 ===
[[Image:F2L04.png]]

{{Alg|(R U R')|F2L}}
{{Alg|(U2) L (R U' R') U L'|F2L}}

|-valign="top"
|}

==Reposition Edge==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 5 ===
[[Image:F2L05.png]]

{{Alg|(U' R U R') U2 (R U' R')|F2L}}
{{Alg|(U' R U R') U (R' F R F')|F2L}}
{{Alg|F2 (L' U' L U) F2|F2L}}
{{Alg|L U' R U L' R' U2 R U' R'|F2L}}
{{Alg|U' (R U R') U' R U2 R'|F2L}}

|

=== F2L 6 ===
[[Image:F2L06.png]]

{{Alg|d (R' U' R) U2' (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U2 (R' U R)|F2L}}
{{Alg|y' (U R' U' R) U' y (F R' F' R)|F2L}}
{{Alg|U' (r U' R' U) (R U r')|F2L}}
{{Alg|R2 (B U B' U') R2|F2L}}
{{Alg|y F2 (R U R' U') F2|F2L}}

|-valign="top"
|

=== F2L 7 ===
[[Image:F2L07.png]]

{{Alg|U' (R U2' R') U2 (R U' R')|F2L}}
{{Alg|U' R U2 R' U' R U2 R'|F2L}}
{{Alg|M' U' M U2 r U' r'|F2L}}
{{Alg|R U B U2 B' U R'|F2L}}

|

=== F2L 8 ===
[[Image:F2L08.png]]

{{Alg|d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|y' U (R' U2 R) U2 (R' U R)|F2L}}
{{Alg|(r' U2) (R2 U R2 U r)|F2L}}
{{Alg|y' R' U' F' U2 F U' R|F2L}}

|-valign="top"
|}

==Reposition Edge and Flip Corner==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 9 ===
[[Image:F2L09.png]]

{{Alg|U' R U' R' d R' U' R |F2L}}
{{Alg|d (R' U' R U') (R' U' R)|F2L}}
{{Alg|y2 U' (L U' L') d (L' U' L)|F2L}}
{{Alg|U r U R' U' R2 r' U' R'|F2L}}
{{Alg|U' R U' R' U2 M R U' R' U M'|F2L}}
{{Alg|F (R U R' U') F' R U' R'|F2L}}
{{Alg|(U F' U' F) U' (F' U' F)|F2L}}
{{Alg|y F2 (U R U' R') F2|F2L}}

|

=== F2L 10 ===
[[Image:F2L10.png]]

{{Alg|U' (R U R' U)(R U R')|F2L}}
{{Alg|R d' R U R' U2 F'|F2L}}
{{Alg|U F' U F U' R U R'|F2L}}
{{Alg|d R' U R d' R U R'|F2L}}
{{Alg|y2 B2 (U' R' U R) B2|F2L}}

Back Right Slot Open: R' U R2 U R'

|-valign="top"
|

=== F2L 11 ===
[[Image:F2L11.png]]

{{Alg|U' (R U2' R') d (R' U' R)|F2L}}
{{Alg|(y) L' d L' U2 L U2 F|F2L}}
{{Alg|U' R U2 R' U2 M R U' R' U M'|F2L}}
{{Alg|U (F R' F' R)2 U' R U R'|F2L}}
{{Alg|(y') R U2 R2 U' R2 U' R'|F2L}}
{{Alg|U' l F U' R U l' U R'|F2L}}
|

=== F2L 12 ===
[[Image:F2L12.png]]

{{Alg|R U' R' U R U' R' U2 R U' R'|F2L}}
{{Alg|d (R' U2 R) d' (R U R')|F2L}}
{{Alg|R U2 R' U2' R U2' R' U2' R U' R'|F2L}}
{{Alg|R' U2 R2 U R2 U R|F2L}}
{{Alg|y (F U') (R U2 R' U2') F'|F2L}}
{{Alg|(U R U' R') U' (R U R' U') (R U R')|F2L}}
Back right slot open: R' U2 R2 U R'

|-valign="top"
|

=== F2L 13 ===
[[Image:F2L13.png]]

{{Alg|d (R' U R U') (R' U' R)|F2L}}
{{Alg|y' U (R' U R U') (R' U' R)|F2L}}
{{Alg|(U F' U F) U' (F' U' F)|F2L}}
{{Alg|M' U' (R U R') U' (R U2 r')|F2L}}
{{Alg|(R U' R') U (R' F R F') (R U' R')|F2L}}
{{Alg|(R U R') d' (L' U' L U) (L' U' L)|F2L}}
{{Alg|(R U' R' U2) (R U' l U' R' U l')|F2L}}
Back right slot open : R' U R F' U' F

|

=== F2L 14 ===
[[Image:F2L14.png]]

{{Alg|U' (R U' R' U) (R U R')|F2L}}
{{Alg|d' F U' F' d R U R'|F2L}}

|-valign="top"
|}

==Split Pair by Going Over==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 15 ===
[[Image:F2L15.png]]

{{Alg|M U L F' L' U' M'|F2L}}
{{Alg|U (R' F R F') U (R U R')|F2L}}
{{Alg|y' (R' U R U') d' (R U R')|F2L}}
{{Alg|y (L' U L) U2 y' (R U R')|F2L}}
{{Alg|R U2 R' U R U R' U R U' R'|F2L}}
{{Alg|R U R' U2 R U' R' U R U' R'|F2L}}
{{Alg|R U' R U2' R2' U' R2 U' R2'|F2L}}
{{Alg|U' R2 U2 R U' R' U R' U2 R2|F2L}}
{{Alg|U2 (R U R' U') R U2 R' U R U R'|F2L}}
Front left slot open: U (R U' R') D (R U' R') D'

Back right slot open: U' (R' U R U') (R U R')

=== F2L 16 ===
[[Image:F2L16.png]]

{{Alg|(R U' R' U) d (R' U' R)|F2L}}
{{Alg|(R U' R') U2 (F' U' F)|F2L}}
{{Alg|(U') (R U2 M' U' R' U) (R U r')|F2L}}
{{Alg|(U) R (F R U R' U' F') R'|F2L}}
{{Alg|(U) M' (U R U' r') (U' R U R')|F2L}}
{{Alg|y' U R U2 R U' R U R' U2 R'|F2L}}
{{Alg|y M U' R' F R U M' y'|F2L}}

|-valign="top"
|

=== F2L 17 ===
[[Image:F2L17.png]]

{{Alg|(R U2 R') U' (R U R')|F2L}}

|

=== F2L 18 ===
[[Image:F2L18.png]]

{{Alg|y' (R' U2 R) U (R' U' R)|F2L}}
{{Alg|y (L' U2 L) U (L' U' L)|F2L}}
{{Alg|(R U R' U') R U2 R' U y (L' U L)|F2L}}
{{Alg|(R U R' U') (R U R' U') F R' F' R |F2L}}
{{Alg|F' U2 F U F' U' F|F2L}}
{{Alg|(R' F R F') (R U' R' U) (R U' R')|F2L}}

|-valign="top"
|}

==Pair Made on Side==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 19 ===
[[Image:F2L19.png]]

{{Alg|U R U2 R2 (F R F')|F2L}}
{{Alg|U (R U2 R') U (R U' R')|F2L}}
{{Alg|(R U2 R' U') U' (R U' R' U)(R U R')|F2L}}
|

=== F2L 20 ===
[[Image:F2L20.png]]

{{Alg|U' F' U2 F2 (R' F' R)|F2L}}
{{Alg|y' U' (R' U2 R) U' (R' U R)|F2L}}
{{Alg|y2 d' (R' U2 R) U' (R' U R)|F2L}}
{{Alg|U' (R U R' U) (F' L' U2 L F)|F2L}}
{{Alg|U' (R U' R2' F R F') (R U' R')|F2L}}
{{Alg|U' (R U' R' U) (R U') (l U' R' U l')|F2L}}
{{Alg|d' L' U2 L U' L' U L|F2L}}

|-valign="top"
|

=== F2L 21 ===
[[Image:F2L21.png]]
{{Alg|(R U' R') U2 (R U R')|F2L}}
{{Alg|U2 (R U R' U)(R U' R')|F2L}}
{{Alg|R B U2 B' R'|F2L}}
{{Alg|U2 R x' U' R U x R2'|F2L}}
{{Alg|U F R U R' U' R' F' R|F2L}}
|

=== F2L 22 ===
[[Image:F2L22.png]]
{{Alg|y' (R' U R) U2 (R' U' R)|F2L}}
{{Alg|F' L' U2 L F|F2L}}
{{Alg|y' U2 (R' U' R U') (R' U R)|F2L}}
{{Alg|y2 U' d' (R' U' R U') (R' U R)|F2L}}
{{Alg| r U' r' U2 r U r'|F2L}}
{{Alg|U F R U R' U' F' R U R' U2'|F2L}}
{{Alg|d2 y' R' U' R U' R' U R|F2L}}

|-valign="top"
|}

==Weird==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 23 ===
[[Image:F2L23.png]]

{{Alg|U2 R2 U2 (R' U' R U') R2|F2L}}
{{Alg|U (F R' F' R) U (R U R')|F2L}}
{{Alg|U R U' R' U' R U' R' U R U' R'|F2L}}
{{Alg|(R U R' U') U' (R U R' U')(R U R')|F2L}}
{{Alg|(R U2 R') (F' U F) U' (R U R')|F2L}}

|

=== F2L 24 ===
[[Image:F2L24.png]]

{{Alg|U F' L' U L F R U R'|F2L}}
{{Alg|(R U R') d (R' U R U') (R' U R)|F2L}}
{{Alg|y' (R' U' R U) U (R' U' R U)(R' U' R)|F2L}}
{{Alg|y' U2 R2 U2 (R U R' U) R2|F2L}}
{{Alg|U' (R U) (R2' F R F') (R U' R')|F2L}}
{{Alg|U' (R U R' U) (R U') (l U' R' U l') |F2L}}
{{Alg|U2 F2 U2 (F U F' U) F2|F2L}}
{{Alg|F U (R U' R' F')(R U' R')|F2L}}
{{Alg|d' (F' L F L') U' (L' U' L)|F2L}}
{{Alg|y (L' U' L U) U (L' U' L U)(L' U' L )|F2L}}

|-valign="top"
|}

==Corner in Place, Edge in U Face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 25 ===
[[Image:F2L25.png]]

{{Alg|d' (L' U L) d (R U' R')|F2L}}
{{Alg|d' (L' U L) (F' L F L')|F2L}}
{{Alg|y U' (L' U' L) U (F U F')|F2L}}
{{Alg|U' (F' U F) U (R U' R')|F2L}}
{{Alg|U' M' U R U' r' (R U R')|F2L}}
{{Alg|R U2 R' U R U2 R' U2 R U' R'|F2L}}
{{Alg|R U R' U2 R U R' U2 R U' R'|F2L}}
{{Alg|R' F' R U R U' R' F|F2L}}
{{Alg|(U') F' R U R' U' R' F R|F2L}}
{{Alg|(R U' R' U') (R U' R' U) (R U R')|F2L}}
{{Alg|y' (l' U' l U) (l F' l' F)|F2L}}
{{Alg|(U) (R' U' R' U') R2 (U R U R)|F2L}}
{{Alg|y U R' u' R U' R' U u R|F2L}}
If the back right slot is open:
{{Alg|R2 U' R' U R2|F2L}}
{{Alg|U D' R U' R' D|F2L}}

|

=== F2L 26 ===
[[Image:F2L26.png]]

{{Alg|U (R U' R') d' (L' U L)|F2L}}
{{Alg|U (R U' R') U' (F' U F)|F2L}}
{{Alg|U (R U' R') (F R' F' R)|F2L}}
{{Alg|U R U (r' R U' R' U M')|F2L}}
{{Alg|U R U' M' U R' U' M|F2L}}
{{Alg|r U r' U2 r U r' U2 r U' r'|F2L}}
{{Alg|y (r U r' U') (r' F r F')|F2L}}

|-valign="top"
|

=== F2L 27 ===
[[Image:F2L27.png]]

{{Alg|(R U' R' U)(R U' R')|F2L}}
{{Alg|(R U' R2)(F R F')|F2L}}
{{Alg|F' U' F U2 (R U' R')|F2L}}

|

=== F2L 28 ===
[[Image:F2L28.png]]

{{Alg|(R U R' U') F R' F' R |F2L}}
{{Alg|(R U R') d (R' U2 R) |F2L}}
{{Alg|y' (R' U R U')(R' U R)|F2L}}
{{Alg|(R U R') U (F' U2 F)|F2L}}
{{Alg|R U2 l U' R' U l'|F2L}}
{{Alg|(R U R') U l2 F' l' U l'|F2L}}
{{Alg|(F' U F2)(R' F' R)|F2L}}
{{Alg|(U2) R' F R F2 L' U2 L F|F2L}}

|-valign="top"
|

=== F2L 29 ===
[[Image:F2L29.png]]

{{Alg|y' (R' U' R U)(R' U' R)|F2L}}
{{Alg|U2 (R U' R') y' (R' U' R)|F2L}}
{{Alg|(R' F R F')(R' F R F')|F2L}}
{{Alg|M' U R U' r' U (R U' R')|F2L}}

|

=== F2L 30 ===
[[Image:F2L30.png]]

{{Alg|(R U R' U')(R U R')|F2L}}
{{Alg|U2 (F' U F)(R U R')|F2L}}
{{Alg|U' (R U2 R')U2 (R U R')|F2L}}

|-valign="top"
|}

==Edge in Place, Corner in U face==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 31 ===
[[Image:F2L31.png]]

{{Alg|(R U' R') d (R' U R)|F2L}}
{{Alg|(R U' R' U)(F' U F)|F2L}}
{{Alg|U' R' F R F' R U' R'|F2L}}
{{Alg|R U' l U' R' U l'|F2L}}
{{Alg|F2 r U r' F R U' R'|F2L}}
{{Alg|R U2 R' U' F R' F' R|F2L}}
{{Alg|R U' R B' R' B R'|F2L}}
|

=== F2L 32 ===
[[Image:F2L32.png]]

{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}
{{Alg|U2 R d' R U R' d R'|F2L}}
{{Alg|U R d' R U2 R' d R'|F2L}}
{{Alg|R2 U R2 U R2 U2 R2|F2L}}
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}
{{Alg|(R U2 R') (F' U2 F) U' (R U R')|F2L}}

|-valign="top"
|

=== F2L 33 ===
[[Image:F2L33.png]]

{{Alg|y U' L' U' R' U L U' R|F2L}}
{{Alg|(U' R U' R') U2 (R U' R')|F2L}}
{{Alg|y U' (L' U' L) U2 (L' U' L)|F2L}}
{{Alg|U y F U R U R' U' R U' R' F'|F2L}}
{{Alg|(U' F' U' F) U2 (F' U' F)|F2L}}
{{Alg|y' U' R D R' U R D' R'|F2L}}

|

=== F2L 34 ===
[[Image:F2L34.png]]

{{Alg|U' (R U2' R') U (R U R')|F2L}}
{{Alg|U (R U R') U2 (R U R')|F2L}}
{{Alg|d (R' U R) U2 (R' U R)|F2L}}
{{Alg|y (U L' U L) U2 (L' U L)|F2L}}
{{Alg|U y F U2 R U2 R' F'|F2L}}
Back right slot open:
{{Alg|E' R U R' E|F2L}}
{{Alg|E' U' F' U F E|F2L}}

|-valign="top"
|

=== F2L 35 ===
[[Image:F2L35.png]]

{{Alg|(U' R U R') d (R' U' R)|F2L}}
{{Alg|U2 (R U' R') U' (F' U' F)|F2L}}
{{Alg|U M' U R U' r' R U' R'|F2L}}
{{Alg|U' l U' R U l' U R'|F2L}}

|

=== F2L 36 ===
[[Image:F2L36.png]]

{{Alg|d (R' U' R) d' (R U R')|F2L}}
{{Alg|y U2 (L' U L) U (F U F')|F2L}}
{{Alg|U F' U' F U' (R U R')|F2L}}
{{Alg|U2 (R' F R F') U2 (R U R')|F2L}}

|-valign="top"
|}

==Edge and Corner in Place==

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== F2L 37 ===
[[Image:F2L37.png]]

Solved

|

=== F2L 38 ===
[[Image:F2L38.png]]

{{Alg|(R' F R F') (R U' R' U) (R U' R' U2) (R U' R')|F2L}}
{{Alg|(R U' R') d (R' U2 R) U2' (R' U R)|F2L}}
{{Alg|(R U R') U2 (R U2 R') d (R' U' R)|F2L}}
{{Alg|(R2 U2) (F R2 F') (U2 R' U R')|F2L}}

Back right corner free- D' R U R' F R' F' R
|-valign="top"
|

=== F2L 39 ===
[[Image:F2L39.png]]

{{Alg|(R U' R') U' (R U R') U2 (R U' R')|F2L}}
{{Alg|y' (R' U' R) U2 (R' U R U') (R' U' R)|F2L}}
{{Alg|y (L' U' L) U2 (L' U L U')(L' U' L)|F2L}}
{{Alg|(R U R' U') (R U2 R') U' (R U R')|F2L}}
{{Alg|(R U2 R' U2) (R U2 R' U') R U R'|F2L}}
{{Alg|R U' R' F2 L' U' L U F2|F2L}}
{{Alg|(R2 U2) (R' U' R U') (R' U2 R')|F2L}}

=== F2L 40 ===
[[Image:F2L40.png]]

{{Alg|(R U' R' U)(R U2' R') U (R U' R')|F2L}}
{{Alg|(R U R') U2 (R U' R' U)(R U R')|F2L}}
{{Alg|(R U2) (R U R' U) (R U2 R2')|F2L}}

|-valign="top"
|

=== F2L 41 ===
[[Image:F2L41.png]]

{{Alg|(R U' R') d (R' U' R U')(R' U' R)|F2L}}
{{Alg|R U' R' U' R U' R' d R' U' R|F2L}}
{{Alg|y (L' U' L U)(L' U L) U2 (F U F')|F2L}}
{{Alg|(R U' R) y (U R U' R') y' R2|F2L}}
{{Alg|F2 (L' U' L U) y (L U' L)|F2L}}
{{Alg|R F (U R U' R' F') U' R'|F2L}}
|

=== F2L 42 ===
[[Image:F2L42.png]]

{{Alg|(R U' R' U) d (R' U' R U') (R' U R)|F2L}}
{{Alg|(R U' R' U2) y' (R' U' R U' R' U R)|F2L}}
{{Alg|(R U R' U') (R U' R') U2 (F' U' F)|F2L}}
{{Alg|y (L' U L) d' (L U L' U) (L U L')|F2L}}
{{Alg|R2 y (R U R' U') y' (R' U R')|F2L}}
{{Alg|(R U' R')(F' L' U2 L F)|F2L}}
{{Alg| R U (F R U R' U' F') R'|F2L}}
|-valign="top"
|}

== See also ==
* [[Keyhole First Two Layers]]
* [[Intuitive solving]]
* [[Advanced F2L]]
* [[ZBLS]]
* [[Fridrich Method]]
* [[Petrus Method]]

== External Resources ==
=== Beginner ===
* [http://rishidoshi.blogspot.com/ RiDo's Hunting Story] - Simple analogy method for F2L

=== Standard ===
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk's F2L Cases (from his old site)]
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris's F2L Cases]
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]
* [http://jmbaum.110mb.com/f2l.htm Jason Baum's F2L Cases]
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise's Printable F2L PDF]
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]
* [http://www.cubewhiz.com/pll.php Bob Burton's F2L Cases]
* [http://cubefreak.net/speed/advancedf2l/standard.php F2L algs for every case from all angles by Shotaro Makisumi]
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik's cube - F2L] - by Feliks Zemdegs
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik's Cube: Fridrich F2L explained] - by Badmephisto

=== Advanced ===
* Youtube: [https://www.youtube.com/playlist?list=PL83bqDZwr97mik_tbQrCJQQcXsb-wzC53 Expert F2L (Russian language)] - by Viktor Danilov
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]
* [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]

[[Category:3x3x3 other substeps]]

__NOTOC__

OLL

2013-01-31T18:31:52Z

Wik: /* OLL 55 */

{{Method Infobox
|name=OLL
|image=OLLinfo.png
|proposers=
|year=
|anames=
|variants=
|steps=1
|algs=57
|moves=9.7 [[HTM]]
|purpose=
* [[Speedsolving]]
}}
'''OLL''' (short for [[Orientation]] of the [[Last Layer]]) is a last-layer step for 3x3 that orients all last-layer corners and edges in one step. It is the first last-layer step in many speedsolving methods, including the [[Fridrich Method]]. OLL is usually followed by [[PLL]].

== Terminology ==
'''Dot OLL''' refers to OLL cases with no edge oriented correctly, so named because the center sticker forms a lone dot of the last-layer color. These cases are typically longer and harder to execute than others and are sometimes avoided. For example, cubers who have not learned full OLL can use [[partial edge control]] to avoid these cases altogether. Even some cubers who know full OLL avoid these cases for [[one-handed solving]].

== See also ==
* [[OLL (2x2x2)]]
* [[2-Look OLL]]
* [[PLL]]

== External links ==

* [http://www.kungfoomanchu.com/#333oll Printable OLL PDF] (All OLL algs in one page and color coded)
* [http://mordred.awardspace.us/OLLCheatSheet.pdf OLL Cheat Sheet] (Printable PDF of all OLL algorithms on 2 pages. Can be printed Double Sided)
 {{OLL}}

=OLL Algorithms=
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].

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.

The bars sticking off to the side of an unshaded piece represent where the [[sticker]] that needs to be on top is.

{{Algnote}}

==All edges flipped correctly==
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]].

{{OCLL}}

==No edges flipped correctly==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== OLL 1 ===
{{case
|image=o1.gif
|name=Runway, Blank
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|(R U2) (R2' F R F' U2') (R' F R F')|OLL|vidurl=http://www.youtube.com/watch?v=n_2qaxpViEY}}
{{Alg|R U B' R B R2 U' R' F R F'|OLL}}
{{Alg|y S U F R2 U' R2 U' R2 U R2 f'|OLL}}
{{Alg|L' U2 L2 F' L' F U2 L F' L' F|OLL}}

=== OLL 2 ===
{{case
|image=o2.gif
|name=zamboni
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{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}}
{{Alg|(y2) F' (L' U' L U) F f' (L' U' L U) f|OLL}}
{{Alg|(y) r U r' U2 r U2 R' U2 R U' r'|OLL}}
{{Alg|(y) l' U' l U2 l' U2 L U2 L' U l|OLL}}
{{Alg|(y2) F R' F' R U R2 B' R' B U' R'|OLL}}

|-valign="top"
|

=== OLL 3 ===
{{case
|image=o3.gif
|name=Anti-Nazi, Anti-Mouse
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|(y) f (R U R' U') f' U' F (R U R' U') F'|OLL}}
{{Alg|(y2) r' R2 U R' U r U2 r' U R' r|OLL|vidurl=http://www.youtube.com/watch?v=VIHqsOoGLVc&feature=related}}
{{Alg|(y2) M U l' U2 l U L' U L M'|OLL}}

|

=== OLL 4 ===
{{case
|image=o4.gif
|name= Nazi, Mouse
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|f (R U R' U') f' U F (R U R' U') F'|OLL}}
{{Alg|R' U2 x R' U R U' y R' U' R' U R' F|OLL}}
{{Alg|y r' R U' r U2 r' U' R U' R2' r|OLL}}
{{Alg|y M U' r U2' r' U' R U' R' M'|OLL}}
{{Alg|l L2 U' L U' l' U2 l U' M'|OLL}}

|-valign="top"
|

=== OLL 20 ===
{{case
|image=o20.gif
|name=X, Checkers
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|r' R U R U R' U' r2 R2' U R U' r'|OLL}}
{{Alg|M U R U R' U' M2 U R U' r'|OLL}}
{{Alg|r U R' U' M2 (U R U' R') U' M'|OLL}}
{{Alg|(x) U R' U' M2 U R U' M' (x') U' M'|OLL}}
{{Alg|M' U2 M' U2 M' U M U2 M U2 M|OLL}}
{{Alg|M' U2 M U2 M' U M U2 M' U2 M|OLL}}
{{Alg|M U2 M' U2 M U M' U2 M U2 M' U'|OLL}}
{{Alg|M d r2 U M' U2 M U r2 S'|OLL}}
{{Alg|M U M F R' F' M2 F R F' U'|OLL}}
{{Alg|R2 U2 R' F2 U2 R2 F' R2 U2 F2 R U2 R2 U'|OLL}}
{{Alg|R B U B' R' F2 B D' L' D B' F2|OLL}}
{{Alg|L' R' F' U2 L2 U2 L2 U2 L2 F L R|OLL}}
{{Alg|F2 M F2 M2 U' M2 F2 M' F2 U |OLL}}
{{Alg|F2 M F2 U' M2 U B2 M B2 |OLL}}
{{Alg|F' B' R E S R S' R2 E' F B |OLL}}
{{Alg|S' U' S2 U R' U' R' S' R U R|OLL}}
{{Alg|(M U) 4 (M' U) 4|OLL}}
{{Alg|(M' U)3 M' U' (M' U)3 M'|OLL}}
{{Alg|(M' U)4 Y2 (M' U) 4|OLL}}

=== OLL 17 ===
{{case
|image=o17.gif
|name= slash, diagonal
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|R U R' U (R' F R F') U2 (R' F R F')|OLL}}
{{Alg|f (R U R' U') y' r' (R U R' U') R' F R F'|OLL}}
{{Alg|F R' F' l R L' U R U' R' U' M'|OLL}}
{{Alg|F' R U2 r' U F2 U' r U2 R' F|OLL}}
{{Alg|(F' R U2 r' d) R2 U' F R2 f' R|OLL}}
{{Alg|y2 (F R' F' R2 r' U) (R U' R' U' M')|OLL}}

=== OLL 18 ===
{{case
|image=o18.gif
|name= Crown
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|y' r U R' U R U2 r2' U' R U' R' U2 r|OLL}}
{{Alg|y F R U R' d R' U2 R' F R F'|OLL}}
{{Alg|R U2 R2 F R F' U2 M' U R U' r'|OLL}}
{{Alg|l' U' r' U2 L U2 L' U2 r U l|OLL}}
{{Alg|y2 (R' F R F') U2 (R' F R F') (U F' U F) |OLL}}
{{Alg|y (F R' F' R) U2 (F R' F' R)(U' R U' R') |OLL}}
{{Alg|y x (U R' U' R) B2 (U R' U' R)(B' R B' R') x' |OLL}}

=== OLL 19 ===
{{case
|image=o19.gif
|name= Bunny
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|r' U2 R U R' U r2 U2' R' U' R U' r'|OLL}}
{{Alg|R' U2 F R U R' U' y' R2 U2 R B|OLL}}
{{Alg|r' R U R U R' U' r R2' F R F'|OLL}}
{{Alg|M U R U R' U' M' R' F R F'|OLL}}
{{Alg|M U R U R' U' r R2' F R F'|OLL}}
{{Alg|M U R U R' U' M' l' U R U'|OLL}}
{{Alg|y2 M' U' R' U' R U r' R2 B' R' B|OLL}}
|}

=="P" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 31 ===
{{case
|image=o31.gif
|name=
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|y2 R' U' F U R U' R' F' R|OLL}}
{{Alg|y (F R' F' R) (U R U R') (U' R U' R')|OLL}}
{{Alg|L' d' R d L U' L' B' L|OLL}}
{{Alg|S' L' U' L U L F' L' f|OLL}}
{{Alg|y x U R' U' l U R U R' U' R U' R'|OLL}}
{{Alg|L' U' B U L U' L' B' L|OLL}}
{{Alg|y' (S R U R' U' Fw' U' F)|OLL}}
|

=== OLL 32 ===
{{case
|image=o32.gif
|name=
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}

{{Alg|R U B' U' R' U R B R'|OLL}}
{{Alg|y2 x' R U R' D R U' R U' R' U R' D' x|OLL}}
{{Alg|y2 F U R U' F' r U R' U' r'|OLL}}
{{Alg|R U x' U' F' R' F R U R'|OLL}}
{{Alg|R d L' d' R' U R B R'|OLL}}
{{Alg|S R U R' U' R' F R f'|OLL}}
{{Alg|y x' U' R U l' U' R' U' R U R' U R|OLL}}
{{Alg|R U2 R' U' F' U F R U' R'|OLL}}
{{Alg|l F U' F' R' F R U l'|OLL}}
|-valign="top"
|

=== OLL 43 ===
{{case
|image=o43.gif
|name=
|methods=OLL
|optimal=6 [[HTM]]
|text=
}}
{{Alg|y R' U' F' U F R|OLL}}
{{Alg|f' L' U' L U f|OLL}}
{{Alg|B' U' R' U R B|OLL}}
{{Alg|y2 F' U' L' U L F|OLL}}
{{Alg|y2 U R U R' F' L' U' L F|OLL}}
{{Alg|y2 R' U' F R' F' R U R|OLL}}
{{Alg|y' (R U l') U' (r' U' r) U x'|OLL}}

|

=== OLL 44 ===
{{case
|image=o44.gif
|name=
|methods=OLL
|optimal=6 [[HTM]]
|text=
}}
{{Alg|f R U R' U' f'|OLL}}
{{Alg|y2 F U R U' R' F'|OLL}}
{{Alg|y R U y' L U' L' B'|OLL}}
{{Alg|y F U R' F R F' U' F'|OLL}}

|}

=="W" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 36 ===
{{case
|image=o36.gif
|name=Sea-Mew, Wario
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R' U' R U' R' U R U R y R' F' R|OLL}}
{{Alg|R' U' R U' R' U R U R B' R' B|OLL}}
{{Alg|y2 (L' U' L U') (L' U L U) (L F' L' F)|OLL}}
{{Alg|(R U R' U') y (L' U2' L U) y' (R U R')|OLL}}

|

=== OLL 38 ===
{{case
|image=o38.gif
|name=Mario
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|L U L' U L U' L' U' L' B L B'|OLL}}
{{Alg|y2 R U R' U R U' R' U' R' F R F'|OLL}}
{{Alg|(L' U' L U) y' (R U2 R' U') y (L' U' L)|OLL}}

|}

=="L" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== OLL 48 ===
{{case
|image=o48.gif
|name=Breakneck
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|F R U R' U' R U R' U' F'|OLL}}
{{Alg|y2 f U R U' R' U R U' R' f'|OLL}}
{{Alg|y r U2 R' U' R U' r' R' U' R U' R' U2 R|OLL}}
{{Alg|y' r' U' R U' R' U2 r R U2 R' U' R U' R'|OLL}}

|

=== OLL 47 ===
{{case
|image=o47.gif
|name=Anti-Breakneck
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|F' L' U' L U L' U' L U F|OLL}}
{{Alg|y' r U R' U R U2 r' R' U2 R U R' U R|OLL}}
{{Alg|R' U' x (R' U R U')*2 x' U R|OLL}}

|-valign="top"
|

=== OLL 53 ===
{{case
|image=o53.gif
|name=Frying Pan
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|l' U' L U' L' U L U' L' U2 l|OLL}}
{{Alg|y' l U2 L U L' U' L U L' U' l'|OLL}}
{{Alg|y2 r' U' R U' R' U R U' R' U2 r|OLL}}
{{Alg|y' r' U2 R U R' U' R U R' U r|OLL}}
{{Alg|y' r U2 R' U' R U' r' R U2 R' U' R U' R'|OLL}}
{{Alg|r U R' U R U2 r' R U R' U R U2 R'|OLL}}
{{Alg|F R U R' U' F' R U R' U' R' F R F'|OLL}}

|

=== OLL 54 ===
{{case
|image=o54.gif
|name=Anti-Frying Pan
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|r U R' U R U' R' U R U2 r'|OLL}}
{{Alg|y' r U2 R' U' R U R' U' R U' r'|OLL}}
{{Alg|y2 l U L' U L U' L' U L U2 l' |OLL}}
{{Alg|y l' U2 L U L' U' L U L' U' l|OLL}}
{{Alg|y2 r' U' R U' R' U2 r R' U' R U' R' U2 R|OLL}}
{{Alg|y r' U2 R U R' U r R' U2 R U R' U R|OLL}}
{{Alg|y f (R U R' U') (R U R' U') f' F (R U R' U') F'|OLL}}
{{Alg|y' r U2 R' U' R U R' U' R U' r'|OLL}}

|-valign="top"
|

=== OLL 49 ===
{{case
|image=o49.gif
|name= right back squeezy
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|R B' R2 F R2 B R2 F' R|OLL}}
{{Alg|l U' l2' U l2 U l2' U' l|OLL}}
{{Alg|y2 r U' r2 U r2 U r2 U' r|OLL}}
{{Alg|y2 R' F R' F' R2 d2 y' R' F R F'|OLL}}
{{Alg|y2 r U2 R2' U' R2 U' r'R' U2 R|OLL}}
{{Alg|(y' x') U l' U2 R U2 l U2 R' U (x)|OLL}}
{{Alg|y' R' U2 R U R' U R F R U R' U' F'|OLL}}

|

=== OLL 50 ===
{{case
|image=o50.gif
|name= right front squeezy
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|y2 R' F R2 B' R2 F' R2 B R'|OLL}}
{{Alg|y2 x' R' D R2 U' R2 D' R2 U R' x|OLL}}
{{Alg|r' U r2 U' r2' U' r2 U r'|OLL}}
{{Alg|R B' R B R2' U2 F R' F' R|OLL}}
{{Alg|y2 l' U l2 U' l2 U' l2 U l'|OLL}}
{{Alg|r' U2 R2' U R2 U rR U2 R'|OLL}}
{{Alg|y' (R U2 R' U' R U' R') (F R U R' U' F')|OLL}}
{{Alg|y' F' R U2 R' U2 R' F2 R F'|OLL}}
{{Alg|(y x') U' r U2 L' U2 r' U2 L U'(x)|OLL}}
{{Alg|y' F R U' R' U' R U R' U R U' R' F'|OLL}}

|}

=="C" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 34 ===
{{case
|image=o34.gif
|name= City (C and T)
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R U R' U' x D' R' U R E' z'|OLL}}
{{Alg|y2 R' U' R U y' x' R U L' U' M'|OLL}}
{{Alg|R U R' U' y' r' U' R U M'|OLL}}
{{Alg|(R U R' U') B' l' U R d' D|OLL}}
{{Alg|(R U R' U') B' (R' F R F') B|OLL|vidurl=http://www.youtube.com/watch?v=oDAcz_XIljE}}
{{Alg|R U R' d' l' U' L U r' R|OLL}}
{{Alg|R U R2 U' R' F R U R U' F'|OLL}}
{{Alg|y2 F R U R' U' R' F' r U R U' r'|OLL}}
{{Alg|y2 R U2 R' F R U R' U' F' U R U R'|OLL}}

|

=== OLL 46 ===
{{case
|image=o46.gif
|name= Seein' Headlights(C and headlights)
|methods=OLL
|optimal=8 [[HTM]]
|text=
}}
{{Alg|R' U' R' F R F' U R|OLL}}
{{Alg|R' U' l' U l F' U R|OLL}}
{{Alg|y F U F l' U' l U' F'|OLL}}
{{Alg|R U l U' R' U F' l'|OLL}}
{{Alg|y2 L F U' R U R' F' L'|OLL}}
{{Alg|R U R'2 U' R' F R U R U' F|OLL}}

|}

=="T" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 33 ===
{{case
|image=o33.gif
|name= Tying Shoelaces
|methods=OLL
|optimal=8 [[HTM]]
|text=
}}
{{Alg|(R U R' U') (R' F R F')|OLL}}
{{Alg|y2 (L' U' L U) (L F' L' F)|OLL}}
{{Alg|R' U' R U l U' R' U (x)|OLL}}
{{Alg|R U R' F' U' F R U' R'|OLL}}
|

=== OLL 45 ===
{{case
|image=o45.gif
|name= Suit up
|methods=OLL
|optimal=6 [[HTM]]
|text=
}}
{{Alg|F (R U R' U') F'|OLL}}
{{Alg|f' (U' L' U L) f|OLL}}
{{Alg|y2 f (U R U' R') f'|OLL}}
{{Alg|y2 F' (L' U' L U) F|OLL}}

|}

=="I" shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 55 ===
{{case
|image=o55.gif
|name= Highway
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|y R' F R U R U' R2 F' R2 U' R' U R U R'|OLL|vidurl=http://www.youtube.com/watch?v=_9guCyKddAQ}}
{{Alg|R U2 R2 U' R U' R' U2 F R F'|OLL}}
{{Alg|R' U2 R2 U R' U R U2 y l' U' l|OLL}}
{{Alg|r U2 R2 F R F' U2 r' F R F'|OLL}}
{{Alg|y F U' R2 D R' U2 R D' R2' U F'|OLL}}
{{Alg|y R' F R U R' F R U' R' F' R U M' U' M|OLL}}
{{Alg|L F' L' U' L F' L' U L F L' U' M' U M|OLL}}
{{Alg|(L F' L' U' L F' L' U L F L' U' L)(R' F R) L'|OLL}}
{{Alg|R d' R2 D R' U2 R D' R2 d R'|OLL}}
{{Alg|y r U2 R' U' R2 r' U R' U' r U' r'|OLL}}
{{Alg|y r U2 R' U' M (R U R' U') r U' r'|OLL}}
{{Alg|y F R U R' U' F' R U2 R2 U' R2 U' R2 U2 R|OLL}}
{{Alg|y r U2 R' U' M R U R' U' r U' r'|OLL}}
A 4x4x4 special: Note: Rra = (R + r) + (L + l) :: (y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'

=== OLL 56 ===
{{case
|image=o56.gif
|name= Streetlights
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|r U r' U R U' R' U R U' R' r U' r'|OLL}}
{{Alg|r' U' r U' R' U R U' R' U R r' U r|OLL}}
{{Alg|L F L' U R U' R' U R U' R' L F' L'|OLL}}
{{Alg|F R U R' U' R F' r U R' U' r'|OLL}}
{{Alg|r U r' U R U' R' M' U R U2 r'|OLL}}
{{Alg|F R U R' U' F' r U R' U' r' F R F'|OLL}}

|-valign="top"
|

=== OLL 51 ===
{{case
|image=o51.gif
|name= bottlecap
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|F U R U' R' U R U' R' F'|OLL}}
{{Alg|y2 f R U R' U' R U R' U' f'|OLL}}

|

=== OLL 52 ===
{{case
|image=o52.gif
|name= rice cooker
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R' U' R U' R' d R' U R B|OLL}}
{{Alg|R U R' U R d' R U' R' F'|OLL}}
{{Alg|R' U' R U' R' U F' U F R|OLL}}
{{Alg|y2 R' U' x U R' U' R U R' U' R x' U R |OLL}}
{{Alg|(R U R' U R U2 R') U (F U R U' R' F')|OLL}}
{{Alg|y (r U2 R' U' R U' r') (F R U R' U' F')|OLL}}

|}

==Square shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 5 ===
{{case
|image=o5.gif
|name= right back wide antisune(RBWAS)
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{Alg|(r' U2) (R U R' U r)|OLL|vidurl=http://www.youtube.com/watch?v=beKUmNDs-Zo&feature=related}}
{{Alg|y2 R' F2 L F L' F R|OLL|vidurl=http://www.youtube.com/watch?v=UMN6F4E_Hac}}
{{Alg|y2 l' U2 L U L' U l|OLL}}
{{Alg|y x' U' l2 U l F' l U|OLL}}
|

=== OLL 6 ===
{{case
|image=o6.gif
|name= right front wide antisune(RFWAS)
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{Alg|y2 (r U2) (R' U' R U') r'|OLL}}
{{Alg|l U2 L' U' L U' l'|OLL}}

|}

==Big lightning bolt shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 39 ===
{{case
|image=o39.gif
|name=Fung
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|L F' L' U' L U F U' L'|OLL}}
{{Alg|y2 l U' l' U' R U B U' R'|OLL}}
{{Alg|y2 f' L F L' U' L' U L S|OLL}}
{{Alg|y2 R U R' F' U' F U R U2 R'|OLL}}
{{Alg|y2 R B' R' U' R U B U' R'|OLL}}
{{Alg|y2 x' R U' x R' U' R U x' U F' l'|OLL}}

|

=== OLL 40 ===
{{case
|image=o40.gif
|name=Anti-Fung
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|R' F R U R' U' F' U R|OLL}}
{{Alg|y2 f R' F' R U R U' R' S'|OLL}}
{{Alg|y2 L' B L U L' U' B' U L|OLL}}

|}

==Small lightning bolt shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 7 ===
{{case
|image=o7.gif
|name=wide sune
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{Alg|r U R' U R U2 r'|OLL}}
{{Alg|y B L F' L F L2 B'|OLL}}
{{Alg|F R' F' R U2 R U2 R'|OLL}}
{{Alg|L' U2 L U2 L F' L' F|OLL}}

|

=== OLL 8 ===
{{case
|image=o8.gif
|name= left wide sune(LWS) or right back wide sune(RBWS)
|methods=OLL
|optimal=7 [[HTM]]
|text=
}}
{{Alg|l' U' L U' L' U2 l|OLL}}
{{Alg|y2 r' U' R U' R' U2 r|OLL}}
{{Alg|y' B' R' F R' F' R2 B|OLL}}
{{Alg|R U2 R' U2 R' F R F'|OLL}}

|-valign="top"
|

=== OLL 11 ===
{{case
|image=o11.gif
|name=
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|r' R2 U R' U R U2 R' U M'|OLL}}
{{Alg|y2 r U R' U R' F R F' R U2 r'|OLL}}
{{Alg|y F' L' U' L U F y F R U R' U' F'|OLL}}
{{Alg|R U R' y' U' R' U' R y U R' F' R U R U' R' F|OLL}}
{{Alg|y R U' R' U' R U' R' U2 F' U F U' R U R'|OLL}}

|

=== OLL 12 ===
{{case
|image=o12.gif
|name=
|methods=OLL
|optimal=11 [[HTM]]
|text=
}}
{{Alg|F R U R' U' F' U F R U R' U' F'|OLL}}
{{Alg|y F R U R2 F R y' R2 U R U2 R'|OLL}}
{{Alg|y' r R2 U' R U' R' U2 R U' R r'|OLL}}
{{Alg|y' M' R' U' R U' R' U2 R U' M|OLL}}

|}

==Fish shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 9 ===
{{case
|image=o9.gif
|name=Kite
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|y' R' U' R y' x' R U' R' F R U R' x|OLL}}
{{Alg|y' R' U' R x U' R' U y R U y' R U' x'|OLL}}
{{Alg|y' R U R' U' R' F R2 U R' U' F'|OLL}}
{{Alg|y L' U' L y l U' l' U l U l'|OLL}}
{{Alg|R' U' R U' R' U R' F R F' U R|OLL}}
{{Alg|y' R' U' R y r U' r' U r U r'|OLL}}
{{Alg|y2 R U2 R' M' U' R U' R' U M|OLL}}

|

=== OLL 10 ===
{{case
|image=o10.gif
|name=Anti-Kite
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|y' R U R' y R' F R U' R' F' R|OLL}}
{{Alg|y' R U R' y' r' U r U' r' U' r|OLL}}
{{Alg|y' R U R' U R' F R F' R U2 R'|OLL}}
{{Alg|y' R' U' R U R B' R2 U' R U B|OLL}}

|-valign="top"
|

=== OLL 35 ===
{{case
|image=o35.gif
|name= fish salad
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|R U2 R2' F R F' R U2 R'|OLL}}
{{Alg|R U B' R B R2 U R U2 R'|OLL}}
{{Alg|U' M2 F' U2 F M U2 R U L' x'|OLL}}
{{Alg|U' S2 L U2 L' S' U2 B' U' F z'|OLL}}
{{Alg|y' R' U2 (R l) U' R' U l' U2 R|OLL}}

|

=== OLL 37 ===
{{case
|image=o37.gif
|name=mounted fish/ untying showlaces
|methods=OLL
|optimal=8 [[HTM]]
|text=
}}
{{Alg|x' U' R U l' U' R' U R|OLL}}
{{Alg|l U' R' U y' R U R' U' z'|OLL}}
{{Alg|y F R U' R' U' R U R' F'|OLL}}
{{Alg|y R' F R F' U' F' U F|OLL}}
{{Alg|y R' F R F' y' U' R' U R|OLL}}
{{Alg|y F R' F' R U R U' R'|OLL}}
{{Alg|R B' R' B U B U' B'|OLL}}
{{Alg|R U R' F' U F R U' R'|OLL}}
|}

==Knight move shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 13 ===
{{case
|image=o13.gif
|name=Gun, Trigger
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|F U R U' R2 F' R U R U' R'|OLL}}
{{Alg|F U R U2 R' U' R U R' F'|OLL}}
{{Alg|r U' r' U' r U r' y' R' U R|OLL}}
{{Alg|y2 x' R U' R' F' R U R' x y R' U R|OLL}}
{{Alg|y2 f R U R2 U' R' U R U' f'|OLL}}
{{Alg|R U2 L' U' L U2 R' U' L F' L' F|OLL}}
|

=== OLL 14 ===
{{case
|image=o14.gif
|name=Anti-Gun, Anti-Trigger
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R' F R U R' F' R y' R U' R'|OLL}}
{{Alg|l' U l U l' U' l y' R U' R'|OLL}}
{{Alg|y' R' U' y' R' U R2 B R' U' R' U R|OLL}}
{{Alg|y2 B' U' R' U R2 B R' U' R' U R|OLL}}
{{Alg|y2 x' L' U L F L' U' L x y' L U' L'|OLL}}
{{Alg|y2 r' U r U r' U' r y R U' R'|OLL}}
{{Alg|L' U2 R U R' U2 L U R' F R F'|OLL}}

|-valign="top"
|

=== OLL 15 ===
{{case
|image=o15.gif
|name=Squeegee
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|y2 l' U' l L' U' L U l' U l|OLL}}
{{Alg|y2 R' F' R L' U' L U R' F R|OLL}}
{{Alg|r' U' r R' U' R U r' U r|OLL}}

|

=== OLL 16 ===
{{case
|image=o16.gif
|name=Anti-Squeegee
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|y2 r U r' R U R' U' r U' r'|OLL}}
{{Alg|y2 r U M U R' U' r U' r'|OLL}}
{{Alg|y2 F' R U R' U' R' F R U' y' R' U R U y R U' R'|OLL}}

|}

==Awkward shapes==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 29 ===
{{case
|image=o29.gif
|name=
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|M U (R U R' U') (R' F R F') M'|OLL}}
{{Alg|r2 D' r U r' D r2 U' r' U' r|OLL}}
{{Alg|(y) (R U R' U') (R U' R' F') U' (F R U R')|OLL}}
{{Alg|(y) R' U2 R2 U R' U' R' U2 F R F'|OLL}}
{{Alg|(y2) R' F R F' R U2 R' d' L' U' L|OLL}}
{{Alg|(y2) R' F R F' R U2 R' U' y' R' U' R|OLL}}
{{Alg|(y2) R2' U' R F R' U R2' U' R' F' R|OLL}}
{{Alg|(y2) r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}
{{Alg|x' U' R' U L' U' R2 U' R' U2 r|OLL}}
{{Alg|y' (R U R' U R U2 R') U (R U R' U') (R' F R F')|OLL}}
|

=== OLL 30 ===
{{case
|image=o30.gif
|name=
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}
{{Alg|f R U R2 U' R' U R2 U' R' f'|OLL}}
{{Alg|R2' U R' B' R U' R2' U R B R'|OLL}}
{{Alg|M U' (L' U' L U) (L F' L' F) M'|OLL}}
{{Alg|l U' R' U l' U2 R d L U L'|OLL}}
{{Alg|(y2) (L F' L' F) L' U2 L d (R U R')|OLL}}
{{Alg|(y2) F R' F R2 U' R' U' R U R' F2|OLL}}
{{Alg|(y2) F U R U' x' U R' D' R U' l'|OLL}}
{{Alg|(y2) M' U' (R' U' R U) x' (R U' R' U) M (x)|OLL}}
{{Alg|(y2) M' U' (R' U' R U) l (U' R' U R) L'|OLL}}
{{Alg|(y') M' U R U' r' U2 R2 B' R' B R'|OLL}}
{{Alg|R B' R' B R' U2 R U (y) R U R'|OLL}}
{{Alg|y' (R' U' R U' R' U2 R) U' (R U R' U') (R' F R F')|OLL}}

|-valign="top"
|

=== OLL 41 ===
{{case
|image=o41.gif
|name=
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R U' R' U2 R U y R U' R' y' U' R'|OLL}}
{{Alg|y R U2' R' U' R U' R2 (y) L' U' L U F|OLL}}
{{Alg|y2 F U R U' R' F' R' U2 R U R' U R|OLL}}
{{Alg|y2 (R U R' U R U2 R') F (R U R' U') F'|OLL}}
{{Alg|y2 r R2 y' R' U' R U y R U' M|OLL}}
{{Alg|y2 R2 L z' l' U' R d L U' L l'|OLL}}
{{Alg|y' (L F' L' F)*2 L U' L' U L U' L|OLL}}
{{Alg|y2 M' R' F' U' F U R U' M|OLL}}
{{Alg|R' M2 U' F' U F r U' M'|OLL}}
{{Alg|(y) (R B' R' B)2 R' U' R U R' U' R|OLL}}
|

=== OLL 42 ===
{{case
|image=o42.gif
|name=
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|r' R2 y R U R' U' y' R' U M'|OLL}}
{{Alg|R' U' R U F R U R' U' R' U R U' F'|OLL}}
{{Alg|L' U L U2 L' U' y' L' U L U F|OLL}}
{{Alg|y R' U2 R U R' U R2 y R U R' U' F'|OLL}}
{{Alg|y (R' F R F')*2 R U R' U' R U R'|OLL}}
{{Alg|y2 L2 R' z r U L' d' R' U R' r|OLL}}
{{Alg|y2 M' U f U R U' R' f' M|OLL}}
{{Alg|M R f R f' U' R' U M'|OLL}}
{{Alg|(R' U' R U' R' U2 R) F (R U R' U') F'|OLL}}
|}

==All Corners Oriented==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 28 ===
{{case
|image=o28.gif
|name=Stealth, Arrow, Arrowhead, Fish
|methods=OLL
|optimal=9 [[HTM]]
|text=
}}
{{Alg|r U R' U' r' R U R U' R'|OLL}}
{{Alg|y r U2 R' U' R U' r' R U R' U R U2 R'|OLL}}
{{Alg|r U R' U R U2 r' R U2 R' U' R U' R'|OLL}}
{{Alg|y r' U' R U' R' U2 r R' U2 R U R' U R|OLL}}
{{Alg|y' r' U' R U M' U' R' U R|OLL}}
{{Alg|r' U2 R U R' U r R' U' R U' R' U2 R|OLL}}
{{Alg|F R U R' U' F' U2 F R U R' U' F'|OLL}}
{{Alg|F R U R' U' F2 L' U' L U F|OLL}}
{{Alg|M U M' U2 M U M'|OLL}}
{{Alg|y M U' M' U2 M U' M'|OLL}}
{{Alg|y2 M' U M U2 M' U M|OLL}}
{{Alg|y' M U M2 U M' U2 M U M |OLL}}
{{Alg|M U M U M' U' M U' M U M |OLL}}
{{Alg|M U M' U M U2 M' U' M U' M'|OLL}}
{{Alg|y M U' M U' M' U M U M U' M |OLL}}
{{Alg|y2 M U' M2 U' M' U2 M U' M |OLL}}
{{Alg|y' M U M' U M U M' U M U M' |OLL}}
{{Alg|y' M' U' M U M U M U' M U' M' U M2|OLL}}
{{Alg|y' M2 U M' U2 M U M U M U2 M' U M|OLL}}
{{Alg|y2 M' U M U' M U' M U M U M' U' M2 |OLL}}
{{Alg|M U' M2 U2 M' U' M U2 M U' M U' M' |OLL}}
{{Alg|y' M' U' F2 M2 U' M U F2 U M2 |OLL}}
{{Alg|y2 M' U F2 M2 U M U' F2 U' M2 |OLL}}
{{Alg|R' F R S R' F' R S' |OLL}}
{{Alg|L2 S U' S' U L2 U S U S' |OLL}}
{{Alg|y L F' L' S' L F L'S |OLL}}
{{Alg|y' M U R U R' U' M' U R U' R' |OLL}}
|

=== OLL 57 ===
{{case
|image=o57.gif
|name=Mummy, H, I, Brick
|methods=OLL
|optimal=10 [[HTM]]
|text=
}}
{{Alg|M' U' M' U' M' d2 M' U' M' U' M'|OLL}}
{{Alg|M' U M' U M' d2 M' U M' U M'|OLL}}
{{Alg|R U R' U' r R' U R U' r'|OLL}}
{{Alg|(x') M' U' R U M U' R' U (x)|OLL}}
{{Alg|R' U' R U M U' R' U r|OLL}}
{{Alg|M U M U M U2 M' U M' U M' |OLL}}
{{Alg|M' U M' U M' U M' U2 M' U M' U M' U M' |OLL}}
{{Alg|M' U' M' U' M' U2 M U' M U' M|OLL}}
{{Alg|M U M' U' M U M' U M U2 M'|OLL}}
{{Alg|M' U' M U M' U' M U' M' U2 M|OLL}}
{{Alg|M U M2 U2 M U M U2 M U' M' U' M'|OLL}}
{{Alg|M' U' M2 U2 M' U' M' U2 M' U M U M|OLL}}
{{Alg|M2 U' M U M' U M' U' M' U' M' U M |OLL}}
{{Alg|M2 U' M' U M U M U' M U' M U M' |OLL}}
{{Alg|y M' U M' U M' U M' U M' U' M' U' M' U' M' |OLL}}
{{Alg|y M' U M U M' U M U' M' U' M|OLL}}
{{Alg|y M' U' M U' M' U' M U M' U M|OLL}}
{{Alg|y M U' M' U' M U' M' U M U M'|OLL}}
{{Alg|y M U M' U M U M' U' M U' M'|OLL}}
{{Alg|M U M' U' F2 M U M' U' F2 |OLL}}
{{Alg|M' U' M U F2 M' U' M U F2|OLL}}
{{Alg|M2 U' F2 U' M' U M2 F2 U M|OLL}}
{{Alg|F M' F U M2 U2 M2 U F' M F' |OLL}}

|}

 {{OLL}}

[[Category:3x3x3 last layer substeps]]
[[Category:Acronyms]]
[[Category:Algorithms]]

__NOTOC__