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PLL

2011-09-13T03:17:27Z

Jokerman5656: /* F Permutation */

{{Method Infobox
|name=PLL
|image=PLLinfo.jpg
|proposers=
|year=
|anames=
|variants=
|steps=1
|algs=21
|moves=12.3 [[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 PLL Patterns and Algs] (Recognize PLLs by patterns. Printable and customizable Excel sheet 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]

=PLL algorithms=
{{Algnote}}
==Permutations of Edges Only==
This subgroup, [[EPLL]] is used as a [[sub step]] 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 (y') R' U' R U (y x) R U R' U' R2 (x') U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2 (x') U|PLL}}
{{Alg|(y z) R U R' U' R U2 (z' y') R U R' U' (y x) L' U' L U L2 (x')|PLL}}
{{Alg|R' U2 R' U2 L U' R' U' R' U R U2 L' U2 R U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2 (x') U|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) (x')|PLL}}
{{Alg|(y) F (x) R2 F R2 U' R' U l' U2 L F' L' U (x') R2 U' (x')|PLL}}
{{Alg|(y) R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U' (x')|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|PLL}}
{{Alg|(y) F U' r U r' U r' F' r2 U' r' U' F' U2 F'|PLL}}

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

===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|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' U2|PLL}}
{{Alg|(y2) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

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

===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) (R U R' F2) D' (L U' L' U L') u L2|PLL}}
{{Alg|U2 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 U2|PLL}}
{{Alg|(y) L U' R U2 L' U R' (y') L' R' U2 L R U2|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|(y2) d' L U2 L' U' L U L' U' L U R' U2 R U R' U R U' R' U L' U' R|PLL}}

===J Permutation : a===
{{case
|image=j1.gif
|name=J-PLL a
|methods=[[PLL]], [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2 x) U2 r' U' r U2 l' U R' U' l2|PLL}}
{{Alg|U' L' U R' (z) R2 U R' U' R2 U D (z')|PLL}}
{{Alg|(y2) R' U2 R U R' (z) R2' U R' D R U' (z')|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|R' L' d2 R U R' d2 R U' L U|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2 U'|PLL}}
{{Alg|(y) R2 (U' D) R2' U' R2 U R2' D' R2 U R2' U'|PLL}}
{{Alg|(y') L' U R' U2 L U' L' U2 R L U'|PLL}}
{{Alg|(z) D R' U' R D' R (R U R' U') R2 U|PLL}}
{{Alg|R' U2' R U R' z R2 U R' D R U'|PLL}}

===J Permutation : b===
{{case
|image=j.gif
|name=J-PLL b
|methods=[[PLL]], [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|PLL}}
{{Alg|(y') L U' R U2 L' U L U2 (R' L') U|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|(y2) R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(y') L U' r U2 l' U R' U' l2 F2 L2|PLL}}
{{Alg|(y2) r2 U' L' U r' U2 R B' R' U2 (x')|PLL}}
{{Alg|(y2) F2 R U R' F2 L D' L D L2|PLL}}
{{Alg|(y2) F2 R U R' b2 R U' R U l2'|PLL}}
{{Alg|(y) R U' L U2 R' U R U2 L' R'|PLL}}

===N Permutation : a===
{{case
|image=n1.gif
|name=N-PLL a
|methods=[[PLL]], [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(z) D R' U R2 D' R (U' D) R' U R2 D' R U' R' (z')|PLL}}
{{Alg|(z) U R' D R2 U' R (D' U) R' D R2 U' R D' R' (z')|PLL}}
{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R U'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' (y2)|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|R U R' U (R U R' F' R U R' U' R' F R2 U' R') U2 R U' R'|PLL}}
{{Alg|L U L' (y') (R U R' F' R U R' U' R' F R2 U' R') (y') U' R U' R'|PLL}}
{{Alg|(z) U R' U' R U F R F' U' R' U F' U F U' R U' (z')|PLL}}
{{Alg|(y z) R' U R' D R2 U' R (U D') R' D R2 U' R D' (z')|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|(z) U2 R2 U' R2 (y') R2 U2 R2 U R2 (y) R2 U2 R2 d R2 (x' y)|PLL}}

===N Permutation : b===
{{case
|image=n.gif
|name=N-PLL b
|methods=[[PLL]], [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(z) U' R D' R2' U R' (U' D) R D' R2 U R' D R (z')|PLL}}
{{Alg|(z) U' R D' R2 U R' U' (z') R U R' (z) R2 U R' (z') R U|PLL}}
{{Alg|(z) (D' R U' R2' D R' U)2 R (z')|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R' U|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L U|PLL}}
{{Alg|L' U R' U2' L U' (R L') U R' U2' L U' R U|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|R2 F2 U2 F2 U F2 R2 U2 R2 U F2 U2 R2 U|PLL}}
{{Alg|(R' U' R U') (L U' R' U) L' U2 (R U' R' U2) R (U R' U R)|PLL}}

===R Permutation : a===
{{case
|image=r1.gif
|name=R-PLL a
|methods=[[PLL]], [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(y') R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F (x)|PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 R (z')|PLL}}
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R' U'|PLL}}
{{Alg|(y2) R' U' R U2 R U2 L' R2 U R U' R L U2 R' U2|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|(y') R U' R' U' R U R D R' U' R D' R' U2 R' U'|PLL}}
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R' U'|PLL}}
{{Alg|(y2) U' L2 F' L' U' L' U L F L' U2 L U2 L'|PLL}}
{{Alg|(y x') R' U' F' U R' U' (x) U R' U' R' U R B R2|PLL}}

===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'|PLL}}
{{Alg|(y) R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' (y') R' F R B' R' F' R (z x') R' U R' (x z')|PLL}}
{{Alg|(y2) R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R U|PLL}}
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L U|PLL}}
{{Alg|U R2 F R U R U' R' F' R U2 R' U2 R|PLL}}

===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'|PLL}}
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|(y2) B L U' L' U L U L2 B' L U L U' L'|PLL}}
{{Alg|(y2) L2 U' L2 D F2 R2 U R2 D' F2 U|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2 U|PLL}}
{{Alg|R2' u' R2 U R2' (y) R2 u R2' U' R2 U|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(y2 z) U2 r' U2 r U2 (x) U2 r U2 r' U2 R (z')|PLL}}
{{Alg|R U R' U' R2 D R' U' R' U' R U (z') U2 R' U (z)|PLL}}
{{Alg|R2 U R2 U' R2 F2 U' F2 D R2 D'|PLL}}

===V Permutation===
{{case
|image=V.gif
|name=V-PLL
|methods=[[PLL]], [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U R' U' (y x) R' F R' F' R2 U' R' U R U (x')|PLL}}
{{Alg|R' U R' U' (y x) R' U' R2 B' R' B R' U R U (x')|PLL}}
{{Alg|R' U R' U' (y x) R' U' R2 (x') U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' (x2 y') R' U R' U' l R U' R' U R U (x')|PLL}}
{{Alg|R' U R' U' (x' y) U' R U' R' U2 (y') R' U' R U R (x)|PLL}}
{{Alg|R' U R' U' (y) R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' (y) R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U L'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}
{{Alg|(y') R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|(y2) R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|(y) L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|PLL}}
{{Alg|(y z) U' R D R' U R U' R D' R' U R2 D R2 D' z'|PLL}}

===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'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL}}
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U F (x)|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' (y') U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|(y) F' L' U L U L' U' L F L' U' L U L F' L' F|PLL}}
{{Alg|(y z) U2 R U R' U' R (y) R U L' U L U R' U' (x)|PLL}}
{{Alg|(z') U2 L' U' L U L' (y') L' U' R U' R' U' L U (x)|PLL}}
{{Alg|(y2 z) U2 R' U2 R' U2 R B R B' U2 B R' B' (z')|PLL}}
{{Alg|R2 U' R' U R U' (z' y') L' U' R U' R' U' L U (y z)|PLL}}
{{Alg|F R U' R' F D R' (y x) R' U' R (z) R2 (y) L' d2 (z)|PLL}}

 {{PLL}}

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

__NOTOC__

OLL

2011-01-04T07:48:12Z

Jokerman5656: /* OLL 17 */

{{Method Infobox
|name=OLL
|image=OLLinfo.png
|proposers=
|year=
|anames=
|variants=
|steps=1
|algs=57
|moves=9.7 [[HTM]]
|purpose=
* [[Speedsolving]]
}}
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods, such as the [[Fridrich Method]], usally followed by [[PLL]].

== 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
|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}}

|

=== 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}}

|-valign="top"
|

=== OLL 3 ===
{{case
|image=o3.gif
|name=
|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=
|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
|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}}

|

=== 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=
|methods=[[OLL]]
|optimal=11 [[HTM]]
|text=
}}
{{Alg|y' r U R' U R U2 r2' U' R U' R' U2 r|OLL}}
{{Alg|y2 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|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=
|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' r R2' F R F'|OLL}}
{{Alg|M U R U R' U' M' l' U R U'|OLL}}

|}

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

=== OLL 31 ===
[[Image:o31.gif]]

{{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|y2 R' U' F U R U' R' F' R|OLL}}
{{Alg|L' U' B U L U' L' B' L|OLL}}

|

=== OLL 32 ===
[[Image:o32.gif]]

{{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 U B' U' R' U R B R'|OLL}}
{{Alg|y2 F U R U' F' r U R' U' r'|OLL}}

|-valign="top"
|

=== OLL 43 ===
[[Image:o43.gif]]

{{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|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 ===
[[Image:o44.gif]]

{{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 ===
[[Image:o36.gif]]

{{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 ===
[[Image:o38.gif]]

{{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 ===
[[Image:o48.gif]]

{{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 ===
[[Image:o47.gif]]

{{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}}

|-valign="top"
|

=== OLL 53 ===
[[Image:o53.gif]]

{{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 ===
[[Image:o54.gif]]

{{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}}

|-valign="top"
|

=== OLL 49 ===
[[Image:o49.gif]]

{{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 ===
[[Image:o50.gif]]

{{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|U' F' R U2 R' U2 R' F2 R F'|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 ===
[[Image:o34.gif]]

{{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' (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}}

|

=== OLL 46 ===
[[Image:o46.gif]]

{{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 ===
[[Image:o33.gif]]

{{Alg|R U R' U' R' F R F'|OLL}}
{{Alg|R' U' R U l U' R' U (x)|OLL}}

|

=== OLL 45 ===
[[Image:o45.gif]]

{{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 ===
[[Image:o55.gif]]

{{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 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}}
A 4x4x4 special: Note: Rra = (R + r) + (L + l) :: (y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'

|

=== OLL 56 ===
[[Image:o56.gif]]
{{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}}

|-valign="top"
|

=== OLL 51 ===
[[Image:o51.gif]]

{{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 ===
[[Image:o52.gif]]

{{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|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}}

|}

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

=== OLL 5 ===
[[Image:o5.gif]]

{{Alg|(r' U2) (R U R' U r)|OLL|vidurl=http://www.youtube.com/watch?v=beKUmNDs-Zo&feature=related}}
{{Alg|y2 l' U2 L U L' U l'|OLL}}

|

=== OLL 6 ===
[[Image:o6.gif]]

{{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 ===
[[Image:o39.gif]]

{{Alg|L F' L' U' L U F U' L'|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 ===
[[Image:o40.gif]]

{{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 ===
[[Image:o7.gif]]

{{Alg|r U R' U R U2 r'|OLL}}
{{Alg|F R' F' R U2 R U2 R'|OLL}}
{{Alg|L' U2 L U2 L F' L' F|OLL}}

|

=== OLL 8 ===
[[Image:o8.gif]]

{{Alg|l' U' L U' L' U2 l|OLL}}
{{Alg|y2 r' U' R U' R' U2 r|OLL}}
{{Alg|R U2 R' U2 R' F R F'|OLL}}

|-valign="top"
|

=== OLL 11 ===
[[Image:o11.gif]]

{{Alg|r' R2 U R' U R U2 R' U r R'|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 ===
[[Image:o12.gif]]

{{Alg|F R U R' U' F' y 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}}

|}

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

=== OLL 9 ===
[[Image:o9.gif]]

{{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}}

|

=== OLL 10 ===
[[Image:o10.gif]]

{{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 ===
[[Image:o35.gif]]

{{Alg|R U2 R2' F R F' R U2 R'|OLL}}
{{Alg|y' R' U2 (R l) U' R' U l' U2 R|OLL}}

|

=== OLL 37 ===
[[Image:o37.gif]]

{{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 F R' F' R U R U' R'|OLL}}
{{Alg|R B' R' B U B U' B'|OLL}}

|}

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

=== OLL 13 ===
[[Image:o13.gif]]

{{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}}

|

=== OLL 14 ===
[[Image:o14.gif]]

{{Alg|R' F R U R' F' R 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' R U' R' F' R U R' x y R' U R|OLL}}
{{Alg|y2 r' U r U r' U' r y R U' R'|OLL}}

|-valign="top"
|

=== OLL 15 ===
[[Image:o15.gif]]

{{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 ===
[[Image:o16.gif]]

{{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 ===
[[Image:o29.gif]]

{{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|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|M U (R U R' U') (R' F R F') M'|OLL}}
{{Alg|y2 r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}

|

=== OLL 30 ===
[[Image:o30.gif]]

{{Alg|y2 F R' F R2 U' R' U' R U R' F2|OLL}}
{{Alg|l U' R' U l' U2 R d L U L'|OLL}}
{{Alg|f R U R2 U' R' U R2 U' R' f'|OLL}}
{{Alg|y2 F U R U' x' U R' D' R U' R'|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|y2 M' U' (R' U' R U) x (R U' R' U) M x|OLL}}
{{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}

|-valign="top"
|

=== OLL 41 ===
[[Image:o41.gif]]

{{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}}

|

=== OLL 42 ===
[[Image:o42.gif]]

{{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}}

|}

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

=== OLL 28 ===
[[Image:o28.gif]]

{{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}}

|

=== OLL 57 ===
[[Image:o57.gif]]

{{Alg|R U R' U' r R' U R U' r'|OLL}}
{{Alg|(M' U)3 (M' U2) (M' U)3 M|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 U2 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:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

__NOTOC__

Template:E-PLL

2010-12-26T01:49:20Z

Jokerman5656: /* E Permutation */

===E Permutation===
{{case
|image=e.gif
|name=E-PLL
|methods=[[CPLL]], [[PLL]], [[L4C]], [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|x' R U' R' D R U R' D', R U R' D R U' R' D'|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|L R' U' R U L' U' R' U Rr U R' U' r' F R F'|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|R2 U R' y (R U' R' U)3 y' R U' R2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}
{{Alg|U2 (R L' U' L U R' U' L' U L) U2 (r U R' U' L' U R U')|PLL}}
{{Alg|Z U2 R2 F (R U R' U') (R U R' U') (R U R' U') F' R2 U2 Z'|PLL}}

PLL

2010-02-16T07:00:48Z

Jokerman5656: /* G Permutation : c */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y') d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2) d' L U2 L' U' L U L' U' L U R' U2 R U R' U RU' R' U L' U' R|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T07:00:00Z

Jokerman5656: /* G Permutation : d */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y2) d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2) d' L U2 L' U' L U L' U' L U R' U2 R U R' U RU' R' U L' U' R|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T06:57:53Z

Jokerman5656: /* G Permutation : c */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y2) d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T06:57:19Z

Jokerman5656: /* G Permutation : d */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T06:53:48Z

Jokerman5656: /* G Permutation : b */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2) d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T06:53:17Z

Jokerman5656: /* G Permutation : c */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2) d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T06:51:24Z

Jokerman5656: /* G Permutation : c */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y2) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2) d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T06:50:45Z

Jokerman5656: /* G Permutation : b */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2) d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T06:44:48Z

Jokerman5656: /* G Permutation : d */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2) d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T06:32:09Z

Jokerman5656: /* G Permutation : d */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2) d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'
|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T06:30:52Z

Jokerman5656: /* G Permutation : d */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2)d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'
|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T06:29:53Z

Jokerman5656: /* G Permutation : d */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg|(y2)
d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'
|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T06:25:16Z

Jokerman5656: /* G Permutation : c */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T06:24:43Z

Jokerman5656: /* G Permutation : c */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y') d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'
|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T06:22:51Z

Jokerman5656: /* G Permutation : c */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T06:21:08Z

Jokerman5656: /* G Permutation : c */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}
{{Alg|(y') d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'
|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T05:52:41Z

Jokerman5656: /* G Permutation : a */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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|(y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R|PLL}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

PLL

2010-02-16T05:50:11Z

Jokerman5656: /* G Permutation : b */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

{{Alg|M2 U M2 U2 M2 U M2|PLL|vidurl=http://www.youtube.com/watch?v=2oYCYc4BjaU}}
{{Alg|M2 U' M2 U2' M2 U' M2|PLL}}
{{Alg|R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'|PLL}}
{{Alg|U' M2 U2 M2 U M2 U2 M2|PLL}}
{{Alg|F2 M2 F2 U' F2 M2 F2 U|PLL}}
{{Alg|x U2 M2 U2 B' U2 M2 U2 B|PLL}}
{{Alg|R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'|PLL}}
{{Alg|L R U2 L' R' F' B' U2 F B|PLL}}
{{Alg|R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U|PLL}}
{{Alg|R2 U2 R U2 R2 U2 R2 U2 R U2 R2|PLL}}
{{Alg|M2 U M2 U M2 U M2 U M2 U M2 U'|PLL}}
{{Alg|R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U|PLL}}
{{Alg|M2 U2' M2 U' M2 U2' M2 U|PLL}}

===U Permutation : a===

[[Image:u1.gif]]

{{Alg|(y2) F2 U' L R' F2 L' R U' F2|PLL}}
{{Alg|M2 U M' U2 M U M2|PLL}}
{{Alg|(y2) M2 U M U2 M' U M2|PLL}}
{{Alg|R2 U' R' U' R U R U R U' R|PLL}}
{{Alg|(y2) L2 U' L' U' L U L U L U' L|PLL}}
{{Alg|B2 U' M U2 M' U' B2|PLL}}
{{Alg|(y2) R U' R U R U R U' R' U' R2|PLL}}
{{Alg|M2 U M' U2 M U2 M' U2 M U M2|PLL}}
{{Alg|(y) R2 U' y r U2 r' R U2 R' y' U' R2|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}
{{Alg|(y) R2' U' S' U2 S U' R2'|PLL}}

===U Permutation : b===

[[Image:u.gif]]

{{Alg|(y2) F2 U R' L F2 R L' U F2|PLL}}
{{Alg|M2 U' M' U2 M U' M2|PLL}}
{{Alg|(y2) M2 U' M U2 M' U' M2|PLL}}
{{Alg|R' U R' U' R' U' R' U R U R2|PLL}}
{{Alg|(y2) R2' U R U R' U' R' U' R' U R'|PLL}}
{{Alg|B2 U M U2 M' U B2|PLL}}
{{Alg|L2 U L U L' U' L' U' L' U L'|PLL}}
{{Alg|R U' R U R U R' U' R' U' R' U2 R'|PLL}}
{{Alg|M2 U' M' U2 M U2 M' U2 M U' M2|PLL}}
{{Alg|L' U' L U R U R' U2 L' U L U R U' R'|PLL}}
{{Alg|R U R' U' L' U' L U2 R U' R' U' L' U L|PLL}}

===Z Permutation===

[[Image:z.gif]]
{{Alg|y x' R U' R' U D R' D U' R' U R D2' F x|PLL}}
{{Alg|x L' U L U' D' L D' U L U' L' D2 F' x'|PLL}}
{{Alg|M2 U M2 U M U2 M2 U2 M U2|PLL}}
{{Alg|y M2 U M2 U M' U2 M2 U2 M' U2|PLL}}
{{Alg|y M2' U' M' U2' M2' U2' M' U M2'|PLL}}
{{Alg|y U R' U' R U' R U R U' R' U R U R2 U' R' U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ}}
{{Alg|R' U' R2 U R U R' U' R U R U' R U' R' U2|PLL|vidurl=http://www.youtube.com/watch?v=n8fJFo6SofY}}
{{Alg|R B' R' B F R' F B' R' B R F2 U|PLL|vidurl=http://www.youtube.com/watch?v=ZzDhypnDAiQ#t=00m17s}}
{{Alg|R2 U R2 U' R2 F2 R2 U' F2 U R2 F2|PLL}}
{{Alg|y' M2 U2 M' U' M2 U' M2 U' M' U|PLL}}
{{Alg|R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L|PLL}}
{{Alg|R' U L' E2 L U' R L' U R' E2 R U' L'|PLL}}
{{Alg|y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2|PLL}}
{{Alg|M' U M2 U M2 U M' U2 M2 U'|PLL}}
{{Alg|U' l' U R U' D' R U D' R U' R' D2|PLL}}
{{Alg|d R U R2 U' R' F R U R U' R U' R' U' R U R' F'|PLL}}
{{Alg|M2 U' M E2 M E2 U M2|PLL}}
{{Alg|F2 M2 F2 M2 U M2 U M2 U2|PLL}}
{{Alg|U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R|PLL|vidurl=http://archive.garron.us/vid/2008/stryker_Z_3_60.mp4}}
{{Alg|y R U R' U R' U' R' U R U' R' U' R2 U R U2|PLL}}
{{Alg|y' R U R B' R' B U' R' f R U R' U' f'|PLL}}
{{Alg|(x2 y) M2 U S2 U' S' M2 S|PLL}}
{{Alg|M2 U (F2 M2 F2 M2) U' M2|PLL}}
{{Alg|y M2 U2 M' U M2 U M2 U M' U'|PLL}}
{{Alg|R' U' R' F R F' U R F' U' L' U L F|PLL}}
{{Alg|x' R U' R' U D R' D U' R' U R D2' F|PLL}}

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

{{Alg|R' F R' B2 R F' R' B2 R2|PLL}}
{{Alg|(x') R' D R' U2 R D' R' U2 R2|PLL}}
{{Alg|(x) R' U R' D2 R U' R' D2 R2|PLL}}
{{Alg|(y' x) L2 D2 L' U' L D2 L' U L' |PLL}}
{{Alg|(y2) (L' B L') (F2 L B' L') (F2 L2)|PLL}}
{{Alg|(y2 z) F2 R U2 R' U2 F2 L' U2 L U2|PLL}}
{{Alg|(y z') U2 R U2 R' F2 U2 L' U2 L F2|PLL}}
{{Alg|R' U2 R2 U' L' U R' U' L U R' U2 R|PLL}}
{{Alg|(y) R2 F2 (R' B' R) F2 (R' B R')|PLL}}

===A Permutation : b===

[[Image:a.gif]]

{{Alg|R B' R F2 R' B R F2 R2 |PLL}}
{{Alg|(x) R D' R U2 R' D R U2 R2|PLL}}
{{Alg|(x') R U' R D2 R' U R D2 R2 |PLL}}
{{Alg|(y' x) R2 D2 R U R' D2 R U' R|PLL}}
{{Alg|(y2 x) L U' L D2 L' U L D2 L2 |PLL}}
{{Alg|(y z) U2 L' U2 L F2 U2 R U2 R' F2|PLL}}
{{Alg|(z') F2 L' U2 L U2 F2 R U2 R' U2|PLL}}
{{Alg|(y') R' U2 R U' L' U R U' L U R2 U2 R|PLL}}
{{Alg|(z) (U R' D r2 U') (R U r2' U') (D')|PLL}}
{{Alg|(z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)|PLL}}

===E Permutation===

[[Image:e.gif]]

{{Alg|R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'|PLL}}
{{Alg|x U R' U' L U R U' L' U R U' L U R' U' L'|PLL}}
{{Alg|y x' R U' R' D R U R' D2 L' U L D L' U' L|PLL}}
{{Alg|y x' R U' R' D R U R' D' R U R' D R U' R' D'|PLL}}
{{Alg|x U R' U' L U R U' r2' U' R U L U' R' U|PLL}}
{{Alg|y x R U' R' D R U R' u2 R' U R D R' U' R|PLL}}
{{Alg|y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')|PLL}}
{{Alg|l' U' L' U R U' l U R' U' L U R U' l' U|PLL}}
{{Alg|(r' R' U') (L D' L' U L) (R U' R' D R) U|PLL}}
{{Alg|r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2|PLL}}
{{Alg|x' U' R U L' U' R' U r2 U R' U' r' F R F'|PLL}}
{{Alg|y' z' R' F R2 U R' B' R U' R2 F' R z R B R'|PLL}}
{{Alg|R' U L' D2 L U' R L' U R' D2 R U' L|PLL}}
{{Alg|(R B L B' R') y (R L) y (L B' R' B L') y' (R' L')|PLL}}
{{Alg|l' U' (r' F R F') (R U R' U') L (U R U' R') F|PLL}}
{{Alg|(F' R U R' U') L' U R U' (l' U R' U' r) B R|PLL}}
{{Alg|U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R|PLL}}
{{Alg|U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R'|PLL}}
{{Alg|(R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2|PLL}}

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

{{Alg|(y2) R U' R' U R2 y R U R' U' x U' R' U R U2|PLL}}
{{Alg|yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'|PLL}}
{{Alg|R' U R U' R2 F' U' F U x R U R' U' R2 B'|PLL}}
{{Alg|R' U R U' R2' F' U' F U R U' x' R2 U' R' U|PLL}}
{{Alg|R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'|PLL}}
{{Alg|y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'|PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y) U' R' U R U' R'2 F' U' F U R x U R' U' R2|PLL}}
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2|PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL}}
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|PLL}}
{{Alg|(r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) |PLL}}
{{Alg| y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2 |PLL}}

===G Permutation : a===

[[Image:g3.gif]]

{{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}}

===G Permutation : b===

[[Image:g2.gif]]

{{Alg|R' U' R y 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) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'|PLL}}

===G Permutation : c===

[[Image:g1.gif]]
{{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' 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' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|(y') l' U' U' L' U l F' U' L U F R' F R|PLL}}

===G Permutation : d===

[[Image:g.gif]]

{{Alg|(y2) R U R' y' R2 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) 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') R' F' R F' U' L' U F R' F' L F2 R|PLL}}
{{Alg| U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R|PLL}} (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

{{Alg|(y2) R' U2 R U R' z R2' U R' D R U'|PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R U|PLL}}
{{Alg|(y2) F2 L' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|PLL}}
{{Alg|(y2) x U2 r' U' r U2 l' U R' U' R2|PLL}}
{{Alg|(y) R' U L' U2 R U' R' U2 L R U'|PLL}}
{{Alg|U' L' U R' z R2 U R' U' R2 U D|PLL}}
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|PLL}}
{{Alg|R U' L' U R' U2 L U' L' U2' L|PLL}}
{{Alg|R L d2 R' U' R d2 R' U L'|PLL}}
{{Alg|(L' U R' U2 L U' R) U (L' U R' U2 L U' R)|PLL}}
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|PLL}}
{{Alg|L' U2 L U L' U2 R U' L U R'|PLL}}
{{Alg|L' U' L F L' U' L U L F' L2 U L U|PLL}}

===J Permutation : b===

[[Image:j.gif]]

{{Alg|R U2 R' U' R U2 L' U R' U' L|PLL}}
{{Alg|R U2 R' U' R d2' R' U L' U' R|PLL}}
{{Alg|y2 R L U2 L' U' L U2 R' U L' U'|PLL}}
{{Alg|(R U R' F') (R U R' U' R') F (R2 U' R' U')|PLL}}
{{Alg|y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2|PLL}}
{{Alg|y' L' U' R U2 L' U L U2 L' R U|PLL}}
{{Alg|y2 F2' R U R' y r2 y' R U' R U R2'|PLL}}
{{Alg|L' U R U' L U2 R' U R U2' R'|PLL}}
{{Alg|y2 r2 U' L' U r' U2 R B' R' U2|PLL}}
{{Alg|(R U' L U2 R' U L) U' (R U' L U2 R' U L)|PLL}}
{{Alg|L' U R' U2 L U' L' U2 R L|PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|PLL}}
{{Alg|y2 (F2) R U R' (F2) L D' L D L2|PLL}}

===N Permutation : a===

[[Image:n1.gif]]

{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R|PLL}}
{{Alg|z D R' U R2 D' R (U' D) R' U R2 D' R U' R|PLL}}
{{Alg|y' L U' R U2 L' U R' L U' R U2 L' U R'|PLL}}
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|PLL}}
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l' U' y2|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|y z R' U R' D R2' U' R U D' R' D R2' U' R D'|PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 L' U R' U'|PLL}}
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL}}
{{Alg|z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y |PLL}}

===N Permutation : b===

[[Image:n.gif]]

{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R'|PLL}}
{{Alg|z U' R D' R2' U R' (U' D) R D' R2 U R' D |PLL}}
{{Alg|z (D' R U' R2' D R3 U) 2|PLL}}
{{Alg|L' U R' U2' L U' L' R U R' U2' L U' R U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|PLL}}
{{Alg|z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'|PLL}}
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|PLL}}
{{Alg|L U' R U2 L' U R' L U' R U2 L' U R' U'|PLL}}
{{Alg|R' U R U' R' F' U' F R U R' U' R' d R U R'|PLL}}
{{Alg|R' U L' U2 R U' L R' U L' U2 R U' L|PLL}}

===R Permutation : a===

[[Image:r1.gif]]

{{Alg|y2 z U R2 U' R2 U F' U' R' U R U F U2 R|PLL}}
{{Alg|y' R2 B' R' U' R' U R B R' U2 R U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2' U|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 F|PLL}}
{{Alg|U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'|PLL}}
{{Alg|y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL}}
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL}}
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|PLL}}
{{Alg|y2 L U2 L' U2 L F' L' U' L U L F L2 U|PLL}}
{{Alg|R l U' l' U' R' U l U l' U2 R U2' R'|PLL}}

===R Permutation : b===

[[Image:r.gif]]

{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|PLL}}
{{Alg|y R2 B2 U' R' U' R U R U B2 R U' R U|PLL}}
{{Alg|R' U2 R U' y' R' F R B' R' F' R z x' R' U R'|PLL}}
{{Alg|y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL}}
{{Alg|r' L' U r U L U' r' U' r U2 L' U2 L|PLL}}

===T Permutation===

[[Image:t.gif]]

{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL}}
{{Alg|y2 L' U' L U L F' L2 U L U L' U' L F|PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL}}
{{Alg|L2 U' L2 D F2 R2 U R2 D' F2|PLL}}
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|PLL}}
{{Alg|R2' u' R2 U R2' y R2 u R2' U' R2|PLL}}
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|PLL}}
{{Alg|(z x2) U2 r' U2 r U2 x U2 r U2 r' U2|PLL}}

===V Permutation===

[[Image:V.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R' F'|PLL}}
{{Alg|R' U R' U' y x R' U' R2 x' U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|PLL}}
{{Alg|R' U R' U' x2 y' R' U R' U' l R U' R' U R U|PLL}}
{{Alg|y L' U R U' L U L' U R' U' L U2 R U2 R'|PLL}}
{{Alg|y2 R U' L' U R' U' R U' L U R' U2 L' U2 L|PLL}}
{{Alg|y' R' U L U' R U R' U L' U' R U2 L U2 L'|PLL}}
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y z' U' R U' R' U2 y' R' U' R U R|PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL}}
{{Alg|R' U R' U' y R' D R' D' R2 F' R' F R F|PLL}}
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|PLL}}
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U r'|PLL}}
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|PLL}}

===Y Permutation===

[[Image:Y.gif]]

{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
{{Alg|R2 u R2' U R2 D' R' U' R F2' R' U R|PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL}}
{{Alg|R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z|PLL}}
{{Alg|y F' L' U L U L' U' L F L' U' L U L' F' L F|PLL}}
{{Alg|F R U' R' F D R' y x R' U' R z R2 y L' d2|PLL}}
{{Alg|z' U2 L' U' L U L' y' L' U' R U' R' U' L U|PLL}}
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U|PLL}}
{{Alg|z U2 R U R' U' R y R U L' U L U R' U'|PLL}}
{{Alg|F R U' R' U' R d R U R' B' R U' R2|PLL}}
{{Alg|R' F R F' y' U' R' U R2 U R' U' R' F R F' U'|PLL}}
{{Alg|y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'|PLL}}

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)

OLL

2010-02-13T04:37:57Z

Jokerman5656: /* OLL 41 */

__NOTOC__
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods, such as the [[Fridrich Method]].

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.

Click on an algorithm (not the camera icon) to watch an animation of it.

==All edges flipped correctly==
This subgroup, '''OCLL''' 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]].

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== OLL 21 ===
[[Image:o21.gif]]

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

|

=== OLL 22 ===
[[Image:o22.gif]]

{{Alg|R U2 R2' U' R2 U' R2' U2 R|OLL}}
{{Alg|f (R U R' U') f' F (R U R' U') F'|OLL}}
{{Alg|y2 f' (L' U' L U) f F' (L' U' L U) F|OLL}}
{{Alg|y2 L' U2 L2 U L2 U L2 U2 L'|OLL}}
{{Alg|R U2 R2 U' R' U R U' R U' R' y M' U2 M|OLL}}
{{Alg|R' U L U' R U' L' U' L U' L'|OLL}}
{{Alg|y2 L U' R' U L' U R U R' U R|OLL}}
{{Alg|y2 L' U R U' L U' R' U' R U' R'|OLL}}
{{Alg|R U' L' U R' U L U L' U L|OLL}}
{{Alg|R U R' U R U2 R' y' R U R' U R U2 R'|OLL}}

|-valign="top"
|

=== OLL 23 ===
[[Image:o23.gif]]

{{Alg|R2 D' R U2 R' D R U2 R|OLL}}
{{Alg|L2 D L' U2 L D' L' U2 L'|OLL}}
{{Alg|R' U2 R F U' R' U' R U F'|OLL}}
{{Alg|l2 U' R D2 R' U R D2 R|OLL}}
{{Alg|l2' U' z' U R2 U' L U R2 z' L|OLL}}
{{Alg|y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'|OLL}}
{{Alg|y2 R' F2 R U2 R U2 R' F2 R U2 R'|OLL}}
{{Alg|y2 R2 D R' U2 R D' R' U2 R'|OLL}}
{{Alg|(R' U' R U) R' U2 R2 U (R' U R U2 R)|OLL}}
{{Alg|R2' B2 R F2' R' B2 R F2' R|OLL}}

|

=== OLL 24 ===
[[Image:o24.gif]]

{{Alg|r U R' U' L' U R U' x'|OLL}}
{{Alg|r U R' U' r' F R F'|OLL}}
{{Alg|y' F R U R' U' R U' R U' R U R' F'|OLL}}
{{Alg|y' R U R2' U' R2 U' R2' U2' R U' R U' R'|OLL}}
{{Alg|y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')|OLL}}
{{Alg|y x D' R' U R D R' U' R x'|OLL}}
{{Alg|y x D L U' L' D' L U L' x' |OLL}}
{{Alg|y x' U' R' D R U R' D' R x|OLL}}
{{Alg|y2 R' F' r U R U' r' F|OLL}}
{{Alg|y2 l' U' L U R U' r' F|OLL}}

|-valign="top"
|

=== OLL 25 ===
[[Image:o25.gif]]

{{Alg|y2 R' F R B' R' F' R B|OLL}}
{{Alg|y' F' r U R' U' r' F R|OLL}}
{{Alg|y' x U R' U' L U R U' r'|OLL}}
{{Alg|y R' F' L' F R F' L F|OLL}}
{{Alg|y R' U' (R U R' F') (R U R' U') (R' F R2)|OLL}}
{{Alg|y2 R U2' R D R' U2 R D' R2'|OLL}}
{{Alg|y2 F R' F' r U R U' r'|OLL}}
{{Alg|y2 l' U R D' R' U' R D x'|OLL}}
{{Alg|y2 x' L' U' R' U L U' R U|OLL}}
{{Alg|x' D R U R' D' R U' l'|OLL}}
{{Alg|x' U L' U' R U L U' l'|OLL}}
{{Alg|x' R' D R U' R' D' R U x|OLL}}
{{Alg|x R' U R D' R' U' R D x'|OLL}}
{{Alg|y2 x L U' L' D L U L' D' x'|OLL}}
{{Alg|l' U' L' U R U' L U x'|OLL}}
{{Alg|U r U R U' L' U R' U' x'|OLL}}
{{Alg|R U2 R' U' R U R' U' R U R' U' R U' R'|OLL}}
{{Alg|R U R' U R U' R' U R U' R' U R U2 R'|OLL}}
{{Alg|y2 L' R U R' U' L U R U' R'|OLL}}
|

=== OLL 26 ===
[[Image:o26.gif]]

{{Alg|y2 R' U' R U' R' U2 R|OLL}}
{{Alg|y' R U2 R' U' R U' R'|OLL}}
{{Alg|y' L U2 L' U' L U' L'|OLL}}
{{Alg|L' U' L U' L' U2 L|OLL}}
{{Alg|L' U R U' L U R'|OLL}}
{{Alg|y' L' U R U' L U R'|OLL}}
{{Alg|y' R U R' R U R' U' R U R' R U R' R U R' |OLL}}

=== OLL 27 ===
[[Image:o27.gif]]

{{Alg|R U R' U R U2 R'|OLL}}
{{Alg|R U R' U R U R' R U R'|OLL}}
{{Alg|y' R' U2 R U R' U R|OLL}}
{{Alg|y L' U2 L U L' U L|OLL}}
{{Alg|y2 L U L' U L U2 L'|OLL}}
{{Alg|R U' L' U R' U' L|OLL}}
{{Alg|U2 r2 U R' U' L' U R U' r'|OLL}}

|}

==No edges flipped correctly==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 1 ===
[[Image:o1.gif]]

{{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}}

|

=== OLL 2 ===
[[Image:o2.gif]]

{{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}}

|-valign="top"
|

=== OLL 3 ===
[[Image:o3.gif]]

{{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 ===
[[Image:o4.gif]]

{{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 ===
[[Image:o20.gif]]

{{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|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 U2 M U2 M U M' U2 M' U2 M' U'|OLL}}
{{Alg|M' U M' U M' U M' U M U M U M U M U|OLL}}
{{Alg|M' U M U M' U2 M' U M' U M U M' U M' |OLL}}
{{Alg|M' U' M U' M' U2 M' U' M' U' M U' M' U' M' |OLL}}
{{Alg|M' U' M U2 M' U' M2 U M' U2 M U M'|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|F U2 F' U L' U' B' R' U2 R U' B U L |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|B' R' B F2 U' R' U' R' F R2 U F2 R |OLL}}
{{Alg|B L B' F2 U L U L F' L2 U' F2 L' |OLL}}
{{Alg|S U S2 U' L U L S L' U' L' |OLL}}
{{Alg|S' U' S2 U R' U' R' S' R U R|OLL}}
{{Alg|(M U) 4 (M' U) 4|OLL}}

|

=== OLL 17 ===
[[Image:o17.gif]]

{{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}}

=== OLL 18 ===
[[Image:o18.gif]]

{{Alg|y' r U R' U R U2 r2' U' R U' R' U2 r|OLL}}
{{Alg|y2 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}}

=== OLL 19 ===
[[Image:o19.gif]]

{{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' r R2' F R F'|OLL}}
{{Alg|M U R U R' U' M' l' U R U'|OLL}}

|}

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

=== OLL 31 ===
[[Image:o31.gif]]

{{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|y2 R' U' F U R U' R' F' R|OLL}}
{{Alg|L' U' B U L U' L' B' L|OLL}}

|

=== OLL 32 ===
[[Image:o32.gif]]

{{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 U B' U' R' U R B R'|OLL}}
{{Alg|y2 F U R U' F' r U R' U' r'|OLL}}

|-valign="top"
|

=== OLL 43 ===
[[Image:o43.gif]]

{{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|U R U R' F' L' U' L F|OLL}}
{{Alg|y2 R' U' F R' F' R U R|OLL}}

|

=== OLL 44 ===
[[Image:o44.gif]]

{{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 ===
[[Image:o36.gif]]

{{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 ===
[[Image:o38.gif]]

{{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 53 ===
[[Image:o53.gif]]

{{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 ===
[[Image:o54.gif]]

{{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}}

|-valign="top"
|

=== OLL 50 ===
[[Image:o50.gif]]

{{Alg|y2 R' F R2 B' R2 F' R2 B R'|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 x') U' r U2 L' U2 r' U2 L U' (x)|OLL}}

|

=== OLL 47 ===
[[Image:o47.gif]]

{{Alg|F' L' U' L U L' U' L U F|OLL}}
{{Alg|R' U' x R' U R U' R' U R U' x' U R|OLL}}
{{Alg|b' U' R' U R U' R' U R b|OLL}}
{{Alg|y' r U R' U R U2 r' R' U2 R U R' U R|OLL}}

|-valign="top"
|

=== OLL 48 ===
[[Image:o48.gif]]

{{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 49 ===
[[Image:o49.gif]]

{{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}}

|}

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

=== OLL 34 ===
[[Image:o34.gif]]

{{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' (R' F R F') B|OLL}}
{{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}}

|

=== OLL 46 ===
[[Image:o46.gif]]

{{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 ===
[[Image:o33.gif]]

{{Alg|R U R' U' R' F R F'|OLL}}
{{Alg|R' U' R U l U' R' U (x)|OLL}}

|

=== OLL 45 ===
[[Image:o45.gif]]

{{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 ===
[[Image:o55.gif]]

{{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 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}}
A 4x4x4 special: Note: Rra = (R + r) + (L + l) :: (y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'

|

=== OLL 56 ===
[[Image:o56.gif]]
{{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 B R' U L U' L' U L U' L' R B' R'|OLL}}

|-valign="top"
|

=== OLL 51 ===
[[Image:o51.gif]]

{{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 ===
[[Image:o52.gif]]

{{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|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}}

|}

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

=== OLL 5 ===
[[Image:o5.gif]]

{{Alg|(r' U2) (R U R' U r)|OLL|vidurl=http://www.youtube.com/watch?v=beKUmNDs-Zo&feature=related}}
{{Alg|y2 l' U2 L U L' U l'|OLL}}

|

=== OLL 6 ===
[[Image:o6.gif]]

{{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 ===
[[Image:o39.gif]]

{{Alg|L F' L' U' L U F U' L'|OLL}}
{{Alg|y2 f' L F L' U' L' U L S|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 ===
[[Image:o40.gif]]

{{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 ===
[[Image:o7.gif]]

{{Alg|r U R' U R U2 r'|OLL}}
{{Alg|F R' F' R U2 R U2 R'|OLL}}
{{Alg|L' U2 L U2 L F' L' F|OLL}}

|

=== OLL 8 ===
[[Image:o8.gif]]

{{Alg|y2 r' U' R U' R' U2 r|OLL}}
{{Alg|R U2 R' U2 R' F R F'|OLL}}

|-valign="top"
|

=== OLL 11 ===
[[Image:o11.gif]]

{{Alg|r' R2 U R' U R U2 R' U r R'|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}}

|

=== OLL 12 ===
[[Image:o12.gif]]

{{Alg|F R U R' U' F' y 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}}

|}

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

=== OLL 9 ===
[[Image:o9.gif]]

{{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' R' U' R y r U' r' U r U r|OLL}}

|

=== OLL 10 ===
[[Image:o10.gif]]

{{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 ===
[[Image:o35.gif]]

{{Alg|R U2 R2' F R F' R U2 R'|OLL}}
{{Alg|y' R' U2 (R l) U' R' U l' U2 R|OLL}}

|

=== OLL 37 ===
[[Image:o37.gif]]

{{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 F R' F' R U R U' R'|OLL}}
{{Alg|R B' R' B U B U' B'|OLL}}

|}

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

=== OLL 13 ===
[[Image:o13.gif]]

{{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}}

|

=== OLL 14 ===
[[Image:o14.gif]]

{{Alg|R' F R U R' F' R 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' R U' R' F' R U R' x y R' U R|OLL}}
{{Alg|y2 r' U r U r' U' r y R U' R'|OLL}}

|-valign="top"
|

=== OLL 15 ===
[[Image:o15.gif]]

{{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 ===
[[Image:o16.gif]]

{{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 ===
[[Image:o29.gif]]

{{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|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|M U (R U R' U') (R' F R F') M'|OLL}}
{{Alg|y2 r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}

|

=== OLL 30 ===
[[Image:o30.gif]]

{{Alg|y2 F R' F R2 U' R' U' R U R' F2|OLL}}
{{Alg|l U' R' U l' U2 d L U L'|OLL}}
{{Alg|f R U R2 U' R' U R2 U' R' f'|OLL}}
{{Alg|y2 F U R U' x' U R' D' R U' R'|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|y2 M' U' (R' U' R U) x (R U' R' U) M x|OLL}}
{{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}

|-valign="top"
|

=== OLL 41 ===
[[Image:o41.gif]]

{{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}}

|

=== OLL 42 ===
[[Image:o42.gif]]

{{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}}

|}

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

=== OLL 28 ===
[[Image:o28.gif]]

{{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}}

|

=== OLL 57 ===
[[Image:o57.gif]]

{{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 U2 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}}

|}

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

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/OLLCheatSheet.pdf OLL Cheat Sheet] (Printable PDF of all OLL algorithms on 2 pages. Can be printed Double Sided)

OLL

2010-02-13T04:37:03Z

Jokerman5656: /* OLL 41 */

__NOTOC__
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods, such as the [[Fridrich Method]].

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.

Click on an algorithm (not the camera icon) to watch an animation of it.

==All edges flipped correctly==
This subgroup, '''OCLL''' 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]].

{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|
=== OLL 21 ===
[[Image:o21.gif]]

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

|

=== OLL 22 ===
[[Image:o22.gif]]

{{Alg|R U2 R2' U' R2 U' R2' U2 R|OLL}}
{{Alg|f (R U R' U') f' F (R U R' U') F'|OLL}}
{{Alg|y2 f' (L' U' L U) f F' (L' U' L U) F|OLL}}
{{Alg|y2 L' U2 L2 U L2 U L2 U2 L'|OLL}}
{{Alg|R U2 R2 U' R' U R U' R U' R' y M' U2 M|OLL}}
{{Alg|R' U L U' R U' L' U' L U' L'|OLL}}
{{Alg|y2 L U' R' U L' U R U R' U R|OLL}}
{{Alg|y2 L' U R U' L U' R' U' R U' R'|OLL}}
{{Alg|R U' L' U R' U L U L' U L|OLL}}
{{Alg|R U R' U R U2 R' y' R U R' U R U2 R'|OLL}}

|-valign="top"
|

=== OLL 23 ===
[[Image:o23.gif]]

{{Alg|R2 D' R U2 R' D R U2 R|OLL}}
{{Alg|L2 D L' U2 L D' L' U2 L'|OLL}}
{{Alg|R' U2 R F U' R' U' R U F'|OLL}}
{{Alg|l2 U' R D2 R' U R D2 R|OLL}}
{{Alg|l2' U' z' U R2 U' L U R2 z' L|OLL}}
{{Alg|y' R U R' U' (R U' R' U2)(R U' R' U2) R U R'|OLL}}
{{Alg|y2 R' F2 R U2 R U2 R' F2 R U2 R'|OLL}}
{{Alg|y2 R2 D R' U2 R D' R' U2 R'|OLL}}
{{Alg|(R' U' R U) R' U2 R2 U (R' U R U2 R)|OLL}}
{{Alg|R2' B2 R F2' R' B2 R F2' R|OLL}}

|

=== OLL 24 ===
[[Image:o24.gif]]

{{Alg|r U R' U' L' U R U' x'|OLL}}
{{Alg|r U R' U' r' F R F'|OLL}}
{{Alg|y' F R U R' U' R U' R U' R U R' F'|OLL}}
{{Alg|y' R U R2' U' R2 U' R2' U2' R U' R U' R'|OLL}}
{{Alg|y' R U' R' (U2 R U R') (U2 R U R') (U R U' R')|OLL}}
{{Alg|y x D' R' U R D R' U' R x'|OLL}}
{{Alg|y x D L U' L' D' L U L' x' |OLL}}
{{Alg|y x' U' R' D R U R' D' R x|OLL}}
{{Alg|y2 R' F' r U R U' r' F|OLL}}
{{Alg|y2 l' U' L U R U' r' F|OLL}}

|-valign="top"
|

=== OLL 25 ===
[[Image:o25.gif]]

{{Alg|y2 R' F R B' R' F' R B|OLL}}
{{Alg|y' F' r U R' U' r' F R|OLL}}
{{Alg|y' x U R' U' L U R U' r'|OLL}}
{{Alg|y R' F' L' F R F' L F|OLL}}
{{Alg|y R' U' (R U R' F') (R U R' U') (R' F R2)|OLL}}
{{Alg|y2 R U2' R D R' U2 R D' R2'|OLL}}
{{Alg|y2 F R' F' r U R U' r'|OLL}}
{{Alg|y2 l' U R D' R' U' R D x'|OLL}}
{{Alg|y2 x' L' U' R' U L U' R U|OLL}}
{{Alg|x' D R U R' D' R U' l'|OLL}}
{{Alg|x' U L' U' R U L U' l'|OLL}}
{{Alg|x' R' D R U' R' D' R U x|OLL}}
{{Alg|x R' U R D' R' U' R D x'|OLL}}
{{Alg|y2 x L U' L' D L U L' D' x'|OLL}}
{{Alg|l' U' L' U R U' L U x'|OLL}}
{{Alg|U r U R U' L' U R' U' x'|OLL}}
{{Alg|R U2 R' U' R U R' U' R U R' U' R U' R'|OLL}}
{{Alg|R U R' U R U' R' U R U' R' U R U2 R'|OLL}}
{{Alg|y2 L' R U R' U' L U R U' R'|OLL}}
|

=== OLL 26 ===
[[Image:o26.gif]]

{{Alg|y2 R' U' R U' R' U2 R|OLL}}
{{Alg|y' R U2 R' U' R U' R'|OLL}}
{{Alg|y' L U2 L' U' L U' L'|OLL}}
{{Alg|L' U' L U' L' U2 L|OLL}}
{{Alg|L' U R U' L U R'|OLL}}
{{Alg|y' L' U R U' L U R'|OLL}}
{{Alg|y' R U R' R U R' U' R U R' R U R' R U R' |OLL}}

=== OLL 27 ===
[[Image:o27.gif]]

{{Alg|R U R' U R U2 R'|OLL}}
{{Alg|R U R' U R U R' R U R'|OLL}}
{{Alg|y' R' U2 R U R' U R|OLL}}
{{Alg|y L' U2 L U L' U L|OLL}}
{{Alg|y2 L U L' U L U2 L'|OLL}}
{{Alg|R U' L' U R' U' L|OLL}}
{{Alg|U2 r2 U R' U' L' U R U' r'|OLL}}

|}

==No edges flipped correctly==
{|border="0" width="100%" valign="top" cellpadding="3"
|-valign="top"
|

=== OLL 1 ===
[[Image:o1.gif]]

{{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}}

|

=== OLL 2 ===
[[Image:o2.gif]]

{{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}}

|-valign="top"
|

=== OLL 3 ===
[[Image:o3.gif]]

{{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 ===
[[Image:o4.gif]]

{{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 ===
[[Image:o20.gif]]

{{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|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 U2 M U2 M U M' U2 M' U2 M' U'|OLL}}
{{Alg|M' U M' U M' U M' U M U M U M U M U|OLL}}
{{Alg|M' U M U M' U2 M' U M' U M U M' U M' |OLL}}
{{Alg|M' U' M U' M' U2 M' U' M' U' M U' M' U' M' |OLL}}
{{Alg|M' U' M U2 M' U' M2 U M' U2 M U M'|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|F U2 F' U L' U' B' R' U2 R U' B U L |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|B' R' B F2 U' R' U' R' F R2 U F2 R |OLL}}
{{Alg|B L B' F2 U L U L F' L2 U' F2 L' |OLL}}
{{Alg|S U S2 U' L U L S L' U' L' |OLL}}
{{Alg|S' U' S2 U R' U' R' S' R U R|OLL}}
{{Alg|(M U) 4 (M' U) 4|OLL}}

|

=== OLL 17 ===
[[Image:o17.gif]]

{{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}}

=== OLL 18 ===
[[Image:o18.gif]]

{{Alg|y' r U R' U R U2 r2' U' R U' R' U2 r|OLL}}
{{Alg|y2 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}}

=== OLL 19 ===
[[Image:o19.gif]]

{{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' r R2' F R F'|OLL}}
{{Alg|M U R U R' U' M' l' U R U'|OLL}}

|}

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

=== OLL 31 ===
[[Image:o31.gif]]

{{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|y2 R' U' F U R U' R' F' R|OLL}}
{{Alg|L' U' B U L U' L' B' L|OLL}}

|

=== OLL 32 ===
[[Image:o32.gif]]

{{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 U B' U' R' U R B R'|OLL}}
{{Alg|y2 F U R U' F' r U R' U' r'|OLL}}

|-valign="top"
|

=== OLL 43 ===
[[Image:o43.gif]]

{{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|U R U R' F' L' U' L F|OLL}}
{{Alg|y2 R' U' F R' F' R U R|OLL}}

|

=== OLL 44 ===
[[Image:o44.gif]]

{{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 ===
[[Image:o36.gif]]

{{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 ===
[[Image:o38.gif]]

{{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 53 ===
[[Image:o53.gif]]

{{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 ===
[[Image:o54.gif]]

{{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}}

|-valign="top"
|

=== OLL 50 ===
[[Image:o50.gif]]

{{Alg|y2 R' F R2 B' R2 F' R2 B R'|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 x') U' r U2 L' U2 r' U2 L U' (x)|OLL}}

|

=== OLL 47 ===
[[Image:o47.gif]]

{{Alg|F' L' U' L U L' U' L U F|OLL}}
{{Alg|R' U' x R' U R U' R' U R U' x' U R|OLL}}
{{Alg|b' U' R' U R U' R' U R b|OLL}}
{{Alg|y' r U R' U R U2 r' R' U2 R U R' U R|OLL}}

|-valign="top"
|

=== OLL 48 ===
[[Image:o48.gif]]

{{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 49 ===
[[Image:o49.gif]]

{{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}}

|}

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

=== OLL 34 ===
[[Image:o34.gif]]

{{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' (R' F R F') B|OLL}}
{{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}}

|

=== OLL 46 ===
[[Image:o46.gif]]

{{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 ===
[[Image:o33.gif]]

{{Alg|R U R' U' R' F R F'|OLL}}
{{Alg|R' U' R U l U' R' U (x)|OLL}}

|

=== OLL 45 ===
[[Image:o45.gif]]

{{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 ===
[[Image:o55.gif]]

{{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 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}}
A 4x4x4 special: Note: Rra = (R + r) + (L + l) :: (y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'

|

=== OLL 56 ===
[[Image:o56.gif]]
{{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 B R' U L U' L' U L U' L' R B' R'|OLL}}

|-valign="top"
|

=== OLL 51 ===
[[Image:o51.gif]]

{{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 ===
[[Image:o52.gif]]

{{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|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}}

|}

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

=== OLL 5 ===
[[Image:o5.gif]]

{{Alg|(r' U2) (R U R' U r)|OLL|vidurl=http://www.youtube.com/watch?v=beKUmNDs-Zo&feature=related}}
{{Alg|y2 l' U2 L U L' U l'|OLL}}

|

=== OLL 6 ===
[[Image:o6.gif]]

{{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 ===
[[Image:o39.gif]]

{{Alg|L F' L' U' L U F U' L'|OLL}}
{{Alg|y2 f' L F L' U' L' U L S|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 ===
[[Image:o40.gif]]

{{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 ===
[[Image:o7.gif]]

{{Alg|r U R' U R U2 r'|OLL}}
{{Alg|F R' F' R U2 R U2 R'|OLL}}
{{Alg|L' U2 L U2 L F' L' F|OLL}}

|

=== OLL 8 ===
[[Image:o8.gif]]

{{Alg|y2 r' U' R U' R' U2 r|OLL}}
{{Alg|R U2 R' U2 R' F R F'|OLL}}

|-valign="top"
|

=== OLL 11 ===
[[Image:o11.gif]]

{{Alg|r' R2 U R' U R U2 R' U r R'|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}}

|

=== OLL 12 ===
[[Image:o12.gif]]

{{Alg|F R U R' U' F' y 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}}

|}

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

=== OLL 9 ===
[[Image:o9.gif]]

{{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' R' U' R y r U' r' U r U r|OLL}}

|

=== OLL 10 ===
[[Image:o10.gif]]

{{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 ===
[[Image:o35.gif]]

{{Alg|R U2 R2' F R F' R U2 R'|OLL}}
{{Alg|y' R' U2 (R l) U' R' U l' U2 R|OLL}}

|

=== OLL 37 ===
[[Image:o37.gif]]

{{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 F R' F' R U R U' R'|OLL}}
{{Alg|R B' R' B U B U' B'|OLL}}

|}

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

=== OLL 13 ===
[[Image:o13.gif]]

{{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}}

|

=== OLL 14 ===
[[Image:o14.gif]]

{{Alg|R' F R U R' F' R 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' R U' R' F' R U R' x y R' U R|OLL}}
{{Alg|y2 r' U r U r' U' r y R U' R'|OLL}}

|-valign="top"
|

=== OLL 15 ===
[[Image:o15.gif]]

{{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 ===
[[Image:o16.gif]]

{{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 ===
[[Image:o29.gif]]

{{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|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|M U (R U R' U') (R' F R F') M'|OLL}}
{{Alg|y2 r U2 R' U' R U' r' R' U2 R U R' U R|OLL}}

|

=== OLL 30 ===
[[Image:o30.gif]]

{{Alg|y2 F R' F R2 U' R' U' R U R' F2|OLL}}
{{Alg|l U' R' U l' U2 d L U L'|OLL}}
{{Alg|f R U R2 U' R' U R2 U' R' f'|OLL}}
{{Alg|y2 F U R U' x' U R' D' R U' R'|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|y2 M' U' (R' U' R U) x (R U' R' U) M x|OLL}}
{{Alg|r' U2 R U R' U r R U2 R' U' R U' R'|OLL}}

|-valign="top"
|

=== OLL 41 ===
[[Image:o41.gif]]

{{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}}

|

=== OLL 42 ===
[[Image:o42.gif]]

{{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}}

|}

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

=== OLL 28 ===
[[Image:o28.gif]]

{{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}}

|

=== OLL 57 ===
[[Image:o57.gif]]

{{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 U2 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}}

|}

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

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

== External Links ==

* [http://mordred.awardspace.us/OLLCheatSheet.pdf OLL Cheat Sheet] (Printable PDF of all OLL algorithms on 2 pages. Can be printed Double Sided)

PLL

2009-12-21T03:55:09Z

Jokerman5656: /* F Permutation */

__NOTOC__
'''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}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

* M2 U' M2 U2' M2 U' M2
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'
* U' M2 U2 M2 U M2 U2 M2
* F2 M2 F2 U' F2 M2 F2 U
* x U2 M2 U2 B' U2 M2 U2 B
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'
* L R U2 L' R' F' B' U2 F B
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2
* M2 U M2 U M2 U M2 U M2 U M2 U'
* M2 U M2 U2 M2 U M2
* R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U

===U Permutation : a===

[[Image:u1.gif]]

* (y2) F2 U' L R' F2 L' R U' F2
* M2 U M' U2 M U M2
* (y2) M2 U M U2 M' U M2
* R2 U' R' U' R U R U R U' R
* (y2) L2 U' L' U' L U L U L U' L
* B2 U' M' U2 M U' B2
* (y2) R U' R U R U R U' R' U' R2
* M2 U M' U2 M U2 M' U2 M U M2
* (y) R2 U' y r U2 r' R U2 R' y' U' R2
* R U R' U' L' U' L U2 R U' R' U' L' U L
* (y) R2' U' S' U2 S U' R2'

===U Permutation : b===

[[Image:u.gif]]

* (y2) F2 U R' L F2 R L' U F2
* M2 U' M' U2 M U' M2
* (y2) M2 U' M U2 M' U' M2
* R' U R' U' R' U' R' U R U R2
* (y2) R2' U R U R' U' R' U' R' U R'
* B2 U M' U2 M U B2
* L2 U L U L' U' L' U' L' U L'
* R U' R U R U R' U' R' U' R' U2 R'
* M2 U' M' U2 M U2 M' U2 M U' M2
* L' U' L U R U R' U2 L' U L U R U' R'

===Z Permutation===

[[Image:z.gif]]
* y x' R U' R' U D R' D U' R' U R D2' F x
* x L' U L U' D' L D' U L U' L' D2 F' x'
* M2 U M2 U M U2 M2 U2 M U2
* y M2 U M2 U M' U2 M2 U2 M' U2
* y M2' U' M' U2' M2' U2' M' U M2'
* y U R' U' R U' R U R U' R' U R U R2 U' R' U
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2
* y' M2 U2 M' U' M2 U' M2 U' M' U
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L
* R' U L' E2 L U' R L' U R' E2 R U' L'
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2
* M' U M2 U M2 U M' U2 M2 U'
* U' l' U R U' D' R U D' R U' R' D2
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'
* M2 U' M E2 M E2 U M2
* F2 M2 F2 M2 U M2 U M2 U2
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R
* y R U R' U R' U' R' U R U' R' U' R2 U R U2
* y' R U R B' R' B U' R' f R U R' U' f'
* (x2 y) M2 U S2 U' S' M2 S
* M2 U (F2 M2 F2 M2) U' M2

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

* R' F R' B2 R F' R' B2 R2
* (x') R' D R' U2 R D' R' U2 R2
* (x) R' U R' D2 R U' R' D2 R2
* (y' x) L2 D2 L' U' L D2 L' U L'
* (y2) (L' B L') (F2 L B' L') (F2 L2)
* (y2 z) F2 R U2 R' U2 F2 L' U2 L U2
* (y z') U2 R U2 R' F2 U2 L' U2 L F2
* R' U2 R2 U' L' U R' U' L U R' U2 R
* (y) R2 F2 (R' B' R) F2 (R' B R')

===A Permutation : b===

[[Image:a.gif]]

* R B' R F2 R' B R F2 R2
* (x) R D' R U2 R' D R U2 R2
* (x') R U' R D2 R' U R D2 R2
* (y' x) R2 D2 R U R' D2 R U' R
* (y2 x) L U' L D2 L' U L D2 L2
* (y z) U2 L' U2 L F2 U2 R U2 R' F2
* (z') F2 L' U2 L U2 F2 R U2 R' U2
* (y') R' U2 R U' L' U R U' L U R2 U2 R
* (z) (U R' D r2 U') (R U r2' U') (D')
* (z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)

===E Permutation===

[[Image:e.gif]]

* R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'
* x U R' U' L U R U' L' U R U' L U R' U' L'
* y x' R U' R' D R U R' D2 L' U L D L' U' L
* y x' R U' R' D R U R' D' R U R' D R U' R' D'
* x U R' U' L U R U' r2' U' R U L U' R' U
* y x R U' R' D R U R' u2 R' U R D R' U' R
* y x (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')
* l' U' L' U R U' l U R' U' L U R U' l' U
* (r' R' U') (L D' L' U L) (R U' R' D R) U
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2
* x' U' R U L' U' R' U r2 U R' U' r' F R F'
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'
* R' U L' D2 L U' R L' U R' D2 R U' L
* (R B L B' R') y (R L) y (L B' R' B L') y' (R' L')
* l' U' (r' F R F') (R U R' U') L (U R U' R') F
* (F' R U R' U') L' U R U' (l' U R' U' r) B R

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

* (y2) R U' R' U R2 y R U R' U' x U' R' U R U2
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'
* R' U R U' R2 F' U' F U x R U R' U' R2 B'
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U
* R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F
* (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2
* (y2) M U2 r' U l' U2 r U' R2 r U2 R2
* (y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R (from [[http://www.speedcubers.de/forum/showthread.php?tid=1807 here]])
* L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'

===G Permutation : a===

[[Image:g3.gif]]

* (y) R2' u R' U R' U' R u' R2 y' R' U R
* (y) R2 D B' U B' U' B D' R2 F' U F
* (y2) F2' D R' U R' U' R D' F2 L' U L
* R L U2 R' L' y' R' U L' U2 R U' L

===G Permutation : b===

[[Image:g2.gif]]

* R' U' R y R2 u R' U R U' R u' R2
* R' U' R B2 D L' U L U' L D' B2
* (y2) L' U' L y' R2' u R' U R U' R u' R2
* (y') R' U L' U2 R U' L y R L U2 L' R'

===G Permutation : c===

[[Image:g1.gif]]
* (y) R2' u' R U' R U R' u R2 y R U' R'
* (y) R2' u' R U' R U R' u R2 B U' B'
* (y) R2' D' F U' F U F' D R2 B U' B'
* (y2) F2' D' L U' L U L' D F2 R U' R'
* L' R' U2 L R (y) L U' R U2 L' U R'
* (y') l' U' U' L' U l F' U' L U F R' F R

===G Permutation : d===

[[Image:g.gif]]

* (y2) R U R' y' R2 u' R U' R' U R' u R2
* (y2) R U R' F2 D' L U' L' U L' D F2
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l x
* (y) L U' R U2 L' U R' y R' L' U2 R L
* (y) L U' R U2 L' U R' y' L' R' U2 L R
* (y') R' F' R F' U' L' U F R' F' L F2 R
* U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

* (y2) R' U2 R U R' z' R2' U R' D R U'
* (y2) L' R' U2 R U R' U2 L U' R U
* (y2) F2 L' U' r U2 l' U R' U' R2
* (y2) R' U2 R U R' U2' L U' R U L'
* (y2) x U2 r' U' r U2 l' U R' U' R2
* (y) R' U L' U2 R U' R' U2 L R U'
* U' L' U R' z R2 U R' U' R2 U D
* B2' R2 U' R2' u R2 D' R2' U R2
* R U' L' U R' U2 L U' L' U2' L
* R L d2 R' U' R d2 R' U L'
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)
* L' U R' U2 L U' R U L' U R' U2 L U' R
* L' U2 L U L' U2 R U' L U R'
* L' U' L F L' U' L U L F' L2 U L U

===J Permutation : b===

[[Image:j.gif]]

* R U2 R' U' R U2 L' U R' U' L
* R U2 R' U' R d2' R' U L' U' R
* y2 R L U2 L' U' L U2 R' U L' U'
* (R U R' F') (R U R' U' R') F (R2 U' R' U')
* y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2
* y' L' U' R U2 L' U L U2 L' R U
* y2 F2' R U R' y r2 y' R U' R U R2'
* L' U R U' L U2 R' U R U2' R'
* y2 r2 U' L' U r' U2 R B' R' U2
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)
* L' U R' U2 L U' L' U2 R L

===N Permutation : a===

[[Image:n1.gif]]

* R' U R2 B2 U R' B2' R U' B2 R2' U' R
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R
* y' L U' R U2 L' U R' L U' R U2 L' U R'
* R U' R' U l U F U' R' F' R U' R U l' U R'
* L U' L' U L F U F' L' U' L F' L F L' U L'
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2
* L U' R U2 L' U R' L U' R U2 L' U R' U'
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'
* R U' L d2 L' U L R' U' R U2 L' U R' U'
* F' R U R' U' R' F R2 F U' R' U' R U F' R'

===N Permutation : b===

[[Image:n.gif]]

* R U' R2' F2 U' R F2' R' U F2 R2 U R'
* z U' R D' R2' U R' (U' D) R D' R2 U R' D
* z (D' R U' R2' D R3 U) * 2
* L' U R' U2' L U' L' R U R' U2' L U' R U'
* R' U R U' R' F' U' F R U R' F R' F' R U' R
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'
* L' U L U' r' U' F' U L F L' U L' U' r U' L
* L U' R U2 L' U R' L U' R U2 L' U R' U'
* R' U R U' R' F' U' F R U R' U' R' d R U R'
* R' U L' U2 R U' L R' U L' U2 R U' L

===R Permutation : a===

[[Image:r1.gif]]

* y2 z U R2 U' R2 U F' U' R' U R U F U2 R
* y' R2 B' R' U' R' U R B R' U2 R U2 R'
* R U2 R' U2 R B' R' U' R U R B R2' U
* R U2 R' U2 R B' R' U' R U l U R2 F
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'
* R U2 R' U' R' F' R U2 R U2 R' F R U' R' U
* R U2 R D R' U R D' R' U' R' U R U R' U
* y2 L U2 L' U2 L F' L' U' L U L F L2 U
* R l U' l' U' R' U l U l' U2 R U2' R'

===R Permutation : b===

[[Image:r.gif]]

* R' U2 R U2 R' F R U R' U' R' F' R2' U'
* y R2 B2 U' R' U' R U R U B2 R U' R U
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'
* R' U2 R' D' R U' R' D R U R U' R' U' R U'
* (y x) R2 U l U R U' l' U' l U2 R' U2 R
* r' L' U r U L U' r' U' r U2 L' U2 L

===T Permutation===

[[Image:t.gif]]

* R U R' U' R' F R2 U' R' U' R U R' F'
* y2 L' U' L U L F' L2 U L U L' U' L F
* F R U' R' U R U R2 F' R U R U' R'
* L2 U' L2 D F2 R2 U R2 D' F2
* R2 U' R2 D B2 L2 U L2 D' B2
* R2' u' R2 U R2' y R2 u R2' U' R2
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'
* (z x2) U2 r' U2 r U2 x U2 r U2 r' U2

===V Permutation===

[[Image:V.gif]]

* R' U R' U' y x R' U' R2 x' U' R' U R' F R F
* R' U R' U' B' D B' D' B2 R' B' R B R
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U
* y L' U R U' L U L' U R' U' L U2 R U2 R'
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L
* y' R' U L U' R U R' U L' U' R U2 L U2 L'
* L U' R' U L' U' L U' R U L' U2 R' U2 R
* R' U R' d' R' F' R2 U' R' U R' F R F
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R
* R' U R' U' y R' F' R2 U' R' U R' F R F
* R' U R' U' y R' D R' D' R2 F' R' F R F
* R' U2 R U2 L U' R' U L' U L U' R U L'
* R' U2 R U2 L U' R' U r' F r U' R U r'

===Y Permutation===

[[Image:Y.gif]]

* F R U' R' U' R U R' F' R U R' U' R' F R F'
* R2 u R2' U R2 D' R' U' R F2' R' U R
* F R' F R2 U' R' U' R U R' F' R U R' U' F'
* R' U' R F2 R' U R d R2 U' R2' U' R2
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z
* y F' L' U L U L' U' L F L' U' L U L' F' L F
* F R U' R' F D R' y x R' U' R z R2 y L' d2
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U
* F R' F' R U R U' R2 U' R U l U' R' U
* z U2 R U R' U' R y R U L' U L U R' U'
* F R U' R' U' R d R U R' B' R U' R2
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'
* y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

PLL

2009-03-28T00:21:39Z

Jokerman5656: /* U Permutation : b */

PLL

2009-03-28T00:19:20Z

Jokerman5656: /* U Permutation : a */

OLL

2009-03-24T22:24:35Z

Jokerman5656: /* OLL 19 */

__NOTOC__
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods.

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.

==All edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 21 ===
[[Image:o21.gif]]

* R U R' U R U' R' U R U2 R'
* y R U2 R' U' R U R' U' R U' R'
* y F (R U R' U') (R U R' U') (R U R' U') F'

=== OLL 22 ===
[[Image:o22.gif]]

* R U2 R2' U' R2 U' R2' U2 R
* f (R U R' U') f' F (R U R' U') F'
* y2 L' U2 L2 U L2 U L2 U2 L'
* R U2 R2 U' R' U R U' R U' R' y M' U2 M
* R' U L U' R U' L' U' L U' L'
* y2 L U' R' U L' U R U R' U R
* y2 L' U R U' L U' R' U' R U' R'
* R U' L' U R' U L U L' U L

=== OLL 23 ===
[[Image:o23.gif]]

* l2 U' R D2 R' U R D2 R
* R2 D' R U2 R' D R U2 R
* R' U2 R F U' R' U' R U F'
* l2' U' z' U R2 U' L U R2 z' L
* y2 R' F2 R U2 R U2 R' F2 R U2 R'
* y2 R2 D R' U2 R D' R' U2 R'

=== OLL 24 ===
[[Image:o24.gif]]

* r U R' U' L' U R U' x'
* r U R' U' r' F R F'
* y' R U R2' U' R2 U' R2' U2' R U' R U' R'
* y2 R' F' r U R U' r' F
: Same as y2 l' U' L U R U' r' F
||

=== OLL 25 ===
[[Image:o25.gif]]

* y' F' r U R' U' r' F R
* y' x U R' U' L U R U' r'
* y2 R U2' R D R' U2 R D' R2'
* y R' F' L' F R F' L F
* y R' U' (R U R' F') (R U R' U') (R' F R2)
* l' U' L' U R U' L F x
* x' D R U R' D' R U' l'
* U r U R U' L' U R' U' x'
* x' U L' U' R U L U' l'
* y2 l' U R D' R' U' R D x'
* y2 x' L' U' R' U L U' R U
* R U2 R' U' R U R' U' R U R' U' R U' R'
* R U R' U R U' R' U R U' R' U R U2 R'

=== OLL 26 ===
[[Image:o26.gif]]

* y2 R' U' R U' R' U2 R
* y' R U2 R' U' R U' R'
* L' U R U' L U R'
* L' U' L U' L' U2 L

=== OLL 27 ===
[[Image:o27.gif]]

* R U R' U R U2 R'
* R U' L' U R' U' L
* y' R' U2 R U R' U R
* y L' U2 L U L' UL

|}

==No edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 1 ===
[[Image:o1.gif]]

* (R U2) (R2' F R F' U2') (R' F R F')
* R U B' R B R2 U' R' F R F'

=== OLL 2 ===
[[Image:o2.gif]]

* F (R U R' U') F' f (R U R' U') f'

=== OLL 3 ===
[[Image:o3.gif]]

* y f (R U R' U') f' U' F (R U R' U') F'
* y2 r' R2 U R' U r U2 r' U R' r

=== OLL 4 ===
[[Image:o4.gif]]

* f (R U R' U') f' U F (R U R' U') F'
* R' U2 x R' U R U' y R' U' R' U R' F
* y r' R U' r U2 r' U' R U' R2' r

||

=== OLL 17 ===
[[Image:o17.gif]]

* R U R' U R' F R F' U2 R' F R F'

=== OLL 18 ===
[[Image:o18.gif]]

* y' r U R' U R U2 r2' U' R U' R' U2 r
* y2 F R U R' d R' U2 R' F R F'
* R U2 R2 F R F' U2 M' U R U' r'

=== OLL 19 ===
[[Image:o19.gif]]

* r' U2 R U R' U r2 U2' R' U' R U' r'
* R' U2 F R U R' U' y' R2 U2 R B
* r' R U R U R' U' r R2' F R F'

=== OLL 20 ===
[[Image:o20.gif]]

* r' R U R U R' U' r2 R2' U R U' r'
* M U R U R' U' M2 U R U' r'
* M' U2 M' U2 M' U M U2 M U2 M
* M' U2 M U2 M' U M U2 M' U2 M
* M d r2 U M' U2 M U r2 S'
* M' U M' U M' U M' U M U M U M U M U
|}

=="P" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 31 ===
[[Image:o31.gif]]

* L' d' R d L U' L' B' L
* S' L' U' L U L F' L' f
* y x U R' U' l U R U R' U' R U' R'
* y2 R' U' F U R U' R' F' R
* L' U' B U L U' L' B' L

=== OLL 32 ===
[[Image:o32.gif]]

* R d L' d' R' U R B R'
* S R U R' U' R' F R f'
* y x' U' R U l' U' R' U' R U R' U R
* R U B' U' R' U R B R'
* y2 F U R U' F' r U R' U' r'

||

=== OLL 43 ===
[[Image:o43.gif]]

* f' L' U' L U f
* B' U' R' U R B
* y2 F' U' L' U L F
* U R U R' F' L' U' L F

=== OLL 44 ===
[[Image:o44.gif]]

* f R U R' U' f'
* y2 F U R U' R' F'
* y R U y' L U' L' B'

|}

=="W" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 36 ===
[[Image:o36.gif]]

* R' U' R U' R' U R U R B' R' B

||

=== OLL 38 ===
[[Image:o38.gif]]

* L U L' U L U' L' U' L' B L B'
* y2 R U R' U R U' R' U' R' F R F'

|}

=="L" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 53 ===
[[Image:o53.gif]]

* l' U' L U' L' U L U' L' U2 l
* y2 r' U' R U' R' U R U' R' U2 r
* y' r' U2 R U R' U' R U R' U r

=== OLL 54 ===
[[Image:o54.gif]]

* r U R' U R U' R' U R U2 r'

=== OLL 50 ===
[[Image:o50.gif]]

* y2 R' F R2 B' R2 F' R2 B R'
* r' U r2 U' r2' U' r2 U r'
* R B' R B R2' U2 F R' F' R
* y2 l' U l2 U' l2 U' l2 U l'
* r' U2 R2' U R2 U rR U2 R'
* y' [R U2 R' U' R U' R'] [F R U R' U' F']
||

=== OLL 47 ===
[[Image:o47.gif]]

* F' L' U' L U L' U' L U F
* R' U' x R' U R U' R' U R U' x' U R
* b' U' R' U R U' R' U R b

=== OLL 48 ===
[[Image:o48.gif]]

* F R U R' U' R U R' U' F'
* y2 f U R U' R' U R U' R' f'

=== OLL 49 ===
[[Image:o49.gif]]

* R B' R2 F R2 B R2 F' R
* l U' l2' U l2 U l2' U' l
* y2 r U' r2 U r2 U r2 U' r
* y2 R' F R' F' R2 d2 y' R' F R F'
* y2 r U2 R2' U' R2 U' r'R' U2 R

|}

=="C" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 34 ===
[[Image:o34.gif]]

* R U R' U' x D' R' U R E'
* R U R' d' l' U' L U r' R
* y2 F R U R' U' R' F' r U R U' r'
||

=== OLL 46 ===
[[Image:o46.gif]]

* R' U' R' F R F' U R
* R' U' l' U l F' U R
* R U l U' R' U F' l'
* y2 L F U' R U R' F' L'

|}

=="T" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 33 ===
[[Image:o33.gif]]

* R U R' U' R' F R F'

||

=== OLL 45 ===
[[Image:o45.gif]]

* F R U R' U' F'

|}

=="I" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 55 ===
[[Image:o55.gif]]

* R U2 R2 U' R U' R' U2 F R F'
** A 4x4x4 special: Note: Rra = (R + r) + (L + l)
::(y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'

=== OLL 56 ===
[[Image:o56.gif]]

* R B R' U L U' L' U L U' L' R B' R'
* r' U' r U' R' U R U' R' U R r' U r
* F R U R' U' R F' r U R' U' r'

||

=== OLL 51 ===
[[Image:o51.gif]]

* F U R U' R' U R U' R' F'
* y2 f R U R' U' R U R' U' f'

=== OLL 52 ===
[[Image:o52.gif]]

* R' U' R U' R' d R' U R B
* R U R' U R d' R U' R' F'

|}

==Square shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 5 ===
[[Image:o5.gif]]

* (r' U2) (R U R' U r)

||

=== OLL 6 ===
[[Image:o6.gif]]

* y2 (r U2) (R' U' R U') r'
* l U2 L' U' L U' l'
|}

==Big lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 39 ===
[[Image:o39.gif]]

* L F' L' U' L U F U' L'
* y2 f' L F L' U' L' U L S
* y2 R B' R' U' R U B U' R'

||

=== OLL 40 ===
[[Image:o40.gif]]

* R' F R U R' U' F' U R
* y2 f R' F' R U R U' R' S'
* y2 L' B L U L' U' B' U L

|}

==Small lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 7 ===
[[Image:o7.gif]]

* (r U R' U) (R U2 r')

=== OLL 8 ===
[[Image:o8.gif]]

* y2 r' U' R U' R' U2 r

||

=== OLL 11 ===
[[Image:o11.gif]]

* r' R2 U R' U R U2 R' U r R'
* y2 r U R' U R' F R F' R U2 r'

=== OLL 12 ===
[[Image:o12.gif]]

* F R U R' U' F' y F R U R' U' F'
* y F R U R2 F R y' R2 U R U2 R'

|}

==Fish shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 9 ===
[[Image:o9.gif]]

* y' R' U' R y' x' R U' R' F R U R' x
* y' R U R' U' R' F R2 U R' U' F'

=== OLL 10 ===
[[Image:o10.gif]]

* y' R U R' y R' F R U' R' F' R

||

=== OLL 35 ===
[[Image:o35.gif]]

* R U2 R2' F R F'R U2 R'

=== OLL 37 ===
[[Image:o37.gif]]

* x' U' R U l' U' R' U R
* l U' R' U y' R U R' U' z'
* y F R U' R' U' R U R' F'
* y R' F R F' U' F' U F
* R B' R' B U B U' B'

|}

==Knight move shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 13 ===
[[Image:o13.gif]]

* F U R U' R2 F' R U R U' R'
* y2 x' R U' R' F' R U R' x y R' U R
* y2 f R U R2 U' R' U R U' f'

=== OLL 14 ===
[[Image:o14.gif]]

* R' F R U R' F' R y' R U' R'
* y' R' U' y' R' U R2 B R' U' R' U R

||

=== OLL 15 ===
[[Image:o15.gif]]

* y2 R' F' R L' U' L U R' F R
* r' U' r R' U' R U r' U r

=== OLL 16 ===
[[Image:o16.gif]]

* y2 r U r' R U R' U' r U' r'
* y2 r U M U R' U' r U' r'

|}

==Awkward shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 29 ===
[[Image:o29.gif]]

* y2 R' F R F' R U2 R' d L' U' L
* y2 R2' U' R F R' U R2' U' R' F' R
* y R U R' U' R U' R' F' U' F R U R'
* y R' U2 R2 U R' U' R' U2 F R F'

=== OLL 30 ===
[[Image:o30.gif]]

* l U' R' U l' U2 d L U L'
* f R U R2 U' R' U R2 U' R' f'
* y2 F U R U' x' U R' D' R U' R'
* R2' U R' B' R U' R2' U R B R'

||

=== OLL 41 ===
[[Image:o41.gif]]

* R U' R' U2 R U y R U' R' U' F'
* y R U2' R' U' R U' R2 (y) L' U' L U F
* y2 F U R U' R' F' R' U2 R U R' U R
* y2 R U R' U R U2 R' F R U R' U' F'
* y2 R2 L z' l' U' R d L U' L l'

=== OLL 42 ===
[[Image:o42.gif]]

* L' U L U2 L' U' y' L' U L U F
* y R' U2 R U R' U R2 y R U R' U' F'
* y R' F R F' R' F R F' R U R' U' R U R'
* y2 L2 R' z r U L' d' R' U R' r

|}

==All Corners Oriented==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 28 ===
[[Image:o28.gif]]

* r U R' U' r' R U R U' R'
* F R U R' U' F' U2 F R U R' U' F'
* y2 M' U M U2 M' U M
* M U M' U2 M U M'

||

=== OLL 57 ===
[[Image:o57.gif]]

* R U R' U' r R' U R U' r'
* (x') M' U' R U M U' R' U (x)
* M U M U M U2 M' U M' U M' U2
* y M' U M' U M' U M' U M' U' M' U' M' U' M' U'

|}

[[Category:3x3x3 methods]]
[[Category:Cubing abbreviations and acronyms]]
[[Category:Algorithms]]

OLL

2009-03-24T22:24:12Z

Jokerman5656: /* OLL 3 */

__NOTOC__
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods.

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.

==All edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 21 ===
[[Image:o21.gif]]

* R U R' U R U' R' U R U2 R'
* y R U2 R' U' R U R' U' R U' R'
* y F (R U R' U') (R U R' U') (R U R' U') F'

=== OLL 22 ===
[[Image:o22.gif]]

* R U2 R2' U' R2 U' R2' U2 R
* f (R U R' U') f' F (R U R' U') F'
* y2 L' U2 L2 U L2 U L2 U2 L'
* R U2 R2 U' R' U R U' R U' R' y M' U2 M
* R' U L U' R U' L' U' L U' L'
* y2 L U' R' U L' U R U R' U R
* y2 L' U R U' L U' R' U' R U' R'
* R U' L' U R' U L U L' U L

=== OLL 23 ===
[[Image:o23.gif]]

* l2 U' R D2 R' U R D2 R
* R2 D' R U2 R' D R U2 R
* R' U2 R F U' R' U' R U F'
* l2' U' z' U R2 U' L U R2 z' L
* y2 R' F2 R U2 R U2 R' F2 R U2 R'
* y2 R2 D R' U2 R D' R' U2 R'

=== OLL 24 ===
[[Image:o24.gif]]

* r U R' U' L' U R U' x'
* r U R' U' r' F R F'
* y' R U R2' U' R2 U' R2' U2' R U' R U' R'
* y2 R' F' r U R U' r' F
: Same as y2 l' U' L U R U' r' F
||

=== OLL 25 ===
[[Image:o25.gif]]

* y' F' r U R' U' r' F R
* y' x U R' U' L U R U' r'
* y2 R U2' R D R' U2 R D' R2'
* y R' F' L' F R F' L F
* y R' U' (R U R' F') (R U R' U') (R' F R2)
* l' U' L' U R U' L F x
* x' D R U R' D' R U' l'
* U r U R U' L' U R' U' x'
* x' U L' U' R U L U' l'
* y2 l' U R D' R' U' R D x'
* y2 x' L' U' R' U L U' R U
* R U2 R' U' R U R' U' R U R' U' R U' R'
* R U R' U R U' R' U R U' R' U R U2 R'

=== OLL 26 ===
[[Image:o26.gif]]

* y2 R' U' R U' R' U2 R
* y' R U2 R' U' R U' R'
* L' U R U' L U R'
* L' U' L U' L' U2 L

=== OLL 27 ===
[[Image:o27.gif]]

* R U R' U R U2 R'
* R U' L' U R' U' L
* y' R' U2 R U R' U R
* y L' U2 L U L' UL

|}

==No edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 1 ===
[[Image:o1.gif]]

* (R U2) (R2' F R F' U2') (R' F R F')
* R U B' R B R2 U' R' F R F'

=== OLL 2 ===
[[Image:o2.gif]]

* F (R U R' U') F' f (R U R' U') f'

=== OLL 3 ===
[[Image:o3.gif]]

* y f (R U R' U') f' U' F (R U R' U') F'
* y2 r' R2 U R' U r U2 r' U R' r

=== OLL 4 ===
[[Image:o4.gif]]

* f (R U R' U') f' U F (R U R' U') F'
* R' U2 x R' U R U' y R' U' R' U R' F
* y r' R U' r U2 r' U' R U' R2' r

||

=== OLL 17 ===
[[Image:o17.gif]]

* R U R' U R' F R F' U2 R' F R F'

=== OLL 18 ===
[[Image:o18.gif]]

* y' r U R' U R U2 r2' U' R U' R' U2 r
* y2 F R U R' d R' U2 R' F R F'
* R U2 R2 F R F' U2 M' U R U' r'

=== OLL 19 ===
[[Image:o19.gif]]

* r' U2 R U R' U r2 U2' R' U' R U' r'
* R' U2 F R U R' U' y' R2 U2 R B

=== OLL 20 ===
[[Image:o20.gif]]

* r' R U R U R' U' r2 R2' U R U' r'
* M U R U R' U' M2 U R U' r'
* M' U2 M' U2 M' U M U2 M U2 M
* M' U2 M U2 M' U M U2 M' U2 M
* M d r2 U M' U2 M U r2 S'
* M' U M' U M' U M' U M U M U M U M U
|}

=="P" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 31 ===
[[Image:o31.gif]]

* L' d' R d L U' L' B' L
* S' L' U' L U L F' L' f
* y x U R' U' l U R U R' U' R U' R'
* y2 R' U' F U R U' R' F' R
* L' U' B U L U' L' B' L

=== OLL 32 ===
[[Image:o32.gif]]

* R d L' d' R' U R B R'
* S R U R' U' R' F R f'
* y x' U' R U l' U' R' U' R U R' U R
* R U B' U' R' U R B R'
* y2 F U R U' F' r U R' U' r'

||

=== OLL 43 ===
[[Image:o43.gif]]

* f' L' U' L U f
* B' U' R' U R B
* y2 F' U' L' U L F
* U R U R' F' L' U' L F

=== OLL 44 ===
[[Image:o44.gif]]

* f R U R' U' f'
* y2 F U R U' R' F'
* y R U y' L U' L' B'

|}

=="W" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 36 ===
[[Image:o36.gif]]

* R' U' R U' R' U R U R B' R' B

||

=== OLL 38 ===
[[Image:o38.gif]]

* L U L' U L U' L' U' L' B L B'
* y2 R U R' U R U' R' U' R' F R F'

|}

=="L" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 53 ===
[[Image:o53.gif]]

* l' U' L U' L' U L U' L' U2 l
* y2 r' U' R U' R' U R U' R' U2 r
* y' r' U2 R U R' U' R U R' U r

=== OLL 54 ===
[[Image:o54.gif]]

* r U R' U R U' R' U R U2 r'

=== OLL 50 ===
[[Image:o50.gif]]

* y2 R' F R2 B' R2 F' R2 B R'
* r' U r2 U' r2' U' r2 U r'
* R B' R B R2' U2 F R' F' R
* y2 l' U l2 U' l2 U' l2 U l'
* r' U2 R2' U R2 U rR U2 R'
* y' [R U2 R' U' R U' R'] [F R U R' U' F']
||

=== OLL 47 ===
[[Image:o47.gif]]

* F' L' U' L U L' U' L U F
* R' U' x R' U R U' R' U R U' x' U R
* b' U' R' U R U' R' U R b

=== OLL 48 ===
[[Image:o48.gif]]

* F R U R' U' R U R' U' F'
* y2 f U R U' R' U R U' R' f'

=== OLL 49 ===
[[Image:o49.gif]]

* R B' R2 F R2 B R2 F' R
* l U' l2' U l2 U l2' U' l
* y2 r U' r2 U r2 U r2 U' r
* y2 R' F R' F' R2 d2 y' R' F R F'
* y2 r U2 R2' U' R2 U' r'R' U2 R

|}

=="C" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 34 ===
[[Image:o34.gif]]

* R U R' U' x D' R' U R E'
* R U R' d' l' U' L U r' R
* y2 F R U R' U' R' F' r U R U' r'
||

=== OLL 46 ===
[[Image:o46.gif]]

* R' U' R' F R F' U R
* R' U' l' U l F' U R
* R U l U' R' U F' l'
* y2 L F U' R U R' F' L'

|}

=="T" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 33 ===
[[Image:o33.gif]]

* R U R' U' R' F R F'

||

=== OLL 45 ===
[[Image:o45.gif]]

* F R U R' U' F'

|}

=="I" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 55 ===
[[Image:o55.gif]]

* R U2 R2 U' R U' R' U2 F R F'
** A 4x4x4 special: Note: Rra = (R + r) + (L + l)
::(y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'

=== OLL 56 ===
[[Image:o56.gif]]

* R B R' U L U' L' U L U' L' R B' R'
* r' U' r U' R' U R U' R' U R r' U r
* F R U R' U' R F' r U R' U' r'

||

=== OLL 51 ===
[[Image:o51.gif]]

* F U R U' R' U R U' R' F'
* y2 f R U R' U' R U R' U' f'

=== OLL 52 ===
[[Image:o52.gif]]

* R' U' R U' R' d R' U R B
* R U R' U R d' R U' R' F'

|}

==Square shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 5 ===
[[Image:o5.gif]]

* (r' U2) (R U R' U r)

||

=== OLL 6 ===
[[Image:o6.gif]]

* y2 (r U2) (R' U' R U') r'
* l U2 L' U' L U' l'
|}

==Big lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 39 ===
[[Image:o39.gif]]

* L F' L' U' L U F U' L'
* y2 f' L F L' U' L' U L S
* y2 R B' R' U' R U B U' R'

||

=== OLL 40 ===
[[Image:o40.gif]]

* R' F R U R' U' F' U R
* y2 f R' F' R U R U' R' S'
* y2 L' B L U L' U' B' U L

|}

==Small lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 7 ===
[[Image:o7.gif]]

* (r U R' U) (R U2 r')

=== OLL 8 ===
[[Image:o8.gif]]

* y2 r' U' R U' R' U2 r

||

=== OLL 11 ===
[[Image:o11.gif]]

* r' R2 U R' U R U2 R' U r R'
* y2 r U R' U R' F R F' R U2 r'

=== OLL 12 ===
[[Image:o12.gif]]

* F R U R' U' F' y F R U R' U' F'
* y F R U R2 F R y' R2 U R U2 R'

|}

==Fish shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 9 ===
[[Image:o9.gif]]

* y' R' U' R y' x' R U' R' F R U R' x
* y' R U R' U' R' F R2 U R' U' F'

=== OLL 10 ===
[[Image:o10.gif]]

* y' R U R' y R' F R U' R' F' R

||

=== OLL 35 ===
[[Image:o35.gif]]

* R U2 R2' F R F'R U2 R'

=== OLL 37 ===
[[Image:o37.gif]]

* x' U' R U l' U' R' U R
* l U' R' U y' R U R' U' z'
* y F R U' R' U' R U R' F'
* y R' F R F' U' F' U F
* R B' R' B U B U' B'

|}

==Knight move shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 13 ===
[[Image:o13.gif]]

* F U R U' R2 F' R U R U' R'
* y2 x' R U' R' F' R U R' x y R' U R
* y2 f R U R2 U' R' U R U' f'

=== OLL 14 ===
[[Image:o14.gif]]

* R' F R U R' F' R y' R U' R'
* y' R' U' y' R' U R2 B R' U' R' U R

||

=== OLL 15 ===
[[Image:o15.gif]]

* y2 R' F' R L' U' L U R' F R
* r' U' r R' U' R U r' U r

=== OLL 16 ===
[[Image:o16.gif]]

* y2 r U r' R U R' U' r U' r'
* y2 r U M U R' U' r U' r'

|}

==Awkward shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 29 ===
[[Image:o29.gif]]

* y2 R' F R F' R U2 R' d L' U' L
* y2 R2' U' R F R' U R2' U' R' F' R
* y R U R' U' R U' R' F' U' F R U R'
* y R' U2 R2 U R' U' R' U2 F R F'

=== OLL 30 ===
[[Image:o30.gif]]

* l U' R' U l' U2 d L U L'
* f R U R2 U' R' U R2 U' R' f'
* y2 F U R U' x' U R' D' R U' R'
* R2' U R' B' R U' R2' U R B R'

||

=== OLL 41 ===
[[Image:o41.gif]]

* R U' R' U2 R U y R U' R' U' F'
* y R U2' R' U' R U' R2 (y) L' U' L U F
* y2 F U R U' R' F' R' U2 R U R' U R
* y2 R U R' U R U2 R' F R U R' U' F'
* y2 R2 L z' l' U' R d L U' L l'

=== OLL 42 ===
[[Image:o42.gif]]

* L' U L U2 L' U' y' L' U L U F
* y R' U2 R U R' U R2 y R U R' U' F'
* y R' F R F' R' F R F' R U R' U' R U R'
* y2 L2 R' z r U L' d' R' U R' r

|}

==All Corners Oriented==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 28 ===
[[Image:o28.gif]]

* r U R' U' r' R U R U' R'
* F R U R' U' F' U2 F R U R' U' F'
* y2 M' U M U2 M' U M
* M U M' U2 M U M'

||

=== OLL 57 ===
[[Image:o57.gif]]

* R U R' U' r R' U R U' r'
* (x') M' U' R U M U' R' U (x)
* M U M U M U2 M' U M' U M' U2
* y M' U M' U M' U M' U M' U' M' U' M' U' M' U'

|}

[[Category:3x3x3 methods]]
[[Category:Cubing abbreviations and acronyms]]
[[Category:Algorithms]]

OLL

2009-03-24T22:21:38Z

Jokerman5656: /* OLL 18 */

__NOTOC__
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods.

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.

==All edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 21 ===
[[Image:o21.gif]]

* R U R' U R U' R' U R U2 R'
* y R U2 R' U' R U R' U' R U' R'
* y F (R U R' U') (R U R' U') (R U R' U') F'

=== OLL 22 ===
[[Image:o22.gif]]

* R U2 R2' U' R2 U' R2' U2 R
* f (R U R' U') f' F (R U R' U') F'
* y2 L' U2 L2 U L2 U L2 U2 L'
* R U2 R2 U' R' U R U' R U' R' y M' U2 M
* R' U L U' R U' L' U' L U' L'
* y2 L U' R' U L' U R U R' U R
* y2 L' U R U' L U' R' U' R U' R'
* R U' L' U R' U L U L' U L

=== OLL 23 ===
[[Image:o23.gif]]

* l2 U' R D2 R' U R D2 R
* R2 D' R U2 R' D R U2 R
* R' U2 R F U' R' U' R U F'
* l2' U' z' U R2 U' L U R2 z' L
* y2 R' F2 R U2 R U2 R' F2 R U2 R'
* y2 R2 D R' U2 R D' R' U2 R'

=== OLL 24 ===
[[Image:o24.gif]]

* r U R' U' L' U R U' x'
* r U R' U' r' F R F'
* y' R U R2' U' R2 U' R2' U2' R U' R U' R'
* y2 R' F' r U R U' r' F
: Same as y2 l' U' L U R U' r' F
||

=== OLL 25 ===
[[Image:o25.gif]]

* y' F' r U R' U' r' F R
* y' x U R' U' L U R U' r'
* y2 R U2' R D R' U2 R D' R2'
* y R' F' L' F R F' L F
* y R' U' (R U R' F') (R U R' U') (R' F R2)
* l' U' L' U R U' L F x
* x' D R U R' D' R U' l'
* U r U R U' L' U R' U' x'
* x' U L' U' R U L U' l'
* y2 l' U R D' R' U' R D x'
* y2 x' L' U' R' U L U' R U
* R U2 R' U' R U R' U' R U R' U' R U' R'
* R U R' U R U' R' U R U' R' U R U2 R'

=== OLL 26 ===
[[Image:o26.gif]]

* y2 R' U' R U' R' U2 R
* y' R U2 R' U' R U' R'
* L' U R U' L U R'
* L' U' L U' L' U2 L

=== OLL 27 ===
[[Image:o27.gif]]

* R U R' U R U2 R'
* R U' L' U R' U' L
* y' R' U2 R U R' U R
* y L' U2 L U L' UL

|}

==No edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 1 ===
[[Image:o1.gif]]

* (R U2) (R2' F R F' U2') (R' F R F')
* R U B' R B R2 U' R' F R F'

=== OLL 2 ===
[[Image:o2.gif]]

* F (R U R' U') F' f (R U R' U') f'

=== OLL 3 ===
[[Image:o3.gif]]

* y f (R U R' U') f' U' F (R U R' U') F'
* y2 r' R2 U R' U r U2 r' U R' r
* r' R U R U R' U' r R2' F R F'

=== OLL 4 ===
[[Image:o4.gif]]

* f (R U R' U') f' U F (R U R' U') F'
* R' U2 x R' U R U' y R' U' R' U R' F
* y r' R U' r U2 r' U' R U' R2' r

||

=== OLL 17 ===
[[Image:o17.gif]]

* R U R' U R' F R F' U2 R' F R F'

=== OLL 18 ===
[[Image:o18.gif]]

* y' r U R' U R U2 r2' U' R U' R' U2 r
* y2 F R U R' d R' U2 R' F R F'
* R U2 R2 F R F' U2 M' U R U' r'

=== OLL 19 ===
[[Image:o19.gif]]

* r' U2 R U R' U r2 U2' R' U' R U' r'
* R' U2 F R U R' U' y' R2 U2 R B

=== OLL 20 ===
[[Image:o20.gif]]

* r' R U R U R' U' r2 R2' U R U' r'
* M U R U R' U' M2 U R U' r'
* M' U2 M' U2 M' U M U2 M U2 M
* M' U2 M U2 M' U M U2 M' U2 M
* M d r2 U M' U2 M U r2 S'
* M' U M' U M' U M' U M U M U M U M U
|}

=="P" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 31 ===
[[Image:o31.gif]]

* L' d' R d L U' L' B' L
* S' L' U' L U L F' L' f
* y x U R' U' l U R U R' U' R U' R'
* y2 R' U' F U R U' R' F' R
* L' U' B U L U' L' B' L

=== OLL 32 ===
[[Image:o32.gif]]

* R d L' d' R' U R B R'
* S R U R' U' R' F R f'
* y x' U' R U l' U' R' U' R U R' U R
* R U B' U' R' U R B R'
* y2 F U R U' F' r U R' U' r'

||

=== OLL 43 ===
[[Image:o43.gif]]

* f' L' U' L U f
* B' U' R' U R B
* y2 F' U' L' U L F
* U R U R' F' L' U' L F

=== OLL 44 ===
[[Image:o44.gif]]

* f R U R' U' f'
* y2 F U R U' R' F'
* y R U y' L U' L' B'

|}

=="W" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 36 ===
[[Image:o36.gif]]

* R' U' R U' R' U R U R B' R' B

||

=== OLL 38 ===
[[Image:o38.gif]]

* L U L' U L U' L' U' L' B L B'
* y2 R U R' U R U' R' U' R' F R F'

|}

=="L" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 53 ===
[[Image:o53.gif]]

* l' U' L U' L' U L U' L' U2 l
* y2 r' U' R U' R' U R U' R' U2 r
* y' r' U2 R U R' U' R U R' U r

=== OLL 54 ===
[[Image:o54.gif]]

* r U R' U R U' R' U R U2 r'

=== OLL 50 ===
[[Image:o50.gif]]

* y2 R' F R2 B' R2 F' R2 B R'
* r' U r2 U' r2' U' r2 U r'
* R B' R B R2' U2 F R' F' R
* y2 l' U l2 U' l2 U' l2 U l'
* r' U2 R2' U R2 U rR U2 R'
* y' [R U2 R' U' R U' R'] [F R U R' U' F']
||

=== OLL 47 ===
[[Image:o47.gif]]

* F' L' U' L U L' U' L U F
* R' U' x R' U R U' R' U R U' x' U R
* b' U' R' U R U' R' U R b

=== OLL 48 ===
[[Image:o48.gif]]

* F R U R' U' R U R' U' F'
* y2 f U R U' R' U R U' R' f'

=== OLL 49 ===
[[Image:o49.gif]]

* R B' R2 F R2 B R2 F' R
* l U' l2' U l2 U l2' U' l
* y2 r U' r2 U r2 U r2 U' r
* y2 R' F R' F' R2 d2 y' R' F R F'
* y2 r U2 R2' U' R2 U' r'R' U2 R

|}

=="C" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 34 ===
[[Image:o34.gif]]

* R U R' U' x D' R' U R E'
* R U R' d' l' U' L U r' R
* y2 F R U R' U' R' F' r U R U' r'
||

=== OLL 46 ===
[[Image:o46.gif]]

* R' U' R' F R F' U R
* R' U' l' U l F' U R
* R U l U' R' U F' l'
* y2 L F U' R U R' F' L'

|}

=="T" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 33 ===
[[Image:o33.gif]]

* R U R' U' R' F R F'

||

=== OLL 45 ===
[[Image:o45.gif]]

* F R U R' U' F'

|}

=="I" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 55 ===
[[Image:o55.gif]]

* R U2 R2 U' R U' R' U2 F R F'
** A 4x4x4 special: Note: Rra = (R + r) + (L + l)
::(y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'

=== OLL 56 ===
[[Image:o56.gif]]

* R B R' U L U' L' U L U' L' R B' R'
* r' U' r U' R' U R U' R' U R r' U r
* F R U R' U' R F' r U R' U' r'

||

=== OLL 51 ===
[[Image:o51.gif]]

* F U R U' R' U R U' R' F'
* y2 f R U R' U' R U R' U' f'

=== OLL 52 ===
[[Image:o52.gif]]

* R' U' R U' R' d R' U R B
* R U R' U R d' R U' R' F'

|}

==Square shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 5 ===
[[Image:o5.gif]]

* (r' U2) (R U R' U r)

||

=== OLL 6 ===
[[Image:o6.gif]]

* y2 (r U2) (R' U' R U') r'
* l U2 L' U' L U' l'
|}

==Big lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 39 ===
[[Image:o39.gif]]

* L F' L' U' L U F U' L'
* y2 f' L F L' U' L' U L S
* y2 R B' R' U' R U B U' R'

||

=== OLL 40 ===
[[Image:o40.gif]]

* R' F R U R' U' F' U R
* y2 f R' F' R U R U' R' S'
* y2 L' B L U L' U' B' U L

|}

==Small lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 7 ===
[[Image:o7.gif]]

* (r U R' U) (R U2 r')

=== OLL 8 ===
[[Image:o8.gif]]

* y2 r' U' R U' R' U2 r

||

=== OLL 11 ===
[[Image:o11.gif]]

* r' R2 U R' U R U2 R' U r R'
* y2 r U R' U R' F R F' R U2 r'

=== OLL 12 ===
[[Image:o12.gif]]

* F R U R' U' F' y F R U R' U' F'
* y F R U R2 F R y' R2 U R U2 R'

|}

==Fish shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 9 ===
[[Image:o9.gif]]

* y' R' U' R y' x' R U' R' F R U R' x
* y' R U R' U' R' F R2 U R' U' F'

=== OLL 10 ===
[[Image:o10.gif]]

* y' R U R' y R' F R U' R' F' R

||

=== OLL 35 ===
[[Image:o35.gif]]

* R U2 R2' F R F'R U2 R'

=== OLL 37 ===
[[Image:o37.gif]]

* x' U' R U l' U' R' U R
* l U' R' U y' R U R' U' z'
* y F R U' R' U' R U R' F'
* y R' F R F' U' F' U F
* R B' R' B U B U' B'

|}

==Knight move shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 13 ===
[[Image:o13.gif]]

* F U R U' R2 F' R U R U' R'
* y2 x' R U' R' F' R U R' x y R' U R
* y2 f R U R2 U' R' U R U' f'

=== OLL 14 ===
[[Image:o14.gif]]

* R' F R U R' F' R y' R U' R'
* y' R' U' y' R' U R2 B R' U' R' U R

||

=== OLL 15 ===
[[Image:o15.gif]]

* y2 R' F' R L' U' L U R' F R
* r' U' r R' U' R U r' U r

=== OLL 16 ===
[[Image:o16.gif]]

* y2 r U r' R U R' U' r U' r'
* y2 r U M U R' U' r U' r'

|}

==Awkward shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 29 ===
[[Image:o29.gif]]

* y2 R' F R F' R U2 R' d L' U' L
* y2 R2' U' R F R' U R2' U' R' F' R
* y R U R' U' R U' R' F' U' F R U R'
* y R' U2 R2 U R' U' R' U2 F R F'

=== OLL 30 ===
[[Image:o30.gif]]

* l U' R' U l' U2 d L U L'
* f R U R2 U' R' U R2 U' R' f'
* y2 F U R U' x' U R' D' R U' R'
* R2' U R' B' R U' R2' U R B R'

||

=== OLL 41 ===
[[Image:o41.gif]]

* R U' R' U2 R U y R U' R' U' F'
* y R U2' R' U' R U' R2 (y) L' U' L U F
* y2 F U R U' R' F' R' U2 R U R' U R
* y2 R U R' U R U2 R' F R U R' U' F'
* y2 R2 L z' l' U' R d L U' L l'

=== OLL 42 ===
[[Image:o42.gif]]

* L' U L U2 L' U' y' L' U L U F
* y R' U2 R U R' U R2 y R U R' U' F'
* y R' F R F' R' F R F' R U R' U' R U R'
* y2 L2 R' z r U L' d' R' U R' r

|}

==All Corners Oriented==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 28 ===
[[Image:o28.gif]]

* r U R' U' r' R U R U' R'
* F R U R' U' F' U2 F R U R' U' F'
* y2 M' U M U2 M' U M
* M U M' U2 M U M'

||

=== OLL 57 ===
[[Image:o57.gif]]

* R U R' U' r R' U R U' r'
* (x') M' U' R U M U' R' U (x)
* M U M U M U2 M' U M' U M' U2
* y M' U M' U M' U M' U M' U' M' U' M' U' M' U'

|}

[[Category:3x3x3 methods]]
[[Category:Cubing abbreviations and acronyms]]
[[Category:Algorithms]]

OLL

2009-03-24T22:21:22Z

Jokerman5656: /* OLL 2 */

__NOTOC__
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods.

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.

==All edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 21 ===
[[Image:o21.gif]]

* R U R' U R U' R' U R U2 R'
* y R U2 R' U' R U R' U' R U' R'
* y F (R U R' U') (R U R' U') (R U R' U') F'

=== OLL 22 ===
[[Image:o22.gif]]

* R U2 R2' U' R2 U' R2' U2 R
* f (R U R' U') f' F (R U R' U') F'
* y2 L' U2 L2 U L2 U L2 U2 L'
* R U2 R2 U' R' U R U' R U' R' y M' U2 M
* R' U L U' R U' L' U' L U' L'
* y2 L U' R' U L' U R U R' U R
* y2 L' U R U' L U' R' U' R U' R'
* R U' L' U R' U L U L' U L

=== OLL 23 ===
[[Image:o23.gif]]

* l2 U' R D2 R' U R D2 R
* R2 D' R U2 R' D R U2 R
* R' U2 R F U' R' U' R U F'
* l2' U' z' U R2 U' L U R2 z' L
* y2 R' F2 R U2 R U2 R' F2 R U2 R'
* y2 R2 D R' U2 R D' R' U2 R'

=== OLL 24 ===
[[Image:o24.gif]]

* r U R' U' L' U R U' x'
* r U R' U' r' F R F'
* y' R U R2' U' R2 U' R2' U2' R U' R U' R'
* y2 R' F' r U R U' r' F
: Same as y2 l' U' L U R U' r' F
||

=== OLL 25 ===
[[Image:o25.gif]]

* y' F' r U R' U' r' F R
* y' x U R' U' L U R U' r'
* y2 R U2' R D R' U2 R D' R2'
* y R' F' L' F R F' L F
* y R' U' (R U R' F') (R U R' U') (R' F R2)
* l' U' L' U R U' L F x
* x' D R U R' D' R U' l'
* U r U R U' L' U R' U' x'
* x' U L' U' R U L U' l'
* y2 l' U R D' R' U' R D x'
* y2 x' L' U' R' U L U' R U
* R U2 R' U' R U R' U' R U R' U' R U' R'
* R U R' U R U' R' U R U' R' U R U2 R'

=== OLL 26 ===
[[Image:o26.gif]]

* y2 R' U' R U' R' U2 R
* y' R U2 R' U' R U' R'
* L' U R U' L U R'
* L' U' L U' L' U2 L

=== OLL 27 ===
[[Image:o27.gif]]

* R U R' U R U2 R'
* R U' L' U R' U' L
* y' R' U2 R U R' U R
* y L' U2 L U L' UL

|}

==No edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 1 ===
[[Image:o1.gif]]

* (R U2) (R2' F R F' U2') (R' F R F')
* R U B' R B R2 U' R' F R F'

=== OLL 2 ===
[[Image:o2.gif]]

* F (R U R' U') F' f (R U R' U') f'

=== OLL 3 ===
[[Image:o3.gif]]

* y f (R U R' U') f' U' F (R U R' U') F'
* y2 r' R2 U R' U r U2 r' U R' r
* r' R U R U R' U' r R2' F R F'

=== OLL 4 ===
[[Image:o4.gif]]

* f (R U R' U') f' U F (R U R' U') F'
* R' U2 x R' U R U' y R' U' R' U R' F
* y r' R U' r U2 r' U' R U' R2' r

||

=== OLL 17 ===
[[Image:o17.gif]]

* R U R' U R' F R F' U2 R' F R F'

=== OLL 18 ===
[[Image:o18.gif]]

* y' r U R' U R U2 r2' U' R U' R' U2 r
* y2 F R U R' d R' U2 R' F R F'

=== OLL 19 ===
[[Image:o19.gif]]

* r' U2 R U R' U r2 U2' R' U' R U' r'
* R' U2 F R U R' U' y' R2 U2 R B

=== OLL 20 ===
[[Image:o20.gif]]

* r' R U R U R' U' r2 R2' U R U' r'
* M U R U R' U' M2 U R U' r'
* M' U2 M' U2 M' U M U2 M U2 M
* M' U2 M U2 M' U M U2 M' U2 M
* M d r2 U M' U2 M U r2 S'
* M' U M' U M' U M' U M U M U M U M U
|}

=="P" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 31 ===
[[Image:o31.gif]]

* L' d' R d L U' L' B' L
* S' L' U' L U L F' L' f
* y x U R' U' l U R U R' U' R U' R'
* y2 R' U' F U R U' R' F' R
* L' U' B U L U' L' B' L

=== OLL 32 ===
[[Image:o32.gif]]

* R d L' d' R' U R B R'
* S R U R' U' R' F R f'
* y x' U' R U l' U' R' U' R U R' U R
* R U B' U' R' U R B R'
* y2 F U R U' F' r U R' U' r'

||

=== OLL 43 ===
[[Image:o43.gif]]

* f' L' U' L U f
* B' U' R' U R B
* y2 F' U' L' U L F
* U R U R' F' L' U' L F

=== OLL 44 ===
[[Image:o44.gif]]

* f R U R' U' f'
* y2 F U R U' R' F'
* y R U y' L U' L' B'

|}

=="W" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 36 ===
[[Image:o36.gif]]

* R' U' R U' R' U R U R B' R' B

||

=== OLL 38 ===
[[Image:o38.gif]]

* L U L' U L U' L' U' L' B L B'
* y2 R U R' U R U' R' U' R' F R F'

|}

=="L" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 53 ===
[[Image:o53.gif]]

* l' U' L U' L' U L U' L' U2 l
* y2 r' U' R U' R' U R U' R' U2 r
* y' r' U2 R U R' U' R U R' U r

=== OLL 54 ===
[[Image:o54.gif]]

* r U R' U R U' R' U R U2 r'

=== OLL 50 ===
[[Image:o50.gif]]

* y2 R' F R2 B' R2 F' R2 B R'
* r' U r2 U' r2' U' r2 U r'
* R B' R B R2' U2 F R' F' R
* y2 l' U l2 U' l2 U' l2 U l'
* r' U2 R2' U R2 U rR U2 R'
* y' [R U2 R' U' R U' R'] [F R U R' U' F']
||

=== OLL 47 ===
[[Image:o47.gif]]

* F' L' U' L U L' U' L U F
* R' U' x R' U R U' R' U R U' x' U R
* b' U' R' U R U' R' U R b

=== OLL 48 ===
[[Image:o48.gif]]

* F R U R' U' R U R' U' F'
* y2 f U R U' R' U R U' R' f'

=== OLL 49 ===
[[Image:o49.gif]]

* R B' R2 F R2 B R2 F' R
* l U' l2' U l2 U l2' U' l
* y2 r U' r2 U r2 U r2 U' r
* y2 R' F R' F' R2 d2 y' R' F R F'
* y2 r U2 R2' U' R2 U' r'R' U2 R

|}

=="C" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 34 ===
[[Image:o34.gif]]

* R U R' U' x D' R' U R E'
* R U R' d' l' U' L U r' R
* y2 F R U R' U' R' F' r U R U' r'
||

=== OLL 46 ===
[[Image:o46.gif]]

* R' U' R' F R F' U R
* R' U' l' U l F' U R
* R U l U' R' U F' l'
* y2 L F U' R U R' F' L'

|}

=="T" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 33 ===
[[Image:o33.gif]]

* R U R' U' R' F R F'

||

=== OLL 45 ===
[[Image:o45.gif]]

* F R U R' U' F'

|}

=="I" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 55 ===
[[Image:o55.gif]]

* R U2 R2 U' R U' R' U2 F R F'
** A 4x4x4 special: Note: Rra = (R + r) + (L + l)
::(y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'

=== OLL 56 ===
[[Image:o56.gif]]

* R B R' U L U' L' U L U' L' R B' R'
* r' U' r U' R' U R U' R' U R r' U r
* F R U R' U' R F' r U R' U' r'

||

=== OLL 51 ===
[[Image:o51.gif]]

* F U R U' R' U R U' R' F'
* y2 f R U R' U' R U R' U' f'

=== OLL 52 ===
[[Image:o52.gif]]

* R' U' R U' R' d R' U R B
* R U R' U R d' R U' R' F'

|}

==Square shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 5 ===
[[Image:o5.gif]]

* (r' U2) (R U R' U r)

||

=== OLL 6 ===
[[Image:o6.gif]]

* y2 (r U2) (R' U' R U') r'
* l U2 L' U' L U' l'
|}

==Big lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 39 ===
[[Image:o39.gif]]

* L F' L' U' L U F U' L'
* y2 f' L F L' U' L' U L S
* y2 R B' R' U' R U B U' R'

||

=== OLL 40 ===
[[Image:o40.gif]]

* R' F R U R' U' F' U R
* y2 f R' F' R U R U' R' S'
* y2 L' B L U L' U' B' U L

|}

==Small lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 7 ===
[[Image:o7.gif]]

* (r U R' U) (R U2 r')

=== OLL 8 ===
[[Image:o8.gif]]

* y2 r' U' R U' R' U2 r

||

=== OLL 11 ===
[[Image:o11.gif]]

* r' R2 U R' U R U2 R' U r R'
* y2 r U R' U R' F R F' R U2 r'

=== OLL 12 ===
[[Image:o12.gif]]

* F R U R' U' F' y F R U R' U' F'
* y F R U R2 F R y' R2 U R U2 R'

|}

==Fish shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 9 ===
[[Image:o9.gif]]

* y' R' U' R y' x' R U' R' F R U R' x
* y' R U R' U' R' F R2 U R' U' F'

=== OLL 10 ===
[[Image:o10.gif]]

* y' R U R' y R' F R U' R' F' R

||

=== OLL 35 ===
[[Image:o35.gif]]

* R U2 R2' F R F'R U2 R'

=== OLL 37 ===
[[Image:o37.gif]]

* x' U' R U l' U' R' U R
* l U' R' U y' R U R' U' z'
* y F R U' R' U' R U R' F'
* y R' F R F' U' F' U F
* R B' R' B U B U' B'

|}

==Knight move shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 13 ===
[[Image:o13.gif]]

* F U R U' R2 F' R U R U' R'
* y2 x' R U' R' F' R U R' x y R' U R
* y2 f R U R2 U' R' U R U' f'

=== OLL 14 ===
[[Image:o14.gif]]

* R' F R U R' F' R y' R U' R'
* y' R' U' y' R' U R2 B R' U' R' U R

||

=== OLL 15 ===
[[Image:o15.gif]]

* y2 R' F' R L' U' L U R' F R
* r' U' r R' U' R U r' U r

=== OLL 16 ===
[[Image:o16.gif]]

* y2 r U r' R U R' U' r U' r'
* y2 r U M U R' U' r U' r'

|}

==Awkward shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 29 ===
[[Image:o29.gif]]

* y2 R' F R F' R U2 R' d L' U' L
* y2 R2' U' R F R' U R2' U' R' F' R
* y R U R' U' R U' R' F' U' F R U R'
* y R' U2 R2 U R' U' R' U2 F R F'

=== OLL 30 ===
[[Image:o30.gif]]

* l U' R' U l' U2 d L U L'
* f R U R2 U' R' U R2 U' R' f'
* y2 F U R U' x' U R' D' R U' R'
* R2' U R' B' R U' R2' U R B R'

||

=== OLL 41 ===
[[Image:o41.gif]]

* R U' R' U2 R U y R U' R' U' F'
* y R U2' R' U' R U' R2 (y) L' U' L U F
* y2 F U R U' R' F' R' U2 R U R' U R
* y2 R U R' U R U2 R' F R U R' U' F'
* y2 R2 L z' l' U' R d L U' L l'

=== OLL 42 ===
[[Image:o42.gif]]

* L' U L U2 L' U' y' L' U L U F
* y R' U2 R U R' U R2 y R U R' U' F'
* y R' F R F' R' F R F' R U R' U' R U R'
* y2 L2 R' z r U L' d' R' U R' r

|}

==All Corners Oriented==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 28 ===
[[Image:o28.gif]]

* r U R' U' r' R U R U' R'
* F R U R' U' F' U2 F R U R' U' F'
* y2 M' U M U2 M' U M
* M U M' U2 M U M'

||

=== OLL 57 ===
[[Image:o57.gif]]

* R U R' U' r R' U R U' r'
* (x') M' U' R U M U' R' U (x)
* M U M U M U2 M' U M' U M' U2
* y M' U M' U M' U M' U M' U' M' U' M' U' M' U'

|}

[[Category:3x3x3 methods]]
[[Category:Cubing abbreviations and acronyms]]
[[Category:Algorithms]]

OLL

2009-03-24T02:31:38Z

Jokerman5656: /* OLL 2 */

__NOTOC__
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods.

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.

==All edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 21 ===
[[Image:o21.gif]]

* R U R' U R U' R' U R U2 R'
* y R U2 R' U' R U R' U' R U' R'
* y F (R U R' U') (R U R' U') (R U R' U') F'

=== OLL 22 ===
[[Image:o22.gif]]

* R U2 R2' U' R2 U' R2' U2 R
* f (R U R' U') f' F (R U R' U') F'
* y2 L' U2 L2 U L2 U L2 U2 L'
* R U2 R2 U' R' U R U' R U' R' y M' U2 M
* R' U L U' R U' L' U' L U' L'
* y2 L U' R' U L' U R U R' U R
* y2 L' U R U' L U' R' U' R U' R'
* R U' L' U R' U L U L' U L

=== OLL 23 ===
[[Image:o23.gif]]

* l2 U' R D2 R' U R D2 R
* R2 D' R U2 R' D R U2 R
* R' U2 R F U' R' U' R U F'
* l2' U' z' U R2 U' L U R2 z' L
* y2 R' F2 R U2 R U2 R' F2 R U2 R'
* y2 R2 D R' U2 R D' R' U2 R'

=== OLL 24 ===
[[Image:o24.gif]]

* r U R' U' L' U R U' x'
* r U R' U' r' F R F'
* y' R U R2' U' R2 U' R2' U2' R U' R U' R'
* y2 R' F' r U R U' r' F
: Same as y2 l' U' L U R U' r' F
||

=== OLL 25 ===
[[Image:o25.gif]]

* y' F' r U R' U' r' F R
* y' x U R' U' L U R U' r'
* y2 R U2' R D R' U2 R D' R2'
* y R' F' L' F R F' L F
* y R' U' (R U R' F') (R U R' U') (R' F R2)
* l' U' L' U R U' L F x
* x' D R U R' D' R U' l'
* U r U R U' L' U R' U' x'
* x' U L' U' R U L U' l'
* y2 l' U R D' R' U' R D x'
* y2 x' L' U' R' U L U' R U
* R U2 R' U' R U R' U' R U R' U' R U' R'
* R U R' U R U' R' U R U' R' U R U2 R'

=== OLL 26 ===
[[Image:o26.gif]]

* y2 R' U' R U' R' U2 R
* y' R U2 R' U' R U' R'
* L' U R U' L U R'
* L' U' L U' L' U2 L

=== OLL 27 ===
[[Image:o27.gif]]

* R U R' U R U2 R'
* R U' L' U R' U' L
* y' R' U2 R U R' U R
* y L' U2 L U L' UL

|}

==No edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 1 ===
[[Image:o1.gif]]

* (R U2) (R2' F R F' U2') (R' F R F')
* R U B' R B R2 U' R' F R F'

=== OLL 2 ===
[[Image:o2.gif]]

* F (R U R' U') F' f (R U R' U') f'
* R U2 R2 F R F' U2 M' U R U' r'

=== OLL 3 ===
[[Image:o3.gif]]

* y f (R U R' U') f' U' F (R U R' U') F'
* y2 r' R2 U R' U r U2 r' U R' r
* r' R U R U R' U' r R2' F R F'

=== OLL 4 ===
[[Image:o4.gif]]

* f (R U R' U') f' U F (R U R' U') F'
* R' U2 x R' U R U' y R' U' R' U R' F
* y r' R U' r U2 r' U' R U' R2' r

||

=== OLL 17 ===
[[Image:o17.gif]]

* R U R' U R' F R F' U2 R' F R F'

=== OLL 18 ===
[[Image:o18.gif]]

* y' r U R' U R U2 r2' U' R U' R' U2 r
* y2 F R U R' d R' U2 R' F R F'

=== OLL 19 ===
[[Image:o19.gif]]

* r' U2 R U R' U r2 U2' R' U' R U' r'
* R' U2 F R U R' U' y' R2 U2 R B

=== OLL 20 ===
[[Image:o20.gif]]

* r' R U R U R' U' r2 R2' U R U' r'
* M U R U R' U' M2 U R U' r'
* M' U2 M' U2 M' U M U2 M U2 M
* M' U2 M U2 M' U M U2 M' U2 M
* M d r2 U M' U2 M U r2 S'
* M' U M' U M' U M' U M U M U M U M U
|}

=="P" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 31 ===
[[Image:o31.gif]]

* L' d' R d L U' L' B' L
* S' L' U' L U L F' L' f
* y x U R' U' l U R U R' U' R U' R'
* y2 R' U' F U R U' R' F' R
* L' U' B U L U' L' B' L

=== OLL 32 ===
[[Image:o32.gif]]

* R d L' d' R' U R B R'
* S R U R' U' R' F R f'
* y x' U' R U l' U' R' U' R U R' U R
* R U B' U' R' U R B R'
* y2 F U R U' F' r U R' U' r'

||

=== OLL 43 ===
[[Image:o43.gif]]

* f' L' U' L U f
* B' U' R' U R B
* y2 F' U' L' U L F
* U R U R' F' L' U' L F

=== OLL 44 ===
[[Image:o44.gif]]

* f R U R' U' f'
* y2 F U R U' R' F'
* y R U y' L U' L' B'

|}

=="W" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 36 ===
[[Image:o36.gif]]

* R' U' R U' R' U R U R B' R' B

||

=== OLL 38 ===
[[Image:o38.gif]]

* L U L' U L U' L' U' L' B L B'
* y2 R U R' U R U' R' U' R' F R F'

|}

=="L" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 53 ===
[[Image:o53.gif]]

* l' U' L U' L' U L U' L' U2 l
* y2 r' U' R U' R' U R U' R' U2 r
* y' r' U2 R U R' U' R U R' U r

=== OLL 54 ===
[[Image:o54.gif]]

* r U R' U R U' R' U R U2 r'

=== OLL 50 ===
[[Image:o50.gif]]

* y2 R' F R2 B' R2 F' R2 B R'
* r' U r2 U' r2' U' r2 U r'
* R B' R B R2' U2 F R' F' R
* y2 l' U l2 U' l2 U' l2 U l'
* r' U2 R2' U R2 U rR U2 R'
* y' [R U2 R' U' R U' R'] [F R U R' U' F']
||

=== OLL 47 ===
[[Image:o47.gif]]

* F' L' U' L U L' U' L U F
* R' U' x R' U R U' R' U R U' x' U R
* b' U' R' U R U' R' U R b

=== OLL 48 ===
[[Image:o48.gif]]

* F R U R' U' R U R' U' F'
* y2 f U R U' R' U R U' R' f'

=== OLL 49 ===
[[Image:o49.gif]]

* R B' R2 F R2 B R2 F' R
* l U' l2' U l2 U l2' U' l
* y2 r U' r2 U r2 U r2 U' r
* y2 R' F R' F' R2 d2 y' R' F R F'
* y2 r U2 R2' U' R2 U' r'R' U2 R

|}

=="C" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 34 ===
[[Image:o34.gif]]

* R U R' U' x D' R' U R E'
* R U R' d' l' U' L U r' R
* y2 F R U R' U' R' F' r U R U' r'
||

=== OLL 46 ===
[[Image:o46.gif]]

* R' U' R' F R F' U R
* R' U' l' U l F' U R
* R U l U' R' U F' l'
* y2 L F U' R U R' F' L'

|}

=="T" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 33 ===
[[Image:o33.gif]]

* R U R' U' R' F R F'

||

=== OLL 45 ===
[[Image:o45.gif]]

* F R U R' U' F'

|}

=="I" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 55 ===
[[Image:o55.gif]]

* R U2 R2 U' R U' R' U2 F R F'
** A 4x4x4 special: Note: Rra = (R + r) + (L + l)
::(y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'

=== OLL 56 ===
[[Image:o56.gif]]

* R B R' U L U' L' U L U' L' R B' R'
* r' U' r U' R' U R U' R' U R r' U r
* F R U R' U' R F' r U R' U' r'

||

=== OLL 51 ===
[[Image:o51.gif]]

* F U R U' R' U R U' R' F'
* y2 f R U R' U' R U R' U' f'

=== OLL 52 ===
[[Image:o52.gif]]

* R' U' R U' R' d R' U R B
* R U R' U R d' R U' R' F'

|}

==Square shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 5 ===
[[Image:o5.gif]]

* (r' U2) (R U R' U r)

||

=== OLL 6 ===
[[Image:o6.gif]]

* y2 (r U2) (R' U' R U') r'
* l U2 L' U' L U' l'
|}

==Big lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 39 ===
[[Image:o39.gif]]

* L F' L' U' L U F U' L'
* y2 f' L F L' U' L' U L S
* y2 R B' R' U' R U B U' R'

||

=== OLL 40 ===
[[Image:o40.gif]]

* R' F R U R' U' F' U R
* y2 f R' F' R U R U' R' S'
* y2 L' B L U L' U' B' U L

|}

==Small lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 7 ===
[[Image:o7.gif]]

* (r U R' U) (R U2 r')

=== OLL 8 ===
[[Image:o8.gif]]

* y2 r' U' R U' R' U2 r

||

=== OLL 11 ===
[[Image:o11.gif]]

* r' R2 U R' U R U2 R' U r R'
* y2 r U R' U R' F R F' R U2 r'

=== OLL 12 ===
[[Image:o12.gif]]

* F R U R' U' F' y F R U R' U' F'
* y F R U R2 F R y' R2 U R U2 R'

|}

==Fish shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 9 ===
[[Image:o9.gif]]

* y' R' U' R y' x' R U' R' F R U R' x
* y' R U R' U' R' F R2 U R' U' F'

=== OLL 10 ===
[[Image:o10.gif]]

* y' R U R' y R' F R U' R' F' R

||

=== OLL 35 ===
[[Image:o35.gif]]

* R U2 R2' F R F'R U2 R'

=== OLL 37 ===
[[Image:o37.gif]]

* x' U' R U l' U' R' U R
* l U' R' U y' R U R' U' z'
* y F R U' R' U' R U R' F'
* y R' F R F' U' F' U F
* R B' R' B U B U' B'

|}

==Knight move shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 13 ===
[[Image:o13.gif]]

* F U R U' R2 F' R U R U' R'
* y2 x' R U' R' F' R U R' x y R' U R
* y2 f R U R2 U' R' U R U' f'

=== OLL 14 ===
[[Image:o14.gif]]

* R' F R U R' F' R y' R U' R'
* y' R' U' y' R' U R2 B R' U' R' U R

||

=== OLL 15 ===
[[Image:o15.gif]]

* y2 R' F' R L' U' L U R' F R
* r' U' r R' U' R U r' U r

=== OLL 16 ===
[[Image:o16.gif]]

* y2 r U r' R U R' U' r U' r'
* y2 r U M U R' U' r U' r'

|}

==Awkward shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 29 ===
[[Image:o29.gif]]

* y2 R' F R F' R U2 R' d L' U' L
* y2 R2' U' R F R' U R2' U' R' F' R
* y R U R' U' R U' R' F' U' F R U R'
* y R' U2 R2 U R' U' R' U2 F R F'

=== OLL 30 ===
[[Image:o30.gif]]

* l U' R' U l' U2 d L U L'
* f R U R2 U' R' U R2 U' R' f'
* y2 F U R U' x' U R' D' R U' R'
* R2' U R' B' R U' R2' U R B R'

||

=== OLL 41 ===
[[Image:o41.gif]]

* R U' R' U2 R U y R U' R' U' F'
* y R U2' R' U' R U' R2 (y) L' U' L U F
* y2 F U R U' R' F' R' U2 R U R' U R
* y2 R U R' U R U2 R' F R U R' U' F'
* y2 R2 L z' l' U' R d L U' L l'

=== OLL 42 ===
[[Image:o42.gif]]

* L' U L U2 L' U' y' L' U L U F
* y R' U2 R U R' U R2 y R U R' U' F'
* y R' F R F' R' F R F' R U R' U' R U R'
* y2 L2 R' z r U L' d' R' U R' r

|}

==All Corners Oriented==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 28 ===
[[Image:o28.gif]]

* r U R' U' r' R U R U' R'
* F R U R' U' F' U2 F R U R' U' F'
* y2 M' U M U2 M' U M
* M U M' U2 M U M'

||

=== OLL 57 ===
[[Image:o57.gif]]

* R U R' U' r R' U R U' r'
* (x') M' U' R U M U' R' U (x)
* M U M U M U2 M' U M' U M' U2
* y M' U M' U M' U M' U M' U' M' U' M' U' M' U'

|}

[[Category:3x3x3 methods]]
[[Category:Cubing abbreviations and acronyms]]
[[Category:Algorithms]]

OLL

2009-03-24T02:27:22Z

Jokerman5656: /* OLL 2 */

__NOTOC__
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods.

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.

==All edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 21 ===
[[Image:o21.gif]]

* R U R' U R U' R' U R U2 R'
* y R U2 R' U' R U R' U' R U' R'
* y F (R U R' U') (R U R' U') (R U R' U') F'

=== OLL 22 ===
[[Image:o22.gif]]

* R U2 R2' U' R2 U' R2' U2 R
* f (R U R' U') f' F (R U R' U') F'
* y2 L' U2 L2 U L2 U L2 U2 L'
* R U2 R2 U' R' U R U' R U' R' y M' U2 M
* R' U L U' R U' L' U' L U' L'
* y2 L U' R' U L' U R U R' U R
* y2 L' U R U' L U' R' U' R U' R'
* R U' L' U R' U L U L' U L

=== OLL 23 ===
[[Image:o23.gif]]

* l2 U' R D2 R' U R D2 R
* R2 D' R U2 R' D R U2 R
* R' U2 R F U' R' U' R U F'
* l2' U' z' U R2 U' L U R2 z' L
* y2 R' F2 R U2 R U2 R' F2 R U2 R'
* y2 R2 D R' U2 R D' R' U2 R'

=== OLL 24 ===
[[Image:o24.gif]]

* r U R' U' L' U R U' x'
* r U R' U' r' F R F'
* y' R U R2' U' R2 U' R2' U2' R U' R U' R'
* y2 R' F' r U R U' r' F
: Same as y2 l' U' L U R U' r' F
||

=== OLL 25 ===
[[Image:o25.gif]]

* y' F' r U R' U' r' F R
* y' x U R' U' L U R U' r'
* y2 R U2' R D R' U2 R D' R2'
* y R' F' L' F R F' L F
* y R' U' (R U R' F') (R U R' U') (R' F R2)
* l' U' L' U R U' L F x
* x' D R U R' D' R U' l'
* U r U R U' L' U R' U' x'
* x' U L' U' R U L U' l'
* y2 l' U R D' R' U' R D x'
* y2 x' L' U' R' U L U' R U
* R U2 R' U' R U R' U' R U R' U' R U' R'
* R U R' U R U' R' U R U' R' U R U2 R'

=== OLL 26 ===
[[Image:o26.gif]]

* y2 R' U' R U' R' U2 R
* y' R U2 R' U' R U' R'
* L' U R U' L U R'
* L' U' L U' L' U2 L

=== OLL 27 ===
[[Image:o27.gif]]

* R U R' U R U2 R'
* R U' L' U R' U' L
* y' R' U2 R U R' U R
* y L' U2 L U L' UL

|}

==No edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 1 ===
[[Image:o1.gif]]

* (R U2) (R2' F R F' U2') (R' F R F')
* R U B' R B R2 U' R' F R F'

=== OLL 2 ===
[[Image:o2.gif]]

* F (R U R' U') F' f (R U R' U') f'
* R U2' R2' F R F' U2 M' U R U' r'

=== OLL 3 ===
[[Image:o3.gif]]

* y f (R U R' U') f' U' F (R U R' U') F'
* y2 r' R2 U R' U r U2 r' U R' r
* r' R U R U R' U' r R2' F R F'

=== OLL 4 ===
[[Image:o4.gif]]

* f (R U R' U') f' U F (R U R' U') F'
* R' U2 x R' U R U' y R' U' R' U R' F
* y r' R U' r U2 r' U' R U' R2' r

||

=== OLL 17 ===
[[Image:o17.gif]]

* R U R' U R' F R F' U2 R' F R F'

=== OLL 18 ===
[[Image:o18.gif]]

* y' r U R' U R U2 r2' U' R U' R' U2 r
* y2 F R U R' d R' U2 R' F R F'

=== OLL 19 ===
[[Image:o19.gif]]

* r' U2 R U R' U r2 U2' R' U' R U' r'
* R' U2 F R U R' U' y' R2 U2 R B

=== OLL 20 ===
[[Image:o20.gif]]

* r' R U R U R' U' r2 R2' U R U' r'
* M U R U R' U' M2 U R U' r'
* M' U2 M' U2 M' U M U2 M U2 M
* M' U2 M U2 M' U M U2 M' U2 M
* M d r2 U M' U2 M U r2 S'
* M' U M' U M' U M' U M U M U M U M U
|}

=="P" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 31 ===
[[Image:o31.gif]]

* L' d' R d L U' L' B' L
* S' L' U' L U L F' L' f
* y x U R' U' l U R U R' U' R U' R'
* y2 R' U' F U R U' R' F' R
* L' U' B U L U' L' B' L

=== OLL 32 ===
[[Image:o32.gif]]

* R d L' d' R' U R B R'
* S R U R' U' R' F R f'
* y x' U' R U l' U' R' U' R U R' U R
* R U B' U' R' U R B R'
* y2 F U R U' F' r U R' U' r'

||

=== OLL 43 ===
[[Image:o43.gif]]

* f' L' U' L U f
* B' U' R' U R B
* y2 F' U' L' U L F
* U R U R' F' L' U' L F

=== OLL 44 ===
[[Image:o44.gif]]

* f R U R' U' f'
* y2 F U R U' R' F'
* y R U y' L U' L' B'

|}

=="W" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 36 ===
[[Image:o36.gif]]

* R' U' R U' R' U R U R B' R' B

||

=== OLL 38 ===
[[Image:o38.gif]]

* L U L' U L U' L' U' L' B L B'
* y2 R U R' U R U' R' U' R' F R F'

|}

=="L" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 53 ===
[[Image:o53.gif]]

* l' U' L U' L' U L U' L' U2 l
* y2 r' U' R U' R' U R U' R' U2 r
* y' r' U2 R U R' U' R U R' U r

=== OLL 54 ===
[[Image:o54.gif]]

* r U R' U R U' R' U R U2 r'

=== OLL 50 ===
[[Image:o50.gif]]

* y2 R' F R2 B' R2 F' R2 B R'
* r' U r2 U' r2' U' r2 U r'
* R B' R B R2' U2 F R' F' R
* y2 l' U l2 U' l2 U' l2 U l'
* r' U2 R2' U R2 U rR U2 R'
* y' [R U2 R' U' R U' R'] [F R U R' U' F']
||

=== OLL 47 ===
[[Image:o47.gif]]

* F' L' U' L U L' U' L U F
* R' U' x R' U R U' R' U R U' x' U R
* b' U' R' U R U' R' U R b

=== OLL 48 ===
[[Image:o48.gif]]

* F R U R' U' R U R' U' F'
* y2 f U R U' R' U R U' R' f'

=== OLL 49 ===
[[Image:o49.gif]]

* R B' R2 F R2 B R2 F' R
* l U' l2' U l2 U l2' U' l
* y2 r U' r2 U r2 U r2 U' r
* y2 R' F R' F' R2 d2 y' R' F R F'
* y2 r U2 R2' U' R2 U' r'R' U2 R

|}

=="C" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 34 ===
[[Image:o34.gif]]

* R U R' U' x D' R' U R E'
* R U R' d' l' U' L U r' R
* y2 F R U R' U' R' F' r U R U' r'
||

=== OLL 46 ===
[[Image:o46.gif]]

* R' U' R' F R F' U R
* R' U' l' U l F' U R
* R U l U' R' U F' l'
* y2 L F U' R U R' F' L'

|}

=="T" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 33 ===
[[Image:o33.gif]]

* R U R' U' R' F R F'

||

=== OLL 45 ===
[[Image:o45.gif]]

* F R U R' U' F'

|}

=="I" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 55 ===
[[Image:o55.gif]]

* R U2 R2 U' R U' R' U2 F R F'
** A 4x4x4 special: Note: Rra = (R + r) + (L + l)
::(y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'

=== OLL 56 ===
[[Image:o56.gif]]

* R B R' U L U' L' U L U' L' R B' R'
* r' U' r U' R' U R U' R' U R r' U r
* F R U R' U' R F' r U R' U' r'

||

=== OLL 51 ===
[[Image:o51.gif]]

* F U R U' R' U R U' R' F'
* y2 f R U R' U' R U R' U' f'

=== OLL 52 ===
[[Image:o52.gif]]

* R' U' R U' R' d R' U R B
* R U R' U R d' R U' R' F'

|}

==Square shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 5 ===
[[Image:o5.gif]]

* (r' U2) (R U R' U r)

||

=== OLL 6 ===
[[Image:o6.gif]]

* y2 (r U2) (R' U' R U') r'
* l U2 L' U' L U' l'
|}

==Big lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 39 ===
[[Image:o39.gif]]

* L F' L' U' L U F U' L'
* y2 f' L F L' U' L' U L S
* y2 R B' R' U' R U B U' R'

||

=== OLL 40 ===
[[Image:o40.gif]]

* R' F R U R' U' F' U R
* y2 f R' F' R U R U' R' S'
* y2 L' B L U L' U' B' U L

|}

==Small lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 7 ===
[[Image:o7.gif]]

* (r U R' U) (R U2 r')

=== OLL 8 ===
[[Image:o8.gif]]

* y2 r' U' R U' R' U2 r

||

=== OLL 11 ===
[[Image:o11.gif]]

* r' R2 U R' U R U2 R' U r R'
* y2 r U R' U R' F R F' R U2 r'

=== OLL 12 ===
[[Image:o12.gif]]

* F R U R' U' F' y F R U R' U' F'
* y F R U R2 F R y' R2 U R U2 R'

|}

==Fish shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 9 ===
[[Image:o9.gif]]

* y' R' U' R y' x' R U' R' F R U R' x
* y' R U R' U' R' F R2 U R' U' F'

=== OLL 10 ===
[[Image:o10.gif]]

* y' R U R' y R' F R U' R' F' R

||

=== OLL 35 ===
[[Image:o35.gif]]

* R U2 R2' F R F'R U2 R'

=== OLL 37 ===
[[Image:o37.gif]]

* x' U' R U l' U' R' U R
* l U' R' U y' R U R' U' z'
* y F R U' R' U' R U R' F'
* y R' F R F' U' F' U F
* R B' R' B U B U' B'

|}

==Knight move shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 13 ===
[[Image:o13.gif]]

* F U R U' R2 F' R U R U' R'
* y2 x' R U' R' F' R U R' x y R' U R
* y2 f R U R2 U' R' U R U' f'

=== OLL 14 ===
[[Image:o14.gif]]

* R' F R U R' F' R y' R U' R'
* y' R' U' y' R' U R2 B R' U' R' U R

||

=== OLL 15 ===
[[Image:o15.gif]]

* y2 R' F' R L' U' L U R' F R
* r' U' r R' U' R U r' U r

=== OLL 16 ===
[[Image:o16.gif]]

* y2 r U r' R U R' U' r U' r'
* y2 r U M U R' U' r U' r'

|}

==Awkward shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 29 ===
[[Image:o29.gif]]

* y2 R' F R F' R U2 R' d L' U' L
* y2 R2' U' R F R' U R2' U' R' F' R
* y R U R' U' R U' R' F' U' F R U R'
* y R' U2 R2 U R' U' R' U2 F R F'

=== OLL 30 ===
[[Image:o30.gif]]

* l U' R' U l' U2 d L U L'
* f R U R2 U' R' U R2 U' R' f'
* y2 F U R U' x' U R' D' R U' R'
* R2' U R' B' R U' R2' U R B R'

||

=== OLL 41 ===
[[Image:o41.gif]]

* R U' R' U2 R U y R U' R' U' F'
* y R U2' R' U' R U' R2 (y) L' U' L U F
* y2 F U R U' R' F' R' U2 R U R' U R
* y2 R U R' U R U2 R' F R U R' U' F'
* y2 R2 L z' l' U' R d L U' L l'

=== OLL 42 ===
[[Image:o42.gif]]

* L' U L U2 L' U' y' L' U L U F
* y R' U2 R U R' U R2 y R U R' U' F'
* y R' F R F' R' F R F' R U R' U' R U R'
* y2 L2 R' z r U L' d' R' U R' r

|}

==All Corners Oriented==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 28 ===
[[Image:o28.gif]]

* r U R' U' r' R U R U' R'
* F R U R' U' F' U2 F R U R' U' F'
* y2 M' U M U2 M' U M
* M U M' U2 M U M'

||

=== OLL 57 ===
[[Image:o57.gif]]

* R U R' U' r R' U R U' r'
* (x') M' U' R U M U' R' U (x)
* M U M U M U2 M' U M' U M' U2
* y M' U M' U M' U M' U M' U' M' U' M' U' M' U'

|}

[[Category:3x3x3 methods]]
[[Category:Cubing abbreviations and acronyms]]
[[Category:Algorithms]]

OLL

2009-03-24T02:23:52Z

Jokerman5656: /* OLL 3 */

__NOTOC__
OLL is the [[Orientation]] of the [[Last Layer]], and is the first step in solving the last layer in many speedsolving methods.

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.

==All edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 21 ===
[[Image:o21.gif]]

* R U R' U R U' R' U R U2 R'
* y R U2 R' U' R U R' U' R U' R'
* y F (R U R' U') (R U R' U') (R U R' U') F'

=== OLL 22 ===
[[Image:o22.gif]]

* R U2 R2' U' R2 U' R2' U2 R
* f (R U R' U') f' F (R U R' U') F'
* y2 L' U2 L2 U L2 U L2 U2 L'
* R U2 R2 U' R' U R U' R U' R' y M' U2 M
* R' U L U' R U' L' U' L U' L'
* y2 L U' R' U L' U R U R' U R
* y2 L' U R U' L U' R' U' R U' R'
* R U' L' U R' U L U L' U L

=== OLL 23 ===
[[Image:o23.gif]]

* l2 U' R D2 R' U R D2 R
* R2 D' R U2 R' D R U2 R
* R' U2 R F U' R' U' R U F'
* l2' U' z' U R2 U' L U R2 z' L
* y2 R' F2 R U2 R U2 R' F2 R U2 R'
* y2 R2 D R' U2 R D' R' U2 R'

=== OLL 24 ===
[[Image:o24.gif]]

* r U R' U' L' U R U' x'
* r U R' U' r' F R F'
* y' R U R2' U' R2 U' R2' U2' R U' R U' R'
* y2 R' F' r U R U' r' F
: Same as y2 l' U' L U R U' r' F
||

=== OLL 25 ===
[[Image:o25.gif]]

* y' F' r U R' U' r' F R
* y' x U R' U' L U R U' r'
* y2 R U2' R D R' U2 R D' R2'
* y R' F' L' F R F' L F
* y R' U' (R U R' F') (R U R' U') (R' F R2)
* l' U' L' U R U' L F x
* x' D R U R' D' R U' l'
* U r U R U' L' U R' U' x'
* x' U L' U' R U L U' l'
* y2 l' U R D' R' U' R D x'
* y2 x' L' U' R' U L U' R U
* R U2 R' U' R U R' U' R U R' U' R U' R'
* R U R' U R U' R' U R U' R' U R U2 R'

=== OLL 26 ===
[[Image:o26.gif]]

* y2 R' U' R U' R' U2 R
* y' R U2 R' U' R U' R'
* L' U R U' L U R'
* L' U' L U' L' U2 L

=== OLL 27 ===
[[Image:o27.gif]]

* R U R' U R U2 R'
* R U' L' U R' U' L
* y' R' U2 R U R' U R
* y L' U2 L U L' UL

|}

==No edges flipped correctly==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 1 ===
[[Image:o1.gif]]

* (R U2) (R2' F R F' U2') (R' F R F')
* R U B' R B R2 U' R' F R F'

=== OLL 2 ===
[[Image:o2.gif]]

* F (R U R' U') F' f (R U R' U') f'

=== OLL 3 ===
[[Image:o3.gif]]

* y f (R U R' U') f' U' F (R U R' U') F'
* y2 r' R2 U R' U r U2 r' U R' r
* r' R U R U R' U' r R2' F R F'

=== OLL 4 ===
[[Image:o4.gif]]

* f (R U R' U') f' U F (R U R' U') F'
* R' U2 x R' U R U' y R' U' R' U R' F
* y r' R U' r U2 r' U' R U' R2' r

||

=== OLL 17 ===
[[Image:o17.gif]]

* R U R' U R' F R F' U2 R' F R F'

=== OLL 18 ===
[[Image:o18.gif]]

* y' r U R' U R U2 r2' U' R U' R' U2 r
* y2 F R U R' d R' U2 R' F R F'

=== OLL 19 ===
[[Image:o19.gif]]

* r' U2 R U R' U r2 U2' R' U' R U' r'
* R' U2 F R U R' U' y' R2 U2 R B

=== OLL 20 ===
[[Image:o20.gif]]

* r' R U R U R' U' r2 R2' U R U' r'
* M U R U R' U' M2 U R U' r'
* M' U2 M' U2 M' U M U2 M U2 M
* M' U2 M U2 M' U M U2 M' U2 M
* M d r2 U M' U2 M U r2 S'
* M' U M' U M' U M' U M U M U M U M U
|}

=="P" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 31 ===
[[Image:o31.gif]]

* L' d' R d L U' L' B' L
* S' L' U' L U L F' L' f
* y x U R' U' l U R U R' U' R U' R'
* y2 R' U' F U R U' R' F' R
* L' U' B U L U' L' B' L

=== OLL 32 ===
[[Image:o32.gif]]

* R d L' d' R' U R B R'
* S R U R' U' R' F R f'
* y x' U' R U l' U' R' U' R U R' U R
* R U B' U' R' U R B R'
* y2 F U R U' F' r U R' U' r'

||

=== OLL 43 ===
[[Image:o43.gif]]

* f' L' U' L U f
* B' U' R' U R B
* y2 F' U' L' U L F
* U R U R' F' L' U' L F

=== OLL 44 ===
[[Image:o44.gif]]

* f R U R' U' f'
* y2 F U R U' R' F'
* y R U y' L U' L' B'

|}

=="W" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 36 ===
[[Image:o36.gif]]

* R' U' R U' R' U R U R B' R' B

||

=== OLL 38 ===
[[Image:o38.gif]]

* L U L' U L U' L' U' L' B L B'
* y2 R U R' U R U' R' U' R' F R F'

|}

=="L" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 53 ===
[[Image:o53.gif]]

* l' U' L U' L' U L U' L' U2 l
* y2 r' U' R U' R' U R U' R' U2 r
* y' r' U2 R U R' U' R U R' U r

=== OLL 54 ===
[[Image:o54.gif]]

* r U R' U R U' R' U R U2 r'

=== OLL 50 ===
[[Image:o50.gif]]

* y2 R' F R2 B' R2 F' R2 B R'
* r' U r2 U' r2' U' r2 U r'
* R B' R B R2' U2 F R' F' R
* y2 l' U l2 U' l2 U' l2 U l'
* r' U2 R2' U R2 U rR U2 R'
* y' [R U2 R' U' R U' R'] [F R U R' U' F']
||

=== OLL 47 ===
[[Image:o47.gif]]

* F' L' U' L U L' U' L U F
* R' U' x R' U R U' R' U R U' x' U R
* b' U' R' U R U' R' U R b

=== OLL 48 ===
[[Image:o48.gif]]

* F R U R' U' R U R' U' F'
* y2 f U R U' R' U R U' R' f'

=== OLL 49 ===
[[Image:o49.gif]]

* R B' R2 F R2 B R2 F' R
* l U' l2' U l2 U l2' U' l
* y2 r U' r2 U r2 U r2 U' r
* y2 R' F R' F' R2 d2 y' R' F R F'
* y2 r U2 R2' U' R2 U' r'R' U2 R

|}

=="C" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 34 ===
[[Image:o34.gif]]

* R U R' U' x D' R' U R E'
* R U R' d' l' U' L U r' R
* y2 F R U R' U' R' F' r U R U' r'
||

=== OLL 46 ===
[[Image:o46.gif]]

* R' U' R' F R F' U R
* R' U' l' U l F' U R
* R U l U' R' U F' l'
* y2 L F U' R U R' F' L'

|}

=="T" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 33 ===
[[Image:o33.gif]]

* R U R' U' R' F R F'

||

=== OLL 45 ===
[[Image:o45.gif]]

* F R U R' U' F'

|}

=="I" shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 55 ===
[[Image:o55.gif]]

* R U2 R2 U' R U' R' U2 F R F'
** A 4x4x4 special: Note: Rra = (R + r) + (L + l)
::(y) Rr U2 Rra' U2 Rr U2 Rr' U2 Rra U2 Rr'

=== OLL 56 ===
[[Image:o56.gif]]

* R B R' U L U' L' U L U' L' R B' R'
* r' U' r U' R' U R U' R' U R r' U r
* F R U R' U' R F' r U R' U' r'

||

=== OLL 51 ===
[[Image:o51.gif]]

* F U R U' R' U R U' R' F'
* y2 f R U R' U' R U R' U' f'

=== OLL 52 ===
[[Image:o52.gif]]

* R' U' R U' R' d R' U R B
* R U R' U R d' R U' R' F'

|}

==Square shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 5 ===
[[Image:o5.gif]]

* (r' U2) (R U R' U r)

||

=== OLL 6 ===
[[Image:o6.gif]]

* y2 (r U2) (R' U' R U') r'
* l U2 L' U' L U' l'
|}

==Big lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 39 ===
[[Image:o39.gif]]

* L F' L' U' L U F U' L'
* y2 f' L F L' U' L' U L S
* y2 R B' R' U' R U B U' R'

||

=== OLL 40 ===
[[Image:o40.gif]]

* R' F R U R' U' F' U R
* y2 f R' F' R U R U' R' S'
* y2 L' B L U L' U' B' U L

|}

==Small lightning bolt shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 7 ===
[[Image:o7.gif]]

* (r U R' U) (R U2 r')

=== OLL 8 ===
[[Image:o8.gif]]

* y2 r' U' R U' R' U2 r

||

=== OLL 11 ===
[[Image:o11.gif]]

* r' R2 U R' U R U2 R' U r R'
* y2 r U R' U R' F R F' R U2 r'

=== OLL 12 ===
[[Image:o12.gif]]

* F R U R' U' F' y F R U R' U' F'
* y F R U R2 F R y' R2 U R U2 R'

|}

==Fish shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 9 ===
[[Image:o9.gif]]

* y' R' U' R y' x' R U' R' F R U R' x
* y' R U R' U' R' F R2 U R' U' F'

=== OLL 10 ===
[[Image:o10.gif]]

* y' R U R' y R' F R U' R' F' R

||

=== OLL 35 ===
[[Image:o35.gif]]

* R U2 R2' F R F'R U2 R'

=== OLL 37 ===
[[Image:o37.gif]]

* x' U' R U l' U' R' U R
* l U' R' U y' R U R' U' z'
* y F R U' R' U' R U R' F'
* y R' F R F' U' F' U F
* R B' R' B U B U' B'

|}

==Knight move shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 13 ===
[[Image:o13.gif]]

* F U R U' R2 F' R U R U' R'
* y2 x' R U' R' F' R U R' x y R' U R
* y2 f R U R2 U' R' U R U' f'

=== OLL 14 ===
[[Image:o14.gif]]

* R' F R U R' F' R y' R U' R'
* y' R' U' y' R' U R2 B R' U' R' U R

||

=== OLL 15 ===
[[Image:o15.gif]]

* y2 R' F' R L' U' L U R' F R
* r' U' r R' U' R U r' U r

=== OLL 16 ===
[[Image:o16.gif]]

* y2 r U r' R U R' U' r U' r'
* y2 r U M U R' U' r U' r'

|}

==Awkward shapes==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 29 ===
[[Image:o29.gif]]

* y2 R' F R F' R U2 R' d L' U' L
* y2 R2' U' R F R' U R2' U' R' F' R
* y R U R' U' R U' R' F' U' F R U R'
* y R' U2 R2 U R' U' R' U2 F R F'

=== OLL 30 ===
[[Image:o30.gif]]

* l U' R' U l' U2 d L U L'
* f R U R2 U' R' U R2 U' R' f'
* y2 F U R U' x' U R' D' R U' R'
* R2' U R' B' R U' R2' U R B R'

||

=== OLL 41 ===
[[Image:o41.gif]]

* R U' R' U2 R U y R U' R' U' F'
* y R U2' R' U' R U' R2 (y) L' U' L U F
* y2 F U R U' R' F' R' U2 R U R' U R
* y2 R U R' U R U2 R' F R U R' U' F'
* y2 R2 L z' l' U' R d L U' L l'

=== OLL 42 ===
[[Image:o42.gif]]

* L' U L U2 L' U' y' L' U L U F
* y R' U2 R U R' U R2 y R U R' U' F'
* y R' F R F' R' F R F' R U R' U' R U R'
* y2 L2 R' z r U L' d' R' U R' r

|}

==All Corners Oriented==
{|border="0" width="100%" valign="top"
|-valign="top"
|width="50%"|
|width="50%"|
|-valign="top"
|

=== OLL 28 ===
[[Image:o28.gif]]

* r U R' U' r' R U R U' R'
* F R U R' U' F' U2 F R U R' U' F'
* y2 M' U M U2 M' U M
* M U M' U2 M U M'

||

=== OLL 57 ===
[[Image:o57.gif]]

* R U R' U' r R' U R U' r'
* (x') M' U' R U M U' R' U (x)
* M U M U M U2 M' U M' U M' U2
* y M' U M' U M' U M' U M' U' M' U' M' U' M' U'

|}

[[Category:3x3x3 methods]]
[[Category:Cubing abbreviations and acronyms]]
[[Category:Algorithms]]

PLL

2009-03-12T20:47:09Z

Jokerman5656: /* A Permutation : b */

PLL

2009-03-12T20:46:48Z

Jokerman5656: /* A Permutation : a */