How many PLL algorithms are there?

There are 21 PLL cases, and full PLL uses one algorithm for each. 2-look PLL needs only 6: T Perm or Y Perm to place the corners, then Ua Perm, Ub Perm, H Perm, or Z Perm to cycle the edges.

Which PLL algorithms are the shortest?

Shortest: Ua Perm, Ub Perm, and H Perm, 7 moves each. Longest: Na Perm, 21 moves. Move counts exclude cube rotations (x, y, z).

How often does each PLL case come up?

16 of the 21 cases each come up with probability 1/18. Rarer: Z Perm and E Perm (1/36 each); H Perm, Na Perm, and Nb Perm (1/72 each). A PLL skip (the last layer already solved) happens with probability 1/72.

All PLL Cases and Algorithms

Find the headlights (two matching corners) first. The six cases marked 2-look are enough to finish every solve.

Practice this set →Printable cheat sheet →

Edges only

Ua Perm
7 moves · 1/182-look
M2 U M U2 M' U M2
Ub Perm
7 moves · 1/182-look
M2 U' M U2 M' U' M2
H Perm
7 moves · 1/722-look
M2 U M2 U2 M2 U M2
Z Perm
10 moves · 1/362-look
M' U M2 U M2 U M' U2 M2 U'

Adjacent corner swap

T Perm
14 moves · 1/182-look
R U R' U' R' F R2 U' R' U' R U R' F'
Jb Perm
13 moves · 1/18
R U R' F' R U R' U' R' F R2 U' R'
Ja Perm
10 moves · 1/18
R' U L' U2 R U' R' U2 R L
Ra Perm
15 moves · 1/18
R U' R' U' R U R D R' U' R D' R' U2 R'
Rb Perm
13 moves · 1/18
R2 F R U R U' R' F' R U2 R' U2 R
F Perm
18 moves · 1/18
R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R

Diagonal corner swap

Y Perm
17 moves · 1/182-look
F R U' R' U' R U R' F' R U R' U' R' F R F'
V Perm
16 moves · 1/18
R' U R' U' R D' R' D R' U D' R2 U' R2 D R2
Na Perm
21 moves · 1/72
R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R'
Nb Perm
17 moves · 1/72
R' U R U' R' F' U' F R U R' F R' F' R U' R

Corners only

Aa Perm
9 moves · 1/18
R' F R' B2 R F' R' B2 R2
Ab Perm
9 moves · 1/18
R B' R F2 R' B R F2 R2
E Perm
16 moves · 1/36
R B' R' F R B R' F' R B R' F R B' R' F'

G perms

Ga Perm
15 moves · 1/18
R2 U R' U R' U' R U' R2 U' D R' U R D'
Gb Perm
15 moves · 1/18
R' U' R U D' R2 U R' U R U' R U' R2 D
Gc Perm
15 moves · 1/18
R2 U' R U' R U R' U R2 U D' R U' R' D
Gd Perm
15 moves · 1/18
R U R' U' D R2 U' R U' R' U R' U R2 D'

Frequently asked questions

How many PLL algorithms are there?: There are 21 PLL cases, and full PLL uses one algorithm for each. 2-look PLL needs only 6: T Perm or Y Perm to place the corners, then Ua Perm, Ub Perm, H Perm, or Z Perm to cycle the edges.
Which PLL algorithms are the shortest?: Shortest: Ua Perm, Ub Perm, and H Perm, 7 moves each. Longest: Na Perm, 21 moves. Move counts exclude cube rotations (x, y, z).
How often does each PLL case come up?: 16 of the 21 cases each come up with probability 1/18. Rarer: Z Perm and E Perm (1/36 each); H Perm, Na Perm, and Nb Perm (1/72 each). A PLL skip (the last layer already solved) happens with probability 1/72.