Difference between revisions of "PLL"
m (Adding ZBLL subgroup) |
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|anames= | |anames= | ||
|variants= | |variants= | ||
− | |subgroup= | + | |subgroup=[[ZBLL]] |
|algs=21 | |algs=21 | ||
|moves=11.8 [[HTM]] | |moves=11.8 [[HTM]] | ||
Line 30: | Line 30: | ||
* [http://algdb.net/puzzle/333/pll AlgDB PLL Page] | * [http://algdb.net/puzzle/333/pll AlgDB PLL Page] | ||
+ | * [https://speedcubedb.com/a/3x3/PLL SpeedCubeDB 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) | * [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) | ||
+ | *[https://www.youtube.com/watch?v=ibDaGbBp1wY&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt|All of PLL algorithms executions] | ||
* [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) | ||
Line 67: | Line 69: | ||
}} | }} | ||
{{Alg|y L R2 U R U R2 U' R' U' R2 U' R U2 L' U R'|cube=3x3x3&stage=PLL}} | {{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|(y) R' U' F' (R U R' U') R' F R2 (U' R' U') R U R' U R|PLL|cube=3x3x3&stage=PLL|vidurl=https://www.youtube.com/watch?v=KLL-Qt9Lm90&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=5}} |
{{Alg|(y x) R' B' U' l U R' U' R' F R2 U' R' U' R U R' U R|PLL|cube=3x3x3&stage=PLL|}} | {{Alg|(y x) R' B' U' l 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|y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F |PLL|cube=3x3x3&stage=PLL|}} | ||
Line 73: | Line 75: | ||
{{Alg|M' U2 L F' R U2 r' U r' R2 U2 R2|Alg.1|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|(R' U R U') R2 (F' U' F U) (R F R' F') R2 U'|Alg.1|cube=3x3x3&stage=PLL|}} | ||
+ | {{Alg|(y) R2 (F R F' R') (U' F' U F) R2 (U R' U' R) U|Inv(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' 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|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|}} | ||
Line 93: | Line 96: | ||
|text= | |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 (D U' R' U) R D'|PLL|vidurl=http://www.youtube.com/watch?v=4hxXyedEvoE| vidurl=https://www.youtube.com/watch?v=wd4gd8B7QSA&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=6}} |
{{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 (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 D (U' R' U R) D'|PLL}} | ||
Line 112: | Line 115: | ||
|text= | |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 U D' R2 U R' U R U' R U' R2 D|PLL|vidurl=http://www.youtube.com/watch?v=M6RDFenst9g|vidurl=https://www.youtube.com/watch?v=8fJRWcKSMUk&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=7}} |
{{Alg|R' U' R (y) 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|(y) F' U' F 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}} | ||
Line 129: | Line 132: | ||
|text= | |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 D' U R U' R' D|PLL|vidurl=https://www.youtube.com/watch?v=L8C6nY-Qy3E&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=8}} |
+ | {{Alg|(y') R2 F2 R U2 R U2 R' F R U R' U' R' F R2|PLL|vidurl=https://www.youtube.com/watch?v=L8C6nY-Qy3E&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=9}} | ||
{{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 (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 B U' B'|PLL}} | ||
Line 153: | Line 157: | ||
}} | }} | ||
{{Alg|(y2) R U R' U' D R2 U' R U' R' U R' U R2 D'|PLL}} | {{Alg|(y2) R U R' U' D R2 U' R U' R' U R' U R2 D'|PLL}} | ||
+ | {{Alg|(y2) D' R U R' U' D R2 U' R U' R' U R' U R2|PLL|vidurl=https://www.youtube.com/watch?v=ESv6a7Cid6c&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=10}} | ||
{{Alg|(y2) R U R' (y') R2 u' (R U' R' U R') u R2|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) R U R' F2 D' (L U' L' U L') D F2|PLL}} | ||
Line 174: | Line 179: | ||
|text= | |text= | ||
}} | }} | ||
+ | {{Alg|y2 x R2' F R F' R U2 r' U r U2 x'|Alg.1(v3)|cube=3x3x3&stage=PLL|vidurl=https://www.youtube.com/watch?v=INlrVWiGZjc&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=13}} | ||
{{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) 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| U R U R' U' R' F R2 U' R' U2 R U R' F' R U R' U' R' F R F'|PLL|cube=3x3x3&stage=PLL}} | {{Alg| U R U R' U' R' F R2 U' R' U2 R U R' F' R U R' U' R' F R F'|PLL|cube=3x3x3&stage=PLL}} | ||
Line 180: | Line 186: | ||
{{Alg|L' U R' U2 L U' R U L' U R' U2 L U' R|Alg.3|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|y2 R' U2 R U R' U2 L U' R U L'|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}} | ||
− | + | {{Alg|(y) (R' U L') U2 (R U' R') U2 R L|Alg.1(v2)|cube=3x3x3&stage=PLL|vidurl=https://www.youtube.com/watch?v=nh9th-AYF_8&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=12}} | |
− | {{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|(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}} | ||
Line 191: | Line 196: | ||
{{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|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|L' U2 L U L' U2 R U' L U R'|Alg.9|cube=3x3x3&stage=PLL}} | ||
+ | {{Alg|R' d' R U R' U F U F' U' R U2 R' U F U |Alg.10|cube=3x3x3&stage=PLL}} | ||
===J Permutation : b=== | ===J Permutation : b=== | ||
Line 201: | Line 208: | ||
}} | }} | ||
{{Alg|(y2) R' U L U' R U2' L' U L U2 L'||cube=3x3x3&stage=PLL}} | {{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 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|vidurl=https://www.youtube.com/watch?v=QXIIxGzMftw&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=14}} |
{{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' 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|R U2 (R' U' R) U2 L' (U R' U') L|Alg.2|cube=3x3x3&stage=PLL}} | ||
Line 214: | Line 221: | ||
{{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}} | ||
+ | {{Alg|R U R' F' R U R' U' l' U l2 F' l' U'|Alg.8|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|vidurl=https://www.youtube.com/watch?v=LG79DHx4uvE&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=15}} |
{{Alg|R2 U F U F' R2 F U' F' R2 U' R2 U'|Alg.13|cube=3x3x3&stage=PLL}} | {{Alg|R2 U F U F' R2 F U' F' R2 U' R2 U'|Alg.13|cube=3x3x3&stage=PLL}} | ||
Line 226: | Line 234: | ||
|text= | |text= | ||
}} | }} | ||
− | {{Alg|r' D r U2 | + | {{Alg|(r' D r U2)5|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|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|vidurl=https://www.youtube.com/watch?v=RWpMAU_aG4Y&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=17}} |
− | {{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL|cube=3x3x3&stage=PLL}} | + | {{Alg|F' R U R' U' R' F R2 F U' R' U' R U F' R'|PLL|cube=3x3x3&stage=PLL|vidurl=https://www.youtube.com/watch?v=iNfx--vOxd0&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=16}} |
{{Alg|R F U' R' U R U F' R2 F' R U R U' R' F|PLL|cube=3x3x3&stage=PLL}} | {{Alg|R F U' R' U R U F' R2 F' R U R U' R' F|PLL|cube=3x3x3&stage=PLL}} | ||
{{Alg|(z) U' F R F' R' F' U F2' U R' F' R' F R U' F' (z')|PLL|cube=3x3x3&stage=PLL}} | {{Alg|(z) U' F R F' R' F' U F2' U R' F' R' F R U' F' (z')|PLL|cube=3x3x3&stage=PLL}} | ||
Line 248: | Line 256: | ||
|text= | |text= | ||
}} | }} | ||
− | {{Alg|(R' U L' U2 R U' L)2 U|PLL|cube=3x3x3&stage=PLL}} | + | {{Alg|R' (U r' F2 R F') M' (U r' F2 R F') r U |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|(R' U L' U2 R U' L)2 U|PLL|cube=3x3x3&stage=PLL|vidurl=https://www.youtube.com/watch?v=tVFEJ077hwI&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=19}} | ||
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}} | {{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}} | ||
{{Alg|B R' U' R U R B' R2' B' U R U R' U' B R|PLL|cube=3x3x3&stage=PLL}} | {{Alg|B R' U' R U R B' R2' B' U R U R' U' B R|PLL|cube=3x3x3&stage=PLL}} | ||
Line 257: | Line 267: | ||
{{Alg|(z) B' U' R B R' B' R' U B2' U B' R' B' R B U' (z')|PLL|cube=3x3x3&stage=PLL}} | {{Alg|(z) B' U' R B R' B' R' U B2' U B' R' B' R B U' (z')|PLL|cube=3x3x3&stage=PLL}} | ||
{{Alg|(z) F U' R' U R U F' U2 F' R U R U' R' F U (z')|PLL|cube=3x3x3&stage=PLL}} | {{Alg|(z) F U' R' U R U F' U2 F' R U R U' R' F U (z')|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 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)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|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}} | {{Alg|L' U R' d2 R U' L R' U L' U2 l F' r|PLL|cube=3x3x3&stage=PLL}} | ||
+ | {{Alg|r' D' F r U' r' F' D r2 U r' U' r' F r F'|PLL|cube=3x3x3&stage=PLL|vidurl=https://www.youtube.com/watch?v=P5yMlQQ3nsM&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=18}} | ||
+ | {{Alg|R2 D R' U R D' R2 U' R U' R' U' F R U R' U' R' F' R |PLL|cube=3x3x3&stage=PLL}} | ||
===R Permutation : a=== | ===R Permutation : a=== | ||
Line 271: | Line 282: | ||
|text= | |text= | ||
}} | }} | ||
− | {{Alg|(y') R U' R' U' R U R D R' U' R D' R' U2 R'|PLL}} | + | {{Alg|(y') R U' R' U' R U R D R' U' R D' R' U2 R'|PLL|vidurl=https://www.youtube.com/watch?v=IGHfp6CgfaA&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=20}} |
{{Alg|(y') R U R' F' R U2 R' U2 R' F R U R U2 R' U'|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' 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 R B R2 U|PLL|cube=3x3x3&stage=PLL}} | ||
Line 296: | Line 307: | ||
|text= | |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') R' F' R2' U'|PLL|cube=3x3x3&stage=PLL|vidurl=https://www.youtube.com/watch?v=FwXr8Cawxfg&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=21}} |
{{Alg|(y') L' U' L F L' U2 L U2 L F' L' U' L' U2 L U|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|R' U2 R U2 R' F (R U R' U') l' U' R2 (x')|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|(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 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|R' U2 R' D' R U' R' D R U R U' R' U' R|PLL|cube=3x3x3&stage=PLL|vidurl=https://www.youtube.com/watch?v=h5qLhgpKzyA&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=22}} |
{{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' 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 R2 F R U R U' R' F' R U2 R' U2 R|PLL|cube=3x3x3&stage=PLL}} | ||
Line 317: | Line 328: | ||
|text= | |text= | ||
}} | }} | ||
− | {{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL|cube=3x3x3&stage=PLL}} | + | {{Alg|R U R' U' R' F R2 U' R' U' R U R' F'|PLL|cube=3x3x3&stage=PLL|vidurl=https://www.youtube.com/watch?v=PX1R7VW9YTs&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=23}} |
{{Alg|F R U' R' U R U R2 F' R U R U' R'|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|R U R' U' R' F R2 U' R' U F' L' U L|PLL|cube=3x3x3&stage=PLL}} | ||
Line 332: | Line 343: | ||
}} | }} | ||
{{Alg|(y) R U' R U R' D R D' R U' D R2 U R2 D' R2|PLL|cube=3x3x3&stage=PLL}} | {{Alg|(y) R U' R U R' D R D' R U' D R2 U R2 D' R2|PLL|cube=3x3x3&stage=PLL}} | ||
+ | {{Alg|(y) R' U R' U' R D' R' D R3 U D' R2 U' R2' D R2|PLL|cube=3x3x3&stage=PLL|vidurl=https://www.youtube.com/watch?v=4mobE-mgRZs&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=28}} | ||
+ | {{Alg|R' U R U' R' f' U' (R U2 R' U' R U' R') f R|PLL|cube=3x3x3&stage=PLL}} | ||
+ | {{Alg|R' f' (R U R' U R U2 R') U f (R U R' U') R|PLL|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' 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' 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|R' U R' U' (y) R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL|vidurl=https://www.youtube.com/watch?v=Ud9ZDcS2yRk&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=29}} |
{{Alg|(y2 z) U' R U' R' F' U' F2 l' U' l F' U F U (z' y2')|PLL|cube=3x3x3&stage=PLL}} | {{Alg|(y2 z) U' R U' R' F' U' F2 l' U' l F' U F U (z' y2')|PLL|cube=3x3x3&stage=PLL}} | ||
{{Alg|(y2 x) R U R U' B U' B' U2' R' U' B' R' B R' (x' y2')|PLL|cube=3x3x3&stage=PLL}} | {{Alg|(y2 x) R U R U' B U' B' U2' R' U' B' R' B R' (x' y2')|PLL|cube=3x3x3&stage=PLL}} | ||
Line 341: | Line 355: | ||
{{Alg|R U2 R' D R U' R U' R U R2 D R' U' R D2|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}} | {{Alg|R' U R' U' R D' R' D R' U D' R2 U' R2 D R2|PLL|cube=3x3x3&stage=PLL}} | ||
+ | {{Alg|(y') F' U F' U' R' F' R2 U' R' U R' F R F|PLL|cube=3x3x3&stage=PLL}} | ||
===Y Permutation=== | ===Y Permutation=== | ||
Line 351: | Line 366: | ||
}} | }} | ||
{{Alg|R' U' R U' L R U2 R' U' R U2 L' U R2 U R|PLL}} | {{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|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|vidurl=https://www.youtube.com/watch?v=gC3LvhSAXSA&list=PLdk3ru-JmBhRQ4ZySjTGfe0fEoJn-coDt&index=30}} |
{{Alg|R2 U' R' U R U' x D' R' U R' U' R' D R |PLL|cube=3x3x3&stage=PLL}} | {{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|F R' F R2 U' R' U' R U R' F' R U R' U' F'|PLL|cube=3x3x3&stage=PLL}} | ||
Line 367: | Line 382: | ||
* [http://speedcubedb.com/a/3x3/PLL Speedcubedb PLL List] | * [http://speedcubedb.com/a/3x3/PLL Speedcubedb PLL List] | ||
+ | * [https://www.cuberoot.me/pll/ CubeRoot PLL Algs] | ||
[[Category:3x3x3 last layer substeps]] | [[Category:3x3x3 last layer substeps]] |
Revision as of 21:11, 25 August 2022
|
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.
Permutations of corners only |
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Permutations of edges only |
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Permutations of corners and edges |
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See also
External links
- AlgDB PLL Page
- SpeedCubeDB PLL Page
- "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)
- of PLL algorithms executions
- Recognize PLLs by patterns (PLL patterns and Algs by RiDo)
- PLL Cheat Sheet (Printable PDF of all PLL algorithms on a single page)
- Speedsolving.com: Recognizing PLLs from only 2 sides
- Recognizing PLLs from only 2 sides - Improved version
- YouTube series
- speedcubingtips.eu PLL algs
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
Name: H-PLL, X-PLL |
PLL | M2' U M2' U2 M2' U M2' | [1] |
PLL | M2' U' M2' U2' M2' U' M2' | [2] |
PLL | R2' S2 R2 U' R2' S2 R2 |
PLL | R2' U2 R' U2 R2' U2' R2' U2 R' U2 R2' | [3] |
PLL | M2' U2 M2' U' M2' U2 M2' |
PLL | M2' U2 M2' U M2' U2 M2' |
PLL | R2 U2 R U2 R2 U2 R2 U2 R U2 R2 |
PLL | L2 U2 L' U2 L2 U2 L2 U2 L' U2 L2 |
PLL | L R U2 L' R' F' B' U2 F B |
PLL | L R U2 L' R' (y) L' R' U2 L R |
PLL | S R U2 R2 U2 R2 U2 R S' |
PLL | F2 M2' F2 U' F2 M2' F2 |
PLL | M2' u M2' u2 M2' u M2' |
PLL | M2' u' M2' u2' M2' u' M2' |
PLL | (M2' U)5 M2' |
PLL | x2 (R U R' U' D)30 x2 |
U Permutation : a
Name: U-PLL a |
PLL | M2 U M' U2 M U M2 |
PLL | (y2) M2' U M U2 M' U M2' | [4] |
PLL | (y2) R U' R U R U R U' R' U' R2 | [5] |
PLL | (y) R2 U' S' U2' S U' R2 |
PLL | (y) R2 U' R2 S R2 S' U R2 |
PLL | R2 U' R' U' R U R U R U' R |
PLL | R U R' U R' U' R2 U' R' U R' U R | [6] |
PLL | (y') M2 u' M u2 M u' M2 |
PLL | (y) M2 u' M' u2 M' u' M2 |
PLL | (y2) F2 U' (L R') F2 (L' R) U' F2 |
PLL | (y2) F2 U' M' U2 M U' F2 |
PLL | R U R' U' L' U' L U2 R U' R' U' L' U L |
PLL | (R' E' R) U (R' E R) U (R' E' R) U2 (R' E R) |
PLL | (R U R' U')(L' U' L) U2 (R U' R')(U' L' U L) |
U Permutation : b
Name: U-PLL b |
PLL | M2 U' M' U2 M U' M2 |
PLL | (y2) M2 U' M U2 M' U' M2 | [7] |
PLL | R' U R' U' R3 U' R' U R U R2 | [8] |
PLL | (y2) R2 U R U R' U' R' U' R' U R' |
PLL | (y) R2 U' S R2 S' R2 U R2 |
PLL | R' U R' U' R' U' R' U R U R2 |
PLL | (y2) L' U L' U' L' U' L' U L U L2 |
PLL | (y') M2 u M' u2 M' u M2 |
PLL | (y2) R' U' R U' R U R2 U R U' R U' R' |
PLL | (y2) L' U' L U R U R' U2 L' U L U R U' R' |
PLL | (z) U2' R U R U' R' U' R' U' R U' (z') |
PLL | (y2 z) U' R U' R' U' R' U' R U R U2' (z') |
PLL | (y2) F2 U M' U2 M U F2 |
PLL | (R' E' R) U2 (R' E R) U' (R' E' R) U' (R' E R) |
PLL | (L' U' L U)(R U R') U2' (L' U L)(U R U' R') |
Z Permutation
Name: Z-PLL |
PLL | (y) M2' U2 M U M2' U M2' U M |
PLL | M2' U2 M U' M2' U' M2' U' M | [9] |
PLL | M2' U M2' U M' U2 M2' U2 M' |
PLL | (y) M2' U' M2' U' M' U2 M2' U2 M' |
PLL | M2' U M2' U M U2 M2' U2 M |
PLL | (y) M2' U' M2' U' M U2 M2' U2 M |
PLL | M2' u M2' u' S M2' S' |
PLL | M' U' M2' U' M2' U' M' U2 M2' |
PLL | (y) M' U M2' U M2' U M' U2 M2' |
PLL | M U' M2' U' M2' U' M U2 M2' |
PLL | (y) M U M2' U M2' U M U2 M2' |
PLL | M2' U' M U2 M2' U2 M U M2' |
PLL | R' U' R2 U R U R' U' R U R U' R U' R' |
PLL | R U R' U R' U' R' U R U' R' U' R2 U R |
PLL | (y) R' U' R U' R U R U' R' U R U R2 U' R' |
PLL | R B' R' B F R' F B' R' B R F2 |
PLL | M2' U2 M' U' M2' U' M2' U' M' |
PLL | (y) M2' U2 M' U M2' U M2' U M' |
PLL | M' U2 M2' U2 M' U' M2' U' M2' |
PLL | (y) M' U2 M2' U2 M' U M2' U M2' |
PLL | M U2 M2' U2 M U' M2' U' M2' |
PLL | (y) M U2 M2 U2 M U M2 U M2 |
PLL | M2' U M2' U' E2 M' E2 M' |
PLL | (y) M2' U' M2' U E2 M' E2 M' |
PLL | M2' U M' E2 M' E2 U' M2' |
PLL | M2' U M2' U' M E2 M D2 |
PLL | E2 M' E2 M' U M2 U' M2 |
PLL | M2' U M2' U M2' F2 M2' F2 |
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.
Aa Permutation
Name: A-PLL a |
Alg.01(v1) | (x) R' U R' D2 R U' R' D2 R2 (x') | [10] |
Alg.01(v2) | l' U R' D2 R U' R' D2 R2 (x') | [11] |
Alg.01(v3) | (x') R' D R' U2 R D' R' U2 R2 (x) |
Alg.02(v2) | (y x') R2 D2 R' U' R D2 R' U R' |
Alg.02(v3) | (y' x) L2 D2 L' U' L D2 L' U L' (x') |
Alg.04(v1) | R' U2 R2 U' L' U R' U' L U R' U2 R |
Alg.05(v1) | R U' L' U' L2 U' R2 U L2 U' R2 U2 L U R' |
Alg.06(v1) | (y') R U R' F' r U R' U' r' F R2 U' R' |
Alg.07(v1) | (y') r U r' U' r' F r2 U' r' U' r U r' F' | [12] |
Alg.08(v1) | (y) R L D2 R' U' R D2 R' U L' |
Alg.09(v1) | (y') R U R' U' R' F R U R' U' R' F' R U R2 U' R' |
Alg.10(v1) | (y') R U R' U R2 D' R U' R' D R U R U' R U' R' |
Alg.11 | x L2 D2 L' U' L D2 L' U L' x' |
Alg.12 | R' F R' B2 R F' R' B2 R2 |
Ab Permutation
Name: Ab-PLL |
PLL | (x) R D' R U2 R' D R U2 R2 (x') |
PLL | (y')(L' U' L F) (l' U' L U l) F' L2 U L |
PLL | (x') R U' R D2 R' U R D2 R2 (x) |
PLL | (y' x) R2 D2 R U R' D2 R U' R (x') | [13] |
PLL | (y2 x) L U' L D2 L' U L D2 L2 (x') |
PLL | R B' R F2 R' B R F2 R2 |
PLL | R U2 R' U2 (R' F R F')(r U R' U R U2 r') |
PLL | (y z) U2 L' U2 L F2 U2 R U2 R' F2 (z') |
PLL | (z') F2 L' U2 L U2 F2 R U2 R' U2 (z) |
PLL | (y') R' U2 R U' L' U R U' L U R2 U2 R |
PLL | (y') R2 B2 R F R' B2 R F' R |
PLL | (y' x') R2 U2 R D R' U2 R D' R |
PLL | (y2) L F' L B2 L' F L B2 L2 |
PLL | (y) R U R' U R' D' R U R' D R U2 R U' R' (y') |
PLL | R' D' R U R' D R U2 R' D' R U R' D R |
PLL | (y') R U2 R U2 R D R' U2 R D' R2 U2 R' |
PLL | (y x') L2 D2 L U L' D2 L U' L |
E Permutation
Name: E-PLL |
PLL | (y x') (R U' R' D) (R U R' D') (R U R' D) (R U' R' D') (x) | [14] |
PLL | R2 U F' (R' U R U')3 F U' R2 |
PLL | (y x') R' D R U' R' U2 R' U R D' R' U' R U2 R U x |
PLL | R2 U R' U' (y) (R U R' U')2 R U R' (y') R U' R2' | [15] |
PLL | R2 U R' d' (R U R' U')2 R U R' F U' F2 |
PLL | (x) U R' U' L U R U' r2 U' R U L U' R' U (x) |
PLL | (y x') R U' R' D R U R' u2 R' U R D R' U' R (x') |
PLL | (y x') R U' R' D R U R' D2 L' U L D L' U' L (x) |
PLL | (x) U R' U' L U R U' L' U R U' L U R' U' L' (x') |
PLL | (x') U' R U L' U' R' U r2 U R' U' r' F R F' |
PLL | (y) R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R |
PLL | L R' U' R U L' U' R' U R r U R' U' r' F R F' |
PLL | l' U' L' U R U' l U R' U' L U R U' l' U (x') |
PLL | (y) r' R' U' L D' L' U L R U' R' D R U (x) |
PLL | (y) l L U R' D R U' R' r' F r D' L' U' |
PLL | r2 U r2 D (x') (R U' R' U)3 (x) D' r2 U' r2 |
PLL | L' U' L' U R U' L U L (R' l') U' L U R U' L' U (x' y) |
PLL | R2 U R' (y) (R U' R' U)3 (y') R U' R2 |
PLL | (y' z') R' F R2 U R' B' R U' R2 F' R (z) R B R' |
PLL | R' U L' D2 L U' R L' U R' D2 R U' L |
PLL | R B L B' R' (y) R L (y) L B' R' B L' (y') R' L' |
PLL | (y) l U' R' D R U R' D' R U R' D R U' R' D' x |
PLL | l' U' r' F R F' R U R' U' L U R U' R' F |
PLL | F' R U R' U' L' U R U' l' U R' U' r B R (x2) |
PLL | (z) U2 R2 F (R U R' U')3 F' R2 U2 (z') |
PLL | R' D' R U' R' D R U R' D' R U2 R' D R U' R' D' R U R' D R |
PLL | (y x') R' D R U' R' D' R U2 L D' L' U' L D L' (x) |
PLL | F R' F' r U R U' r' F R F' r U R' U' r' |
PLL | (x) R U' R' D R U R' D' R U R' D R U' R' D' |
PLL | D R' D2 F' D L D' F D2 R D' F' L' F |
PLL | l' U' L' U R U' L U R' U' L U R U' L' U (x') |
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
Alg | y L R2 U R U R2 U' R' U' R2 U' R U2 L' U R' |
PLL | (y) R' U' F' (R U R' U') R' F R2 (U' R' U') R U R' U R | [16] |
PLL | (y x) R' B' U' l U R' U' R' F R2 U' R' U' R U R' U R |
PLL | y2 R' U2 R' d' R' F' R2 U' R' U R' F R U' F |
PLL | R' U R U' R2 F' U' F U R F R' F' R2 U' |
Alg.1 | M' U2 L F' R U2 r' U r' R2 U2 R2 |
Alg.1 | (R' U R U') R2 (F' U' F U) (R F R' F') R2 U' |
Inv(Alg.1) | (y) R2 (F R F' R') (U' F' U F) R2 (U R' U' R) U |
Alg.1(svn) | y2 R U' R' U R U F R U R' U' x' D' R2 D R D' |
Alg.1(svn1) | y2 R U' R' U R U F R U R' U' x U' R2 U R U' |
Alg.1(v2) | R' U R U' R2 (y') R' U' R U (y x) R U R' U' R2 (x') |
Alg.2(v2) | (y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F | [17] |
Alg.3(v2) | (y') F r2 R' U2 r U' r' U2 (x') R2 U' R' U r2 u' (z') |
Alg.4 | B' U' R' B U B' U' B' R B2 U' B' U' B U B' U B |
Alg.4(v2) | (y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R |
Alg.5 | L U' L' U L2 F U F' U' L' F' L F L2 U |
Alg.5(v2) | (y2) R U' R' U R2 (y) R U R' U' (x) U' R' U R U2 (x') |
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) |
Alg.9 | L F R' F' L' F' D2 B' L' B D2 F' R F2 |
G Permutation : a
PLL | (y) R2 U (R' U R' U') R U' R2 (D U' R' U) R D' | [18] |
PLL | (y) R2' u (R' U R' U' R) u' R2 (y') R' U R |
PLL | (y) R2 U (R' U R' U' R) U' R2 D (U' R' U R) D' |
PLL | (y2) F2' D (R' U R' U' R) D' F2 L' U L |
PLL | R L U2 R' L' (y') R' U L' U2 R U' L |
PLL | R U2' R' U' F' R U R2 U' R' F R U R2 U2' R' |
PLL | (R U R' U' R') U F (R U R U' R') F' U R' U2 R |
PLL | (y2 z) U R U' R' U' R B U R U R' U' B' R U' R2 U (z' y2') |
PLL | (y) L F2 R (F' L' F U) R' U' (F' L F' L') |
PLL | (y) R2' S2 U l2' U' l2' u R2 U' r2' F2 |
G Permutation : b
PLL | R' U' R U D' R2 U R' U R U' R U' R2 D | [19] |
PLL | R' U' R (y) R2 u (R' U R U' R) u' R2 |
PLL | (y) F' U' F R2 u (R' U R U' R) u' R2' |
PLL | (y2) R' U2 R U' F R U R' U' R' F' U' R U R U' R' (y2') |
PLL | R' U' R B2 D (L' U L U' L) D' B2 |
PLL | (y2) L' U' L (y') R2' u (R' U R U' R) u' R2 |
PLL | (y') R' U L' U2 R U' L (y) R L U2 L' R' |
PLL | R2 D L2 D F2 L D R' D2 L D' R' U2 |
G Permutation : c
PLL | (y) R2 U' R U' R U R' U R2 D' U R U' R' D | [20] |
PLL | (y') R2 F2 R U2 R U2 R' F R U R' U' R' F R2 | [21] |
PLL | (y) R2' u' (R U' R U R') u R2 (y) R U' R' |
PLL | (y) R2' u' (R U' R U R') u R2 B U' B' |
PLL | (y) R2' U' (R U' R U R') U R2 (D' U R U' R' D) |
PLL | (y) R2' D' F U' F U F' D R2 B U' B' |
PLL | (y2) F2' D' L U' L U L' D F2 R U' R' |
PLL | L' U' L U L U' F' L' U' L' U L F U' L U2 L' |
PLL | (y2) R' U' R U R U' B' R' U' R' U R B U' R U2 R' (y2') |
PLL | (z) U' R' U R U R' F' U' R' U' R U F R' U R2 U' (z') |
PLL | L' R' U2 L R (y) L U' R U2 L' U R' |
PLL | B2 L2 U' B2 D B2 D' R2 U M2 F2 (x2) |
PLL | (y') R2' F2 R U2 R U2 R' F R U R' U' R' F R2 |
PLL | (y') l' U2' L' U l F' U' L U F R' F R |
PLL | (y) U F2 R2 L2 U' L2 U L2 D' L2 D R2 F2 U' |
G Permutation : d
PLL | (y2) R U R' U' D R2 U' R U' R' U R' U R2 D' |
PLL | (y2) D' R U R' U' D R2 U' R U' R' U R' U R2 | [22] |
PLL | (y2) R U R' (y') R2 u' (R U' R' U R') u R2 |
PLL | (y2) R U R' F2 D' (L U' L' U L') D F2 |
PLL | (y2) L U2 L' U F' (L' U' L U L) F U (L' U' L' U L) |
PLL | R U2' R' U B' R' U' R U R B U R' U' R' U R |
PLL | (y2 z) U R2' U' R F' U' R' U R U F R U' R' U' R U (z' y2') |
PLL | (y2) l2 U' L2 U' F2 L' U' R U2 L' U l (x') |
PLL | (y) L U' R U2 L' U R' (y) R' L' U2 R L |
PLL | (y) f R f' R2 u' R U' R' U R' u R2 |
PLL | (y') R' F' R F' U' L' U F R' F' L F2 R |
PLL | (y') R2' F' (R U R U') (R' F' R) (U2' R' U2' R') F2 R2 |
PLL | (y z) U2 B' U R U R' U' B' U R2' U' R2 U' B2 U2' (z' y') |
PLL | (y2) (R U R') F2 D' L U' L' U L' D F2 U2 |
J Permutation : a
Name: J-PLL a, L-perm |
Alg.1(v3) | y2 x R2' F R F' R U2 r' U r U2 x' | [23] |
Alg.7 | (y2) L U' R' U L' U2 R U' R' U2 R | [24] |
PLL | U R U R' U' R' F R2 U' R' U2 R U R' F' R U R' U' R' F R F' |
PLL | (y) U R' U' R B R' U' R U l U' R2' F R (x) |
Alg.7(v2) | (y2) R' U2 R U R' U2' L U' R U L' | [25] |
Alg.3 | L' U R' U2 L U' R U L' U R' U2 L U' R |
Alg.1(v4) | y2 R' U2 R U R' U2 L U' R U L' |
Alg.1(v2) | (y) (R' U L') U2 (R U' R') U2 R L | [26] |
Alg.2 | (y2) F U' R U' R' U' R U R' F' R U R' U' R' F R U F' |
Alg.2 | B2 R' U' R B2 L' D L' D' L2 |
Alg.2(v2) | (y2) F2 L' U' L F2 R' D R' D' R2 |
Alg.2(v3) | (y2) F2 L' U' L b2 L' U L' U' r2 |
Alg.7(v3) | (y2) R' U2 R U R' (z) R2' U R' D R U' (z') |
Alg.7(v4) | (y2) R' U2' R U R' (z) R2 U R' D R U' (z') |
Alg.7(v5) | (z) D R' U' R D' R (R U R' U') R2 U (z') |
Alg.7(v6):Inv(Alg.7) | R U' L' U R' U2 L U' L' U2' L |
Alg.8 | R' L' U2 L U L' U2 R U' L U |
Alg.9 | L' U2 L U L' U2 R U' L U R' |
Alg.10 | R' d' R U R' U F U F' U' R U2 R' U F U |
J Permutation : b
(y2) R' U L U' R U2' L' U L U2 L' |
Alg.4 | R U R' F' R U R' U' R' F R2 U' R' U' | [27] |
Alg.1 | R U2 R' U' R U2 L' U R' U' r x |
Alg.2 | R U2 (R' U' R) U2 L' (U R' U') L |
Alg.1(v3) | (y) (R U' L) U2 (R' U R) U2 L' R' |
Alg.1(v4) | L' U R U' L U2 R' U R U2 R' |
Alg.2 | B2 (L U L') B2 (R D' R D) R2 |
Alg.2(v2) | (y2) F2 (R U R') F2 (L D' L D) L2 |
Alg.2(v3) | (y2) F2 (R U R') b2 (R U' R U) l2' |
Alg.2(v4) | (y' x') L2 u L u' L2 (x' y) (L U' L U) r2 |
Alg.2(v5) | (y2 x) U2 l U l' U2 r (U' L U) r2 |
Alg.3 | R U' L U2 R' U L' U' R U' L U2 R' U L' |
Alg.6 | B2 U D' B2 U B2 U' B2 D B2 U' B2 U |
Alg.6(v2) | (y') L2 (U D') L2 U L2 U' L2 D L2 U' L2 |
Alg.8 | R U R' F' R U R' U' l' U l2 F' l' U' |
Decomposition(Alg.6) = [D' B2: [B2, D] (U) [B2, U] ] [B2, U']
Alg.7 | R U2 R' U' R U2 L' U R' U' L | [28] |
Alg.13 | R2 U F U F' R2 F U' F' R2 U' R2 U' |
N Permutation : a
Name: N-PLL a |
PLL | (r' D r U2)5 |
PLL | R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R' | [29] |
PLL | F' R U R' U' R' F R2 F U' R' U' R U F' R' | [30] |
PLL | R F U' R' U R U F' R2 F' R U R U' R' F |
PLL | (z) U' F R F' R' F' U F2' U R' F' R' F R U' F' (z') |
PLL | (z) B' U R U' R' U' B U2' B R' U' R' U R B' U' (z') |
PLL | (L U' R U2 L' U R')2 U' |
PLL | (z) (U R' D R2 U' R D')2 (z') |
Alg.1(v3) | (y z) R' (U R' D R2 U' R D')2 (z') |
Alg.1(v4) | (R U' L U2 R' U L')2 |
Alg.1(v5) | (z) (D R' U R2 D' R U')2 (z') |
Alg.1(v6) | (z) U R' D R2 U' R U (z') R' U' R (z) R2 U' R (z') R' |
Alg.1(v7) | R U' L d2 L' U L R' U' R U2 r' F l' |
N Permutation : b
Name: N-PLL b |
PLL | R' (U r' F2 R F') M' (U r' F2 R F') r U |
PLL | (R' U R U') R' F' U' F (R U R' F) (R' F' R U') R |
PLL | (R' U L' U2 R U' L)2 U | [31] |
PLL | (z) (D' R U' R2' D R' U)2 (z') |
PLL | B R' U' R U R B' R2' B' U R U R' U' B R |
PLL | (x') U R' F' R F R U' R2' U' F R F R' F' U R (x) |
PLL | R' B' U R U' R' U' B R2 B R' U' R' U R B' |
PLL | (x') R' U' F R F' R' F' U R2' U R' F' R' F R U' (x) |
PLL | (z) U' F' (R U R' U' R' F) U2' F (U' R' U' R U F') (z') |
PLL | (z) B' U' R B R' B' R' U B2' U B' R' B' R B U' (z') |
PLL | (z) F U' R' U R U F' U2 F' R U R U' R' F U (z') |
PLL | z D' R U' R2 D R' U D' R U' R2 D R' U z' |
PLL | (z) (U' R D' R2' U R' D)2 (z') |
PLL | z U' R D' R2 U R' D U' R D' R2 U R' D z' |
PLL | L' U R' d2 R U' L R' U L' U2 l F' r |
PLL | r' D' F r U' r' F' D r2 U r' U' r' F r F' | [32] |
PLL | R2 D R' U R D' R2 U' R U' R' U' F R U R' U' R' F' R |
R Permutation : a
PLL | (y') R U' R' U' R U R D R' U' R D' R' U2 R' | [33] |
PLL | (y') R U R' F' R U2 R' U2 R' F R U R U2 R' U' |
PLL | R U2 R' U2 R B' R' U' R U R B R2 U |
PLL | R U2 R' U2 R B' R' U' R U l U R2 (x) |
PLL | (y2 z) U R2 U' R2 U F' U' R' U R U F U2 (z') |
PLL | (y2) L U2 L' U2 L F' L' U' L U L F L2 |
PLL | (y') R2 B' R' U' R' U R B R' U2 R U2 R' |
PLL | (y) L2 F' L' U' L' U L F L' U2 L U2 L' |
PLL | F2 R' F' U' F' U F R F' U2 F U2 F' |
PLL | (y' x') R2 U' l' U' R' U l U l' U2 R U2 R' |
PLL | (y') R l U' l' U' R' U l U l' U2 R U2' R' |
PLL | F2 L2 U F U F' U' F' U' L2 F' U F' U' |
PLL | R U' R F2 U R U R U' R' U' F2 R2 U |
PLL | (y') R2 F2 U R U R' U' R' U' F2 R' U R' |
PLL | (y') R U R' F' R U2 R' U2 R' F R U R U2 R' U' |
PLL | R U2 R' U' R' F' R U2 R U2 R' F R U' R' U |
R Permutation : b
PLL | R' U2 R U2 R' F (R U R' U') R' F' R2' U' | [34] |
PLL | (y') L' U' L F L' U2 L U2 L F' L' U' L' U2 L U |
PLL | R' U2 R U2 R' F (R U R' U') l' U' R2 (x') |
PLL | (z') U' L2 U L2 U' F U L U' L' U' F' U2 (z) |
PLL | R' U2 R U2 R' F R U R' U' R' F' R2 |
PLL | R' U2 R' D' R U' R' D R U R U' R' U' R | [35] |
PLL | y' R U2 R' U2 R' F R2 U' R' U' R U R' F' R U R' U R U2 R' |
PLL | y R2 F R U R U' R' F' R U2 R' U2 R |
PLL | (y x) R2 U l U R U' l' U' l U2 R' U2 R |
PLL | (y') r' L' U r U L U' r' U' r U2 L' U2 L |
PLL | (y') L' U' L F L' U2 L U2 L F' L' U' L' U2 L U |
PLL | (y2) L' U2 L U L F L' U2 L' U2 L F' L' U L U' |
T Permutation
Name: T-PLL |
PLL | R U R' U' R' F R2 U' R' U' R U R' F' | [36] |
PLL | F R U' R' U R U R2 F' R U R U' R' |
PLL | R U R' U' R' F R2 U' R' U F' L' U L |
PLL | R2 U R2 U' R2 U' D R2 U' R2 U R2 D' |
PLL | (y2) L' U' L U L F' L2 U L U L' U' L F |
V Permutation
PLL | (y) R U' R U R' D R D' R U' D R2 U R2 D' R2 |
PLL | (y) R' U R' U' R D' R' D R3 U D' R2 U' R2' D R2 | [37] |
PLL | R' U R U' R' f' U' (R U2 R' U' R U' R') f R |
PLL | R' f' (R U R' U R U2 R') U f (R U R' U') R |
PLL | R' U R' U' B' R' B2 U' B' U B' R B R |
PLL | R' U R' d' R' F' R2 U' R' U R' F R F |
PLL | R' U R' U' (y) R' F' R2 U' R' U R' F R F | [38] |
PLL | (y2 z) U' R U' R' F' U' F2 l' U' l F' U F U (z' y2') |
PLL | (y2 x) R U R U' B U' B' U2' R' U' B' R' B R' (x' y2') |
PLL | R' U R' U' B' l' (x2' y') U2 R' U' R (y) U' R U R (x) |
PLL | (z) D' R2 D R2 U R' D' R U' R U R' D R U' |
PLL | R U2 R' D R U' R U' R U R2 D R' U' R D2 |
PLL | R' U R' U' R D' R' D R' U D' R2 U' R2 D R2 |
PLL | (y') F' U F' U' R' F' R2 U' R' U R' F R F |
Y Permutation
PLL | R' U' R U' L R U2 R' U' R U2 L' U R2 U R |
PLL | F R U' R' U' R U R' F' (R U R' U') (R' F R F') | [39] |
PLL | R2 U' R' U R U' x D' R' U R' U' R' D R |
PLL | F R' F R2 U' R' U' R U R' F' R U R' U' F' |
PLL | R' U' R F2 R' U R d R2 U' R2' U' R2 |
PLL | R2 U' R2 U' R2 U R' F' R U R2 U' R' F R |
PLL | R2 U' R2 U' R2 d R U R' B2 R U' R' |
PLL | R2 U' R2 U' R2 U y' R U R' B2 R U' R' |
PLL | F2 D R2 U R2 D' R' U' R F2 R' U R |
PLL | (y') R2 u R2' U R2 D' R' U' R F2' R' U R |
PLL | (R U R' U') (R' F R F') (R U R' U') R' F (R2 U' R' U) (R U R' F') |
Permutations of corners only |
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Permutations of edges only |
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Permutations of corners and edges |
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External links