PLL

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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.

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

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]
PLL M2 U' M2 U2' M2 U' M2
PLL R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'
PLL U' M2 U2 M2 U M2 U2 M2
PLL F2 M2 F2 U' F2 M2 F2 U
PLL x U2 M2 U2 B' U2 M2 U2 B
PLL R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'
PLL L R U2 L' R' F' B' U2 F B
PLL R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U
PLL R2 U2 R U2 R2 U2 R2 U2 R U2 R2
PLL M2 U M2 U M2 U M2 U M2 U M2 U'
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
PLL M2 U2' M2 U' M2 U2' M2 U


U Permutation : a

PLL (y2) F2 U' L R' F2 L' R U' F2
PLL M2 U M' U2 M U M2
PLL (y2) M2 U M U2 M' U M2
PLL R2 U' R' U' R U R U R U' R
PLL (y2) L2 U' L' U' L U L U L U' L
PLL B2 U' M U2 M' U' B2
PLL (y2) R U' R U R U R U' R' U' R2
PLL M2 U M' U2 M U2 M' U2 M U M2
PLL (y) R2 U' y r U2 r' R U2 R' y' U' R2
PLL R U R' U' L' U' L U2 R U' R' U' L' U L
PLL (y) R2' U' S' U2 S U' R2'


U Permutation : b

PLL (y2) F2 U R' L F2 R L' U F2
PLL M2 U' M' U2 M U' M2
PLL (y2) M2 U' M U2 M' U' M2
PLL R' U R' U' R' U' R' U R U R2
PLL (y2) R2' U R U R' U' R' U' R' U R'
PLL B2 U M U2 M' U B2
PLL L2 U L U L' U' L' U' L' U L'
PLL R U' R U R U R' U' R' U' R' U2 R'
PLL M2 U' M' U2 M U2 M' U2 M U' M2
PLL L' U' L U R U R' U2 L' U L U R U' R'
PLL R U R' U' L' U' L U2 R U' R' U' L' U L


Z Permutation

PLL y x' R U' R' U D R' D U' R' U R D2' F x
PLL x L' U L U' D' L D' U L U' L' D2 F' x'
PLL M2 U M2 U M U2 M2 U2 M U2
PLL y M2 U M2 U M' U2 M2 U2 M' U2
PLL y M2' U' M' U2' M2' U2' M' U M2'
PLL y U R' U' R U' R U R U' R' U R U R2 U' R' U [2]
PLL R' U' R2 U R U R' U' R U R U' R U' R' U2 [3]
PLL R B' R' B F R' F B' R' B R F2 U [4]
PLL R2 U R2 U' R2 F2 R2 U' F2 U R2 F2
PLL y' M2 U2 M' U' M2 U' M2 U' M' U
PLL R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L
PLL R' U L' E2 L U' R L' U R' E2 R U' L'
PLL y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2
PLL M' U M2 U M2 U M' U2 M2 U'
PLL U' l' U R U' D' R U D' R U' R' D2
PLL d R U R2 U' R' F R U R U' R U' R' U' R U R' F'
PLL M2 U' M E2 M E2 U M2
PLL F2 M2 F2 M2 U M2 U M2 U2
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]
PLL y R U R' U R' U' R' U R U' R' U' R2 U R U2
PLL y' R U R B' R' B U' R' f R U R' U' f'
PLL (x2 y) M2 U S2 U' S' M2 S
PLL M2 U (F2 M2 F2 M2) U' M2
PLL y M2 U2 M' U M2 U M2 U M' U'
PLL R' U' R' F R F' U R F' U' L' U L F
PLL x' R U' R' U D R' D U' R' U R D2' F


Permutations of Corners Only

This is also known as CPLL (Corner Permute Last Layer).


A Permutation : a

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


A Permutation : b

PLL R B' R F2 R' B R F2 R2
PLL (x) R D' R U2 R' D R U2 R2
PLL (x') R U' R D2 R' U R D2 R2
PLL (y' x) R2 D2 R U R' D2 R U' R
PLL (y2 x) L U' L D2 L' U L D2 L2
PLL (y z) U2 L' U2 L F2 U2 R U2 R' F2
PLL (z') F2 L' U2 L U2 F2 R U2 R' U2
PLL (y') R' U2 R U' L' U R U' L U R2 U2 R
PLL (z) (U R' D r2 U') (R U r2' U') (D')
PLL (z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)


E Permutation

PLL R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'
PLL x U R' U' L U R U' L' U R U' L U R' U' L'
PLL y x' R U' R' D R U R' D2 L' U L D L' U' L
PLL y x' R U' R' D R U R' D' R U R' D R U' R' D'
PLL x U R' U' L U R U' r2' U' R U L U' R' U
PLL y x R U' R' D R U R' u2 R' U R D R' U' R
PLL y x' (L' U L) D' (L' U' L) u2 (L U' L') D' (L U L')
PLL l' U' L' U R U' l U R' U' L U R U' l' U
PLL (r' R' U') (L D' L' U L) (R U' R' D R) U
PLL r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2
PLL x' U' R U L' U' R' U r2 U R' U' r' F R F'
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 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
PLL U' R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R
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'
PLL (R' D' R) U' (R' D R) U (R' D' R) U2 (R' D R) U' (R' D' R) U (R' D R) U2
PLL U2 (R L' U' L U R' U' L' U L) U2 (r U R' U' L' U R U')


Permutations of Edges and Corners

F Permutation

PLL (y2) R U' R' U R2 y R U R' U' x U' R' U R U2
PLL yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'
PLL R' U R U' R2 F' U' F U x R U R' U' R2 B'
PLL R' U R U' R2' F' U' F U R U' x' R2 U' R' U
PLL R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'
PLL y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'
PLL (y2) R' U2 R' d' R' F' R2 U' R' U R' F R U' F [6]
PLL (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2
PLL (y2) M U2 r' U l' U2 r U' R2 r U2 R2
PLL (y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R
PLL L U2 L U2 R' U L U L U' L' U2 R U2 L' U' L'
PLL (r U R' U') z U' (l' U2 r' U') (r U2 l' U l2)
PLL y M2 U M2 y' T permutation/(R U R' U' R' F R2 U' R' U' R U R' F') y M2 U' M2


G Permutation : a

PLL (y) R2' u R' U R' U' R u' R2 y' R' U R
PLL (y) R2 D B' U B' U' B D' R2 F' U F
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 (y) d' L U' R' U L' U' L U L' U L U2 L' U R U' R' U R U' R' U2 R


G Permutation : b

PLL R' U' R y R2 u R' U R U' R u' R2
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 (y2) d R' U2 R U R' U' R U R' U' L U2 L' U' L U' L' U L U' R U L'


G Permutation : c

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' 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' R' U2 L R (y) L U' R U2 L' U R'
PLL (y') l' U' U' L' U l F' U' L U F R' F R
PLL (y') d R' U L U' R U R' U' R U' R' U2 R U' L' U L U' L' U L U2 L'


G Permutation : 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) 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) L U' R U2 L' U R' y' L' R' U2 L R
PLL (y') R' F' R F' U' L' U F R' F' L F2 R
PLL (y2) d' L U2 L' U' L U L' U' L U R' U2 R U R' U RU' R' U L' U' R
PLL U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R 
(This one seems long, but it's just a combination of A(a) and U(a))

J Permutation : a

PLL (y2) R' U2 R U R' z R2' U R' D R U'
PLL (y2) L U' R' U L' U2 R U' R' U2 R [7]
PLL (y2) L' R' U2 R U R' U2 L U' R U
PLL (y2) F2 L' U' r U2 l' U R' U' R2
PLL (y2) R' U2 R U R' U2' L U' R U L'
PLL (y2) x U2 r' U' r U2 l' U R' U' R2
PLL (y) R' U L' U2 R U' R' U2 L R U'
PLL U' L' U R' z R2 U R' U' R2 U D
PLL B2' R2 U' R2' u R2 D' R2' U R2
PLL R U' L' U R' U2 L U' L' U2' L
PLL R L d2 R' U' R d2 R' U L'
PLL (L' U R' U2 L U' R) U (L' U R' U2 L U' R)
PLL L' U R' U2 L U' R U L' U R' U2 L U' R
PLL L' U2 L U L' U2 R U' L U R'
PLL L' U' L F L' U' L U L F' L2 U L U


J Permutation : b

PLL R U2 R' U' R U2 L' U R' U' L
PLL R U2 R' U' R d2' R' U L' U' R
PLL y2 R L U2 L' U' L U2 R' U L' U'
PLL (R U R' F') (R U R' U' R') F (R2 U' R' U')
PLL y' L U' Rw U2 Lw' U R' U' Lw2 F2 L2
PLL y' L' U' R U2 L' U L U2 L' R U
PLL y2 F2' R U R' y r2 y' R U' R U R2'
PLL L' U R U' L U2 R' U R U2' R'
PLL y2 r2 U' L' U r' U2 R B' R' U2
PLL (R U' L U2 R' U L) U' (R U' L U2 R' U L)
PLL L' U R' U2 L U' L' U2 R L
PLL R U R' F' R U R' U' R' F R2 U' R' U'
PLL y2 (F2) R U R' (F2) L D' L D L2


N Permutation : a

PLL R' U R2 B2 U R' B2' R U' B2 R2' U' R
PLL z D R' U R2 D' R (U' D) R' U R2 D' R U' R
PLL y' L U' R U2 L' U R' L U' R U2 L' U R'
PLL R U' R' U l U F U' R' F' R U' R U l' U R'
PLL L U' L' U L F U F' L' U' L F' L F L' U L'
PLL R U' L d2 L' U L R' U' R U2 r' F l' U' y2
PLL L U' R U2 L' U R' L U' R U2 L' U R' U'
PLL y z R' U R' D R2' U' R U D' R' D R2' U' R D'
PLL R U' L d2 L' U L R' U' R U2 L' U R' U'
PLL F' R U R' U' R' F R2 F U' R' U' R U F' R'
PLL z U2 R2 U' R2 y' R2 U2 R2 U R2 y R2 U2 R2 d R2 x y
PLL z U R' U' R U F R F' U' R' U F' U F U' R U'


N Permutation : b

PLL R U' R2' F2 U' R F2' R' U F2 R2 U R'
PLL z U' R D' R2' U R' (U' D) R D' R2 U R' D
PLL z (D' R U' R2' D R3 U) 2
PLL L' U R' U2' L U' L' R U R' U2' L U' R U'
PLL R' U R U' R' F' U' F R U R' F R' F' R U' R
PLL z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'
PLL L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'
PLL L' U L U' r' U' F' U L F L' U L' U' r U' L
PLL L U' R U2 L' U R' L U' R U2 L' U R' U'
PLL R' U R U' R' F' U' F R U R' U' R' d R U R'
PLL R' U L' U2 R U' L R' U L' U2 R U' L


R Permutation : a

PLL y2 z U R2 U' R2 U F' U' R' U R U F U2 R
PLL y' R2 B' R' U' R' U R B R' U2 R U2 R'
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 F
PLL U2 R' U' R U2 R U2 L' R2 U R U' R L U2 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
PLL R U2 R D R' U R D' R' U' R' U R U R' U
PLL y2 L U2 L' U2 L F' L' U' L U L F L2 U
PLL R l U' l' U' R' U l U l' U2 R U2' R'


R Permutation : b

PLL R' U2 R U2 R' F R U R' U' R' F' R2' U'
PLL y R2 B2 U' R' U' R U R U B2 R U' R U
PLL R' U2 R U' y' R' F R B' R' F' R z x' R' U R'
PLL y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'
PLL R' U2 R' D' R U' R' D R U R U' R' U' R U'
PLL (y x) R2 U l U R U' l' U' l U2 R' U2 R
PLL r' L' U r U L U' r' U' r U2 L' U2 L


T Permutation

PLL R U R' U' R' F R2 U' R' U' R U R' F'
PLL y2 L' U' L U L F' L2 U L U L' U' L F
PLL F R U' R' U R U R2 F' R U R U' R'
PLL L2 U' L2 D F2 R2 U R2 D' F2
PLL R2 U' R2 D B2 L2 U L2 D' B2
PLL R2' u' R2 U R2' y R2 u R2' U' R2
PLL R2 U R2' U' R2 U' D R2' U' R2 U R2' D'
PLL (z x2) U2 r' U2 r U2 x U2 r U2 r' U2


V Permutation

PLL F R U' R' U' R U R' F' R U R' U' R' F R' F'
PLL R' U R' U' y x R' U' R2 x' U' R' U R' F R F
PLL R' U R' U' B' D B' D' B2 R' B' R B R
PLL R' U R' U' x2 y' R' U R' U' l R U' R' U R U
PLL y L' U R U' L U L' U R' U' L U2 R U2 R'
PLL y2 R U' L' U R' U' R U' L U R' U2 L' U2 L
PLL y' R' U L U' R U R' U L' U' R U2 L U2 L'
PLL L U' R' U L' U' L U' R U L' U2 R' U2 R
PLL R' U R' d' R' F' R2 U' R' U R' F R F
PLL R' U R' U' y z' U' R U' R' U2 y' R' U' R U R
PLL R' U R' U' y R' F' R2 U' R' U R' F R F
PLL R' U R' U' y R' D R' D' R2 F' R' F R F
PLL R' U2 R U2 L U' R' U L' U L U' R U L'
PLL R' U2 R U2 L U' R' U r' F r U' R U r'
PLL R2 U' (B2 U B2) (R D') (R D) R' U R U' R


Y Permutation

PLL F R U' R' U' R U R' F' R U R' U' R' F R F' [8]
PLL R2 u R2' U R2 D' R' U' R F2' R' U 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' R' U R U' z' y' L' U' R U' R' U' L U y z
PLL y F' L' U L U L' U' L F L' U' L U L' F' L F
PLL F R U' R' F D R' y x R' U' R z R2 y L' d2
PLL z' U2 L' U' L U L' y' L' U' R U' R' U' L U
PLL F R' F' R U R U' R2 U' R U l U' R' U
PLL z U2 R U R' U' R y R U L' U L U R' U'
PLL F R U' R' U' R d R U R' B' R U' R2
PLL R' F R F' y' U' R' U R2 U R' U' R' F R F' U'
PLL y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'



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

See Also

External Links

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