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PLL

2012-09-24T21:10:00Z

Jacob P: Average for optimal

{{Method Infobox
|name=PLL
|image=PLLinfo.jpg
|proposers=
|year=
|anames=
|variants=
|steps=1
|algs=21
|moves=11.8 [[HTM]]
|purpose=
* [[Speedsolving]]
}}
'''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]].

{{PLL}}
== See also ==
* [[2-Look PLL]]
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]

== External links ==

* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html Recognize PLLs by patterns] (PLL patterns and Algs by RiDo)
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]
* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version

=PLL algorithms=
{{Algnote}}
==Permutations of Edges Only==
This subgroup, [[EPLL]] is used as a [[substep]] for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

{{H-PLL}}
{{U-PLL(a)}}
{{U-PLL(b)}}
{{Z-PLL}}

==Permutations of Corners Only==
This is also known as [[CPLL]] (Corner Permute Last Layer). There is one more case in this group, the X-PLL but that is the same alg as [[H-PLL]] + U2, see [[EPLL]].

{{A-PLL(a)}}
{{A-PLL(b)}}
{{E-PLL}}

==Permutations of Edges and Corners==

===F Permutation===
{{case
|image=f.gif
|name=F-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [R', U] [R2: [F', U'] [R, F] ] (U')
{{Alg|L' U2 L' U' F' L' F2 U' F' U F' L F U' L|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
Decomposition(Alg.2) = [L' U: [U: (L')] [F' L' F: [F, U'] ] ]
{{Alg|L B2 F' D2 B R' B' D2 F2 L' F' L B2 L'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}
Decomposition(Alg.3) = [L B2: [F' D2 B: (R')] [F, L'] ]
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [B' U': [R': [B, U] [B', R] ] [B U' B': (U')] ]
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')|Alg.5(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y' z) R U R' U' R U2 (z' y') R U R' U' (y x) L' U' L U L2 (x')|Alg.5(v3)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [L, U'] [L2: [F, U] [L', F'] ] (U)
{{Alg|R' U2 R' U2 L U' R' U' R' U R U2 L' U2 R U R|Alg.6|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [R' U': [R' U2 L U': [U, L' U2 R] [U' R' U': (R')] ] ]
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|Alg.7|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [L2: [L', U2] [R': [U L U: (L)] [U', R] ] [U, L'] ]
{{Alg|L R' F2 R' D L' F2 R U' L2 R B2 L2 U|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2 (x')|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [L R': [F2 R': (D)] [F2, L' R'] ] [R', U'] [U' L2: B2]
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(r U R' U') (z) U' (l' U2 r' U') (r U2 l' U R2) (x)|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [F2 R': [R, F2 L F] [F D2 B': (L')] ]
{{Alg|R B2 D B2 R' B' R B' D2 F L' F' D B2 R'|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y x) U R2 F R2 U' R' U l' U2 L F' L' U (x') R2 U' (x')|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [R B2 D: [B2: [R', B'] ] [D2 F: (L')] ]
{{Alg|B U B' U B U2 B2 U' B U' B' U2 B U F R B' R' F' R B R'|Alg.11|cube=3x3x3&stage=PLL}}
{{Alg|(y) (R U R' U R U2 R2) (U' R U' R' U2 R) U (r U R' U' r' F R F')|Alg.11(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [B: (U)] [U': [U2, B] [B', U'] [U2, B'] ] [F, R B' R']
{{Alg|F2 B2 D F2 B2 R U R' U' R' F R2 U' R' U' R U R' F B2 D' F2 B2|Alg.12|cube=3x3x3&stage=PLL}}
{{Alg|(y) M2 U M2 (y') (R U R' U' R' F R2 U' R' U' R U R' F') (y) M2 U' M2|Alg.12(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.12) = [F2 B2 D B2 F': [F': [R, U] [R', F] ] [R U' R': (U')] ]
{{Alg|R U' F R F' U F' U' F2 R' F' U' R' U2 R'|Alg.13|cube=3x3x3&stage=PLL}}
{{Alg|(y) F U' r U r' U r' F' r2 U' r' U' F' U2 F'|Alg.13(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.13) = [R U': [F R F': [U, F'] ] [U': (R')] ]

===G Permutation : a===
{{case
|image=g3.gif
|name=G-PLL a
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y) R2' u R' U R' U' R u' R2 (y') R' U R|PLL}}
{{Alg|(y) R2 D B' U B' U' B D' R2 F' U F|PLL}}
{{Alg|(y2) F2' D R' U R' U' R D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}
{{Alg|R U R' U' R' U F R U R U' R' F' U R' U2 R|PLL}}

===G Permutation : b===
{{case
|image=g2.gif
|name=G-PLL b
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|R' U' R (y) R2 u R' U R U' R u' R2|PLL}}
{{Alg|(y) F' U' F R2 u R' U R U' R u' R2'|PLL}}
{{Alg|R' U' R B2 D L' U L U' L D' B2|PLL}}
{{Alg|(y2) L' U' L (y') R2' u R' U R U' R u' R2|PLL}}
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R'|PLL}}
{{Alg|(y2) R' U2 R U' F R U R' U' R' F' U' R U R U' R'|PLL}}

===G Permutation : c===
{{case
|image=g1.gif
|name=G-PLL c
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y) R2' u' R U' R U R' u R2 (y) R U' R'|PLL}}
{{Alg|(y) R2' u' R U' R U R' u R2 B U' B'|PLL}}
{{Alg|(y) R2' U' R U' R U R' U R2 D' U R U' R' D|PLL}}
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') R2' F2 R U2 R U2 R' F R U R' U' R' F R2|PLL}}
{{Alg|(y') l' U2' L' U l F' U' L U F R' F R|PLL}}

===G Permutation : d===
{{case
|image=g.gif
|name=G-PLL d
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|(y2) R U R' (y') R2 u' R U' R' U R' u R2|PLL}}
{{Alg|(y2) R U R' F (y') R u' R U' R' U R' u R2|PLL}}
{{Alg|(y2) R U R' F2 D' L U' L' U L' D F2|PLL}}
{{Alg|(y2) L U2 L' U F' L' U' L U L F U L' U' L' U L|PLL}}
{{Alg|(y2) l2 U' L2 U' F2 L' U' R U2 L' U l (x')|PLL}}
{{Alg|(y) L U' R U2 L' U R' (y) R' L' U2 R L|PLL}}
{{Alg|(y) L U' R U2 L' U R' (y') L' R' U2 L R|PLL}}
{{Alg|(y) f R f' R2 u' R U' R' U R' u R2|PLL}}
{{Alg|(y') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y') R2' F' (R U R U') (R' F' R) (U2' R' U2' R') F2 R2|PLL}}

===J Permutation : a===
{{case
|image=j1.gif
|name=J-PLL a
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|B' U F' U2 B U' B' U2 F B U'|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 R L|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y') L' U R' U2 L U' L' U2 R L|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y') L' U R' (z) R2 U R' U' R2 U D (z')|Alg.1(v4)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [B' U: [F' U2 B: (U')] [B, U'] ]
{{Alg|B2 R' U' R B2 L' D L' D' L2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 L' U' L F2 R' D R' D' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 L' U' L b2 L' U L' U' r2|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y x') R2 u' R' u R2 (x' y') R' U R' U' l2'|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 x) U2 r' U' r U2 l' U R' U' l2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) l2 U R U' l U2 r' U r U2 (x')|Alg.2(v6):Inv(Alg.2(v5))|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [B2 R': (U')] [L': [D, L'] ]
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|Alg.3|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [L' R': [R, U] [U' L U', R] (U) [U, L] ]
{{Alg|L' U' L F L' U' L U L F' L2 U L U|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [L' U' L F: [L', U'] [L, F'] ] (U)
{{Alg|B2 R2 U' R2 D B2 D' B2 U B2 U'|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|Alg.5(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [B2: [R2: (U')] [D, B2] [U, B2] ]
{{Alg|B2 U' D B2 U' B2 U B2 D' B2 U B2 U'|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y) R2 (U' D) R2' U' R2 U R2' D' R2 U R2'|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [D B2: [B2, D'] (U') [B2, U'] ] [B2, U]
{{Alg|L' U2 L U L' U2 R U' L U R'|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|Alg.7(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R U R' (z) R2' U R' D R U' (z')|Alg.7(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2' R U R' (z) R2 U R' D R U' (z')|Alg.7(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) D R' U' R D' R (R U R' U') R2 U (z')|Alg.7(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|Alg.7(v7):Inv(Alg.7(v2))|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
Decomposition(Alg.7) = [L': [U2 L: (U)] [R: [U', L]] ]
{{Alg|R' L' U2 L U L' U2 R U' L U|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R|Alg.8(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R' L' d2 R U R' d2 R U' L|Alg.8(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U' D' R2 U R U' R2 (z') R U' L|Alg.8(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y') L' U R' U2 L U' L' U2 L R|Alg.8(v5):Inv(Alg.8)|cube=3x3x3&stage=PLL}}
{{Alg|(y') L' U R' (z) R2 U R' U' R2 U D (z')|Alg.8(v6):Inv(Alg.8(v4))|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [L': [R' U2 L: (U)] [U', L] ]
{{Alg|B U' L' B L2 U' L' U' L U L' B' L U L' B'|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F U' R' F R2 U' R' U' R U R' F' R U R' F'|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [B L U' L' B: [B' L U, L'] [L, U'] (U') [U', L] ]
{{Alg|B' U B' R2 F D' F D F2 R2 B2|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U l' U2 r U' L U r2 F2 R2|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [B2: [B: (U)] [R2 F: [D', F] ] ]

===J Permutation : b===
{{case
|image=j.gif
|name=J-PLL b
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|B U' F U2 B' U B U2 F' B' U|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|(y') L U' R U2 L' U L U2 R' L'|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R U' L U2 R' U R U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R U' L (z') L2 U' L U L2 D' U' (z)|Alg.1(v4)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [B U': [F U2 B': (U)] [B', U] ]
{{Alg|B2 L U L' B2 R D' R D R2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 R U R' F2 L D' L D L2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 R U R' b2 R U' R U l2'|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') L2 u L u' L2 (x' y) L U' L U r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 x) U2 l U l' U2 r U' L U r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) r2 U' L' U r' U2 l U' l' U2 (x')|Alg.2(v6):Inv(Alg.2(v5))|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [B2 L: (U)] [R: [D', R] ]
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [L R: [L', U'] [U R' U, L'] (U') [U', R'] ]
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [R U R' F': [R, U] [R', F]] (U')
{{Alg|B2 L2 U L2 D' B2 D B2 U' B2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|B2 L2 U L2 u' L2 D L2 U' L2|Alg.5(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [B2: [L2: (U)] [D', B2] [U', B2] ]
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y') L2 (U D') L2 U L2 U' L2 D L2 U' L2|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U' L U2' R' U L' U' R|Alg.7(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U' L (z') L2' U' L D' L' U (z)|Alg.7(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2' L' U' L (z') L2' U' L D' L' U (z)|Alg.7(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z') D' L U L' D L' (L' U' L U) L2' U' (z)|Alg.7(v5)|cube=3x3x3&stage=PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U L U' R U2 L' U L U2 L'|Alg.7(v7):Inv(Alg.7(v2))|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [R: [U2 R': (U')] [L': [U, R'] ] ]
{{Alg|L R U2 R' U' R U2 L' U R' U'|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R L U2 L' U' L U2 R' U L'|Alg.8(v2)|cube=3x3x3&stage=PLL}}
{{Alg|L R d2 L' U' L d2 L' U R'|Alg.8(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(z') U D L2 U' L' U L2 (z) L' U R'|Alg.8(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R U' L U2 R' U R U2 R' L'|Alg.8(v5):Inv(Alg.8)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R U' L (z') L2 U' L U L2 U' D' (z)|Alg.8(v6):Inv(Alg.8(v4))|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [R: [L U2 R': (U')] [U, R'] ]
{{Alg|B' U R B' R2 U R U R' U' R B R' U' R B|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F' U L F' L2 U L U L' U' L F L' U' L F|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [B' R' U R B': [B R' U', R] [R', U] (U) [U, R'] ]
{{Alg|B U' B L2 F' D F' D' F2 L2 B2|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y') L U' r U2 l' U R' U' l2 F2 L2|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [B2: [B': (U')] [L2 F': [D, F'] ] ]

===N Permutation : a===
{{case
|image=n1.gif
|name=N-PLL a
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(L U' R U2 L' U R')2 U'|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U R' D R2 U' R D')2 (z')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D R' U R2 D' R U')2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'|Alg.1(v6)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [L R: [R', U'] [U2: [U': [L', U] ] [R', U'] ] [U', L'] ] (U')
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(z) U R' U' R U F R F' U' R' U F' U F U' R U' (z')|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(L U' L F') L' F (L' U L) F U' (F' L' U' L U) L'|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [L U': [L' U L F: (U)] [F', L] ]
{{Alg|R U' R' U R B U B' R' U' R B' R B R' U R'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [R U': [R' U R B: (U)] [B', R] ]
{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R U'|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [R' U R2 B2 U R': B2] (U')
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|Alg.5|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [F' R U, R'] [R F U' R': (U')]
{{Alg|R U R' U (R U R' F' R U R' U' R' F R2 U' R') U2 R U' R'|Alg.6|cube=3x3x3&stage=PLL}}
Decompositon(Alg.6) = [R U R': [U2: [U', R] [F' R U, R'] [R, U'] ] (U')]
{{Alg|R U R' B U B' R' B U B' U' B' R B2 U' B' U' R U' R'|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|L U L' (y') (R U R' F' R U R' U' R' F R2 U' R') (y') U' R U' R'|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [R U R': [B U B' R': [B, U] [B', R]] (U')]
{{Alg|L2 U2 L' U2 F2 L2 F2 L F2 U2 L2 U2 L F2|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(z) U2 R2 U' R2 (y') R2 U2 R2 U R2 (y) R2 U2 R2 d R2 (x')|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [L: [L, U2] [F2, L2] ] [F2: [U2, L2] (L')]
{{Alg|R U R' U' L U2 L' U' L U2 R' U L' U' R U R U' R'|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(R U R' U') L U2 L' U' L (z') L2 U' L D' L' U (L U L' U') (z)|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [R U R' U': [L: [U2 L': (U')] [R' U, L'] ] ]
{{Alg|L' U L2 F2 U L' F2 L U' F2 L2 U' L U'|Alg.10|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [L' U L2 F2 U L': F2] (U')
{{Alg|L2 F2 U2 F2 U' F2 L2 U2 L2 U' F2 U2 L2 U'|Alg.11|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [L2 U F2: [F2, U'] [U, F2] [L2, U2] [U, F2] ] (U')
{{Alg|(L U L' U) (R' U L U') R U2 (L' U L U2) L' (U' L U' L')|Alg.12|cube=3x3x3&stage=PLL}}
Decomposition(Alg.12) = [L U L' U: [L: [R': [L', U] ] [U2 L': (U)] ] ]

===N Permutation : b===
{{case
|image=n.gif
|name=N-PLL b
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(R' U L' U2 R U' L)2 U|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y' z') L (U' L D' L2 U L' D)2 (z)|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(L' U R' U2' L U' R)2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U' R D' R2' U R' D)2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U' R D' R2 U R' U' (z') R U R' (z) R2 U R' (z') R|Alg.1(v6)|cube=3x3x3&stage=PLL}}
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|Alg.1(v7)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [L' R': [L, U] [U2: [U: [R, U'] ] [L, U] ] [U, R] ] (U)
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(z') U' L U L' U' F' L' F U L U' F U' F' U L' U (z)|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(R' U R' F) R F' (R U' R') F' U (F R U R' U') R|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [R' U: [R U' R' F': (U')] [F, R'] ]
{{Alg|L' U L U' L' B' U' B L U L' B L' B' L U' L|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [L' U: [L U' L' B': (U')] [B, L'] ]
{{Alg|L U' L2 B2 U' L B2 L' U B2 L2 U L' U|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [L U' L2 B2 U' L: B2] (U)
{{Alg|F L' U' L U L F' L2 F' U L U L' U' F L|Alg.5|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [F L' U', L] [L' F' U L: (U)]
{{Alg|L' U' L U' (L' U' L F L' U' L U L F' L2 U L) U2 L' U L|Alg.6|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [L' U' L: [U2: [U, L'] [F L' U', L] [L', U] ] (U)]
{{Alg|L' U' L B' U' B L B' U' B U B L' B2 U B U L' U L|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|R' U' R (y) (L' U' L F L' U' L U L F' L2 U L) (y) U L' U L|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [L' U' L: [B' U' B L: [B', U'] [B, L']] (U)]
{{Alg|R2 U2 R U2 F2 R2 F2 R' F2 U2 R2 U2 R' F2|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(z') U2 L2 U L2 (y) L2 U2 L2 U' L2 (y') L2 U2 L2 d' L2 (x')|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [R': [R', U2] [F2, R2] ] [F2: [U2, R2] (R)]
{{Alg|L' U' L U R' U2 R U R' U2 L U' R U L' U' L' U L|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(L' U' L U) R' U2' R U R' (z) R2 U R' D R U' (R' U' R U) (z')|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [L' U' L U: [R': [U2 R: (U)] [L U', R] ] ]
{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R' U|Alg.10|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [R U' R2 F2 U' R: F2] (U)
{{Alg|R2 F2 U2 F2 U F2 R2 U2 R2 U F2 U2 R2 U|Alg.11|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [R2 U' F2: [F2, U] [U', F2] [R2, U2] [U', F2] ] (U)
{{Alg|(R' U' R U') (L U' R' U) L' U2 (R U' R' U2) R (U R' U R)|Alg.12|cube=3x3x3&stage=PLL}}
Decomposition(Alg.12) = [R' U' R U': [R': [L: [R, U'] ] [U2 R: (U')] ] ]

===R Permutation : a===
{{case
|image=r1.gif
|name=R-PLL a
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|Alg.1(v5):Inv(Alg.1)|cube=3x3x3&stage=PLL}}
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|Alg.1(v6):Inv(Alg.1(v4))|cube=3x3x3&stage=PLL}}
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|Alg.1(v7)|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|Alg.1(v8)|cube=3x3x3&stage=PLL}}
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|Alg.1(v9)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [R, U2] [R B' R', U' R U] [U' R: (U)]
{{Alg|F2 L2 U F U F' U' F' U' L2 F' U F' U'|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [R U': [R F2 U R U: (R)] [R', U] ]
{{Alg|F U F' L' F U2 F' U2 F' L F U F U2 F' U'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|(y') R U R' F' R U2 R' U2 R' F R U R U2 R'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [F U F' L' F U2, F'] [U2, F] (U')
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [R: [U2 R' U2, U R' F' R] ] (U)
{{Alg|L' U' L U2 L U2 R' L2 U L U' L R U2 L' U2|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U' R U2 R U2 L' R2 U R U' R L U2 R'|Alg.5(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [L': (U')] [U2, L] [R': [L', U] ] [L, U2]
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|Alg.6|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [U' R: [R', U] [U', R D R'] [U' R': (U)] ]
{{Alg|F U' F' U' F U F D F' U' F D' F' U2 F' U'|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|(y') R U' R' U' R U R D R' U' R D' R' U2 R'|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [F: [U' F': (U')] [F D F', U'] [U, F'] ]
{{Alg|B' L' U' L B' L' U B' U' B' U B L B2|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(y x') R' U' F' U R' U' (x) U R' U' R' U R B R2|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [B2 L': [L B L', U'] [B' U': (B')] ]
{{Alg|R U2 R' U B L' B' R B L B' U R' U|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' U (y) R B' R' F R B R' (z x) R U' (x' z')|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [R U' R': [R, U'] [B L' B', R] ] (U)
{{Alg|L U2 L2 B L B' L U2 L' F' L' U L U L' U' L F|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U2 l' R' U R U' l U2 R' B' R' U R U R' U' R B|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [L U2 L': [L', B] ] [F' L': [U L: (U)] ]
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|Alg.11|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [R U2: [R D R', U] [R', U] ] (U)

===R Permutation : b===
{{case
|image=r.gif
|name=R-PLL b
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F R U R' U' l' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R2 F R U R U' R' F' R U2 R' U2 R|Alg.1(v5):Inv(Alg.1)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R2 F R U R U' R' F' R U2 R' U2 R|Alg.1(v6):Inv(Alg.1(v4))|cube=3x3x3&stage=PLL}}
{{Alg|B2 R B U B U' B' R' B U2 B' U2 B|Alg.1(v7)|cube=3x3x3&stage=PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|Alg.1(v8)|cube=3x3x3&stage=PLL}}
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L|Alg.1(v9)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [R', U2] [R' F R, U R' U'] [U R': (U')]
{{Alg|B2 L2 U' B' U' B U B U L2 B U' B U|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' B2 U' R' U' R' U R U B2 R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y) R2 B2 U' R' U' R U R U B2 R U' R|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [R' U: [R' B2 U' R' U': (R')] [R, U'] ]
{{Alg|B' U' B L B' U2 B U2 B L' B' U' B' U2 B U|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' R B R' U2 R U2 R B' R' U' R' U2 R|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [B' U' B L B' U2, B] [U2, B'] (U)
{{Alg|R' U2 R U R B R' U2 R' U2 R B' R' U R U'|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [R': [U2 R U2, U' R B R'] ] (U')
{{Alg|L U L' U2 L' U2 R L2 U' L' U L' R' U2 L U2|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U R' U2 R' U2 L R2 U' R' U R' L' U2 R|Alg.5(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [L: (U)] [U2, L'] [R: [L, U'] ] [L', U2]
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|Alg.6|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [U R': [R, U'] [U, R' D' R] [U R: (U')] ]
{{Alg|B' U B U B' U' B' D' B U B' D B U2 B U|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U R U R' U' R' D' R U R' D R U2 R|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [B': [U B: (U)] [B' D' B, U] [U', B] ]
{{Alg|F L U L' F L U' F U F U' F' L' F2|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(y' x) R U B U' R U (x') U' R U R U' R' F' R2|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [F2 L: [L' F' L, U] [F U: (F)] ]
{{Alg|R' U2 R U' F' L F R' F' L' F U' R U'|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U' (y') R' F R B' R' F' R (z x') R' U (x z')|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [R' U R: [R', U] [F' L F, R'] ] (U')
{{Alg|L' U2 L2 F' L' F L' U2 L B L U' L' U' L U L' B'|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [L' U2 L: [L, F'] ] [B L: [U' L': (U')] ]
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|Alg.11|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [R' U2: [R' D' R, U'] [R, U'] ] (U')

===T Permutation===
{{case
|image=t.gif
|name=T-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]], [[BLD]]
|optimal=11 [[HTM]]
|text=
}}
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|Alg.1(v2):Inv(Alg.1)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) B L U' L' U L U L2 B' L U L U' L'|Alg.1(v3):Inv(Alg.1)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [R, U] [F: [F', R'] [R U' R': (U')] ]
{{Alg|R' U' R U R B' R2 U R U R' U' R B|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|Alg.2(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [R', U'] [B': [B, R] [R' U R: (U)] ]
{{Alg|R2 U R2 U' R2' U' D R2 U' R2' U R2 D'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [R2, U] [D R2: [R2, D'] [U' R2: (U')] ]
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2 U|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L2 U' L2 D F2 R2 U R2 D' F2|Alg.4(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|Alg.4(v3)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [U': [U, R2] [B2 D: [D', B2] [L2: (U)] ] ]
{{Alg|R2 D' F2 U F2 R2 D B2 U' B2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|R2' u' R2 U R2' (y) R2 u R2' U' R2|Alg.5(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [R2 D' F2: (U)] [R2, D'] [B2, U']
{{Alg|R2 D' F2 D R2 B2 D L2 D' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U2 r' U2 r U2 (x) U2 r U2 r' U2 (z')|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [R2 D': F2] [B2 D: L2] (U)
{{Alg|R U R' U' R2 D R' U' R' U' R U R2 D' R|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U' R2 D R' U' R' U' R U (z') U2 R' U (z)|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [R, U] [R' D R': [R, D'] [R' U' R': (U')] ]
{{Alg|R2 U R2 U' R2 F2 U' F2 D R2 D'|Alg.8|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [R2: [U, R2] [F2: (U')] [D, R2] ]

===V Permutation===
{{case
|image=V.gif
|name=V-PLL
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' (y) U' R' F' R2 U' R' U R' F R F|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y x) R' U' R2 B' R' B R' U R U (x')|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y x) R' U' R2 (x') U' R' U R' F R F|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y) R' F' R2 U' R' U R' F R F|Alg.1(v6)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [R2: [R, U] [B': (R')] [B, U'] [B', R] ]
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y x) R' F R' F' R2 U' R' U R U (x')|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (x2 y') R' U R' U' l R U' R' U R U (x')|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (x' y) U' R U' R' U2 (y') R' U' R U R (x)|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y) R' D R' D' R2 F' R' F R F|Alg.2(v5)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [R2: [R, U] [B': [D, B'] [B: (R')] ] [B', R] ]
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U L'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [R', U2] [L U' R' U L': (U)]
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|Alg.4|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [R2: [U', B2] [R D': (R)] [U, R] ]
{{Alg|F' U B U' F U F' U B' U' F U2 B U2 B'|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y') R' U L U' R U R' U L' U' R U2 L U2 L'|Alg.5(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y) r' F R F' r U r' F R' F' r U2 R U2 R'|Alg.5(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y) L' U R U' L U L' U R' U' L U2 R U2 R'|Alg.5(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y z) U' R D R' U R U' R D' R' U R2 D R2 D' (z')|Alg.5(v5)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [F' U B U' F: (U)] [U2, B]
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U' L' U R' U' R U' L U R' U2 L' U2 L|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [L U' R' U L': (U')] [U2, R']
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|Alg.7|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [U: [U': (R)] [D: [D', U R'] [R: [U', R] ] [D: [R', U']] ] ]

===Y Permutation===
{{case
|image=Y.gif
|name=Y-PLL
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|Alg.1|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
Decomposition(Alg.1) = [F R U' R': (U')] [R, U] [R', F]
{{Alg|R' U' R F2 R' U R U F2 U' F2 U' F2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [F2: [F2, R' U' R] [U F2: (U')] ]
{{Alg|R2 U' R2 U' R2 U F U F' R2 F U' F'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U2 R' U2 R' U2 R B R B' U2 B R' B' (z')|Alg.3(v3)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [R2: [U' R2: (U')] [F U F', R2] ]
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [F2: [D R2: (U)] [R' U' R, F2] ]
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|Alg.5|cube=3x3x3&stage=PLL}}
Decomposition(Alg.5) = [F2: [F', R'] [R U' R': (U')] [F': [R, U] ] ]
{{Alg|F R' F' R U R U' R2 U' R U R B' R' B U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U (x)|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [F, R'] [U, R] [R', U'] [R, B'] (U)
{{Alg|F R U' R' U' R U F U F' R' F U' F2|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|Alg.7(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.7) = [F: [R, U'] [U2, R] [R: [U', F] ] [F: (U')] ]
{{Alg|R' F R F' U' F' U F2 U F' U' F' L F L' U'|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|R' F R F' (y') U' R' U R2 U R' U' R' F R F'|Alg.8(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.8) = [R', F] [U', F'] [F, U] [F', L] (U')
{{Alg|R' F' U F U F' U' F R F' U' F U F R' F' R|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(y) F' L' U L U L' U' L F L' U' L U L F' L' F|Alg.9(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.9) = [R' F' U F: (U)] [F', U'] [F, R']
{{Alg|F2 U F U' F' U L F R' F R F L' F'|Alg.10|cube=3x3x3&stage=PLL}}
{{Alg|(y z) U2 R U R' U' R (y) R U L' U L U R' U' (x)|Alg.10(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.10) = [F2: [U, F] (U) [L F: [R', F] ] [L, F'] ]
{{Alg|R2 U' R' U R U' B' R' F R' F' R' B R|Alg.11|cube=3x3x3&stage=PLL}}
{{Alg|(z') U2 L' U' L U L' (y') L' U' R U' R' U' L U (x)|Alg.11(v2)|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R' U R U' (z' y') L' U' R U' R' U' L U (y z)|Alg.11(v3)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.11) = [R: [R, U'] [R: (U')] ] [R2, B'] [B': [R, F] [R', B] ]
{{Alg|F R U' R' F D R' B' R' B R2 D' F2|Alg.12|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' F D R' (y x) R' U' R (z) R2 (y) L' d2 (z)|Alg.12(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.12) = [F R: (U')] [F2 D R2: [R, B'] ]
{{Alg|R' U' R2 U' L U2 R' U R U2 L' R' U R' U R|Alg.13|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U' R' U2 R' D R2 U' R U R2 U' D' R U' R U (z')|Alg.13(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.13) = [R' U' R2: [U' L U2 R': (U)] [U', R'] ]
{{Alg|F R F' U' F R' F' R B' R2 B R' U' R2 U|Alg.14|cube=3x3x3&stage=PLL}}
{{Alg|(y) r U r' U' r U' r' (y') l U' R2 U l' U' R2|Alg.14(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.14) = [F R F': (U')] [R: [B', R2] ] [R2, U']

 {{PLL}}

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

__NOTOC__

First Two Layers

2012-09-24T21:03:16Z

Jacob P: Average for optimal

{{Method Infobox
|name=F2L
|image=F2Linfo.png
|proposers=[[René Schoof]]
|year=1981
|anames=
|variants=[[ZBLS]], [[VHF2L]], [[WV]], [[MGLS]], possibly others
|steps=1
|algs=42
|moves=6.7 [[HTM]] a slot
|purpose=
* [[Speedsolving]], [[FMC]]
}}
'''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}}

|-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|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}}

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|R B L U' L' B' R'|F2L}}
Front left slot open: U (R U' R') D (R U' R') D'

|

=== 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|F' L' B' U B L F|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}}

|-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|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}}
|

=== 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}}

|-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}}

|-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}}

|

=== 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}}
{{Alg|(R U' R') d (R' U2 R U2') (R' U' R)|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}}

|

=== 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}}

|-valign="top"
|}

== See also ==
* [[Keyhole First Two Layers]]
* [[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 ===
* [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__

Fewest Moves Challenge

2012-07-28T18:49:50Z

Jacob P:

''FMC redirects here. This page is about the [[WCA]] official event. For the [[online contest]], see [[Fewest Moves Challenge]].''

'''Fewest Moves''' (or '''F'''ewest '''M'''oves '''C'''hallenge, '''FMC''') is an event where competitors attempt to solve a puzzle (almost always the [[3x3x3]]) in as few moves as possible, starting from a given scramble. The usual turn metric is [[HTM]].

There is one [[WCA]]-official Fewest Moves event: writing down the shortest possible solution to a 3x3x3 scramble, with a time limit of one hour. Other types of fewest move solving have been tried in the [[Fewest Moves Challenge]], with the most popular other events being the Linear Fewest Moves event (solving the 3x3x3 with as few moves as possible, without being able to undo moves) and the event of writing down the shortest possible solution for the 3x3x3 with a time limit of one week.

The original '''Fewest Moves Challenge''' (FMC) was a challenge started by [[Dan Harris]]. It was the first online Fewest Moves competition and, although it is no longer run by Dan, it remains a good way to practice fewest moves solving. One scramble is given per event every week, and the results are typically up soon after the next round starts.

==History==

Although it is very likely that fewest moves solving was first experimented with in the 1980s, the event was popularized by [http://www.cubestation.co.uk/ Dan's Cube Station] with its Fewest Moves Challenge (FMC), which began in April 2003 and was held nearly every week for many years. The event was also held at many competitions starting with the [[World Rubik's Games Championship 2003]], and recently it has become even more popular due to the weekly competitions at the [[Speedsolving.com]] forum.

==Records==

The first world record for the WCA event was set in 2003 and was 29 moves by [[Mirek Goljan]]. He improved this result to 28 moves in 2005, a record which stood for more than three years until it was broken by [[Guus Razoux Schultz]], 27 moves in 2008. The record then was brought down to 22 moves by Jimmy Coll and István Kocza. After over 3 years, the current record was set at the Czech Open 2012 with Tomoaki Okayama presenting a 20 move solution.

The best known unofficial result (using a properly scrambled cube) is 18 moves in Weekly Competition 2012-20 by [[Guus Razoux Schultz]][http://www.speedsolving.com/forum/showthread.php?36863-Weekly-competition-2012-20&p=745504&viewfull=1#post745504 .]

==Algorithms==
[[Algorithm]]s that may be used in FMC are at many pages in this wiki, se for example [[ELL]], [[LLEF]], [[L3C]] and [[L4C]].

The [[BH]] method is a nice complement for the advanced FMC competitor, learning how to deal with optimal [[commutator]]s helps a lot.

== See Also ==
* [[Fewest Moves techniques]]
* [[Fewest Moves methods]]
* [[Move count]]
* [[Puzzle theory]]
* [[Blindsolving]]
* [[One-Handed solving]]
* [[Solving with feet]]

== External Links ==
* [http://fmc.mustcube.net/ New FMC Website]
* [http://games.groups.yahoo.com/group/fewestmoveschallenge/ FMC Yahoo Group]
* [http://www.cubestation.co.uk/cs2/index.php?page=fmc/fmcnewsystem Dan Harris's Fewest Moves Challenge Page] (now obsolete)
* Speedsolving.com [http://www.speedsolving.com/forum/showthread.php?13599 The FMC thread]
* Speedsolving.com [http://www.speedsolving.com/forum/showthread.php?1566 Fewest Moves Tips and Techniques]
[[Category:Solving Variants]]

List of Unofficial World Records

2012-06-20T14:20:40Z

Jacob P:

List of unofficial word records. Note that these are decided by general consensus, and are not in any way officially sanctioned. An older and less up-to-date unofficial world record list can be found at speedcubing.com.

For official records, see [[List of World Records]].

== Official NxNxN events ==
{| class="wikitable"
|-
! Event
! Format
! Result
! Name
! Country
! Result Details
! Videos
! Discussion
! Reconstruction
|-
| rowspan="3" | 2x2x2
| avg5
| ???
|
|
|
|
|
|
|-
| avg12
| 1.75
| [[Bill Wang]]
| Canada
|
|
|
|
|-
| avg100
|2.07
| [[Christopher Olson]]
| Canada
|
|
|
|
|-
| rowspan="3" | 3x3x3
| avg5
| 6.62
| [[Feliks Zemdegs]]
| Australia
|
| [http://www.youtube.com/watch?feature=player_embedded&v=tLZHt7mo6aQ]
|
|
|-
| avg12
| 6.94
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| avg100
| 7.78
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| rowspan="3" | 3x3x3 One-handed
| avg5
| 11.44
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| avg12
| 12.36
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| avg100
| 13.80
| [[Michał Pleskowicz]]
| Poland
|
|
|
|
|-
| rowspan="3" | 4x4x4
| avg5
| 29.98
| [[Sebastian Weyer]]
| Germany
| (27.55) (33.62) 29.79 31.50 28.66 [http://www.speedsolving.com/forum/showthread.php?36416-video-Mats-Valk-Single-WR-26-77-average/page8]
|
|
|
|-
| avg12
| 34.xx
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| avg100
| ???
|
|
|
|
|
|
|-
| rowspan="3" | 5x5x5
| single
| 48.23
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| avg5
| 57.94
| [[Feliks Zemdegs]]
| Australia
| Official WR
| [http://www.youtube.com/watch?v=-s2Rc-OCcgo]
|
|
|-
| avg12
| 1:01.xx
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| rowspan="3" | 6x6x6
| single
| 1:43.40
| [[Kevin Hays]]
| USA
|
| [http://www.youtube.com/watch?v=2wGYkrFn4f0]
|
|
|-
| avg5
| 1:55.37
| [[Kevin Hays]]
| USA
|
| [http://www.youtube.com/watch?v=2wGYkrFn4f0]
|
|
|-
| avg12
| 1:59.38
| [[Kevin Hays]]
| USA
|
| [http://www.youtube.com/watch?v=2wGYkrFn4f0]
|
|
|-
| rowspan="3" | 7x7x7
| single
| 2:56.46
| [[Lin Chen]]
| China
|
| [http://www.speedsolving.com/forum/showthread.php?35974-7x7-single-2-56.46-and-3-04.88-by-Lin-Chen-(UWR)]
|
|
|-
| avg5
| 3:11.53
| [[Michał Halczuk]]
| Poland
|
|
|
|
|-
| avg12
| 3:13.93
| [[Michał Halczuk]]
| Poland
|
|
|
|
|}

== Official BLD events ==
{| class="wikitable"
|-
! Event
! Format
! Result
! Name
! Country
! Result Details
! Videos
! Discussion
! Reconstruction
|-
| rowspan="2" | 3x3x3 BLD
| single
| 19.69
| [[Haiyan Zhuang]]
| China
|
|
|
|
|-
| avg5
| 28.25
| [[Marcell Endrey]]
| Hungary
|
| [http://www.youtube.com/watch?v=Oxp0jrLq4_E]
|
|
|-
| rowspan="2" | 4x4x4 BLD
| single
| 2:27.50
| [[Ville Seppänen]]
| Finland
|
|
|
|
|-
| avg5
| 3:10.67
| [[Bill Wang]]
| Canada
|
|
|
|
|-
| rowspan="2" | 5x5x5 BLD
| single
| 6:00.49
| [[Marcell Endrey]]
| Hungary
|
|
|
|
|-
| avg5
|
|
|
|
|
|
|
|-
| Multi BLD
| single
| 27/27 (47:51)
| [[Marcin Kowalczyk]]
| Poland
|
| [http://www.youtube.com/watch?feature=player_embedded&v=vtqjtxJf4F4]
|
|
|}

== Official other twisty events ==
{| class="wikitable"
|-
! Event
! Format
! Result
! Name
! Country
! Result Details
! Videos
! Discussion
! Reconstruction
|-
| rowspan="3" | Pyraminx
| avg5
| 2.07
| [[Oscar Roth Andersen]]
| Denmark
|
|
|
|
|-
| avg12
| 2.49
| [[Oscar Roth Andersen]]
| Denmark
|
|
|
|
|-
| avg100
| 3.00
| [[Oscar Roth Andersen]]
| Denmark
|
|
|
|
|-
| rowspan="3" | Megaminx
| single
| 37.19
| [[Simon Westlund]]
| Sweden
|
|
|
|
|-
| avg5
| 45.51
| [[Simon Westlund]]
| Sweden
|
|
|
|
|-
| avg12
| 46.26
| [[Simon Westlund]]
| Sweden
|
|
|
|
|-
| rowspan="3" | Square-1
| avg5
|8.52
| [[Simon Crawford]]
| United Kingdom
|
|
|
|
|-
| avg12
| 10.19
| [[Simon Crawford]]
| United Kingdom
|
|
| [http://www.speedsolving.com/forum/showthread.php?1688-Accomplishment-Thread&p=751754#post751754]
|
|-
| avg100
| 11.76
| [[Simon Crawford]]
| United Kingdom
|
|
|
|
|}

== Official non-twisty events ==
{| class="wikitable"
|-
! Event
! Format
! Result
! Name
! Country
! Result Details
! Videos
! Discussion
! Reconstruction
|-
| rowspan="3" | Magic
| avg5
|
|
|
|
|
|
|
|-
| avg12
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|-
| rowspan="3" | Master Magic
| avg5
| 1.64
| [[Ernie Pulchny]]
| USA
|
|
|
|
|-
| avg12
| 1.80
| [[Ernie Pulchny]]
| USA
|
|
|
|
|-
| avg100
|
|
|
|
|
|
|
|-
| rowspan="3" | Clock
| avg5
| 5.60
| [[Pierre Bouvier]]
| France
|
|
|
|
|-
| avg12
| 6.06
| [[Sam Zhixiao Wang]] (王志骁)
| China
|
|
|
|
|-
| avg100
| 6.78
| [[Pierre Bouvier]]
| France
|
|
|
|
|}

== Unofficial events ==
{| class="wikitable"
|-
! Event
! Format
! Result
! Name
! Country
! Result Details
! Videos
! Discussion
! Reconstruction
|-
| rowspan="3" | Skewb
| avg5
| 4.30
| Kristopher de Asis
| Canada
|
|
|
|
|-
| avg12
| 5.62
| [[Oscar Roth Andersen]]
| Denmark
| someone, please get some super easy scrambles and beat this, thanks! :D
|
|
|
|-
| avg100
| 7.59
| [[Oscar Roth Andersen]]
| Denmark
| Meep, Sarah? I know at least one of you must've beaten this!
|
|
|
|-
| 3x3 SpeedBLD
| single
| 9.18
| [[Alexander Lau]]
| United Kingdom
| I'll create a page for myself, then the link will work :P
| [http://www.youtube.com/watch?v=huyHb4BaHWw]
|
|
|-
| rowspan="3" | 3x3 Team BLD
| single
| 11.96
| Julian David & Bill Wang
| Canada
|
|
| [http://www.speedsolving.com/forum/showthread.php?1688-Accomplishment-Thread&p=667882#post667882]
| [http://alg.garron.us/?alg=z_y2_U_L2_D-_R-_U2%0A(R_U_R-_U-)3%0AL-_U-_L%0AU_y_R-_U_R%0AU_R_U_R-_U-_R_U_R-%0AU_f_R_U_R-_U-_f-%0AU-_R_U_R-_U-_R-_F_R2_U-_R-_U-_R_U_R-_F-_U2&ini=F_B-_L2_U-_F2_R_U-_R2_D_R_L-_D_U-_F_U_B-_D-_F-_L2_F-_B-_D2_F-_U_F2]
|-
| avg5
| 14.37
| Julian David & Bill Wang
| Canada
|
|
| [http://www.speedsolving.com/forum/showthread.php?1688-Accomplishment-Thread&p=668545#post668545]
|
|-
| avg12
| 15.33
| Julian David & Bill Wang
| Canada
|
|
| [http://www.speedsolving.com/forum/showthread.php?1688-Accomplishment-Thread&p=668545#post668545]
|
|-
| rowspan="3" | 3x3x2
| avg5
| 10.24
| [[Erik Akkersdijk]]
| Netherlands
|
| [http://www.youtube.com/watch?v=42Nynw1LL_M]
| [http://www.speedsolving.com/forum/showthread.php?19788-Erik-3x3x2-avg-5-10.24-with-review-and-small-tut]
|
|-
| avg12
|
|
|
|
|
|
|
|-
| avg100
|
|
|
|
|
|
|
|-
| rowspan="1" | 2x2 + 3x3 + 3x3 + 4x4 SpeedBLD relay
| Single
| 3:29.78
| Bryan Rusinque
| Uruguay
|
| [http://www.youtube.com/watch?v=UhABt4Qd-sA]
| [http://www.speedsolving.com/forum/showthread.php?34233-2x2-4x4-SpeedBLD-Relay-(UWR-)&p=687834#post687834]
|
|-
| rowspan="2" | Gigaminx
| Single
|
|
|
|
|
|
|
|-
| Mo3/Ao5
|
|
|
|
|
|
|
|-
|-
| rowspan="2" | Starminx I (Face turning)
| Single
| 20:24.35
| [[Chris Wall]]
| United Kingdom
|
|
|
|
|-
| Mo3/Ao5
|
|
|
|
|
|
|
|-
|}

[[Category:Lists|UWR]]

Africa

2012-06-18T22:36:26Z

Jacob P: Undo Macky edit : http://www.speedsolving.com/wiki/index.php?title=User_talk:Jacob_P&redirect=no

'''Africa''' is a continent. As of May 2012, no [[WCA]] competition has been held in Africa, making it the only remaining such continent; the second to last continent was [[Oceania]], which held its first competition in July 2009. All African continental and national records have been set by African nationals competing outside Africa.

[[WCA]] recognizes the following countries in Africa.

== Countries in Africa ==
* [[Algeria]]
* [[Angola]]
* [[Benin]]
* [[Botswana]]
* [[Burkina Faso]]
* [[Cameroon]]
* [[Central African Republic]]
* [[Chad]]
* [[Comoros]]
* [[Congo]]
* [[Cote d'Ivoire]]
* [[Djibouti]]
* [[Egypt]]
* [[Equatorial Guinea]]
* [[Eritrea]]
* [[Ethiopia]]
* [[Gabon]]
* [[Gambia]]
* [[Ghana]]
* [[Ginea]]
* [[Guinea]]
* [[Kenya]]
* [[Lesotho]]
* [[Liberia]]
* [[Libya]]
* [[Madagascar]]
* [[Malawi]]
* [[Mali]]
* [[Mauritania]]
* [[Mauritius]]
* [[Mayotte]]
* [[Morocco]]
* [[Mozambique]]
* [[Namibia]]
* [[Niger]]
* [[Nigeria]]
* [[Republic Of The Congo]]
* [[Sao Tome and Principe]]
* [[Senegal]]
* [[Sierra Leone]]
* [[Somalia]]
* [[South Africa]]
* [[South Sudan]]
* [[Sudan]]
* [[Swaziland]]
* [[Tanzania]]
* [[Togo]]
* [[Tunisia]]
* [[Uganda]]
* [[Zambia]]
* [[Zimbabwe]]

== External Links ==
* [http://worldcubeassociation.org/results/misc/export.html WCA results export]

[[Category:Continents]]

User talk:Macky

2012-06-18T16:02:45Z

Jacob P:

[[:Category:People]]

Starting to look good, nice work =)
// [[User:Kenneth|Kenneth]] 03:23, 13 January 2011 (EST)

[[Shotaro Makisumi]], do that one too, it's nothing wrong with that =)

BTW: I sent a PM to PJK 2-3 days ago and asked if it is ok if I raise your status to admin but he has not replied, seems to be away. Would you like that? You make many edits here and I guess sometimes you would like to delete things the did not work well, admins can do that, among other things...

// [[User:Kenneth|Kenneth]] 04:32, 18 January 2011 (EST)

:Yeah, I think I'll have to make my article. For now I'm going to try to make a bunch of other articles respectable. Yes, admin status would be nice! [[User:Macky|Macky]] 17:03, 20 January 2011 (EST)

::Hmm, still no reply from PJK, dunno if he just missed it or something :/
::I tried to change your status and it looks like it worked when I view it but when I list the administraitors your name is not in the list. I have t o look around some more I guess and if I can't sort it out I wait for PJK, and then ask him how. // [[User:Kenneth|Kenneth]] 01:15, 22 January 2011 (EST)

:: Edit : Got it to work now :D

BTW, as you can see I moved your reply to here. This way it is much easier to follow the discussion. It works like that, If I wanna talk to you, I write to your talk page, you reply to your talk page, you want to talk to me, you write to my talk page and I reply to my talk page =)

Hey macky, do you think we should use one standard of spelling? What I mean is things like colour/color. If so, which one should we use? --[[User:Erzz|Erzz]] 16:33, 18 June 2011 (EDT)
: Yeah, I'm doing American for everything. Of course, any UK/US difference will be negligible compared to grammar errors etc for now, so I wouldn't bother going back through Conrad's edits for example. The focus should be writing for now. [[User:Macky|Macky]] 16:41, 18 June 2011 (EDT)

Macky: According to the WCA regs, it recognizes all countries listed here: [http://en.wikipedia.org/wiki/List_of_countries]. South Sudan is listed, which is why I added it. I didn't realize that the WCA didn't recognize that, which is odd (the regs say it does)
--[[User:Jacob P|Jacob P]] ([[User talk:Jacob P|talk]]) 12:02, 18 June 2012 (EDT)

Africa

2012-06-15T03:22:18Z

Jacob P: Added South Sudan

List of Unofficial World Records

2012-05-28T00:46:57Z

Jacob P:

List of unofficial word records. Note that these are decided by general consensus, and are not in any way officially sanctioned. An older and less up-to-date unofficial world record list can be found at speedcubing.com.

For official records, see [[List of World Records]].

== Official NxNxN events ==
{| class="wikitable"
|-
! Event
! Format
! Result
! Name
! Country
! Result Details
! Videos
! Discussion
! Reconstruction
|-
| rowspan="3" | 2x2x2
| avg5
| ???
|
|
|
|
|
|
|-
| avg12
| 1.75
| [[Bill Wang]]
| Canada
|
|
|
|
|-
| avg100
|2.07
| [[Christopher Olson]]
| Canada
|
|
|
|
|-
| rowspan="3" | 3x3x3
| avg5
| 6.69
| [[Rowan Kinneavy]]
| United Kingdom
| http://tinyurl.com/cpfnfxw
|
|
|
|-
| avg12
| 6.94
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| avg100
| 7.78
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| rowspan="3" | 3x3x3 One-handed
| avg5
| 11.44
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| avg12
| 12.36
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| avg100
| 13.80
| [[Michał Pleskowicz]]
| Poland
|
|
|
|
|-
| rowspan="3" | 4x4x4
| avg5
| 32.89
| [[Sebastian Weyer]]
| Germany
|
|
|
|
|-
| avg12
| 34.xx
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| avg100
| ???
|
|
|
|
|
|
|-
| rowspan="3" | 5x5x5
| single
| 48.23
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| avg5
| 57.94
| [[Feliks Zemdegs]]
| Australia
| Official WR
|
|
|
|-
| avg12
| 1:01.xx
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| rowspan="3" | 6x6x6
| single
| 1:43.40
| [[Kevin Hays]]
| USA
|
|
|
|
|-
| avg5
| 1:55.37
| [[Kevin Hays]]
| USA
|
|
|
|
|-
| avg12
| 1:59.38
| [[Kevin Hays]]
| USA
|
|
|
|
|-
| rowspan="3" | 7x7x7
| single
| 3:03.71
| [[Michał Halczuk]]
| Poland
|
|
|
|
|-
| avg5
| 3:11.53
| [[Michał Halczuk]]
| Poland
|
|
|
|
|-
| avg12
| 3:13.93
| [[Michał Halczuk]]
| Poland
|
|
|
|
|}

== Official BLD events ==
{| class="wikitable"
|-
! Event
! Format
! Result
! Name
! Country
! Result Details
! Videos
! Discussion
! Reconstruction
|-
| rowspan="2" | 3x3x3 BLD
| single
| 19.69
| [[Haiyan Zhuang]]
| China
|
|
|
|
|-
| avg5
| 28.25
| [[Marcell Endrey]]
| Hungary
|
| [http://www.youtube.com/watch?v=Oxp0jrLq4_E]
|
|
|-
| rowspan="2" | 4x4x4 BLD
| single
| 2:27.50
| [[Ville Seppänen]]
| Finland
|
|
|
|
|-
| avg5
| 3:10.67
| [[Bill Wang]]
| Canada
|
|
|
|
|-
| rowspan="2" | 5x5x5 BLD
| single
| 6:00.49
| [[Marcell Endrey]]
| Hungary
|
|
|
|
|-
| avg5
|
|
|
|
|
|
|
|-
| Multi BLD
| single
| 25/25 (53:03)
| [[Marcin Kowalczyk]]
| Poland
|
| [http://www.youtube.com/watch?v=HMofD-SZqkM]
|
|
|}

== Official other twisty events ==
{| class="wikitable"
|-
! Event
! Format
! Result
! Name
! Country
! Result Details
! Videos
! Discussion
! Reconstruction
|-
| rowspan="3" | Pyraminx
| avg5
| 2.07
| [[Oscar Roth Andersen]]
| Denmark
|
|
|
|
|-
| avg12
| 2.49
| [[Oscar Roth Andersen]]
| Denmark
|
|
|
|
|-
| avg100
| 3.00
| [[Oscar Roth Andersen]]
| Denmark
|
|
|
|
|-
| rowspan="3" | Megaminx
| single
| 37.19
| [[Simon Westlund]]
| Sweden
|
|
|
|
|-
| avg5
| 45.51
| [[Simon Westlund]]
| Sweden
|
|
|
|
|-
| avg12
| 46.26
| [[Simon Westlund]]
| Sweden
|
|
|
|
|-
| rowspan="3" | Square-1
| avg5
|8.52
| [[Simon Crawford]]
| United Kingdom
|
|
|
|
|-
| avg12
| 10.21
| [[Simon Crawford]]
| United Kingdom
|
|
|
|
|-
| avg100
| 11.76
| [[Simon Crawford]]
| United Kingdom
|
|
|
|
|}

== Official non-twisty events ==
{| class="wikitable"
|-
! Event
! Format
! Result
! Name
! Country
! Result Details
! Videos
! Discussion
! Reconstruction
|-
| rowspan="3" | Magic
| avg5
| 0.65
| Jacob Pratt
| USA
| 0.64, 0.67, (0.68), 0.65, (0.62)
|
|
|
|-
| avg12
| 0.67
| Jacob Pratt
| USA
| 0.65, 0.72, 0.66, (DNF), 0.69, 0.69, 0.67, 0.64, 0.67, 0.68, 0.65, (0.62)
|
|
|
|-
| avg100
| 0.72
| Jacob Pratt
| USA
|
|
|
|
|-
| rowspan="3" | Master Magic
| avg5
| 1.64
| [[Ernie Pulchny]]
| USA
|
|
|
|
|-
| avg12
| 1.80
| [[Ernie Pulchny]]
| USA
|
|
|
|
|-
| avg100
|
|
|
|
|
|
|
|-
| rowspan="3" | Clock
| avg5
| 5.69
| [[Sam Zhixiao Wang]] (王志骁)
| China
|
|
|
|
|-
| avg12
| 6.06
| [[Sam Zhixiao Wang]] (王志骁)
| China
|
|
|
|
|-
| avg100
| 6.94
| [[Pierre Bouvier]]
| France
|
|
|
|
|}

== Unofficial events ==
{| class="wikitable"
|-
! Event
! Format
! Result
! Name
! Country
! Result Details
! Videos
! Discussion
! Reconstruction
|-
| rowspan="3" | Skewb
| avg5
| 4.30
| Kristopher de Asis
| Canada
|
|
|
|
|-
| avg12
| 5.62
| [[Oscar Roth Andersen]]
| Denmark
| someone, please get some super easy scrambles and beat this, thanks! :D
|
|
|
|-
| avg100
| 7.59
| [[Oscar Roth Andersen]]
| Denmark
| Meep, Sarah? I know at least one of you must've beaten this!
|
|
|
|-
| 3x3 SpeedBLD
| single
| 9.18
| [[Alexander Lau]]
| United Kingdom
| I'll create a page for myself, then the link will work :P
| [http://www.youtube.com/watch?v=huyHb4BaHWw]
|
|
|-
| rowspan="3" | 3x3 Team BLD
| single
| 11.96
| Julian David & Bill Wang
| Canada
|
|
| [http://www.speedsolving.com/forum/showthread.php?1688-Accomplishment-Thread&p=667882#post667882]
| [http://alg.garron.us/?alg=z_y2_U_L2_D-_R-_U2%0A(R_U_R-_U-)3%0AL-_U-_L%0AU_y_R-_U_R%0AU_R_U_R-_U-_R_U_R-%0AU_f_R_U_R-_U-_f-%0AU-_R_U_R-_U-_R-_F_R2_U-_R-_U-_R_U_R-_F-_U2&ini=F_B-_L2_U-_F2_R_U-_R2_D_R_L-_D_U-_F_U_B-_D-_F-_L2_F-_B-_D2_F-_U_F2]
|-
| avg5
| 14.37
| Julian David & Bill Wang
| Canada
|
|
| [http://www.speedsolving.com/forum/showthread.php?1688-Accomplishment-Thread&p=668545#post668545]
|
|-
| avg12
| 15.33
| Julian David & Bill Wang
| Canada
|
|
| [http://www.speedsolving.com/forum/showthread.php?1688-Accomplishment-Thread&p=668545#post668545]
|
|-
| rowspan="3" | 3x3x2
| avg5
| 10.24
| [[Erik Akkersdijk]]
| Netherlands
|
| [http://www.youtube.com/watch?v=42Nynw1LL_M]
| [http://www.speedsolving.com/forum/showthread.php?19788-Erik-3x3x2-avg-5-10.24-with-review-and-small-tut]
|
|-
| avg12
|
|
|
|
|
|
|
|-
| avg100
|
|
|
|
|
|
|
|-
| rowspan="1" | 2x2 + 3x3 + 3x3 + 4x4 SpeedBLD relay
| Single
| 3:29.78
| Bryan Rusinque
| Uruguay
|
| [http://www.youtube.com/watch?v=UhABt4Qd-sA]
| [http://www.speedsolving.com/forum/showthread.php?34233-2x2-4x4-SpeedBLD-Relay-(UWR-)&p=687834#post687834]
|
|-
| rowspan="2" | Gigaminx
| Single
|
|
|
|
|
|
|
|-
| Mo3/Ao5
|
|
|
|
|
|
|
|-
|-
| rowspan="2" | Starminx I (Face turning)
| Single
| 20:24.35
| [[Chris Wall]]
| United Kingdom
|
|
|
|
|-
| Mo3/Ao5
|
|
|
|
|
|
|
|-
|}

[[Category:Lists|UWR]]

List of Unofficial World Records

2012-05-28T00:45:55Z

Jacob P: Added Magic UWRs

List of unofficial word records. Note that these are decided by general consensus, and are not in any way officially sanctioned. An older and less up-to-date unofficial world record list can be found at speedcubing.com.

For official records, see [[List of World Records]].

== Official NxNxN events ==
{| class="wikitable"
|-
! Event
! Format
! Result
! Name
! Country
! Result Details
! Videos
! Discussion
! Reconstruction
|-
| rowspan="3" | 2x2x2
| avg5
| ???
|
|
|
|
|
|
|-
| avg12
| 1.75
| [[Bill Wang]]
| Canada
|
|
|
|
|-
| avg100
|2.07
| [[Christopher Olson]]
| Canada
|
|
|
|
|-
| rowspan="3" | 3x3x3
| avg5
| 6.69
| [[Rowan Kinneavy]]
| United Kingdom
| http://tinyurl.com/cpfnfxw
|
|
|
|-
| avg12
| 6.94
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| avg100
| 7.78
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| rowspan="3" | 3x3x3 One-handed
| avg5
| 11.44
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| avg12
| 12.36
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| avg100
| 13.80
| [[Michał Pleskowicz]]
| Poland
|
|
|
|
|-
| rowspan="3" | 4x4x4
| avg5
| 32.89
| [[Sebastian Weyer]]
| Germany
|
|
|
|
|-
| avg12
| 34.xx
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| avg100
| ???
|
|
|
|
|
|
|-
| rowspan="3" | 5x5x5
| single
| 48.23
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| avg5
| 57.94
| [[Feliks Zemdegs]]
| Australia
| Official WR
|
|
|
|-
| avg12
| 1:01.xx
| [[Feliks Zemdegs]]
| Australia
|
|
|
|
|-
| rowspan="3" | 6x6x6
| single
| 1:43.40
| [[Kevin Hays]]
| USA
|
|
|
|
|-
| avg5
| 1:55.37
| [[Kevin Hays]]
| USA
|
|
|
|
|-
| avg12
| 1:59.38
| [[Kevin Hays]]
| USA
|
|
|
|
|-
| rowspan="3" | 7x7x7
| single
| 3:03.71
| [[Michał Halczuk]]
| Poland
|
|
|
|
|-
| avg5
| 3:11.53
| [[Michał Halczuk]]
| Poland
|
|
|
|
|-
| avg12
| 3:13.93
| [[Michał Halczuk]]
| Poland
|
|
|
|
|}

== Official BLD events ==
{| class="wikitable"
|-
! Event
! Format
! Result
! Name
! Country
! Result Details
! Videos
! Discussion
! Reconstruction
|-
| rowspan="2" | 3x3x3 BLD
| single
| 19.69
| [[Haiyan Zhuang]]
| China
|
|
|
|
|-
| avg5
| 28.25
| [[Marcell Endrey]]
| Hungary
|
| [http://www.youtube.com/watch?v=Oxp0jrLq4_E]
|
|
|-
| rowspan="2" | 4x4x4 BLD
| single
| 2:27.50
| [[Ville Seppänen]]
| Finland
|
|
|
|
|-
| avg5
| 3:10.67
| [[Bill Wang]]
| Canada
|
|
|
|
|-
| rowspan="2" | 5x5x5 BLD
| single
| 6:00.49
| [[Marcell Endrey]]
| Hungary
|
|
|
|
|-
| avg5
|
|
|
|
|
|
|
|-
| Multi BLD
| single
| 25/25 (53:03)
| [[Marcin Kowalczyk]]
| Poland
|
| [http://www.youtube.com/watch?v=HMofD-SZqkM]
|
|
|}

== Official other twisty events ==
{| class="wikitable"
|-
! Event
! Format
! Result
! Name
! Country
! Result Details
! Videos
! Discussion
! Reconstruction
|-
| rowspan="3" | Pyraminx
| avg5
| 2.07
| [[Oscar Roth Andersen]]
| Denmark
|
|
|
|
|-
| avg12
| 2.49
| [[Oscar Roth Andersen]]
| Denmark
|
|
|
|
|-
| avg100
| 3.00
| [[Oscar Roth Andersen]]
| Denmark
|
|
|
|
|-
| rowspan="3" | Megaminx
| single
| 37.19
| [[Simon Westlund]]
| Sweden
|
|
|
|
|-
| avg5
| 45.51
| [[Simon Westlund]]
| Sweden
|
|
|
|
|-
| avg12
| 46.26
| [[Simon Westlund]]
| Sweden
|
|
|
|
|-
| rowspan="3" | Square-1
| avg5
|8.52
| [[Simon Crawford]]
| United Kingdom
|
|
|
|
|-
| avg12
| 10.21
| [[Simon Crawford]]
| United Kingdom
|
|
|
|
|-
| avg100
| 11.76
| [[Simon Crawford]]
| United Kingdom
|
|
|
|
|}

== Official non-twisty events ==
{| class="wikitable"
|-
! Event
! Format
! Result
! Name
! Country
! Result Details
! Videos
! Discussion
! Reconstruction
|-
| rowspan="3" | Magic
| avg5
| 0.65
| Jacob Pratt
| USA
| 0.64, 0.67, (0.68), 0.65, (0.62)
|
|
|
|-
| avg12
| 0.67
| Jacob Pratt
| USA
| 0.65, 0.72, 0.66, (DNF), 0.69, 0.69, 0.67, 0.64, 0.67, 0.68, 0.65, (0.62)
|
|
|
|-
| avg100
| Jacob Pratt
| USA
| 0.72
|
|
|
|
|-
| rowspan="3" | Master Magic
| avg5
| 1.64
| [[Ernie Pulchny]]
| USA
|
|
|
|
|-
| avg12
| 1.80
| [[Ernie Pulchny]]
| USA
|
|
|
|
|-
| avg100
|
|
|
|
|
|
|
|-
| rowspan="3" | Clock
| avg5
| 5.69
| [[Sam Zhixiao Wang]] (王志骁)
| China
|
|
|
|
|-
| avg12
| 6.06
| [[Sam Zhixiao Wang]] (王志骁)
| China
|
|
|
|
|-
| avg100
| 6.94
| [[Pierre Bouvier]]
| France
|
|
|
|
|}

== Unofficial events ==
{| class="wikitable"
|-
! Event
! Format
! Result
! Name
! Country
! Result Details
! Videos
! Discussion
! Reconstruction
|-
| rowspan="3" | Skewb
| avg5
| 4.30
| Kristopher de Asis
| Canada
|
|
|
|
|-
| avg12
| 5.62
| [[Oscar Roth Andersen]]
| Denmark
| someone, please get some super easy scrambles and beat this, thanks! :D
|
|
|
|-
| avg100
| 7.59
| [[Oscar Roth Andersen]]
| Denmark
| Meep, Sarah? I know at least one of you must've beaten this!
|
|
|
|-
| 3x3 SpeedBLD
| single
| 9.18
| [[Alexander Lau]]
| United Kingdom
| I'll create a page for myself, then the link will work :P
| [http://www.youtube.com/watch?v=huyHb4BaHWw]
|
|
|-
| rowspan="3" | 3x3 Team BLD
| single
| 11.96
| Julian David & Bill Wang
| Canada
|
|
| [http://www.speedsolving.com/forum/showthread.php?1688-Accomplishment-Thread&p=667882#post667882]
| [http://alg.garron.us/?alg=z_y2_U_L2_D-_R-_U2%0A(R_U_R-_U-)3%0AL-_U-_L%0AU_y_R-_U_R%0AU_R_U_R-_U-_R_U_R-%0AU_f_R_U_R-_U-_f-%0AU-_R_U_R-_U-_R-_F_R2_U-_R-_U-_R_U_R-_F-_U2&ini=F_B-_L2_U-_F2_R_U-_R2_D_R_L-_D_U-_F_U_B-_D-_F-_L2_F-_B-_D2_F-_U_F2]
|-
| avg5
| 14.37
| Julian David & Bill Wang
| Canada
|
|
| [http://www.speedsolving.com/forum/showthread.php?1688-Accomplishment-Thread&p=668545#post668545]
|
|-
| avg12
| 15.33
| Julian David & Bill Wang
| Canada
|
|
| [http://www.speedsolving.com/forum/showthread.php?1688-Accomplishment-Thread&p=668545#post668545]
|
|-
| rowspan="3" | 3x3x2
| avg5
| 10.24
| [[Erik Akkersdijk]]
| Netherlands
|
| [http://www.youtube.com/watch?v=42Nynw1LL_M]
| [http://www.speedsolving.com/forum/showthread.php?19788-Erik-3x3x2-avg-5-10.24-with-review-and-small-tut]
|
|-
| avg12
|
|
|
|
|
|
|
|-
| avg100
|
|
|
|
|
|
|
|-
| rowspan="1" | 2x2 + 3x3 + 3x3 + 4x4 SpeedBLD relay
| Single
| 3:29.78
| Bryan Rusinque
| Uruguay
|
| [http://www.youtube.com/watch?v=UhABt4Qd-sA]
| [http://www.speedsolving.com/forum/showthread.php?34233-2x2-4x4-SpeedBLD-Relay-(UWR-)&p=687834#post687834]
|
|-
| rowspan="2" | Gigaminx
| Single
|
|
|
|
|
|
|
|-
| Mo3/Ao5
|
|
|
|
|
|
|
|-
|-
| rowspan="2" | Starminx I (Face turning)
| Single
| 20:24.35
| [[Chris Wall]]
| United Kingdom
|
|
|
|
|-
| Mo3/Ao5
|
|
|
|
|
|
|
|-
|}

[[Category:Lists|UWR]]