4x4 edge permutation with parity
Niche
Since the 2010s
The last layer's edges permuted with PLL parity, corners solved: 9 cases.
EPLL parity 1
(U') B2 U L' R B2 L R' U B2
9 HTM · 5 algs
Adjacent swap
R U R' U' Rw2 F2 U2 2R2 U2 F2 Rw2 U R U' R'
16 HTM · 2 algs
Opposite swap
Rw2 F2 U2 2R2 U2 F2 Rw2
8 HTM · 2 algs
EPLL parity 4
B2 U' L' R B2 L R' U' B2
9 HTM · 5 algs
W permutation
U' R' U R' U' R' U' R' U R U' Uw2 2R2 Uw2 2R2 U2 Rw2
19 HTM · 1 alg
EPLL parity 6
F2 R2 L2 B2 D F2 R2 L2 B2
9 HTM · 5 algs
Oa Permutation
2L2 3L2 U 2L2 3L2 U 2L' 3L' U2 2L2 U2 2R2 Uw2 2R2 2U2 2L' 3L'
29 HTM · 1 alg
EPLL parity 8
B L' B' L R B' L' R B' L B R2
12 HTM · 5 algs
Ob Permutation
2L2 3L2 U' 2L2 3L2 U' 2L' 3L' U2 2L2 U2 2R2 Uw2 2R2 2U2 2L' 3L'
29 HTM · 1 alg
Source: Cubemuch, https://cubemuch.com/en/algs/4x4/epll-parity/, retrieved 2026-10-29: case names and groups, and each case's algorithms: those credited to the community sheets it cites first, in its order, then those its search found, best-scored first (no votes or setups). Every algorithm shown was checked by the logic engine; rejected ones are listed in docs/db-exclusions.md.