Difference between revisions of "PLL"

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{{Method Infobox
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<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." />
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{{Substep Infobox
 
|name=PLL
 
|name=PLL
 
|image=PLLinfo.jpg
 
|image=PLLinfo.jpg
|proposers=
+
|proposers=[[Hans Dockhorn]], [[Anneke Treep]], [[Jessica Fridrich]]
 
|year=
 
|year=
 
|anames=
 
|anames=
 
|variants=
 
|variants=
|steps=1
+
|subgroup=<nowiki></nowiki>
 
|algs=21
 
|algs=21
 
|moves=11.8 [[HTM]]
 
|moves=11.8 [[HTM]]
 
|purpose=<sup></sup>
 
|purpose=<sup></sup>
 
* [[Speedsolving]]
 
* [[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 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''' 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]].
  
  
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== See also ==
 
== See also ==
 
* [[2-Look PLL]]
 
* [[2-Look PLL]]
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?mode=view&view=default&puzzle=3&group=PLL PLL Algorithm Database]
+
* [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 ==
 
== 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://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)
 
* [http://mordred.awardspace.us/PLLCheatSheet.pdf PLL Cheat Sheet] (Printable PDF of all PLL algorithms on a single page)
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* [http://rishidoshi.blogspot.in/2010/11/2-sided-pll-recognition-play-tool-excel.html Recognizing PLLs from only 2 sides] - Improved version
 
* [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]
 
*[http://www.youtube.com/watch?v=pnnb2rgLRuU&list=PLR6AczKIDIf2YOjujNNPvif3EPrNS2Jhz|PLL YouTube series]
 +
*[https://www.speedcubingtips.eu/pll/ speedcubingtips.eu PLL algs]
  
 
=PLL algorithms=
 
=PLL algorithms=
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|text=
 
|text=
 
}}
 
}}
{{Alg|R' U R U' R2 F' U' F U R F R' F' R2 U'|Alg.1|cube=3x3x3&stage=PLL|}}
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{{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|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|R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.1(v3)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=QA5DZnPYVzE}}
 
{{Alg|(y’) L U F L' U' L U L F' L2 U L U L' U' L U' L'|Alg.1(v4)|cube=3x3x3$stage=PLL}}
 
Decomposition(Alg.1) = [R', U] [R2: [F', U'] [R, F] ] (U')
 
{{Alg|L' U2 L' U' F' L' F2 U' F' U F' L F U' L|Alg.2|cube=3x3x3&stage=PLL}}
 
 
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
 
{{Alg|(y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F|Alg.2(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=yangrM_N1Pc#t=00m30s}}
Decomposition(Alg.2) = [L' U: [U: (L')] [F' L' F: [F, U'] ] ]
 
{{Alg|L B2 F' D2 B R' B' D2 F2 L' F' L B2 L'|Alg.3|cube=3x3x3&stage=PLL}}
 
 
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}
 
{{Alg|(y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')|Alg.3(v2)|cube=3x3x3&stage=PLL|}}
Decomposition(Alg.3) = [L B2: [F' D2 B: (R')] [F, L'] ]
 
 
{{Alg|B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B|Alg.4|cube=3x3x3&stage=PLL}}
 
{{Alg|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|(y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.4) = [B' U': [R': [B, U] [B', R] ] [B U' B': (U')] ]
 
 
{{Alg|L U' L' U L2 F U F' U' L' F' L F L2 U|Alg.5|cube=3x3x3&stage=PLL}}
 
{{Alg|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|(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|(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}}
Decomposition(Alg.5) = [L, U'] [L2: [F, U] [L', F'] ] (U)
 
{{Alg|R' U2 R' U2 L U' R' U' R' U R U2 L' U2 R U R|Alg.6|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.6) = [R' U': [R' U2 L U': [U, L' U2 R] [U' R' U': (R')] ] ]
 
{{Alg|L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'|Alg.7|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.7) = [L2: [L', U2] [R': [U L U: (L)] [U', R] ] [U, L'] ]
 
{{Alg|L R' F2 R' D L' F2 R U' L2 R B2 L2 U|Alg.8|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2) M U2 r' U l' U2 r U' R2 r U2 R2 (x')|Alg.8(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.8) = [L R': [F2 R': (D)] [F2, L' R'] ] [R', U'] [U' L2: B2]
 
 
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=PLL}}
 
{{Alg|L F R' F' L' F' D2 B' L' B D2 F' R F2|Alg.9|cube=3x3x3&stage=PLL}}
{{Alg|(r U R' U') (z) U' (l' U2 r' U') (r U2 l' U R2) (x)|Alg.9(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.9) = [F2 R': [R, F2 L F] [F D2 B': (L')] ]
 
{{Alg|R B2 D B2 R' B' R B' D2 F L' F' D B2 R'|Alg.10|cube=3x3x3&stage=PLL}}
 
{{Alg|(y x) U R2 F R2 U' R' U l' U2 L F' L' U (x') R2 U' (x')|Alg.10(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.10) = [R B2 D: [B2: [R', B'] ] [D2 F: (L')] ]
 
{{Alg|B U B' U B U2 B2 U' B U' B' U2 B U F R B' R' F' R B R'|Alg.11|cube=3x3x3&stage=PLL}}
 
{{Alg|(y) (R U R' U R U2 R2) (U' R U' R' U2 R) U (r U R' U' r' F R F')|Alg.11(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.11) = [B: (U)] [U': [U2, B] [B', U'] [U2, B'] ] [F, R B' R']
 
{{Alg|F2 B2 D F2 B2 R U R' U' R' F R2 U' R' U' R U R' F B2 D' F2 B2|Alg.12|cube=3x3x3&stage=PLL}}
 
{{Alg|(y) M2 U M2 (y') (R U R' U' R' F R2 U' R' U' R U R' F') (y) M2 U' M2|Alg.12(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.12) = [F2 B2 D B2 F': [F': [R, U] [R', F] ] [R U' R': (U')] ]
 
{{Alg|R U' F R F' U F' U' F2 R' F' U' R' U2 R'|Alg.13|cube=3x3x3&stage=PLL}}
 
{{Alg|(y) F U' r U r' U r' F' r2 U' r' U' F' U2 F'|Alg.13(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.13) = [R U': [F R F': [U, F'] ] [U': (R')] ]
 
  
 
===G Permutation : a===
 
===G Permutation : a===
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|text=
 
|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 (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 D U' R' U R D'|PLL}}
+
{{Alg|(y) R2' u (R' U R' U' R) u' R2 (y') R' U R|PLL}}
{{Alg|(y2) F2' D R' U R' U' R D' F2 L' U L|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 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|(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) 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===
 
===G Permutation : b===
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|text=
 
|text=
 
}}
 
}}
{{Alg|R' U' R (y) R2 u R' U R U' R u' R2|PLL}}
+
{{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|(y) F' U' F R2 u R' U R U' R u' R2'|PLL}}
+
{{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|(y) F' U' F R2 u (R' U R U' R) u' R2'|PLL}}
{{Alg|(y2) L' U' L (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|(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}}
 
{{Alg|R2 D L2 D F2 L D R' D2 L D' R' U2 |PLL}}
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|text=
 
|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 D' U R U' R' D|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 (y) R U' R'|PLL}}
{{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 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|(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|(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' 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|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') 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') l' U2' L' U l F' U' L U F R' F R|PLL}}
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|text=
 
|text=
 
}}
 
}}
{{Alg|(y2) R U R' (y') R2 u' R U' R' U R' u R2|PLL}}
+
{{Alg|(y2) R U R' U' D R2 U' R U' R' U R' U R2 D'|PLL}}
{{Alg|(y2) R U R' F2 D' L U' L' U L' D F2|PLL}}
+
{{Alg|(y2) R U R' (y') R2 u' (R U' R' U R') u R2|PLL}}
{{Alg|(y2) L U2 L' U F' L' U' L U L F U L' U' L' U L|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|(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) R' L' U2 R L|PLL}}
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{{case
 
{{case
 
|image=j1.gif
 
|image=j1.gif
|name=J-PLL a
+
|name=J-PLL a, L-perm
 
|methods=PLL, [[ZBLL]], [[BLD]]
 
|methods=PLL, [[ZBLL]], [[BLD]]
 
|optimal=10 [[HTM]]
 
|optimal=10 [[HTM]]
 
|text=
 
|text=
 
}}
 
}}
{{Alg|B' U F' U2 B U' B' U2 F B U'|Alg.1|cube=3x3x3&stage=PLL}}
+
{{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|(y) R' U L' U2 R U' R' U2 R L|Alg.1(v2)|cube=3x3x3&stage=PLL}}
+
{{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|(y') L' U R' U2 L U' L' U2 R L|Alg.1(v3)|cube=3x3x3&stage=PLL}}
+
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|Alg.3|cube=3x3x3&stage=PLL}}
{{Alg|(y') L' U R' (z) R2 U R' U' R2 U D (z')|Alg.1(v4)|cube=3x3x3&stage=PLL}}
+
{{Alg|y2 R' U2 R U R' U2 L U' R U L'|Alg.1(v4)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [B' U: [F' U2 B: (U')] [B, U'] ]
+
{{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|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 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) F2 L' U' L b2 L' U L' U' r2|Alg.2(v3)|cube=3x3x3&stage=PLL}}
{{Alg|(y x') R2 u' R' u R2 (x' y') R' U R' U' l2'|Alg.2(v4)|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2 x) U2 r' U' r U2 l' U R' U' l2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2) l2 U R U' l U2 r' U r U2 (x')|Alg.2(v6):Inv(Alg.2(v5))|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.2) = [B2 R': (U')] [L': [D, L'] ]
 
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|Alg.3|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.3) = [L' R': [R, U] [U' L U', R] (U) [U, L] ]
 
{{Alg|L' U' L F L' U' L U L F' L2 U L U|Alg.4|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.4) = [L' U' L F: [L', U'] [L, F'] ] (U)
 
{{Alg|B2 R2 U' R2 D B2 D' B2 U B2 U'|Alg.5|cube=3x3x3&stage=PLL}}
 
{{Alg|B2' R2 U' R2' u R2 D' R2' U R2|Alg.5(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.5) = [B2: [R2: (U')] [D, B2] [U, B2] ]
 
{{Alg|B2 U' D B2 U' B2 U B2 D' B2 U B2 U'|Alg.6|cube=3x3x3&stage=PLL}}
 
{{Alg|(y) R2 (U' D) R2' U' R2 U R2' D' R2 U R2'|Alg.6(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.6) = [D B2: [B2, D'] (U') [B2, U'] ] [B2, U]
 
{{Alg|L' U2 L U L' U2 R U' L U R'|Alg.7|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2) R' U2 R U R' U2' L U' R U L'|Alg.7(v2)|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/}}
 
 
{{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(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|(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|(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 U' L' U R' U2 L U' L' U2' L|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U' R' U L' U2 R U' R' U2 R|Alg.7(v7):Inv(Alg.7(v2))|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=0Q0aiSuVxe8}}
 
Decomposition(Alg.7) = [L': [U2 L: (U)] [R: [U', L]] ]
 
 
{{Alg|R' L' U2 L U L' U2 R U' L U|Alg.8|cube=3x3x3&stage=PLL}}
 
{{Alg|R' L' U2 L U L' U2 R U' L U|Alg.8|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' R' U2 R U R' U2 L U' R|Alg.8(v2)|cube=3x3x3&stage=PLL}}
 
{{Alg|R' L' d2 R U R' d2 R U' L|Alg.8(v3)|cube=3x3x3&stage=PLL}}
 
{{Alg|(z) U' D' R2 U R U' R2 (z') R U' L|Alg.8(v4)|cube=3x3x3&stage=PLL}}
 
{{Alg|(y') L' U R' U2 L U' L' U2 L R|Alg.8(v5):Inv(Alg.8)|cube=3x3x3&stage=PLL}}
 
{{Alg|(y') L' U R' (z) R2 U R' U' R2 U D (z')|Alg.8(v6):Inv(Alg.8(v4))|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.8) = [L': [R' U2 L: (U)] [U', L] ]
 
{{Alg|B U' L' B L2 U' L' U' L U L' B' L U L' B'|Alg.9|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2) F U' R' F R2 U' R' U' R U R' F' R U R' F'|Alg.9(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.9) = [B L U' L' B: [B' L U, L'] [L, U'] (U') [U', L] ]
 
{{Alg|B' U B' R2 F D' F D F2 R2 B2|Alg.10|cube=3x3x3&stage=PLL}}
 
{{Alg|(y) R' U l' U2 r U' L U r2 F2 R2|Alg.10(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.10) = [B2: [B: (U)] [R2 F: [D', F] ] ]
 
  
 
===J Permutation : b===
 
===J Permutation : b===
Line 224: Line 189:
 
|text=
 
|text=
 
}}
 
}}
{{Alg|B U' F U2 B' U B U2 F' B' U|Alg.1|cube=3x3x3&stage=PLL}}
+
{{Alg|(y2) R' U L U' R U2' L' U L U2 L'||cube=3x3x3&stage=PLL}}
{{Alg|(y') L U' R U2 L' U L U2 R' L'|Alg.1(v2)|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|(y) R U' L U2 R' U R U2 L' R'|Alg.1(v3)|cube=3x3x3&stage=PLL}}
+
{{Alg|R U2 R' U' R U2 L' U R' U' r x|Alg.1|cube=3x3x3&stage=PLL}}
{{Alg|(y) R U' L (z') L2 U' L U L2 D' U' (z)|Alg.1(v4)|cube=3x3x3&stage=PLL}}
+
{{Alg|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|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}}
Decomposition(Alg.1) = [B U': [F U2 B': (U)] [B', U] ]
+
{{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|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') 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|(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|(y' x') L2 u L u' L2 (x' y) (L U' L U) r2|Alg.2(v4)|cube=3x3x3&stage=PLL}}
{{Alg|(y2 x) U2 l U l' U2 r U' L U r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
+
{{Alg|(y2 x) U2 l U l' U2 r (U' L U) r2|Alg.2(v5)|cube=3x3x3&stage=PLL}}
{{Alg|(y2) r2 U' L' U r' U2 l U' l' U2 (x')|Alg.2(v6):Inv(Alg.2(v5))|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.2) = [B2 L: (U)] [R: [D', R] ]
 
 
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}
 
{{Alg|R U' L U2 R' U L' U' R U' L U2 R' U L'|Alg.3|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [L R: [L', U'] [U R' U, L'] (U') [U', R'] ]
 
{{Alg|R U R' F' R U R' U' R' F R2 U' R' U'|Alg.4|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.4) = [R U R' F': [R, U] [R', F]] (U')
 
{{Alg|B2 L2 U L2 D' B2 D B2 U' B2 U|Alg.5|cube=3x3x3&stage=PLL}}
 
{{Alg|B2 L2 U L2 u' L2 D L2 U' L2|Alg.5(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.5) = [B2: [L2: (U)] [D', B2] [U', B2] ]
 
 
{{Alg|B2 U D' B2 U B2 U' B2 D B2 U' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
 
{{Alg|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}}
 
{{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']
 
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|R U2 R' U' R U2 L' U R' U' L|Alg.7|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U' L U2' R' U L' U' R|Alg.7(v2)|cube=3x3x3&stage=PLL}}
+
{{Alg|R2 U F U F' R2 F U' F' R2 U' R2 U'|Alg.13|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U' L (z') L2' U' L D' L' U (z)|Alg.7(v3)|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2) L U2' L' U' L (z') L2' U' L D' L' U (z)|Alg.7(v4)|cube=3x3x3&stage=PLL}}
 
{{Alg|(z') D' L U L' D L' (L' U' L U) L2' U' (z)|Alg.7(v5)|cube=3x3x3&stage=PLL}}
 
{{Alg|L' U R U' L U2 R' U R U2' R'|Alg.7(v6):Inv(Alg.7)|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2) R' U L U' R U2 L' U L U2 L'|Alg.7(v7):Inv(Alg.7(v2))|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.7) = [R: [U2 R': (U')] [L': [U, R'] ] ]
 
{{Alg|L R U2 R' U' R U2 L' U R' U'|Alg.8|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2) R L U2 L' U' L U2 R' U L'|Alg.8(v2)|cube=3x3x3&stage=PLL}}
 
{{Alg|L R d2 L' U' L d2 L' U R'|Alg.8(v3)|cube=3x3x3&stage=PLL}}
 
{{Alg|(z') U D L2 U' L' U L2 (z) L' U R'|Alg.8(v4)|cube=3x3x3&stage=PLL}}
 
{{Alg|(y) R U' L U2 R' U R U2 R' L'|Alg.8(v5):Inv(Alg.8)|cube=3x3x3&stage=PLL}}
 
{{Alg|(y) R U' L (z') L2 U' L U L2 U' D' (z)|Alg.8(v6):Inv(Alg.8(v4))|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.8) = [R: [L U2 R': (U')] [U, R'] ]
 
{{Alg|B' U R B' R2 U R U R' U' R B R' U' R B|Alg.9|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2) F' U L F' L2 U L U L' U' L F L' U' L F|Alg.9(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.9) = [B' R' U R B': [B R' U', R] [R', U] (U) [U, R'] ]
 
{{Alg|B U' B L2 F' D F' D' F2 L2 B2|Alg.10|cube=3x3x3&stage=PLL}}
 
{{Alg|(y') L U' r U2 l' U R' U' l2 F2 L2|Alg.10(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.10) = [B2: [B': (U')] [L2 F': [D, F'] ] ]
 
  
 
===N Permutation : a===
 
===N Permutation : a===
Line 277: Line 215:
 
|text=
 
|text=
 
}}
 
}}
{{Alg|(L U' R U2 L' U R')2 U'|Alg.1|cube=3x3x3&stage=PLL}}
+
{{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|(z) (U R' D R2 U' R D')2 (z')|Alg.1(v2)|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|(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|(R U' L U2 R' U L')2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
Line 284: Line 224:
 
{{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|(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}}
 
{{Alg|R U' L d2 L' U L R' U' R U2 r' F l'|Alg.1(v7)|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [L R: [R', U'] [U2: [U': [L', U] ] [R', U'] ] [U', L'] ] (U')
 
{{Alg|L U' L' U L F U F' L' U' L F' L F L' U L'|Alg.2|cube=3x3x3&stage=PLL}}
 
{{Alg|(z) U R' U' R U F R F' U' R' U F' U F U' R U' (z')|Alg.2(v2)|cube=3x3x3&stage=PLL}}
 
{{Alg|(L U' L F') L' F (L' U L) F U' (F' L' U' L U) L'|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.2) = [L U': [L' U L F: (U)] [F', L] ]
 
{{Alg|R U' R' U R B U B' R' U' R B' R B R' U R'|Alg.3|cube=3x3x3&stage=PLL}}
 
{{Alg|R U' R' U l U F U' R' F' R U' R U l' U R'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.3) = [R U': [R' U R B: (U)] [B', R] ]
 
{{Alg|R' U R2 B2 U R' B2' R U' B2 R2' U' R U'|Alg.4|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.4) = [R' U R2 B2 U R': B2] (U')
 
{{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|Alg.5|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.5) = [F' R U, R'] [R F U' R': (U')]
 
{{Alg|R U R' U (R U R' F' R U R' U' R' F R2 U' R') U2 R U' R'|Alg.6|cube=3x3x3&stage=PLL|vidurl=http://www.youtube.com/watch?v=pnnb2rgLRuU}}
 
Decompositon(Alg.6) = [R U R': [U2: [U', R] [F' R U, R'] [R, U'] ] (U')]
 
{{Alg|R U R' B U B' R' B U B' U' B' R B2 U' B' U' R U' R'|Alg.7|cube=3x3x3&stage=PLL}}
 
{{Alg|L U L' (y') (R U R' F' R U R' U' R' F R2 U' R') (y') U' R U' R'|Alg.7(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.7) = [R U R': [B U B' R': [B, U] [B', R]] (U')]
 
{{Alg|L2 U2 L' U2 F2 L2 F2 L F2 U2 L2 U2 L F2|Alg.8|cube=3x3x3&stage=PLL}}
 
{{Alg|(z) U2 R2 U' R2 (y') R2 U2 R2 U R2 (y) R2 U2 R2 d R2 (x')|Alg.8(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.8) = [L: [L, U2] [F2, L2] ] [F2: [U2, L2] (L')]
 
{{Alg|R U R' U' L U2 L' U' L U2 R' U L' U' R U R U' R'|Alg.9|cube=3x3x3&stage=PLL}}
 
{{Alg|(R U R' U') L U2 L' U' L (z') L2 U' L D' L' U (L U L' U') (z)|Alg.9(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.9) = [R U R' U': [L: [U2 L': (U')] [R' U, L'] ] ]
 
{{Alg|L' U L2 F2 U L' F2 L U' F2 L2 U' L U'|Alg.10|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.10) = [L' U L2 F2 U L': F2] (U')
 
{{Alg|L2 F2 U2 F2 U' F2 L2 U2 L2 U' F2 U2 L2 U'|Alg.11|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.11) = [L2 U F2: [F2, U'] [U, F2] [L2, U2] [U, F2] ] (U')
 
{{Alg|(L U L' U) (R' U L U') R U2 (L' U L U2) L' (U' L U' L')|Alg.12|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.12) = [L U L' U: [L: [R': [L', U] ] [U2 L': (U)] ] ]
 
  
 
===N Permutation : b===
 
===N Permutation : b===
Line 322: Line 233:
 
|text=
 
|text=
 
}}
 
}}
{{Alg|(R' U L' U2 R U' L)2 U|Alg.1|cube=3x3x3&stage=PLL}}
+
{{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')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
+
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y' z') L (U' L D' L2 U L' D)2 (z)|Alg.1(v3)|cube=3x3x3&stage=PLL}}
+
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|(L' U R' U2' L U' R)2|Alg.1(v4)|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')|Alg.1(v5)|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' U' (z') R U R' (z) R2 U R' (z') R|Alg.1(v6)|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|Alg.1(v7)|cube=3x3x3&stage=PLL}}
+
{{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|PLL|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [L' R': [L, U] [U2: [U: [R, U'] ] [L, U] ] [U, R] ] (U)
 
{{Alg|R' U R U' R' F' U' F R U R' F R' F' R U' R|Alg.2|cube=3x3x3&stage=PLL}}
 
{{Alg|(z') U' L U L' U' F' L' F U L U' F U' F' U L' U (z)|Alg.2(v2)|cube=3x3x3&stage=PLL}}
 
{{Alg|(R' U R' F) R F' (R U' R') F' U (F R U R' U') R|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.2) = [R' U: [R U' R' F': (U')] [F, R'] ]
 
{{Alg|L' U L U' L' B' U' B L U L' B L' B' L U' L|Alg.3|cube=3x3x3&stage=PLL}}
 
{{Alg|L' U L U' r' U' F' U L F L' U L' U' r U' L|Alg.3(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.3) = [L' U: [L U' L' B': (U')] [B, L'] ]
 
{{Alg|L U' L2 B2 U' L B2 L' U B2 L2 U L' U|Alg.4|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.4) = [L U' L2 B2 U' L: B2] (U)
 
{{Alg|F L' U' L U L F' L2 F' U L U L' U' F L|Alg.5|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.5) = [F L' U', L] [L' F' U L: (U)]
 
{{Alg|L' U' L U' (L' U' L F L' U' L U L F' L2 U L) U2 L' U L|Alg.6|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.6) = [L' U' L: [U2: [U, L'] [F L' U', L] [L', U] ] (U)]
 
{{Alg|L' U' L B' U' B L B' U' B U B L' B2 U B U L' U L|Alg.7|cube=3x3x3&stage=PLL}}
 
{{Alg|R' U' R (y) (L' U' L F L' U' L U L F' L2 U L) (y) U L' U L|Alg.7(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.7) = [L' U' L: [B' U' B L: [B', U'] [B, L']] (U)]
 
{{Alg|R2 U2 R U2 F2 R2 F2 R' F2 U2 R2 U2 R' F2|Alg.8|cube=3x3x3&stage=PLL}}
 
{{Alg|(z') U2 L2 U L2 (y) L2 U2 L2 U' L2 (y') L2 U2 L2 d' L2 (x')|Alg.8(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.8) = [R': [R', U2] [F2, R2] ] [F2: [U2, R2] (R)]
 
{{Alg|L' U' L U R' U2 R U R' U2 L U' R U L' U' L' U L|Alg.9|cube=3x3x3&stage=PLL}}
 
{{Alg|(L' U' L U) R' U2' R U R' (z) R2 U R' D R U' (R' U' R U) (z')|Alg.9(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.9) = [L' U' L U: [R': [U2 R: (U)] [L U', R] ] ]
 
{{Alg|R U' R2' F2 U' R F2' R' U F2 R2 U R' U|Alg.10|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.10) = [R U' R2 F2 U' R: F2] (U)
 
{{Alg|R2 F2 U2 F2 U F2 R2 U2 R2 U F2 U2 R2 U|Alg.11|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.11) = [R2 U' F2: [F2, U] [U', F2] [R2, U2] [U', F2] ] (U)
 
{{Alg|(R' U' R U') (L U' R' U) L' U2 (R U' R' U2) R (U R' U R)|Alg.12|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.12) = [R' U' R U': [R': [L: [R, U'] ] [U2 R: (U')] ] ]
 
 
 
  
 
===R Permutation : a===
 
===R Permutation : a===
Line 368: Line 249:
 
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}}
 
}}
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|Alg.1|cube=3x3x3&stage=PLL}}
+
{{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 l U R2 (x)|Alg.1(v2)|cube=3x3x3&stage=PLL}}
+
{{Alg|R U2 R' U2 R B' R' U' R U R B R2 U|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|Alg.1(v3)|cube=3x3x3&stage=PLL}}
+
{{Alg|R U2 R' U2 R B' R' U' R U l U R2 (x)|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|Alg.1(v4)|cube=3x3x3&stage=PLL}}
+
{{Alg|(y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|Alg.1(v5):Inv(Alg.1)|cube=3x3x3&stage=PLL}}
+
{{Alg|(y2) L U2 L' U2 L F' L' U' L U L F L2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|Alg.1(v6):Inv(Alg.1(v4))|cube=3x3x3&stage=PLL}}
+
{{Alg|(y') R2 B' R' U' R' U R B R' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|Alg.1(v7)|cube=3x3x3&stage=PLL}}
+
{{Alg|(y) L2 F' L' U' L' U L F L' U2 L U2 L'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|Alg.1(v8)|cube=3x3x3&stage=PLL}}
+
{{Alg|F2 R' F' U' F' U F R F' U2 F U2 F'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R l U' l' U' R' U l U l' U2 R U2' R'|Alg.1(v9)|cube=3x3x3&stage=PLL}}
+
{{Alg|(y' x') R2 U' l' U' R' U l U l' U2 R U2 R'|PLL|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [R, U2] [R B' R', U' R U] [U' R: (U)]
+
{{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'|Alg.2|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|Alg.2(v2)|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'|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
+
{{Alg|(y') R2 F2 U R U R' U' R' U' F2 R' U R'|PLL|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [R U': [R F2 U R U: (R)] [R', U] ]
 
{{Alg|F U F' L' F U2 F' U2 F' L F U F U2 F' U'|Alg.3|cube=3x3x3&stage=PLL}}
 
{{Alg|(y') R U R' F' R U2 R' U2 R' F R U R U2 R'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.3) = [F U F' L' F U2, F'] [U2, F] (U')
 
{{Alg|R U2 R' U' R' F' R U2 R U2 R' F R U' R' U|Alg.4|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.4) = [R: [U2 R' U2, U R' F' R] ] (U)
 
{{Alg|L' U' L U2 L U2 R' L2 U L U' L R U2 L' U2|Alg.5|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2) R' U' R U2 R U2 L' R2 U R U' R L U2 R'|Alg.5(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.5) = [L': (U')] [U2, L] [R': [L', U] ] [L, U2]
 
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|Alg.6|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.6) = [U' R: [R', U] [U', R D R'] [U' R': (U)] ]
 
{{Alg|F U' F' U' F U F D F' U' F D' F' U2 F' U'|Alg.7|cube=3x3x3&stage=PLL}}
 
{{Alg|(y') R U' R' U' R U R D R' U' R D' R' U2 R'|Alg.7(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.7) = [F: [U' F': (U')] [F D F', U'] [U, F'] ]
 
{{Alg|B' L' U' L B' L' U B' U' B' U B L B2|Alg.8|cube=3x3x3&stage=PLL}}
 
{{Alg|(y x') R' U' F' U R' U' (x) U R' U' R' U R B R2|Alg.8(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.8) = [B2 L': [L B L', U'] [B' U': (B')] ]
 
{{Alg|R U2 R' U B L' B' R B L B' U R' U|Alg.9|cube=3x3x3&stage=PLL}}
 
{{Alg|R U2 R' U (y) R B' R' F R B R' (z x) R U' (x' z')|Alg.9(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.9) = [R U' R': [R, U'] [B L' B', R] ] (U)
 
{{Alg|L U2 L2 B L B' L U2 L' F' L' U L U L' U' L F|Alg.10|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2) R U2 l' R' U R U' l U2 R' B' R' U R U R' U' R B|Alg.10(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.10) = [L U2 L': [L', B] ] [F' L': [U L: (U)] ]
 
{{Alg|R U2 R D R' U R D' R' U' R' U R U R' U|Alg.11|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.11) = [R U2: [R D R', U] [R', U] ] (U)
 
  
 
===R Permutation : b===
 
===R Permutation : b===
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}}
 
}}
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2' U'|Alg.1|cube=3x3x3&stage=PLL}}
+
{{Alg|R' U2 R U2 R' F (R U R' U') R' F' R2' U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U2 R U2 R' F R U R' U' l' U' R2 (x')|Alg.1(v2)|cube=3x3x3&stage=PLL}}
+
{{Alg|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)|Alg.1(v3)|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|Alg.1(v4)|cube=3x3x3&stage=PLL}}
+
{{Alg|R' U2 R U2 R' F R U R' U' R' F' R2|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y) R2 F R U R U' R' F' R U2 R' U2 R|Alg.1(v5):Inv(Alg.1)|cube=3x3x3&stage=PLL}}
+
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y) R2 F R U R U' R' F' R U2 R' U2 R|Alg.1(v6):Inv(Alg.1(v4))|cube=3x3x3&stage=PLL}}
+
{{Alg|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|B2 R B U B U' B' R' B U2 B' U2 B|Alg.1(v7)|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|Alg.1(v8)|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|Alg.1(v9)|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}}
Decomposition(Alg.1) = [R', U2] [R' F R, U R' U'] [U R': (U')]
 
{{Alg|B2 L2 U' B' U' B U B U L2 B U' B U|Alg.2|cube=3x3x3&stage=PLL}}
 
{{Alg|R' U R' B2 U' R' U' R' U R U B2 R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
 
{{Alg|(y) R2 B2 U' R' U' R U R U B2 R U' R|Alg.2(v3):Inv(Alg.2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.2) = [R' U: [R' B2 U' R' U': (R')] [R, U'] ]
 
{{Alg|B' U' B L B' U2 B U2 B L' B' U' B' U2 B U|Alg.3|cube=3x3x3&stage=PLL}}
 
{{Alg|(y) R' U' R B R' U2 R U2 R B' R' U' R' U2 R|Alg.3(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.3) = [B' U' B L B' U2, B] [U2, B'] (U)
 
{{Alg|R' U2 R U R B R' U2 R' U2 R B' R' U R U'|Alg.4|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.4) = [R': [U2 R U2, U' R B R'] ] (U')
 
{{Alg|L U L' U2 L' U2 R L2 U' L' U L' R' U2 L U2|Alg.5|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2) R U R' U2 R' U2 L R2 U' R' U R' L' U2 R|Alg.5(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.5) = [L: (U)] [U2, L'] [R: [L, U'] ] [L', U2]
 
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|Alg.6|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.6) = [U R': [R, U'] [U, R' D' R] [U R: (U')] ]
 
{{Alg|B' U B U B' U' B' D' B U B' D B U2 B U|Alg.7|cube=3x3x3&stage=PLL}}
 
{{Alg|(y) R' U R U R' U' R' D' R U R' D R U2 R|Alg.7(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.7) = [B': [U B: (U)] [B' D' B, U] [U', B] ]
 
{{Alg|F L U L' F L U' F U F U' F' L' F2|Alg.8|cube=3x3x3&stage=PLL}}
 
{{Alg|(y' x) R U B U' R U (x') U' R U R U' R' F' R2|Alg.8(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.8) = [F2 L: [L' F' L, U] [F U: (F)] ]
 
{{Alg|R' U2 R U' F' L F R' F' L' F U' R U'|Alg.9|cube=3x3x3&stage=PLL}}
 
{{Alg|R' U2 R U' (y') R' F R B' R' F' R (z x') R' U (x z')|Alg.9(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.9) = [R' U R: [R', U] [F' L F, R'] ] (U')
 
{{Alg|L' U2 L2 F' L' F L' U2 L B L U' L' U' L U L' B'|Alg.10|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2) R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'|Alg.10(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.10) = [L' U2 L: [L, F'] ] [B L: [U' L': (U')] ]
 
{{Alg|R' U2 R' D' R U' R' D R U R U' R' U' R U'|Alg.11|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.11) = [R' U2: [R' D' R, U'] [R, U'] ] (U')
 
 
 
  
 
===T Permutation===
 
===T Permutation===
Line 463: Line 289:
 
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}}
 
}}
{{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|Alg.1|cube=3x3x3&stage=PLL}}
+
{{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'|Alg.1(v2):Inv(Alg.1)|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|(y2) B L U' L' U L U L2 B' L U L U' L'|Alg.1(v3):Inv(Alg.1)|cube=3x3x3&stage=PLL}}
+
{{Alg|R U R' U' R' F R2 U' R' U F' L' U L|PLL|cube=3x3x3&stage=PLL}}
Decomposition(Alg.1) = [R, U] [F: [F', R'] [R U' R': (U')] ]
+
{{Alg|R2 U R2 U' R2 U' D R2 U' R2 U R2 D' |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U' R U R B' R2 U R U R' U' R B|Alg.2|cube=3x3x3&stage=PLL}}
+
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2) L' U' L U L F' L2 U L U L' U' L F|Alg.2(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.2) = [R', U'] [B': [B, R] [R' U R: (U)] ]
 
{{Alg|R2 U R2 U' R2' U' D R2 U' R2' U R2 D'|Alg.3|cube=3x3x3&stage=PLL}}
 
{{Alg|R2 U R2' U' R2 U' D R2' U' R2 U R2' D'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.3) = [R2, U] [D R2: [R2, D'] [U' R2: (U')] ]
 
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2 U|Alg.4|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2) L2 U' L2 D F2 R2 U R2 D' F2|Alg.4(v2)|cube=3x3x3&stage=PLL}}
 
{{Alg|R2 U' R2 D B2 L2 U L2 D' B2|Alg.4(v3)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.4) = [U': [U, R2] [B2 D: [D', B2] [L2: (U)] ] ]
 
{{Alg|R2 D' F2 U F2 R2 D B2 U' B2 U|Alg.5|cube=3x3x3&stage=PLL}}
 
{{Alg|R2' u' R2 U R2' (y) R2 u R2' U' R2|Alg.5(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.5) = [R2 D' F2: (U)] [R2, D'] [B2, U']
 
{{Alg|R2 D' F2 D R2 B2 D L2 D' B2 U|Alg.6|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2 z) U2 r' U2 r U2 (x) U2 r U2 r' U2 (z')|Alg.6(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.6) = [R2 D': F2] [B2 D: L2] (U)
 
{{Alg|R U R' U' R2 D R' U' R' U' R U R2 D' R|Alg.7|cube=3x3x3&stage=PLL}}
 
{{Alg|R U R' U' R2 D R' U' R' U' R U (z') U2 R' U (z)|Alg.7(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.7) = [R, U] [R' D R': [R, D'] [R' U' R': (U')] ]
 
{{Alg|R2 U R2 U' R2 F2 U' F2 D R2 D'|Alg.8|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.8) = [R2: [U, R2] [F2: (U')] [D, R2] ]
 
 
 
  
 
===V Permutation===
 
===V Permutation===
Line 498: Line 303:
 
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}}
 
}}
{{Alg|R' U R' U' B' R' B2 U' B' U B' R B R|Alg.1|cube=3x3x3&stage=PLL}}
+
{{Alg|R' U R' 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|Alg.1(v2)|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' (y) U' R' F' R2 U' R' U R' F R F|Alg.1(v3)|cube=3x3x3&stage=PLL}}
+
{{Alg|R' U R' U' y R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y x) R' U' R2 B' R' B R' U R U (x')|Alg.1(v4)|cube=3x3x3&stage=PLL}}
+
{{Alg|z D' R2 D R2 U R' D' R U' R U R' D R U'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U R' U' (y x) R' U' R2 (x') U' R' U R' F R F|Alg.1(v5)|cube=3x3x3&stage=PLL}}
+
{{Alg|R 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' (y) R' F' R2 U' R' U R' F R F|Alg.1(v6)|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}}
Decomposition(Alg.1) = [R2: [R, U] [B': (R')] [B, U'] [B', R] ]
 
{{Alg|R' U R' U' B' D B' D' B2 R' B' R B R|Alg.2|cube=3x3x3&stage=PLL}}
 
{{Alg|R' U R' U' (y x) R' F R' F' R2 U' R' U R U (x')|Alg.2(v2)|cube=3x3x3&stage=PLL}}
 
{{Alg|R' U R' U' (x2 y') R' U R' U' l R U' R' U R U (x')|Alg.2(v3)|cube=3x3x3&stage=PLL}}
 
{{Alg|R' U R' U' (x' y) U' R U' R' U2 (y') R' U' R U R (x)|Alg.2(v4)|cube=3x3x3&stage=PLL}}
 
{{Alg|R' U R' U' (y) R' D R' D' R2 F' R' F R F|Alg.2(v5)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.2) = [R2: [R, U] [B': [D, B'] [B: (R')] ] [B', R] ]
 
{{Alg|R' U2 R U2 L U' R' U L' U L U' R U L'|Alg.3|cube=3x3x3&stage=PLL}}
 
{{Alg|R' U2 R U2 L U' R' U r' F r U' R U L'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.3) = [R', U2] [L U' R' U L': (U)]
 
{{Alg|R2 U' (B2 U B2) (R D') (R D) R' U R U' R|Alg.4|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.4) = [R2: [U', B2] [R D': (R)] [U, R] ]
 
{{Alg|F' U B U' F U F' U B' U' F U2 B U2 B'|Alg.5|cube=3x3x3&stage=PLL}}
 
{{Alg|(y') R' U L U' R U R' U L' U' R U2 L U2 L'|Alg.5(v2)|cube=3x3x3&stage=PLL}}
 
{{Alg|(y) r' F R F' r U r' F R' F' r U2 R U2 R'|Alg.5(v3)|cube=3x3x3&stage=PLL}}
 
{{Alg|(y) L' U R U' L U L' U R' U' L U2 R U2 R'|Alg.5(v4)|cube=3x3x3&stage=PLL}}
 
{{Alg|(y z) U' R D R' U R U' R D' R' U R2 D R2 D' (z')|Alg.5(v5)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.5) = [F' U B U' F: (U)] [U2, B]
 
{{Alg|L U' R' U L' U' L U' R U L' U2 R' U2 R|Alg.6|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2) R U' L' U R' U' R U' L U R' U2 L' U2 L|Alg.6(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.6) = [L U' R' U L': (U')] [U2, R']
 
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|Alg.7|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.7) = [U: [U': (R)] [D: [D', U R'] [R: [U', R] ] [D: [R', U']] ] ]
 
 
 
  
 
===Y Permutation===
 
===Y Permutation===
Line 537: Line 318:
 
|text=
 
|text=
 
}}
 
}}
{{Alg|F R U' R' U' R U R' F' R U R' U' R' F R F'|Alg.1|PLL|vidurl=http://www.youtube.com/watch?v=-RKtMhtrd3Y}}
+
{{Alg|R' U' R U' L R U2 R' U' R U2 L' U R2 U R|PLL}}
Decomposition(Alg.1) = [F R U' R': (U')] [R, U] [R', F]
+
{{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 U F2 U' F2 U' F2|Alg.2|cube=3x3x3&stage=PLL}}
+
{{Alg|R2 U' R' U R U' D' R' U R' U' R' D R |PLL|cube=3x3x3&stage=PLL}}
{{Alg|R' U' R F2 R' U R d R2 U' R2' U' R2|Alg.2(v2)|cube=3x3x3&stage=PLL}}
+
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL|cube=3x3x3&stage=PLL}}
Decomposition(Alg.2) = [F2: [F2, R' U' R] [U F2: (U')] ]
+
{{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 F U F' R2 F U' F'|Alg.3|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'|Alg.3(v2)|cube=3x3x3&stage=PLL}}
+
{{Alg|R2 U' R2 U' R2 d R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y2 z) U2 R' U2 R' U2 R B R B' U2 B R' B' (z')|Alg.3(v3)|cube=3x3x3&stage=PLL}}
+
{{Alg|R2 U' R2 U' R2 U y' R U R' B2 R U' R'|PLL|cube=3x3x3&stage=PLL}}
Decomposition(Alg.3) = [R2: [U' R2: (U')] [F U F', R2] ]
+
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|F2 D R2 U R2 D' R' U' R F2 R' U R|Alg.4|cube=3x3x3&stage=PLL}}
+
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|PLL|cube=3x3x3&stage=PLL}}
{{Alg|(y') R2 u R2' U R2 D' R' U' R F2' R' U R|Alg.4(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.4) = [F2: [D R2: (U)] [R' U' R, F2] ]
 
{{Alg|F R' F R2 U' R' U' R U R' F' R U R' U' F'|Alg.5|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.5) = [F2: [F', R'] [R U' R': (U')] [F': [R, U] ] ]
 
{{Alg|F R' F' R U R U' R2 U' R U R B' R' B U|Alg.6|cube=3x3x3&stage=PLL}}
 
{{Alg|F R' F' R U R U' R2 U' R U l U' R' U (x)|Alg.6(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.6) = [F, R'] [U, R] [R', U'] [R, B'] (U)
 
{{Alg|F R U' R' U' R U F U F' R' F U' F2|Alg.7|cube=3x3x3&stage=PLL}}
 
{{Alg|F R U' R' U' R d R U R' B' R U' R2|Alg.7(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.7) = [F: [R, U'] [U2, R] [R: [U', F] ] [F: (U')] ]
 
{{Alg|R' F R F' U' F' U F2 U F' U' F' L F L' U'|Alg.8|cube=3x3x3&stage=PLL}}
 
{{Alg|R' F R F' (y') U' R' U R2 U R' U' R' F R F'|Alg.8(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.8) = [R', F] [U', F'] [F, U] [F', L] (U')
 
{{Alg|R' F' U F U F' U' F R F' U' F U F R' F' R|Alg.9|cube=3x3x3&stage=PLL}}
 
{{Alg|(y) F' L' U L U L' U' L F L' U' L U L F' L' F|Alg.9(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.9) = [R' F' U F: (U)] [F', U'] [F, R']
 
{{Alg|F2 U F U' F' U L F R' F R F L' F'|Alg.10|cube=3x3x3&stage=PLL}}
 
{{Alg|(y z) U2 R U R' U' R (y) R U L' U L U R' U' (x)|Alg.10(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.10) = [F2: [U, F] (U) [L F: [R', F] ] [L, F'] ]
 
{{Alg|R2 U' R' U R U' B' R' F R' F' R' B R|Alg.11|cube=3x3x3&stage=PLL}}
 
{{Alg|(z') U2 L' U' L U L' (y') L' U' R U' R' U' L U (x)|Alg.11(v2)|cube=3x3x3&stage=PLL}}
 
{{Alg|R2 U' R' U R U' (z' y') L' U' R U' R' U' L U (y z)|Alg.11(v3)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.11) = [R: [R, U'] [R: (U')] ] [R2, B'] [B': [R, F] [R', B] ]
 
{{Alg|F R U' R' F D R' B' R' B R2 D' F2|Alg.12|cube=3x3x3&stage=PLL}}
 
{{Alg|F R U' R' F D R' (y x) R' U' R (z) R2 (y) L' d2 (z)|Alg.12(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.12) = [F R: (U')] [F2 D R2: [R, B'] ]
 
{{Alg|R' U' R2 U' L U2 R' U R U2 L' R' U R' U R|Alg.13|cube=3x3x3&stage=PLL}}
 
{{Alg|(y2 z) U' R' U2 R' D R2 U' R U R2 U' D' R U' R U (z')|Alg.13(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.13) = [R' U' R2: [U' L U2 R': (U)] [U', R'] ]
 
{{Alg|F R F' U' F R' F' R B' R2 B R' U' R2 U|Alg.14|cube=3x3x3&stage=PLL}}
 
{{Alg|(y) r U r' U' r U' r' (y') l U' R2 U l' U' R2|Alg.14(v2)|cube=3x3x3&stage=PLL}}
 
Decomposition(Alg.14) = [F R F': (U')] [R: [B', R2] ] [R2, U']
 
 
 
<br>{{PLL}}
 
  
 +
{{PLL}}
  
 
[[Category:3x3x3 last layer substeps]]
 
[[Category:3x3x3 last layer substeps]]

Latest revision as of 14:38, 23 July 2019

PLL
PLLinfo.jpg
Information
Proposer(s): Hans Dockhorn, Anneke Treep, Jessica Fridrich
Proposed:
Alt Names:
Variants:
Subgroup:
No. Algs: 21
Avg Moves: 11.8 HTM
Purpose(s):
Previous state: OLL cube state
Next state: Solved cube state
OLLinfo.png

OLL cube state -> PLL step -> Solved cube state


The PLL step is the step between the OLL cube state and the Solved cube state.

Mini maru.jpg

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 algorithms for each one. The diagrams below are top views of where you want the pieces to go. For example, the 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 (edit)
Permutations of corners only
Permutations of edges only
Permutations of corners and edges

See also

External links

PLL algorithms

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. (how to add algorithms)

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

Permutations of Edges Only

This subgroup, EPLL is used as a substep for many speedsolving methods, for example in the VH method (COLL).

H Permutation

H.gif

Name: H-PLL, X-PLL
Used in: EPLL, CPLL, PLL, ELL, ZBLL, ZZLL
Optimal moves: 9 HTM, 7 STM
X-PLL is H-PLL + U2.

Speedsolving Logo tiny.gif PLL M2' U M2' U2 M2' U M2' Cube Camera Icon.png[1]
Speedsolving Logo tiny.gif PLL M2' U' M2' U2' M2' U' M2' Cube Camera Icon.png[2]
Speedsolving Logo tiny.gif PLL R2' U2 R' U2 R2' U2' R2' U2 R' U2 R2' Cube Camera Icon.png[3]
Speedsolving Logo tiny.gif PLL M2' U2 M2' U' M2' U2 M2' U
Speedsolving Logo tiny.gif PLL M2' U2 M2' U M2' U2 M2' U'
Speedsolving Logo tiny.gif PLL R2 U2 R U2 R2 U2 R2 U2 R U2 R2
Speedsolving Logo tiny.gif PLL R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2
Speedsolving Logo tiny.gif PLL R U2' R' U' R' U' R2 U' R2' U2' R2 U2' R' (U)
Speedsolving Logo tiny.gif PLL L2 U2 L' U2 L2 U2 L2 U2 L' U2 L2
Speedsolving Logo tiny.gif PLL L R U2 L' R' F' B' U2 F B
Speedsolving Logo tiny.gif PLL L R U2 L' R' (y) L' R' U2 L R
Speedsolving Logo tiny.gif PLL S R U2 R2 U2 R2 U2 R S'
Speedsolving Logo tiny.gif PLL F2 M2' F2 U' F2 M2' F2
Speedsolving Logo tiny.gif PLL (x) U2 M2' U2 B' U2 M2' U2 (x')
Speedsolving Logo tiny.gif PLL L R U2 L' l' U' u' L2 U (z) L
Speedsolving Logo tiny.gif PLL M2' u M2' u2 M2' u M2'
Speedsolving Logo tiny.gif PLL M2' u' M2' u2' M2' u' M2'

U Permutation : a

U1.gif

Name: U-PLL a
Used in: EPLL, PLL, ELL, ZBLL, BLD
Optimal moves: 9 HTM, 7 STM

Speedsolving Logo tiny.gif PLL R2 U' R' U' R U R U R U' R
Speedsolving Logo tiny.gif PLL (y2) R U' R U R U R U' R' U' R2 Cube Camera Icon.png[4]
Speedsolving Logo tiny.gif PLL R U R' U R' U' R2 U' R' U R' U R
Speedsolving Logo tiny.gif PLL M2 U M' U2 M U M2
Speedsolving Logo tiny.gif PLL (y2) M2 U M U2 M' U M2
Speedsolving Logo tiny.gif PLL (y') M2 u' M u2 M u' M2
Speedsolving Logo tiny.gif PLL (y) M2 u' M' u2 M' u' M2
Speedsolving Logo tiny.gif PLL (y2) F2 U' (L R') F2 (L' R) U' F2
Speedsolving Logo tiny.gif PLL (y2) F2 U' M' U2 M U' F2
Speedsolving Logo tiny.gif PLL R U R' U' L' U' L U2 R U' R' U' L' U L
Speedsolving Logo tiny.gif PLL r U R' U R' U' R2 U' r' U R' U R

U Permutation : b

U.gif

Name: U-PLL b
Used in: EPLL, PLL, ELL, ZBLL, BLD
Optimal moves: 9 HTM, 7 STM

Speedsolving Logo tiny.gif PLL R' U R' U' R' U' R' U R U R2
Speedsolving Logo tiny.gif PLL (y2) R2 U R U R' U' R' U' R' U R'
Speedsolving Logo tiny.gif PLL M2 U' M' U2 M U' M2
Speedsolving Logo tiny.gif PLL (y2) M2 U' M U2 M' U' M2
Speedsolving Logo tiny.gif PLL (y2) L' U L' U' L' U' L' U L U L2
Speedsolving Logo tiny.gif PLL (y') M2 u M' u2 M' u M2
Speedsolving Logo tiny.gif PLL R U' R U R U R' U' R' U' R' U2 R'
Speedsolving Logo tiny.gif PLL (y2) R' U' R U' R U R2 U R U' R U' R'
Speedsolving Logo tiny.gif PLL (y2) (L' U' L U) (R U R') U2 (L' U L) (U R U' R')
Speedsolving Logo tiny.gif PLL (z) U2' R U R U' R' U' R' U' R U' (z')
Speedsolving Logo tiny.gif PLL (y2 z) U' R U' R' U' R' U' R U R U2' (z')
Speedsolving Logo tiny.gif PLL (y2) F2 U M' U2 M U F2
Speedsolving Logo tiny.gif PLL (y') r2 u M' u2 M' u r2
Speedsolving Logo tiny.gif PLL (y2) (L' U' L U' L' U2 L) U' (R U R' U R U2' R')

Z Permutation

Z.gif

Name: Z-PLL
Used in: EPLL, PLL, ELL, ZBLL, ZZLL
Optimal moves: 12 HTM, 7 STM

Speedsolving Logo tiny.gif PLL M2 U M2 U M U2 M2 U2 M U2
Speedsolving Logo tiny.gif PLL M2 U' M (U2 M2 U2) M U M2
Speedsolving Logo tiny.gif PLL R' U' R2 U R U R' U' R U R U' R U' R' Cube Camera Icon.png[5]
Speedsolving Logo tiny.gif PLL R U R' U R' U' R' U R U' R' U' R2 U R Cube Camera Icon.png[6]
Speedsolving Logo tiny.gif PLL (y) (M2' U')2 M' (U2' M2' U2') M'
Speedsolving Logo tiny.gif PLL M2' U2 M' U' M2' U' M2' U' M'
Speedsolving Logo tiny.gif PLL (y) M2' U2 M' U M2' U M2' U M'
Speedsolving Logo tiny.gif PLL M' U' M2' U' M2' U' M' U2 M2'
Speedsolving Logo tiny.gif PLL (y) M' U M2' U M2' U M' U2 M2'
Speedsolving Logo tiny.gif PLL M' U2 M2 U2 M' U' M2 U' M2
Speedsolving Logo tiny.gif PLL M2' U M2' U' E2 M' E2 M'
Speedsolving Logo tiny.gif PLL (y) M2' U' M2' U E2 M' E2 M'
Speedsolving Logo tiny.gif PLL M2' U M' E2 M' E2 U' M2'
Speedsolving Logo tiny.gif PLL M2' U M2' U M2 B2 M2 B2
Speedsolving Logo tiny.gif PLL (M2' U)2 M' (U2 M2' U2) M' U2
Speedsolving Logo tiny.gif PLL U R' U' R U' R U R U' R' U R U R2 U' R' U
Speedsolving Logo tiny.gif PLL (y) R U R2 U' R' U' R U R' U' R' U R' U R
Speedsolving Logo tiny.gif PLL (x') R U' R' (U D) R' (D U') R' U R D2' (x)
Speedsolving Logo tiny.gif PLL M2' u M2' D' M S2 M'
Speedsolving Logo tiny.gif PLL (y) R2 U R2 U' R2 F2 R2 U' F2 U R2 F2
Speedsolving Logo tiny.gif PLL R2 U' R2 U R2 (x') U2 R2 F U2 F' R2 U2 (x)
Speedsolving Logo tiny.gif PLL (y') l' U R U' D' R U D' R U' R' D2 (x')
Speedsolving Logo tiny.gif PLL R' U' R' F R F' U R F' U' L' U L F
Speedsolving Logo tiny.gif PLL R' U' R' F R F' U R U' R' U' F' U F R
Speedsolving Logo tiny.gif PLL R U R2 U' R' F R U R U' R U' R' U' R U R' F'


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 Permutation : a

A1.gif

Name: A-PLL a
Used in: CPLL, PLL, L3C, L4C, ZBLL, BLD
Optimal moves: 9 HTM

Speedsolving Logo tiny.gif PLL (x') R' D R' U2 R D' R' U2 R2 (x)
Speedsolving Logo tiny.gif PLL (x) R' U R' D2 R U' R' D2 R2 (x')
Speedsolving Logo tiny.gif PLL l' U R' D2 R U' R' D2 R2 (x')
Speedsolving Logo tiny.gif PLL l' U R' (z) r2 U R' U' r2 (z) L2' (x')
Speedsolving Logo tiny.gif PLL R' F R' B2 R F' R' B2 R2
Speedsolving Logo tiny.gif PLL (y x') R2 u2 r' F' r u2 R' U l'
Speedsolving Logo tiny.gif PLL (y x') R2 D2 R' U' R D2 R' U R'
Speedsolving Logo tiny.gif PLL (y' x) L2 D2 L' U' L D2 L' U L' (x')
Speedsolving Logo tiny.gif PLL (y2 z) F2 R U2 R' U2 F2 L' U2 L U2 (z')
Speedsolving Logo tiny.gif PLL (y z') U2 R U2 R' F2 U2 L' U2 L F2 (z)
Speedsolving Logo tiny.gif PLL R' U2 R2 U' L' U R' U' L U R' U2 R
Speedsolving Logo tiny.gif PLL R U' L' U' L2 U' R2 U L2 U' R2 U2 L U R'
Speedsolving Logo tiny.gif PLL (y') R U R' F' r U R' U' r' F R2 U' R'
Speedsolving Logo tiny.gif PLL (y') r U r' U' r' F r2 U' r' U' r U r' F'
Speedsolving Logo tiny.gif PLL (y) R L D2 R' U' R D2 R' U L'
Speedsolving Logo tiny.gif PLL (y') R U R' U' R' F R U R' U' R' F' R U R2 U' R'
Speedsolving Logo tiny.gif PLL (y') R U R' U R2 D' R U' R' D R U R U' R U' R'

A Permutation : b

A.gif

Name: A-PLL b
Used in: CPLL, PLL, L3C, L4C, ZBLL, BLD
Optimal moves: 9 HTM

Speedsolving Logo tiny.gif PLL (x) R D' R U2 R' D R U2 R2 (x')
Speedsolving Logo tiny.gif PLL (x') R U' R D2 R' U R D2 R2 (x)
Speedsolving Logo tiny.gif PLL (y' x) R2 D2 R U R' D2 R U' R (x')
Speedsolving Logo tiny.gif PLL (y2 x) L U' L D2 L' U L D2 L2 (x')
Speedsolving Logo tiny.gif PLL R B' R F2 R' B R F2 R2
Speedsolving Logo tiny.gif PLL (y z) U2 L' U2 L F2 U2 R U2 R' F2 (z')
Speedsolving Logo tiny.gif PLL (z') F2 L' U2 L U2 F2 R U2 R' U2 (z)
Speedsolving Logo tiny.gif PLL (y') R' U2 R U' L' U R U' L U R2 U2 R
Speedsolving Logo tiny.gif PLL (y') R2 B2 R F R' B2 R F' R
Speedsolving Logo tiny.gif PLL (y' x') R2 U2 R D R' U2 R D' R
Speedsolving Logo tiny.gif PLL (y2) L F' L B2 L' F L B2 L2

E Permutation

E.gif

Name: E-PLL
Used in: CPLL, PLL, L4C, ZBLL, ZZLL
Optimal moves: 14 HTM

Speedsolving Logo tiny.gif PLL (y x') (R U' R' D) (R U R' D') (R U R' D) (R U' R' D') (x) Cube Camera Icon.png[7]
Speedsolving Logo tiny.gif PLL (y x') R' D R U' R' U2 R' U R D' R' U' R U2 R U x
Speedsolving Logo tiny.gif PLL R2 U R' U' (y) (R U R' U')2 R U R' (y') R U' R2'
Speedsolving Logo tiny.gif PLL (x) U R' U' L U R U' r2 U' R U L U' R' U (x)
Speedsolving Logo tiny.gif PLL (y x') R U' R' D R U R' u2 R' U R D R' U' R (x')
Speedsolving Logo tiny.gif PLL (y x') R U' R' D R U R' D2 L' U L D L' U' L (x)
Speedsolving Logo tiny.gif PLL (x) U R' U' L U R U' L' U R U' L U R' U' L' (x')
Speedsolving Logo tiny.gif PLL (x') U' R U L' U' R' U r2 U R' U' r' F R F'
Speedsolving Logo tiny.gif PLL (y) R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R
Speedsolving Logo tiny.gif PLL L R' U' R U L' U' R' U R r U R' U' r' F R F'
Speedsolving Logo tiny.gif PLL l' U' L' U R U' l U R' U' L U R U' l' U (x')
Speedsolving Logo tiny.gif PLL (y) r' R' U' L D' L' U L R U' R' D R U (x)
Speedsolving Logo tiny.gif PLL (y) l L U R' D R U' R' r' F r D' L' U'
Speedsolving Logo tiny.gif PLL r2 U r2 D (x') (R U' R' U)3 (x) D' r2 U' r2
Speedsolving Logo tiny.gif PLL L' U' L' U R U' L U L (R' l') U' L U R U' L' U (x' y)
Speedsolving Logo tiny.gif PLL R2 U R' (y) (R U' R' U)3 (y') R U' R2
Speedsolving Logo tiny.gif PLL (y' z') R' F R2 U R' B' R U' R2 F' R (z) R B R'
Speedsolving Logo tiny.gif PLL R' U L' D2 L U' R L' U R' D2 R U' L
Speedsolving Logo tiny.gif PLL R B L B' R' (y) R L (y) L B' R' B L' (y') R' L'
Speedsolving Logo tiny.gif PLL (y) l U' R' D R U R' D' R U R' D R U' R' D' x
Speedsolving Logo tiny.gif PLL l' U' r' F R F' R U R' U' L U R U' R' F
Speedsolving Logo tiny.gif PLL F' R U R' U' L' U R U' l' U R' U' r B R (x2)
Speedsolving Logo tiny.gif PLL (z) U2 R2 F (R U R' U')3 F' R2 U2 (z')
Speedsolving Logo tiny.gif PLL R' D' R U' R' D R U R' D' R U2 R' D R U' R' D' R U R' D R
Speedsolving Logo tiny.gif PLL (y x') R' D R U' R' D' R U2 L D' L' U' L D L' (x)
Speedsolving Logo tiny.gif PLL F R' F' r U R U' r' F R F' r U R' U' r'
Speedsolving Logo tiny.gif PLL (x) R U' R' D R U R' D' R U R' D R U' R' D'
Speedsolving Logo tiny.gif PLL D R' D2 F' D L D' F D2 R D' F' L' F
Speedsolving Logo tiny.gif PLL l' U' L' U R U' L U R' U' L U R U' L' U (x')
Speedsolving Logo tiny.gif PLL (y) R U R D R' U R D' R' U' R D R' U' R D' R2


Permutations of Edges and Corners

F Permutation

F.gif

Name: F-PLL
Used in: PLL, ZBLL, ZZLL
Optimal moves: 14 HTM

Speedsolving Logo tiny.gif Alg y L R2 U R U R2 U' R' U' R2 U' R U2 L' U R'
Speedsolving Logo tiny.gif PLL (y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R
Speedsolving Logo tiny.gif PLL y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F
Speedsolving Logo tiny.gif PLL R' U R U' R2 F' U' F U R F R' F' R2
Speedsolving Logo tiny.gif Alg.1 M' U2 L F' R U2 r' U r' R2 U2 R2
Speedsolving Logo tiny.gif Alg.1 (R' U R U') R2 (F' U' F U) (R F R' F') R2 U'
Speedsolving Logo tiny.gif Alg.1(svn) y2 R U' R' U R U F R U R' U' x' D' R2 D R D'
Speedsolving Logo tiny.gif Alg.1(svn1) y2 R U' R' U R U F R U R' U' x U' R2 U R U'
Speedsolving Logo tiny.gif Alg.1(v2) R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x')
Speedsolving Logo tiny.gif Alg.2(v2) (y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F Cube Camera Icon.png[8]
Speedsolving Logo tiny.gif Alg.3(v2) (y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z')
Speedsolving Logo tiny.gif Alg.4 B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B
Speedsolving Logo tiny.gif Alg.4(v2) (y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R
Speedsolving Logo tiny.gif Alg.5 L U' L' U L2 F U F' U' L' F' L F L2 U
Speedsolving Logo tiny.gif Alg.5(v2) (y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x')
Speedsolving Logo tiny.gif Alg.5(v3) (y' z) R U R' U' R U2 (z' y') R U R' U' (y' x') R' U' R U R2 (x)
Speedsolving Logo tiny.gif Alg.9 L F R' F' L' F' D2 B' L' B D2 F' R F2


G Permutation : a

G3.gif

Name: G-PLL a
Used in: PLL, ZBLL
Optimal moves: 12 HTM

Speedsolving Logo tiny.gif PLL (y) R2 U (R' U R' U') R U' R2 (D U' R' U) R D' Cube Camera Icon.png[9]
Speedsolving Logo tiny.gif PLL (y) R2' u (R' U R' U' R) u' R2 (y') R' U R
Speedsolving Logo tiny.gif PLL (y) R2 U (R' U R' U' R) U' R2 D (U' R' U R) D'
Speedsolving Logo tiny.gif PLL (y2) F2' D (R' U R' U' R) D' F2 L' U L
Speedsolving Logo tiny.gif PLL R L U2 R' L' (y') R' U L' U2 R U' L
Speedsolving Logo tiny.gif PLL (R U R' U' R') U F (R U R U' R') F' U R' U2 R
Speedsolving Logo tiny.gif PLL (y) L F2 R (F' L' F U) R' U' (F' L F' L')
Speedsolving Logo tiny.gif PLL (y) R2' S2 U l2' U' l2' u R2 U' r2' F2


G Permutation : b

G2.gif

Name: G-PLL b
Used in: PLL, ZBLL
Optimal moves: 12 HTM

Speedsolving Logo tiny.gif PLL R' U' R U D' R2 U R' U R U' R U' R2 D Cube Camera Icon.png[10]
Speedsolving Logo tiny.gif PLL R' U' R (y) R2 u (R' U R U' R) u' R2
Speedsolving Logo tiny.gif PLL (y) F' U' F R2 u (R' U R U' R) u' R2'
Speedsolving Logo tiny.gif PLL R' U' R B2 D (L' U L U' L) D' B2
Speedsolving Logo tiny.gif PLL (y2) L' U' L (y') R2' u (R' U R U' R) u' R2
Speedsolving Logo tiny.gif PLL (y') R' U L' U2 R U' L (y) R L U2 L' R'
Speedsolving Logo tiny.gif PLL R2 D L2 D F2 L D R' D2 L D' R' U2


G Permutation : c

G1.gif

Name: G-PLL c
Used in: PLL, ZBLL
Optimal moves: 12 HTM

Speedsolving Logo tiny.gif PLL (y) R2 U' R U' R U R' U R2 D' U R U' R' D
Speedsolving Logo tiny.gif PLL (y) R2' u' (R U' R U R') u R2 (y) R U' R'
Speedsolving Logo tiny.gif PLL (y) R2' u' (R U' R U R') u R2 B U' B'
Speedsolving Logo tiny.gif PLL (y) R2' U' (R U' R U R') U R2 (D' U R U' R' D)
Speedsolving Logo tiny.gif PLL (y) R2' D' F U' F U F' D R2 B U' B'
Speedsolving Logo tiny.gif PLL (y2) F2' D' L U' L U L' D F2 R U' R'
Speedsolving Logo tiny.gif PLL L' U' L U L U' F' L' U' L' U L F U' L U2 L'
Speedsolving Logo tiny.gif PLL L' R' U2 L R (y) L U' R U2 L' U R'
Speedsolving Logo tiny.gif PLL B2 L2 U' B2 D B2 D' R2 U M2 F2 (x2)
Speedsolving Logo tiny.gif PLL (y') R2' F2 R U2 R U2 R' F R U R' U' R' F R2
Speedsolving Logo tiny.gif PLL (y') l' U2' L' U l F' U' L U F R' F R
Speedsolving Logo tiny.gif PLL (y) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U'


G Permutation : d

G.gif

Name: G-PLL d
Used in: PLL, ZBLL
Optimal moves: 12 HTM

Speedsolving Logo tiny.gif PLL (y2) R U R' U' D R2 U' R U' R' U R' U R2 D'
Speedsolving Logo tiny.gif PLL (y2) R U R' (y') R2 u' (R U' R' U R') u R2
Speedsolving Logo tiny.gif PLL (y2) R U R' F2 D' (L U' L' U L') D F2
Speedsolving Logo tiny.gif PLL (y2) L U2 L' U F' (L' U' L U L) F U (L' U' L' U L)
Speedsolving Logo tiny.gif PLL (y2) l2 U' L2 U' F2 L' U' R U2 L' U l (x')
Speedsolving Logo tiny.gif PLL (y) L U' R U2 L' U R' (y) R' L' U2 R L
Speedsolving Logo tiny.gif PLL (y) f R f' R2 u' R U' R' U R' u R2
Speedsolving Logo tiny.gif PLL (y') R' F' R F' U' L' U F R' F' L F2 R
Speedsolving Logo tiny.gif PLL (y') R2' F' (R U R U') (R' F' R) (U2' R' U2' R') F2 R2
Speedsolving Logo tiny.gif PLL (y2) (R U R') F2 D' L U' L' U L' D F2 U2


J Permutation : a

J1.gif

Name: J-PLL a, L-perm
Used in: PLL, ZBLL, BLD
Optimal moves: 10 HTM

Speedsolving Logo tiny.gif Alg.7 (y2) L U' R' U L' U2 R U' R' U2 R Cube Camera Icon.png[11]
Speedsolving Logo tiny.gif Alg.7(v2) (y2) R' U2 R U R' U2' L U' R U L' Cube Camera Icon.png[12]
Speedsolving Logo tiny.gif Alg.3 L' U R' U2 L U' R U L' U R' U2 L U' R
Speedsolving Logo tiny.gif Alg.1(v4) y2 R' U2 R U R' U2 L U' R U L'
Speedsolving Logo tiny.gif Alg.1(v3) y2 x R2 F R F' R U2 r' U r U2 x'
Speedsolving Logo tiny.gif Alg.1(v2) (y) (R' U L') U2 (R U' R') U2 R L
Speedsolving Logo tiny.gif Alg.2 (y2) F U' R U' R' U' R U R' F' R U R' U' R' F R U F'
Speedsolving Logo tiny.gif Alg.2 B2 R' U' R B2 L' D L' D' L2
Speedsolving Logo tiny.gif Alg.2(v2) (y2) F2 L' U' L F2 R' D R' D' R2
Speedsolving Logo tiny.gif Alg.2(v3) (y2) F2 L' U' L b2 L' U L' U' r2
Speedsolving Logo tiny.gif Alg.7(v3) (y2) R' U2 R U R' (z) R2' U R' D R U' (z')
Speedsolving Logo tiny.gif Alg.7(v4) (y2) R' U2' R U R' (z) R2 U R' D R U' (z')
Speedsolving Logo tiny.gif Alg.7(v5) (z) D R' U' R D' R (R U R' U') R2 U (z')
Speedsolving Logo tiny.gif Alg.7(v6):Inv(Alg.7) R U' L' U R' U2 L U' L' U2' L
Speedsolving Logo tiny.gif Alg.8 R' L' U2 L U L' U2 R U' L U


J Permutation : b

J.gif

Name: J-PLL b
Used in: PLL, ZBLL, BLD
Optimal moves: 10 HTM

Speedsolving Logo tiny.gif (y2) R' U L U' R U2' L' U L U2 L'
Speedsolving Logo tiny.gif Alg.4 R U R' F' R U R' U' R' F R2 U' R' U' Cube Camera Icon.png[13]
Speedsolving Logo tiny.gif Alg.1 R U2 R' U' R U2 L' U R' U' r x
Speedsolving Logo tiny.gif Alg.2 R U2 (R' U' R) U2 L' (U R' U') L
Speedsolving Logo tiny.gif Alg.1(v3) (y) (R U' L) U2 (R' U R) U2 L' R'
Speedsolving Logo tiny.gif Alg.1(v4) L' U R U' L U2 R' U R U2 R'
Speedsolving Logo tiny.gif Alg.2 B2 (L U L') B2 (R D' R D) R2
Speedsolving Logo tiny.gif Alg.2(v2) (y2) F2 (R U R') F2 (L D' L D) L2
Speedsolving Logo tiny.gif Alg.2(v3) (y2) F2 (R U R') b2 (R U' R U) l2'
Speedsolving Logo tiny.gif Alg.2(v4) (y' x') L2 u L u' L2 (x' y) (L U' L U) r2
Speedsolving Logo tiny.gif Alg.2(v5) (y2 x) U2 l U l' U2 r (U' L U) r2
Speedsolving Logo tiny.gif Alg.3 R U' L U2 R' U L' U' R U' L U2 R' U L'
Speedsolving Logo tiny.gif Alg.6 B2 U D' B2 U B2 U' B2 D B2 U' B2 U
Speedsolving Logo tiny.gif Alg.6(v2) (y') L2 (U D') L2 U L2 U' L2 D L2 U' L2

Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']

Speedsolving Logo tiny.gif Alg.7 R U2 R' U' R U2 L' U R' U' L
Speedsolving Logo tiny.gif Alg.13 R2 U F U F' R2 F U' F' R2 U' R2 U'


N Permutation : a

N1.gif

Name: N-PLL a
Used in: PLL, ZBLL, ZZLL
Optimal moves: 14 HTM

Speedsolving Logo tiny.gif PLL r' D r U2 r' D r U2 r' D r U2 r' D r U2 r' D r
Speedsolving Logo tiny.gif PLL R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R'
Speedsolving Logo tiny.gif PLL (L U' R U2 L' U R')2 U
Speedsolving Logo tiny.gif PLL (z) (U R' D R2 U' R D')2 (z')
Speedsolving Logo tiny.gif Alg.1(v3) (y z) R' (U R' D R2 U' R D')2 (z')
Speedsolving Logo tiny.gif Alg.1(v4) (R U' L U2 R' U L')2
Speedsolving Logo tiny.gif Alg.1(v5) (z) (D R' U R2 D' R U')2 (z')
Speedsolving Logo tiny.gif Alg.1(v6) (z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R'
Speedsolving Logo tiny.gif Alg.1(v7) R U' L d2 L' U L R' U' R U2 r' F l'


N Permutation : b

N.gif

Name: N-PLL b
Used in: PLL, ZBLL, ZZLL
Optimal moves: 14 HTM

Speedsolving Logo tiny.gif PLL (R' U L' U2 R U' L)2 U
Speedsolving Logo tiny.gif PLL (z) (D' R U' R2' D R' U)2 (z')
Speedsolving Logo tiny.gif PLL R' U R U' R' F' U' F R U R' F R' F' R U' R
Speedsolving Logo tiny.gif PLL z D' R U' R2 D R' U D' R U' R2 D R' U z'
Speedsolving Logo tiny.gif PLL (z) (U' R D' R2' U R' D)2 (z')
Speedsolving Logo tiny.gif PLL z U' R D' R2 U R' D U' R D' R2 U R' D z'
Speedsolving Logo tiny.gif PLL L' U R' d2 R U' L R' U L' U2 l F' r


R Permutation : a

R1.gif

Name: R-PLL a
Used in: PLL, ZBLL
Optimal moves: 14 HTM

Speedsolving Logo tiny.gif PLL (y') R U' R' U' R U R D R' U' R D' R' U2 R'
Speedsolving Logo tiny.gif PLL R U2 R' U2 R B' R' U' R U R B R2 U
Speedsolving Logo tiny.gif PLL R U2 R' U2 R B' R' U' R U l U R2 (x)
Speedsolving Logo tiny.gif PLL (y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z')
Speedsolving Logo tiny.gif PLL (y2) L U2 L' U2 L F' L' U' L U L F L2
Speedsolving Logo tiny.gif PLL (y') R2 B' R' U' R' U R B R' U2 R U2 R'
Speedsolving Logo tiny.gif PLL (y) L2 F' L' U' L' U L F L' U2 L U2 L'
Speedsolving Logo tiny.gif PLL F2 R' F' U' F' U F R F' U2 F U2 F'
Speedsolving Logo tiny.gif PLL (y' x') R2 U' l' U' R' U l U l' U2 R U2 R'
Speedsolving Logo tiny.gif PLL (y') R l U' l' U' R' U l U l' U2 R U2' R'
Speedsolving Logo tiny.gif PLL F2 L2 U F U F' U' F' U' L2 F' U F' U'
Speedsolving Logo tiny.gif PLL R U' R F2 U R U R U' R' U' F2 R2 U
Speedsolving Logo tiny.gif PLL (y') R2 F2 U R U R' U' R' U' F2 R' U R'


R Permutation : b

R.gif

Name: R-PLL b
Used in: PLL, ZBLL
Optimal moves: 14 HTM

Speedsolving Logo tiny.gif PLL R' U2 R U2 R' F (R U R' U') R' F' R2' U'
Speedsolving Logo tiny.gif PLL R' U2 R U2 R' F (R U R' U') l' U' R2 (x')
Speedsolving Logo tiny.gif PLL (z') U' L2 U L2 U' F U L U' L' U' F' U2 (z)
Speedsolving Logo tiny.gif PLL R' U2 R U2 R' F R U R' U' R' F' R2
Speedsolving Logo tiny.gif PLL R' U2 R' D' R U' R' D R U R U' R' U' R
Speedsolving Logo tiny.gif PLL y' R U2 R' U2 R' F R2 U' R' U' R U R' F' R U R' U R U2 R'
Speedsolving Logo tiny.gif PLL y R2 F R U R U' R' F' R U2 R' U2 R
Speedsolving Logo tiny.gif PLL (y x) R2 U l U R U' l' U' l U2 R' U2 R
Speedsolving Logo tiny.gif PLL (y') r' L' U r U L U' r' U' r U2 L' U2 L


T Permutation

T.gif

Name: T-PLL
Used in: PLL, ZBLL, ZZLL, BLD
Optimal moves: 11 HTM

Speedsolving Logo tiny.gif PLL R U R' U' R' F R2 U' R' U' R U R' F'
Speedsolving Logo tiny.gif PLL F R U' R' U R U R2 F' R U R U' R'
Speedsolving Logo tiny.gif PLL R U R' U' R' F R2 U' R' U F' L' U L
Speedsolving Logo tiny.gif PLL R2 U R2 U' R2 U' D R2 U' R2 U R2 D'
Speedsolving Logo tiny.gif PLL (y2) L' U' L U L F' L2 U L U L' U' L F


V Permutation

V.gif

Name: V-PLL
Used in: PLL, ZBLL
Optimal moves: 14 HTM

Speedsolving Logo tiny.gif PLL R' U R' U' B' R' B2 U' B' U B' R B R
Speedsolving Logo tiny.gif PLL R' U R' d' R' F' R2 U' R' U R' F R F
Speedsolving Logo tiny.gif PLL R' U R' U' y R' F' R2 U' R' U R' F R F
Speedsolving Logo tiny.gif PLL z D' R2 D R2 U R' D' R U' R U R' D R U'
Speedsolving Logo tiny.gif PLL R U2 R' D R U' R U' R U R2 D R' U' R D2
Speedsolving Logo tiny.gif PLL R' U R' U' R D' R' D R' U D' R2 U' R2 D R2


Y Permutation

Y.gif

Name: Y-PLL
Used in: PLL, ZBLL, BLD
Optimal moves: 13 HTM

Speedsolving Logo tiny.gif PLL R' U' R U' L R U2 R' U' R U2 L' U R2 U R
Speedsolving Logo tiny.gif PLL F R U' R' U' R U R' F' (R U R' U') (R' F R F') Cube Camera Icon.png[14]
Speedsolving Logo tiny.gif PLL R2 U' R' U R U' x D' R' U R' U' R' D R
Speedsolving Logo tiny.gif PLL F R' F R2 U' R' U' R U R' F' R U R' U' F'
Speedsolving Logo tiny.gif PLL R' U' R F2 R' U R d R2 U' R2' U' R2
Speedsolving Logo tiny.gif PLL R2 U' R2 U' R2 U R' F' R U R2 U' R' F R
Speedsolving Logo tiny.gif PLL R2 U' R2 U' R2 d R U R' B2 R U' R'
Speedsolving Logo tiny.gif PLL R2 U' R2 U' R2 U y' R U R' B2 R U' R'
Speedsolving Logo tiny.gif PLL F2 D R2 U R2 D' R' U' R F2 R' U R
Speedsolving Logo tiny.gif PLL (y') R2 u R2' U R2 D' R' U' R F2' R' U R


PLL (edit)
Permutations of corners only
Permutations of edges only
Permutations of corners and edges