PLL

2011-04-12T08:04:19Z

Y235: /* J Permutation : a */

{{Method Infobox
|name=PLL
|image=PLLinfo.jpg
|proposers=
|year=
|anames=
|variants=
|steps=1
|algs=21
|moves=12.3 [[HTM]]
|purpose=<sup></sup>
* [[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=
|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}}

===G Permutation : a===
{{case
|image=g3.gif
|name=G-PLL a
|methods=[[PLL]], [[ZBLL]]
|optimal=
|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=
|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=
|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') 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=
|text=
}}
{{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|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') 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=
|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=
|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}}

===N Permutation : a===
{{case
|image=n1.gif
|name=N-PLL a
|methods=[[PLL]], [[ZBLL]], [[ZZLL]]
|optimal=
|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=
|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}}

===R Permutation : a===
{{case
|image=r1.gif
|name=R-PLL a
|methods=[[PLL]], [[ZBLL]]
|optimal=
|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=
|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=
|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=
|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=
|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}}

<br>{{PLL}}

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

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