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PLL

2020-01-19T14:39:58Z

2017DAOU01: /* R Permutation : b */

<seo title="PLL Algorithms - CFOP Speedcubing Cases" metak="pll algs, pll, pll algorithms, speedcubing" metad="Permutation of the last layer algorithms for the CFOP speedsolving method." />
{{Substep Infobox
|name=PLL
|image=PLLinfo.jpg
|proposers=[[Hans Dockhorn]], [[Anneke Treep]], [[Jessica Fridrich]]
|year=
|anames=
|variants=
|subgroup=<nowiki></nowiki>
|algs=21
|moves=11.8 [[HTM]]
|purpose=
* [[Speedsolving]]
|previous=[[OLL cube state]]
|next=[[Solved cube state]]
|previousimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]
|nextimage=[[Image:Mini maru.jpg|120px|left|link=Solved_cube_state]]

}}
'''PLL''' is the acronym for '''Permutation of the Last Layer'''. Permutation of the [[Last Layer]] is 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. If you like, 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:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]
* [[2-Sided PLL Recognition]]

== External links ==

* [http://algdb.net/puzzle/333/pll AlgDB PLL Page]
* [https://paritycasecubing.wordpress.com/2014/05/29/updated-pll-2sr-a-guide-to-recognising-plls-by-looking-at-only-two-sides-v2-0 "PLL 2SR: A guide to recognizing PLLs by looking at only two sides (V2.0)"] (Comparative pattern analysis of PLLs from all angles, by Parity Case)
* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html Recognize PLLs by patterns] (PLL patterns and Algs by RiDo)
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]
* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version
*[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series]
*[https://www.speedcubingtips.eu/pll/ speedcubingtips.eu PLL algs]

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

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

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

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

==Permutations of Edges and Corners==

===F Permutation===
{{case
|image=f.gif
|name=F-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|y L R2 U R U R2 U' R' U' R2 U' R U2 L' U R'|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F |PLL|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2|PLL|cube=3x3x3&stage=PLL|}}
{{Alg|M' U2 L F' R U2 r' U r' R2 U2 R2|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|(R' U R U') R2 (F' U' F U) (R F R' F') R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R U' R' U R U F R U R' U' x' D' R2 D R D' |Alg.1(svn)|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R U' R' U R U F R U R' U' x U' R2 U R U' |Alg.1(svn1)|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')|Alg.5(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y' z) R U R' U' R U2 (z' y') R U R' U' (y' x') R' U' R U R2 (x)|Alg.5(v3)|cube=3x3x3&stage=PLL}}
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=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 (D U' R' U) R D'|PLL|vidurl=http://www.youtube.com/watch?v=4hxXyedEvoE}}
{{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 D (U' R' U R) D'|PLL}}
{{Alg|(y2) F2' D (R' U R' U' R) D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}
{{Alg|(R U R' U' R') U F (R U R U' R') F' U R' U2 R|PLL}}
{{Alg|(y) L F2 R (F' L' F U) R' U' (F' L F' L')|PLL}}
{{Alg|(y) R2' S2 U l2' U' l2' u R2 U' r2' F2|PLL}}

===G Permutation : b===
{{case
|image=g2.gif
|name=G-PLL b
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|R' U' R U D' R2 U R' U R U' R U' R2 D|PLL|vidurl=http://www.youtube.com/watch?v=M6RDFenst9g}}
{{Alg|R' U' R (y) R2 u (R' U R U' R) u' R2|PLL}}
{{Alg|(y) F' U' F R2 u (R' U R U' R) u' R2'|PLL}}
{{Alg|R' U' R B2 D (L' U L U' L) D' B2|PLL}}
{{Alg|(y2) L' U' L (y') R2' u (R' U R U' R) u' R2|PLL}}
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R'|PLL}}
{{Alg|R2 D L2 D F2 L D R' D2 L D' R' U2 |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 D' U R U' R' D|PLL}}
{{Alg|(y) R2' u' (R U' R U R') u R2 (y) R U' R'|PLL}}
{{Alg|(y) R2' u' (R U' R U R') u R2 B U' B'|PLL}}
{{Alg|(y) R2' U' (R U' R U R') U R2 (D' U R U' R' D)|PLL}}
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|B2 L2 U' B2 D B2 D' R2 U M2 F2 (x2)|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) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U'|PLL}}

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

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

===J Permutation : b===
{{case
|image=j.gif
|name=J-PLL b
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) R' U L U' R U2' L' U L U2 L'||cube=3x3x3&stage=PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=RnfFAp3zBYw}}
{{Alg|R U2 R' U' R U2 L' U R' U' r x|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y) (R U' L) U2 (R' U R) U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|L' U R U' L U2 R' U R U2 R'|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|B2 (L U L') B2 (R D' R D) R2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 (R U R') F2 (L D' L D) L2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 (R U R') b2 (R U' R U) l2'|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') L2 u L u' L2 (x' y) (L U' L U) r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 x) U2 l U l' U2 r (U' L U) r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y') L2 (U D') L2 U L2 U' L2 D L2 U' L2|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|R2 U F U F' R2 F U' F' R2 U' R2 U'|Alg.13|cube=3x3x3&stage=PLL}}

===N Permutation : a===
{{case
|image=n1.gif
|name=N-PLL a
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|r' D r U2 r' D r U2 r' D r U2 r' D r U2 r' D r |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(L U' R U2 L' U R')2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U R' D R2 U' R D')2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D R' U R2 D' R U')2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'|Alg.1(v6)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}

===N Permutation : b===
{{case
|image=n.gif
|name=N-PLL b
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(R' U L' U2 R U' L)2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|z D' R U' R2 D R' U D' R U' R2 D R' U z'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U' R D' R2' U R' D)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|z U' R D' R2 U R' D U' R D' R2 U R' D z'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|PLL|cube=3x3x3&stage=PLL}}

===R Permutation : a===
{{case
|image=r1.gif
|name=R-PLL a
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(y') R U' R' U' R U R D R' U' R D' R' U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 L2 U F U F' U' F' U' L2 F' U F' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg| R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL|cube=3x3x3&stage=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|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F (R U R' U') l' U' R2 (x')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|y' R U2 R' U2 R' F R2 U' R' U' R U R' F' R U R' U R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|y R2 F R U R U' R' F' R U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') L' U' L F L' U2 L U2 L F' L' U' L' U2 L U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' U2 L U L F L' U2 L' U2 L F' L' U L U'|PLL|cube=3x3x3&stage=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|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U' R' F R2 U' R' U F' L' U L|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U R2 U' R2 U' D R2 U' R2 U R2 D' |PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL|cube=3x3x3&stage=PLL}}

===V Permutation===
{{case
|image=V.gif
|name=V-PLL
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|z D' R2 D R2 U R' D' R U' R U R' D R U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' R D' R' D R' U D' R2 U' R2 D R2|PLL|cube=3x3x3&stage=PLL}}

===Y Permutation===
{{case
|image=Y.gif
|name=Y-PLL
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
{{Alg|R' U' R U' L R U2 R' U' R U2 L' U R2 U R|PLL}}
{{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' R' U R U' x D' R' U R' U' R' D R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 U R' F' R U R2 U' R' F R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 U y' R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|PLL|cube=3x3x3&stage=PLL}}

{{PLL}}

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

__NOTOC__

PLL

2020-01-19T14:38:28Z

2017DAOU01: /* R Permutation : b */

<seo title="PLL Algorithms - CFOP Speedcubing Cases" metak="pll algs, pll, pll algorithms, speedcubing" metad="Permutation of the last layer algorithms for the CFOP speedsolving method." />
{{Substep Infobox
|name=PLL
|image=PLLinfo.jpg
|proposers=[[Hans Dockhorn]], [[Anneke Treep]], [[Jessica Fridrich]]
|year=
|anames=
|variants=
|subgroup=<nowiki></nowiki>
|algs=21
|moves=11.8 [[HTM]]
|purpose=
* [[Speedsolving]]
|previous=[[OLL cube state]]
|next=[[Solved cube state]]
|previousimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]
|nextimage=[[Image:Mini maru.jpg|120px|left|link=Solved_cube_state]]

}}
'''PLL''' is the acronym for '''Permutation of the Last Layer'''. Permutation of the [[Last Layer]] is 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. If you like, 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:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]
* [[2-Sided PLL Recognition]]

== External links ==

* [http://algdb.net/puzzle/333/pll AlgDB PLL Page]
* [https://paritycasecubing.wordpress.com/2014/05/29/updated-pll-2sr-a-guide-to-recognising-plls-by-looking-at-only-two-sides-v2-0 "PLL 2SR: A guide to recognizing PLLs by looking at only two sides (V2.0)"] (Comparative pattern analysis of PLLs from all angles, by Parity Case)
* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html Recognize PLLs by patterns] (PLL patterns and Algs by RiDo)
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]
* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version
*[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series]
*[https://www.speedcubingtips.eu/pll/ speedcubingtips.eu PLL algs]

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

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

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

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

==Permutations of Edges and Corners==

===F Permutation===
{{case
|image=f.gif
|name=F-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|y L R2 U R U R2 U' R' U' R2 U' R U2 L' U R'|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F |PLL|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2|PLL|cube=3x3x3&stage=PLL|}}
{{Alg|M' U2 L F' R U2 r' U r' R2 U2 R2|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|(R' U R U') R2 (F' U' F U) (R F R' F') R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R U' R' U R U F R U R' U' x' D' R2 D R D' |Alg.1(svn)|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R U' R' U R U F R U R' U' x U' R2 U R U' |Alg.1(svn1)|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')|Alg.5(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y' z) R U R' U' R U2 (z' y') R U R' U' (y' x') R' U' R U R2 (x)|Alg.5(v3)|cube=3x3x3&stage=PLL}}
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=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 (D U' R' U) R D'|PLL|vidurl=http://www.youtube.com/watch?v=4hxXyedEvoE}}
{{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 D (U' R' U R) D'|PLL}}
{{Alg|(y2) F2' D (R' U R' U' R) D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}
{{Alg|(R U R' U' R') U F (R U R U' R') F' U R' U2 R|PLL}}
{{Alg|(y) L F2 R (F' L' F U) R' U' (F' L F' L')|PLL}}
{{Alg|(y) R2' S2 U l2' U' l2' u R2 U' r2' F2|PLL}}

===G Permutation : b===
{{case
|image=g2.gif
|name=G-PLL b
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|R' U' R U D' R2 U R' U R U' R U' R2 D|PLL|vidurl=http://www.youtube.com/watch?v=M6RDFenst9g}}
{{Alg|R' U' R (y) R2 u (R' U R U' R) u' R2|PLL}}
{{Alg|(y) F' U' F R2 u (R' U R U' R) u' R2'|PLL}}
{{Alg|R' U' R B2 D (L' U L U' L) D' B2|PLL}}
{{Alg|(y2) L' U' L (y') R2' u (R' U R U' R) u' R2|PLL}}
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R'|PLL}}
{{Alg|R2 D L2 D F2 L D R' D2 L D' R' U2 |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 D' U R U' R' D|PLL}}
{{Alg|(y) R2' u' (R U' R U R') u R2 (y) R U' R'|PLL}}
{{Alg|(y) R2' u' (R U' R U R') u R2 B U' B'|PLL}}
{{Alg|(y) R2' U' (R U' R U R') U R2 (D' U R U' R' D)|PLL}}
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|B2 L2 U' B2 D B2 D' R2 U M2 F2 (x2)|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) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U'|PLL}}

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

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

===J Permutation : b===
{{case
|image=j.gif
|name=J-PLL b
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) R' U L U' R U2' L' U L U2 L'||cube=3x3x3&stage=PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=RnfFAp3zBYw}}
{{Alg|R U2 R' U' R U2 L' U R' U' r x|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y) (R U' L) U2 (R' U R) U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|L' U R U' L U2 R' U R U2 R'|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|B2 (L U L') B2 (R D' R D) R2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 (R U R') F2 (L D' L D) L2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 (R U R') b2 (R U' R U) l2'|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') L2 u L u' L2 (x' y) (L U' L U) r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 x) U2 l U l' U2 r (U' L U) r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y') L2 (U D') L2 U L2 U' L2 D L2 U' L2|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|R2 U F U F' R2 F U' F' R2 U' R2 U'|Alg.13|cube=3x3x3&stage=PLL}}

===N Permutation : a===
{{case
|image=n1.gif
|name=N-PLL a
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|r' D r U2 r' D r U2 r' D r U2 r' D r U2 r' D r |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(L U' R U2 L' U R')2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U R' D R2 U' R D')2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D R' U R2 D' R U')2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'|Alg.1(v6)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}

===N Permutation : b===
{{case
|image=n.gif
|name=N-PLL b
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(R' U L' U2 R U' L)2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|z D' R U' R2 D R' U D' R U' R2 D R' U z'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U' R D' R2' U R' D)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|z U' R D' R2 U R' D U' R D' R2 U R' D z'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|PLL|cube=3x3x3&stage=PLL}}

===R Permutation : a===
{{case
|image=r1.gif
|name=R-PLL a
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(y') R U' R' U' R U R D R' U' R D' R' U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 L2 U F U F' U' F' U' L2 F' U F' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg| R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL|cube=3x3x3&stage=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|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F (R U R' U') l' U' R2 (x')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|y' R U2 R' U2 R' F R2 U' R' U' R U R' F' R U R' U R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|y R2 F R U R U' R' F' R U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y) L' U' L F L' U2 L U2 L F' L' U' L' U2 L U|PLL|cube=3x3x3&stage=PLL}}
{{Alg| L' U2 L U L F L' U2 L' U2 L F' L' U L U'|PLL|cube=3x3x3&stage=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|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U' R' F R2 U' R' U F' L' U L|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U R2 U' R2 U' D R2 U' R2 U R2 D' |PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL|cube=3x3x3&stage=PLL}}

===V Permutation===
{{case
|image=V.gif
|name=V-PLL
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|z D' R2 D R2 U R' D' R U' R U R' D R U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' R D' R' D R' U D' R2 U' R2 D R2|PLL|cube=3x3x3&stage=PLL}}

===Y Permutation===
{{case
|image=Y.gif
|name=Y-PLL
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
{{Alg|R' U' R U' L R U2 R' U' R U2 L' U R2 U R|PLL}}
{{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' R' U R U' x D' R' U R' U' R' D R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 U R' F' R U R2 U' R' F R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 U y' R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|PLL|cube=3x3x3&stage=PLL}}

{{PLL}}

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

__NOTOC__

PLL

2020-01-19T14:30:26Z

2017DAOU01: /* R Permutation : a */

<seo title="PLL Algorithms - CFOP Speedcubing Cases" metak="pll algs, pll, pll algorithms, speedcubing" metad="Permutation of the last layer algorithms for the CFOP speedsolving method." />
{{Substep Infobox
|name=PLL
|image=PLLinfo.jpg
|proposers=[[Hans Dockhorn]], [[Anneke Treep]], [[Jessica Fridrich]]
|year=
|anames=
|variants=
|subgroup=<nowiki></nowiki>
|algs=21
|moves=11.8 [[HTM]]
|purpose=
* [[Speedsolving]]
|previous=[[OLL cube state]]
|next=[[Solved cube state]]
|previousimage=[[Image:OLLinfo.png|120px|left|link=OLL cube state]]
|nextimage=[[Image:Mini maru.jpg|120px|left|link=Solved_cube_state]]

}}
'''PLL''' is the acronym for '''Permutation of the Last Layer'''. Permutation of the [[Last Layer]] is 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. If you like, 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:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]
* [[2-Sided PLL Recognition]]

== External links ==

* [http://algdb.net/puzzle/333/pll AlgDB PLL Page]
* [https://paritycasecubing.wordpress.com/2014/05/29/updated-pll-2sr-a-guide-to-recognising-plls-by-looking-at-only-two-sides-v2-0 "PLL 2SR: A guide to recognizing PLLs by looking at only two sides (V2.0)"] (Comparative pattern analysis of PLLs from all angles, by Parity Case)
* [http://rishidoshi.blogspot.com/2010/12/pllpatterns.html Recognize PLLs by patterns] (PLL patterns and Algs by RiDo)
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=19867 Recognizing PLLs from only 2 sides]
* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version
*[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series]
*[https://www.speedcubingtips.eu/pll/ speedcubingtips.eu PLL algs]

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

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

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

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

==Permutations of Edges and Corners==

===F Permutation===
{{case
|image=f.gif
|name=F-PLL
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|y L R2 U R U R2 U' R' U' R2 U' R U2 L' U R'|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|PLL|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F |PLL|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2|PLL|cube=3x3x3&stage=PLL|}}
{{Alg|M' U2 L F' R U2 r' U r' R2 U2 R2|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|(R' U R U') R2 (F' U' F U) (R F R' F') R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R U' R' U R U F R U R' U' x' D' R2 D R D' |Alg.1(svn)|cube=3x3x3&stage=PLL|}}
{{Alg|y2 R U' R' U R U F R U R' U' x U' R2 U R U' |Alg.1(svn1)|cube=3x3x3&stage=PLL|}}
{{Alg|R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}
{{Alg|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}
{{Alg|(y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')|Alg.5(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y' z) R U R' U' R U2 (z' y') R U R' U' (y' x') R' U' R U R2 (x)|Alg.5(v3)|cube=3x3x3&stage=PLL}}
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=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 (D U' R' U) R D'|PLL|vidurl=http://www.youtube.com/watch?v=4hxXyedEvoE}}
{{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 D (U' R' U R) D'|PLL}}
{{Alg|(y2) F2' D (R' U R' U' R) D' F2 L' U L|PLL}}
{{Alg|R L U2 R' L' (y') R' U L' U2 R U' L|PLL}}
{{Alg|(R U R' U' R') U F (R U R U' R') F' U R' U2 R|PLL}}
{{Alg|(y) L F2 R (F' L' F U) R' U' (F' L F' L')|PLL}}
{{Alg|(y) R2' S2 U l2' U' l2' u R2 U' r2' F2|PLL}}

===G Permutation : b===
{{case
|image=g2.gif
|name=G-PLL b
|methods=PLL, [[ZBLL]]
|optimal=12 [[HTM]]
|text=
}}
{{Alg|R' U' R U D' R2 U R' U R U' R U' R2 D|PLL|vidurl=http://www.youtube.com/watch?v=M6RDFenst9g}}
{{Alg|R' U' R (y) R2 u (R' U R U' R) u' R2|PLL}}
{{Alg|(y) F' U' F R2 u (R' U R U' R) u' R2'|PLL}}
{{Alg|R' U' R B2 D (L' U L U' L) D' B2|PLL}}
{{Alg|(y2) L' U' L (y') R2' u (R' U R U' R) u' R2|PLL}}
{{Alg|(y') R' U L' U2 R U' L (y) R L U2 L' R'|PLL}}
{{Alg|R2 D L2 D F2 L D R' D2 L D' R' U2 |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 D' U R U' R' D|PLL}}
{{Alg|(y) R2' u' (R U' R U R') u R2 (y) R U' R'|PLL}}
{{Alg|(y) R2' u' (R U' R U R') u R2 B U' B'|PLL}}
{{Alg|(y) R2' U' (R U' R U R') U R2 (D' U R U' R' D)|PLL}}
{{Alg|(y) R2' D' F U' F U F' D R2 B U' B'|PLL}}
{{Alg|(y2) F2' D' L U' L U L' D F2 R U' R'|PLL}}
{{Alg|L' U' L U L U' F' L' U' L' U L F U' L U2 L'|PLL}}
{{Alg|L' R' U2 L R (y) L U' R U2 L' U R'|PLL}}
{{Alg|B2 L2 U' B2 D B2 D' R2 U M2 F2 (x2)|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) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U'|PLL}}

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

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

===J Permutation : b===
{{case
|image=j.gif
|name=J-PLL b
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=10 [[HTM]]
|text=
}}
{{Alg|(y2) R' U L U' R U2' L' U L U2 L'||cube=3x3x3&stage=PLL}}
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=RnfFAp3zBYw}}
{{Alg|R U2 R' U' R U2 L' U R' U' r x|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y) (R U' L) U2 (R' U R) U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|L' U R U' L U2 R' U R U2 R'|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|B2 (L U L') B2 (R D' R D) R2|Alg.2|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 (R U R') F2 (L D' L D) L2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) F2 (R U R') b2 (R U' R U) l2'|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') L2 u L u' L2 (x' y) (L U' L U) r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 x) U2 l U l' U2 r (U' L U) r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
{{Alg|(y') L2 (U D') L2 U L2 U' L2 D L2 U' L2|Alg.6(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']
{{Alg|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|R2 U F U F' R2 F U' F' R2 U' R2 U'|Alg.13|cube=3x3x3&stage=PLL}}

===N Permutation : a===
{{case
|image=n1.gif
|name=N-PLL a
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|r' D r U2 r' D r U2 r' D r U2 r' D r U2 r' D r |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(L U' R U2 L' U R')2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U R' D R2 U' R D')2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y z) R' (U R' D R2 U' R D')2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D R' U R2 D' R U')2 (z')|Alg.1(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'|Alg.1(v6)|cube=3x3x3&stage=PLL}}
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}

===N Permutation : b===
{{case
|image=n.gif
|name=N-PLL b
|methods=PLL, [[ZBLL]], [[ZZLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(R' U L' U2 R U' L)2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|z D' R U' R2 D R' U D' R U' R2 D R' U z'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z) (U' R D' R2' U R' D)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|z U' R D' R2 U R' D U' R D' R2 U R' D z'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|PLL|cube=3x3x3&stage=PLL}}

===R Permutation : a===
{{case
|image=r1.gif
|name=R-PLL a
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|(y') R U' R' U' R U R D R' U' R D' R' U2 R'|PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 L2 U F U F' U' F' U' L2 F' U F' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U' R F2 U R U R U' R' U' F2 R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R U R' F' R U2 R' U2 R' F R U R U2 R' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg| R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|PLL|cube=3x3x3&stage=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|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F (R U R' U') l' U' R2 (x')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|y' R U2 R' U2 R' F R2 U' R' U' R U R' F' R U R' U R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|y R2 F R U R U' R' F' R U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y x) R2 U l U R U' l' U' l U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') r' L' U r U L U' r' U' r U2 L' U2 L|PLL|cube=3x3x3&stage=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|cube=3x3x3&stage=PLL}}
{{Alg|F R U' R' U R U R2 F' R U R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U R' U' R' F R2 U' R' U F' L' U L|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U R2 U' R2 U' D R2 U' R2 U R2 D' |PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL|cube=3x3x3&stage=PLL}}

===V Permutation===
{{case
|image=V.gif
|name=V-PLL
|methods=PLL, [[ZBLL]]
|optimal=14 [[HTM]]
|text=
}}
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' d' R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|z D' R2 D R2 U R' D' R U' R U R' D R U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' R D' R' D R' U D' R2 U' R2 D R2|PLL|cube=3x3x3&stage=PLL}}

===Y Permutation===
{{case
|image=Y.gif
|name=Y-PLL
|methods=PLL, [[ZBLL]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
{{Alg|R' U' R U' L R U2 R' U' R U2 L' U R2 U R|PLL}}
{{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' R' U R U' x D' R' U R' U' R' D R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 U R' F' R U R2 U' R' F R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R2 U' R2 U' R2 U y' R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|PLL|cube=3x3x3&stage=PLL}}

{{PLL}}

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

__NOTOC__