Permutation of the last layer (PLL)
Standard
Since the 1990s
Proven complete
Move the oriented last-layer pieces home: 21 cases.
Adj Swap
Aa
x R' U R' D2 R U' R' D2 R2 x'
9 HTM · one-handed sheet · 5.6% · 5 algs
Ab
x R2' D2 (R U R') D2 (R U' R) x'
9 HTM · one-handed sheet · 5.6% · 6 algs
F
(U2) y' (R U R' U') (R' U R U2') L' (R' U R U') L (U' R U' R')
18 HTM · one-handed sheet · 5.6% · 6 algs
Ga
R2 U (R' U R' U') (R U' R2) D U' (R' U R D') U
16 HTM · one-handed sheet · 5.6% · 5 algs
Gb
(U) y' (R' U' R U) D' (R2 U R' U) (R U' R U') R2 D U'
16 HTM · one-handed sheet · 5.6% · 6 algs
Gc
R2 U' (R U' R U) (R' U R2 D') (U R U' R') D U'
16 HTM · one-handed sheet · 5.6% · 5 algs
Gd
D' (R U R' U') D (R2 U' R U') (R' U R' U) R2 U
16 HTM · one-handed sheet · 5.6% · 5 algs
Ja
(U2) (R' U L' U2) (R U' R' U2' R) L U'
11 HTM · one-handed sheet · 5.6% · 6 algs
Jb
R U2' R' U' R U2' L' U R' U' L
11 HTM · one-handed sheet · 5.6% · 5 algs
Ra
(U2) (R U' R' U') (R U R D) (R' U' R D') (R' U2' R') U'
16 HTM · one-handed sheet · 5.6% · 6 algs
Rb
(R' U2' R' D') (R U' R' D) (R U R U') (R' U' R) U'
16 HTM · one-handed sheet · 5.6% · 6 algs
T
R U R' U' R' F R2 U' R' U' R U R' F'
14 HTM · one-handed sheet · 5.6% · 4 algs
Opp Swap
E
y R2 U R' U' y (R U R' U') (R U R' U') (R U R') y' R U' R2
18 HTM · one-handed sheet · 2.8% · 6 algs
Na
(L U' R U2' L' U R') (L U' R U2' L' U R') U'
15 HTM · one-handed sheet · 1.4% · 6 algs
Nb
(R' U L' U2 R U' L) (R' U L' U2 R U' L) U
15 HTM · one-handed sheet · 1.4% · 6 algs
V
(R' U R U') x' (U R U2' R') (U' R U' R') U2' (R U R' U')
17 HTM · one-handed sheet · 5.6% · 6 algs
Y
F R U' R' U' R U R' F' R U R' U' R' F R F'
17 HTM · one-handed sheet · 5.6% · 5 algs
EPLL
H
R2 U2' R U2' R2 U2' R2 U2' R U2' R2
11 HTM · one-handed sheet · 1.4% · 5 algs
Ua
(U2) (R U' R U) R U (R U' R' U') R2
11 HTM · one-handed sheet · 5.6% · 6 algs
Ub
(U2) z (U' R U' R') (U' R' U' R) U R U2' z'
11 HTM · one-handed sheet · 5.6% · 6 algs
Z
y (R' U' R U') (R U R U') (R' U R U) R2 U' R' U2
16 HTM · one-handed sheet · 2.8% · 5 algs
Source: SpeedCubeDB, https://speedcubedb.com/a/3x3/PLL, retrieved 2026-10-28: case names, groups, setups and images, and the top-voted algorithms per case with their votes. One-handed algorithms: CubeSkills (Feliks Zemdegs and Andy Klise), https://www.cubeskills.com/uploads/pdf/tutorials/onehanded-pll-algorithms.pdf, retrieved 2026-10-28, each matched to the case the engine says it solves, the sheet's suggested algorithm first. Every algorithm shown was checked by the logic engine; rejected ones are listed in docs/db-exclusions.md.