Difference between revisions of "PLL"
m (→J Permutation : a: I forgot to put a U' at the end of my J perm: a Alg.10.) |
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{{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|}} | ||
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|text= | |text= | ||
}} | }} | ||
+ | {{Alg|y2 x R2' F R F' R U2 r' U r U2 x'|Alg.1(v3)|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|(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}} | ||
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{{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}} | {{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|}} | ||
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{{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' U' B U' B' U R U2 R' d' R U' R' U F U'|Alg.10|cube=3x3x3&stage=PLL}} | ||
===J Permutation : b=== | ===J Permutation : b=== | ||
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|text= | |text= | ||
}} | }} | ||
+ | {{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}} | {{Alg|(R' U L' U2 R U' L)2 U|PLL|cube=3x3x3&stage=PLL}} | ||
{{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}} | {{Alg|(z) (D' R U' R2' D R' U)2 (z')|PLL|cube=3x3x3&stage=PLL}} | ||
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{{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}} | ||
===R Permutation : a=== | ===R Permutation : a=== | ||
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* [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 23:41, 20 July 2021
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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
- "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)
- 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 |
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 | [16] |
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' | [17] |
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 | [18] |
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 |
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) 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' |
Alg.7 | (y2) L U' R' U L' U2 R U' R' U2 R | [19] |
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' | [20] |
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 |
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' U' B U' B' U R U2 R' d' R U' 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' | [21] |
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 |
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 |
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 r' D r U2 r' D r U2 r' D r U2 r' D r |
PLL | R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R' |
PLL | F' R U R' U' R' F R2 F U' R' U' R U F' R' |
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 U') R' F' U' F (R U R' F) (R' F' R U') R |
PLL | (R' U L' U2 R U' L)2 U |
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' |
R Permutation : a
PLL | (y') R U' R' U' R U R D R' U' R D' R' U2 R' |
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' |
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 |
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' |
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 | 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 |
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 |
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') | [22] |
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