PLL Algorithms

Every algorithm for all 21 last-layer permutation cases, ranked by how often top solvers actually use them.

What makes this database different

Pro usage counts how often an algorithm appears in reconstructed solves by the world's fastest cubers, drawn from reco.nz and CubeRoot. Alongside it sits each algorithm's community vote count from SpeedCubeDB, so you can see where the crowd and the pros disagree.

A history graph traces each algorithm's popularity over time - the share of that year's solves that used it, rising as it catches on or fading as cubers move to something faster.

A method bar splits those uses by how people solve: CFOP is the grey baseline, and a fat coloured slice means ZB, ZZ or one-handed solvers favour the algorithm more than mainstream CFOP does.

  • ZB
  • ZZ
  • One-handed
  • CFOP baseline

Alg lists repeat themselves: the same turns show up reordered, behind a different alignment, or just spelled a different way - a slice M written as r'R , a wide l written as x'R . Those all move the cube through exactly the same states, so we fold them into one row and add up their votes.

Aa perm, written 15 ways
xR'UR' D2 RU'R' D2R2x'
194
l'UR' D2 RU'R' D2R2x'
+ 41
R'FR' B2 RF'R' B2R2
+ 24
x'R' D R'U2R D'R'U2R R
+ 16
R'FR' f2 rU'r' f2R2
+ 9
xR'UR' D2 RU'R' D2R2
+ 5
R'FR' f2 LF'L' f2R2
+ 2
l'UR' D2 RU'R' D2R2
+ 2
l'U R'D2RU'R'D2R l
+ 2
xR'U R'D2RU'R'D2R lU'
+ 0
U2l'UR' D2 RU'R' D2x'R2U2
+ 0
U'l'UR' D2 RU'R' D2lRU
+ 0
R'xUR' D2 RU'R' D2R2x'U2
+ 0
U'R'xUR' D2 RU'R' D2x'R2U'
+ 0
U'xR'UR' D2 RU'R' D2lRU'
+ 0
xR'UR' D2 RU'R' D2R2x' Ă—15
= 295

Mirrors are the exception: a left-handed version keeps its own row, because doing an algorithm on the other side is a genuinely different thing to learn.

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Grouping gives an algorithm a shape you can picture instead of a string you have to spell, and it exposes the family resemblances: algorithms built from the same trigger carry the same colour, so the one you already know gives you a head start on the next. The Rightie RUR'U' gets one colour, the sledgehammer R'FRF' another. Hover any box for its name.

RUR'U' R'FR2U' R'U' RUR'F'
The T perm as a cuber executes it, trigger by trigger.
r'D'FrU'r'F'Dr rUr'U' r'FrF'
Nb's four-move setup around a single U', shaded deepest at the move it sets up for.
R RURUR'U'R'U'R' UR'
Ub, whose setup starts halfway through a written double - the grouping still finds it.

Cubers have always marked triggers by hand, in parentheses: F (R U R' U') (R U R' U') F'. The boxes are that convention drawn instead of typed, and they are worked out from the moves themselves rather than stored per algorithm - so every algorithm in the database has them, including the ones nobody ever bracketed.

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PLL Overview most-used algorithms for every case

Aa Perm 1/18
71%
All 64 algs
Ab Perm 1/18
66%
U 17%
All 62 algs
E Perm 1/36
U 89%
All 43 algs
F Perm 1/18
U 93%
All 45 algs
Ga Perm 1/18
67%
14%
12%
All 45 algs
Gb Perm 1/18
U 41%
34%
15%
All 39 algs
Gc Perm 1/18
U2 57%
32%
All 42 algs
Gd Perm 1/18
56%
19%
14%
All 43 algs
H Perm 1/72
49%
34%
12%
All 43 algs
Ja Perm 1/18
41%
U 38%
All 85 algs
Jb Perm 1/18
97%
All 27 algs
Na Perm 1/72
95%
All 33 algs
Nb Perm 1/72
31%
26%
20%
All 51 algs
Ra Perm 1/18
U 74%
All 30 algs
Rb Perm 1/18
63%
34%
All 17 algs
T Perm 1/18
90%
All 23 algs
Ua Perm 1/18
39%
U2 31%
12%
All 39 algs
Ub Perm 1/18
31%
U2 31%
U2 24%
All 48 algs
V Perm 1/18
46%
32%
U 14%
All 50 algs
Y Perm 1/18
97%
All 31 algs
Z Perm 1/36
35%
U 27%
18%
All 58 algs

Algorithms last updated