PLL
From Speedsolving.com Wiki
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 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. 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.
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PLL |
H | Ua | Ub | Z | Aa | Ab | E | F | Ga | Gb | Gc | Gd | Ja | Jb | Na | Nb | Ra | Rb | T | V | Y | edit |
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.
Click on an algorithm (not the camera icon) to watch an animation of it.
Permutations of Edges Only
This subgroup, EPLL is used as the last step for many speedsolving methods, for example in the VH method (COLL).
H Permutation
| PLL | M2 U M2 U2 M2 U M2 |  [1]
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| PLL | M2 U' M2 U2' M2 U' M2 | [X]
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| PLL | R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2' | [X]
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| PLL | U' M2 U2 M2 U M2 U2 M2 | [X]
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| PLL | F2 M2 F2 U' F2 M2 F2 U | [X]
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| PLL | x U2 M2 U2 B' U2 M2 U2 B | [X]
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| PLL | R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U' | [X]
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| PLL | L R U2 L' R' F' B' U2 F B | [X]
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| PLL | R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U | [X]
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| PLL | R2 U2 R U2 R2 U2 R2 U2 R U2 R2 | [X]
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| PLL | M2 U M2 U M2 U M2 U M2 U M2 U' | [X]
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| PLL | R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U | [X]
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| PLL | M2 U2' M2 U' M2 U2' M2 U | [X]
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U Permutation : a
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| PLL | (y2) F2 U' L R' F2 L' R U' F2 | [X]
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| PLL | M2 U M' U2 M U M2 | [X]
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| PLL | (y2) M2 U M U2 M' U M2 | [X]
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| PLL | R2 U' R' U' R U R U R U' R | [X]
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| PLL | (y2) L2 U' L' U' L U L U L U' L | [X]
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| PLL | B2 U' M U2 M' U' B2 | [X]
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| PLL | (y2) R U' R U R U R U' R' U' R2 | [X]
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| PLL | M2 U M' U2 M U2 M' U2 M U M2 | [X]
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| PLL | (y) R2 U' y r U2 r' R U2 R' y' U' R2 | [X]
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| PLL | R U R' U' L' U' L U2 R U' R' U' L' U L | [X]
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| PLL | (y) R2' U' S' U2 S U' R2' | [X]
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U Permutation : b
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| PLL | (y2) F2 U R' L F2 R L' U F2 | [X]
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| PLL | M2 U' M' U2 M U' M2 | [X]
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| PLL | (y2) M2 U' M U2 M' U' M2 | [X]
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| PLL | R' U R' U' R' U' R' U R U R2 | [X]
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| PLL | (y2) R2' U R U R' U' R' U' R' U R' | [X]
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| PLL | B2 U M U2 M' U B2 | [X]
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| PLL | L2 U L U L' U' L' U' L' U L' | [X]
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| PLL | R U' R U R U R' U' R' U' R' U2 R' | [X]
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| PLL | M2 U' M' U2 M U2 M' U2 M U' M2 | [X]
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| PLL | L' U' L U R U R' U2 L' U L U R U' R' | [X]
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| PLL | R U R' U' L' U' L U2 R U' R' U' L' U L | [X]
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Z Permutation
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| PLL | y x' R U' R' U D R' D U' R' U R D2' F x | [X]
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| PLL | x L' U L U' D' L D' U L U' L' D2 F' x' | [X]
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| PLL | M2 U M2 U M U2 M2 U2 M U2 | [X]
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| PLL | y M2 U M2 U M' U2 M2 U2 M' U2 | [X]
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| PLL | y M2' U' M' U2' M2' U2' M' U M2' | [X]
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| PLL | y U R' U' R U' R U R U' R' U R U R2 U' R' U | [2]
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| PLL | R' U' R2 U R U R' U' R U R U' R U' R' U2 | [3]
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| PLL | R B' R' B F R' F B' R' B R F2 U | [4]
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| PLL | R2 U R2 U' R2 F2 R2 U' F2 U R2 F2 | [X]
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| PLL | y' M2 U2 M' U' M2 U' M2 U' M' U | [X]
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| PLL | R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L | [X]
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| PLL | R' U L' E2 L U' R L' U R' E2 R U' L' | [X]
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| PLL | y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2 | [X]
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| PLL | M' U M2 U M2 U M' U2 M2 U' | [X]
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| PLL | U' l' U R U' D' R U D' R U' R' D2 | [X]
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| PLL | d R U R2 U' R' F R U R U' R U' R' U' R U R' F' | [X]
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| PLL | M2 U' M E2 M E2 U M2 | [X]
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| PLL | F2 M2 F2 M2 U M2 U M2 U2 | [X]
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| PLL | U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R | [5]
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| PLL | y R U R' U R' U' R' U R U' R' U' R2 U R U2 | [X]
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| PLL | y' R U R B' R' B U' R' f R U R' U' f' | [X]
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| PLL | (x2 y) M2 U S2 U' S' M2 S | [X]
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| PLL | M2 U (F2 M2 F2 M2) U' M2 | [X]
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| PLL | y M2 U2 M' U M2 U M2 U M' U' | [X]
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| PLL | R' U' R' F R F' U R F' U' L' U L F | [X]
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| PLL | x' R U' R' U D R' D U' R' U R D2' F | [X]
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Permutations of Corners Only
This is also known as CPLL (Corner Permute Last Layer).
A Permutation : a
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| PLL | R' F R' B2 R F' R' B2 R2 | [X]
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| PLL | (x') R' D R' U2 R D' R' U2 R2 | [X]
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| PLL | (x) R' U R' D2 R U' R' D2 R2 | [X]
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| PLL | (y' x) L2 D2 L' U' L D2 L' U L' | [X]
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| PLL | (y2) (L' B L') (F2 L B' L') (F2 L2) | [X]
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| PLL | (y2 z) F2 R U2 R' U2 F2 L' U2 L U2 | [X]
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| PLL | (y z') U2 R U2 R' F2 U2 L' U2 L F2 | [X]
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| PLL | R' U2 R2 U' L' U R' U' L U R' U2 R | [X]
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| PLL | (y) R2 F2 (R' B' R) F2 (R' B R') | [X]
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A Permutation : b
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| PLL | R B' R F2 R' B R F2 R2 | [X]
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| PLL | (x) R D' R U2 R' D R U2 R2 | [X]
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| PLL | (x') R U' R D2 R' U R D2 R2 | [X]
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| PLL | (y' x) R2 D2 R U R' D2 R U' R | [X]
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| PLL | (y2 x) L U' L D2 L' U L D2 L2 | [X]
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| PLL | (y z) U2 L' U2 L F2 U2 R U2 R' F2 | [X]
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| PLL | (z') F2 L' U2 L U2 F2 R U2 R' U2 | [X]
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| PLL | (y') R' U2 R U' L' U R U' L U R2 U2 R | [X]
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| PLL | (z) (U R' D r2 U') (R U r2' U') (D') | [X]
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| PLL | (z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U) | [X]
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E Permutation
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| PLL | R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2' | [X]
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| PLL | x U R' U' L U R U' L' U R U' L U R' U' L' | [X]
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| PLL | y x' R U' R' D R U R' D2 L' U L D L' U' L | [X]
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| PLL | y x' R U' R' D R U R' D' R U R' D R U' R' D' | [X]
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| PLL | x U R' U' L U R U' r2' U' R U L U' R' U | [X]
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| PLL | y x R U' R' D R U R' u2 R' U R D R' U' R | [X]
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| PLL | y x (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L') | [X]
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| PLL | l' U' L' U R U' l U R' U' L U R U' l' U | [X]
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| PLL | (r' R' U') (L D' L' U L) (R U' R' D R) U | [X]
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| PLL | r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2 | [X]
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| PLL | x' U' R U L' U' R' U r2 U R' U' r' F R F' | [X]
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| PLL | y' z' R' F R2 U R' B' R U' R2 F' R z R B R' | [X]
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| PLL | R' U L' D2 L U' R L' U R' D2 R U' L | [X]
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| PLL | (R B L B' R') y (R L) y (L B' R' B L') y' (R' L') | [X]
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| PLL | l' U' (r' F R F') (R U R' U') L (U R U' R') F | [X]
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| PLL | (F' R U R' U') L' U R U' (l' U R' U' r) B R | [X]
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| PLL | U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R | [X]
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| PLL | U2 F R U R' U' F' U R U R' U' R' F R2 U' R' U' R U R2' F' R U R U' R' | [X]
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Permutations of Edges and Corners
F Permutation
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| PLL | (y2) R U' R' U R2 y R U R' U' x U' R' U R U2 | [X]
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| PLL | yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x' | [X]
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| PLL | R' U R U' R2 F' U' F U x R U R' U' R2 B' | [X]
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| PLL | R' U R U' R2' F' U' F U R U' x' R2 U' R' U | [X]
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| PLL | R' U R U' R2 y' R' U' R U y x R U R' U' R2 x' | [X]
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| PLL | y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U' | [X]
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| PLL | (y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F | [6]
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| PLL | (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2 | [X]
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| PLL | (y2) M U2 r' U l' U2 r U' R2 r U2 R2 | [X]
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| PLL | (y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R | [X]
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| PLL | L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L' | [X]
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| PLL | (r U R' U') z U' (l' U2 r' U') (r U2 l' U l2) | [X]
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G Permutation : a
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| PLL | (y) R2' u R' U R' U' R u' R2 y' R' U R | [X]
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| PLL | (y) R2 D B' U B' U' B D' R2 F' U F | [X]
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| PLL | (y2) F2' D R' U R' U' R D' F2 L' U L | [X]
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| PLL | R L U2 R' L' y' R' U L' U2 R U' L | [X]
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G Permutation : b
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| PLL | R' U' R y R2 u R' U R U' R u' R2 | [X]
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| PLL | R' U' R B2 D L' U L U' L D' B2 | [X]
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| PLL | (y2) L' U' L y' R2' u R' U R U' R u' R2 | [X]
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| PLL | (y') R' U L' U2 R U' L y R L U2 L' R' | [X]
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G Permutation : c
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| PLL | (y) R2' u' R U' R U R' u R2 y R U' R' | [X]
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| PLL | (y) R2' u' R U' R U R' u R2 B U' B' | [X]
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| PLL | (y) R2' D' F U' F U F' D R2 B U' B' | [X]
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| PLL | (y2) F2' D' L U' L U L' D F2 R U' R' | [X]
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| PLL | L' R' U2 L R (y) L U' R U2 L' U R' | [X]
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| PLL | (y') l' U' U' L' U l F' U' L U F R' F R | [X]
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G Permutation : d
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| PLL | (y2) R U R' y' R2 u' R U' R' U R' u R2 | [X]
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| PLL | (y2) R U R' F2 D' L U' L' U L' D F2 | [X]
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| PLL | (y2) l2 U' L2 U' F2 L' U' R U2 L' U l x | [X]
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| PLL | (y) L U' R U2 L' U R' y R' L' U2 R L | [X]
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| PLL | (y) L U' R U2 L' U R' y' L' R' U2 L R | [X]
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| PLL | (y') R' F' R F' U' L' U F R' F' L F2 R | [X]
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| PLL | U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R | [X]
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J Permutation : a
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| PLL | (y2) R' U2 R U R' z R2' U R' D R U' | [X]
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| PLL | (y2) L U' R' U L' U2 R U' R' U2 R | [7]
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| PLL | (y2) L' R' U2 R U R' U2 L U' R U | [X]
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| PLL | (y2) F2 L' U' r U2 l' U R' U' R2 | [X]
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| PLL | (y2) R' U2 R U R' U2' L U' R U L' | [X]
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| PLL | (y2) x U2 r' U' r U2 l' U R' U' R2 | [X]
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| PLL | (y) R' U L' U2 R U' R' U2 L R U' | [X]
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| PLL | U' L' U R' z R2 U R' U' R2 U D | [X]
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| PLL | B2' R2 U' R2' u R2 D' R2' U R2 | [X]
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| PLL | R U' L' U R' U2 L U' L' U2' L | [X]
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| PLL | R L d2 R' U' R d2 R' U L' | [X]
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| PLL | (L' U R' U2 L U' R) U (L' U R' U2 L U' R) | [X]
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| PLL | L' U R' U2 L U' R U L' U R' U2 L U' R | [X]
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| PLL | L' U2 L U L' U2 R U' L U R' | [X]
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| PLL | L' U' L F L' U' L U L F' L2 U L U | [X]
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J Permutation : b
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| PLL | R U2 R' U' R U2 L' U R' U' L | [X]
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| PLL | R U2 R' U' R d2' R' U L' U' R | [X]
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| PLL | y2 R L U2 L' U' L U2 R' U L' U' | [X]
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| PLL | (R U R' F') (R U R' U' R') F (R2 U' R' U') | [X]
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| PLL | y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2 | [X]
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| PLL | y' L' U' R U2 L' U L U2 L' R U | [X]
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| PLL | y2 F2' R U R' y r2 y' R U' R U R2' | [X]
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| PLL | L' U R U' L U2 R' U R U2' R' | [X]
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| PLL | y2 r2 U' L' U r' U2 R B' R' U2 | [X]
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| PLL | (R U' L U2 R' U L) U' (R U' L U2 R' U L) | [X]
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| PLL | L' U R' U2 L U' L' U2 R L | [X]
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| PLL | R U R' F' R U R' U' R' F R2 U' R' U' | [X]
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| PLL | y2 (F2) R U R' (F2) L D' L D L2 | [X]
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N Permutation : a
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| PLL | R' U R2 B2 U R' B2' R U' B2 R2' U' R | [X]
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| PLL | z D R' U R2 D' R (U' D) R' U R2 D' R U' R | [X]
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| PLL | y' L U' R U2 L' U R' L U' R U2 L' U R' | [X]
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| PLL | R U' R' U l U F U' R' F' R U' R U l' U R' | [X]
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| PLL | L U' L' U L F U F' L' U' L F' L F L' U L' | [X]
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| PLL | R U' L d2 L' U L R' U' R U2 r' F l' U' y2 | [X]
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| PLL | L U' R U2 L' U R' L U' R U2 L' U R' U' | [X]
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| PLL | y z R' U R' D R2' U' R U D' R' D R2' U' R D' | [X]
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| PLL | R U' L d2 L' U L R' U' R U2 L' U R' U' | [X]
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| PLL | F' R U R' U' R' F R2 F U' R' U' R U F' R' | [X]
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| PLL | z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y | [X]
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N Permutation : b
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| PLL | R U' R2' F2 U' R F2' R' U F2 R2 U R' | [X]
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| PLL | z U' R D' R2' U R' (U' D) R D' R2 U R' D | [X]
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| PLL | z (D' R U' R2' D R3 U) 2 | [X]
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| PLL | L' U R' U2' L U' L' R U R' U2' L U' R U' | [X]
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| PLL | R' U R U' R' F' U' F R U R' F R' F' R U' R | [X]
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| PLL | z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U' | [X]
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| PLL | L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U' | [X]
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| PLL | L' U L U' r' U' F' U L F L' U L' U' r U' L | [X]
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| PLL | L U' R U2 L' U R' L U' R U2 L' U R' U' | [X]
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| PLL | R' U R U' R' F' U' F R U R' U' R' d R U R' | [X]
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| PLL | R' U L' U2 R U' L R' U L' U2 R U' L | [X]
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R Permutation : a
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| PLL | y2 z U R2 U' R2 U F' U' R' U R U F U2 R | [X]
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| PLL | y' R2 B' R' U' R' U R B R' U2 R U2 R' | [X]
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| PLL | R U2 R' U2 R B' R' U' R U R B R2' U | [X]
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| PLL | R U2 R' U2 R B' R' U' R U l U R2 F | [X]
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| PLL | U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R' | [X]
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| PLL | y' R U R' F' R U2 R' U2 R' F R U R U2 R' U' | [X]
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| PLL | R U2 R' U' R' F' R U2 R U2 R' F R U' R' U | [X]
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| PLL | R U2 R D R' U R D' R' U' R' U R U R' U | [X]
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| PLL | y2 L U2 L' U2 L F' L' U' L U L F L2 U | [X]
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| PLL | R l U' l' U' R' U l U l' U2 R U2' R' | [X]
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R Permutation : b
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| PLL | R' U2 R U2 R' F R U R' U' R' F' R2' U' | [X]
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| PLL | y R2 B2 U' R' U' R U R U B2 R U' R U | [X]
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| PLL | R' U2 R U' y' R' F R B' R' F' R z x' R' U R' | [X]
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| PLL | y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F' | [X]
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| PLL | R' U2 R' D' R U' R' D R U R U' R' U' R U' | [X]
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| PLL | (y x) R2 U l U R U' l' U' l U2 R' U2 R | [X]
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| PLL | r' L' U r U L U' r' U' r U2 L' U2 L | [X]
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T Permutation
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| PLL | R U R' U' R' F R2 U' R' U' R U R' F' | [X]
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| PLL | y2 L' U' L U L F' L2 U L U L' U' L F | [X]
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| PLL | F R U' R' U R U R2 F' R U R U' R' | [X]
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| PLL | L2 U' L2 D F2 R2 U R2 D' F2 | [X]
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| PLL | R2 U' R2 D B2 L2 U L2 D' B2 | [X]
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| PLL | R2' u' R2 U R2' y R2 u R2' U' R2 | [X]
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| PLL | R2 U R2' U' R2 U' D R2' U' R2 U R2' D' | [X]
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| PLL | (z x2) U2 r' U2 r U2 x U2 r U2 r' U2 | [X]
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V Permutation
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| PLL | R' U R' U' y x R' U' R2 x' U' R' U R' F R F | [X]
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| PLL | R' U R' U' B' D B' D' B2 R' B' R B R | [X]
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| PLL | R' U R' U' x2 y' R' U R' U' l R U' R' U R U | [X]
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| PLL | y L' U R U' L U L' U R' U' L U2 R U2 R' | [X]
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| PLL | y2 R U' L' U R' U' R U' L U R' U2 L' U2 L | [X]
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| PLL | y' R' U L U' R U R' U L' U' R U2 L U2 L' | [X]
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| PLL | L U' R' U L' U' L U' R U L' U2 R' U2 R | [X]
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| PLL | R' U R' d' R' F' R2 U' R' U R' F R F | [X]
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| PLL | R' U R' U' y z' U' R U' R' U2 y' R' U' R U R | [X]
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| PLL | R' U R' U' y R' F' R2 U' R' U R' F R F | [X]
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| PLL | R' U R' U' y R' D R' D' R2 F' R' F R F | [X]
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| PLL | R' U2 R U2 L U' R' U L' U L U' R U L' | [X]
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| PLL | R' U2 R U2 L U' R' U r' F r U' R U r' | [X]
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| PLL | R2 U' (B2 U B2) (R D') (R D) R' U R U' R | [X]
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Y Permutation
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| PLL | F R U' R' U' R U R' F' R U R' U' R' F R F' | [X]
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| PLL | R2 u R2' U R2 D' R' U' R F2' R' U R | [X]
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| PLL | F R' F R2 U' R' U' R U R' F' R U R' U' F' | [X]
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| PLL | R' U' R F2 R' U R d R2 U' R2' U' R2 | [X]
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| PLL | R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z | [X]
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| PLL | y F' L' U L U L' U' L F L' U' L U L' F' L F | [X]
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| PLL | F R U' R' F D R' y x R' U' R z R2 y L' d2 | [X]
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| PLL | z' U2 L' U' L U L' y' L' U' R U' R' U' L U | [X]
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| PLL | F R' F' R U R U' R2 U' R U l U' R' U | [X]
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| PLL | z U2 R U R' U' R y R U L' U L U R' U' | [X]
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| PLL | F R U' R' U' R d R U R' B' R U' R2 | [X]
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| PLL | R' F R F' y' U' R' U R2 U R' U' R' F R F' U' | [X]
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| PLL | y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B' | [X]
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PLL |
H | Ua | Ub | Z | Aa | Ab | E | F | Ga | Gb | Gc | Gd | Ja | Jb | Na | Nb | Ra | Rb | T | V | Y | edit |
See Also
External Links
- PLL Cheat Sheet (Printable PDF of all PLL algorithms on a single page)
