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 |
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)
- Speedsolving.com: Recognizing PLLs from only 2 sides
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 sub step 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 | |
| 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 | S R U2 R2 U2 R2 U2 R S' | |
| 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 | L R U2 L' R' y L' R' U2 L R | |
| 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 | |
| PLL | R2' U2 R' U2 R2' U2' R2' U2 R' U2 R2' | |
U Permutation : a
Name: U-PLL 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
Name: U-PLL 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
Name: Z-PLL |
| 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 | |
| PLL | R' U' R2 U R U R' U' R U R U' R U' R' U2 | |
| PLL | R B' R' B F R' F B' R' B R F2 U | |
| 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 | |
| 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 | |
| PLL | (R' U' R2 U) (R U R' U' R U R U') (R U' R' U2) | |
Permutations of Corners Only
This is also known as CPLL (Corner Permute Last Layer). There is one more case in this group, the X-PLL but that is the same alg as H-PLL + U2, see EPLL.
A Permutation : a
Name: A-PLL 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
Name: A-PLL 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
Name: E-PLL |
| 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 | L R' U' R U L' U' R' U Rr U R' U' r' F R F' | |
| 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 | R2 U R' y (R U' R' U)3 y' R 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') | |
| PLL | Z U2 R2 F (R U R' U') (R U R' U') (R U R' U') F' R2 U2 Z' | |
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 | |
| 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
Name: G-PLL 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
Name: G-PLL 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' U2 | |
| 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
Name: G-PLL 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
Name: G-PLL 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 | |
| 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 | |
| PLL | y R2 (U D') R2' U R2 U' R2' D R2 U' R2' U | |
J Permutation : b
| PLL | R U R' F' R U R' U' R' F R2 U' R' U' | |
| 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 | 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' | |
| PLL | (R U R' U) (R U R') F' (R U R' U') (R' F R2 U' R' U2) (R U' R') | |
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
Name: R-PLL a |
| PLL | y2 z U R2 U' R2 U F' U' R' U R U F U2 R | |
| PLL | y' R U R' F' R U2 R' U2 R' F R U R U2 R' U' | |
| PLL | R U' R F2 U R U R U' R' U' F2 R2 U | |
| 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 | y2 R' U' R U2 R U2 L' R2 U R U' R L U2 R' | |
| 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' | |
| PLL | y x' R' U' F' U R' U' x U R' U' R' U R B R2 | |
| PLL | y2 U' L2 F' L' U' L' U L F L' U2 L U2 L' | |
R Permutation : b
Name: R-PLL 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 | |
| PLL | U R2 F R U R U' R' F' R U2 R' U2 R | |
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 | y2 B L U' L' U L U L2 B' L U L U' L' | |
| 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
Name: V-PLL |
| PLL | R' U R' U' y x R' F R' F' R2 U' R' U R U | |
| PLL | R' U R' U' y x R' U' R2 B' R' B R' U R U | |
| 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 | 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' U R' d' R' F' R2 U' R' U 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 | |
| PLL | y' R' U L U' R U R' U L' U' R U2 L U2 L' | |
| PLL | y2 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 | y L' U R U' L U L' U R' U' L U2 R U2 R' | |
Y Permutation
| PLL | F R U' R' U' R U R' F' R U R' U' R' F R F' | |
| 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 | R2 U' R2 U' R2 d R U R' B2 R U' R' | |
PLL |
H | Ua | Ub | Z | Aa | Ab | E | F | Ga | Gb | Gc | Gd | Ja | Jb | Na | Nb | Ra | Rb | T | V | Y | edit |