PLL parity

Swap two dedges (or a pair of corners) on a 4x4's last layer: 22 cases.

What it is

PLL parity is a last layer a 3x3 cannot have: two edges (or two corners) swapped alone. The core algorithm swaps two opposite dedges; the other cases add a 3x3 PLL around it.

Recognition

Compare the last layer's corners and dedges: if one of them needs an odd number of swaps to solve and the other an even number, it is PLL parity; if both need an odd number or both an even number, it is an ordinary 3x3 PLL.
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Edge Swap

OPP Parity
2R2 U2 2R2 Uw2 2R2 Uw2
9 HTM · 4 algs
Adj Parity
R' U R U' 2R2 U2' 2R2 Uw2' 2R2 Uw2' U' R' U' R
17 HTM · 2 algs
CwO
u2 2R2 u2 2R2 U2 2R2 U R' U' R U' R U R U' R' U R U R2 U' R'
25 HTM · 3 algs
CcwO
Uw2 2L2 Uw2 2L2 U2 3Rw' Rw2 R' U2 M2 U2 M' U M2 U M2
22 HTM · 3 algs
W
R' U R' U' R' U' R' U R U Rw2 U2 2R2 Uw2 2R2 Uw2
18 HTM · 3 algs

Adj Corner Swap

Pj
R U R' U' R' F R2 U' R' U' R U R' F' U' 2L2 U2 2L2 Uw2 2L2 Uw2
24 HTM · 3 algs
Ba
Uw2 2L2 Uw2 2L2 U2 2L2 U R U R' F' R U R' U' R' F R2 U' R'
23 HTM · 3 algs
Bb
(U) y x Rw2 U2 Rw2 Uw2 2R2 Uw2 B 3Rw' U R' U2 L U' R
15 HTM · 3 algs
Ca
(U2) y2 Uw2 2R2 Uw2 2R2 U2 Rw2 F R U R U' R' F' R U2 R' U2 R
20 HTM · 2 algs
Cb
(U) y R' U2 R U2 R' F R U R' U' R' F' Rw2 U2 2R2 Uw2 2R2 Uw2
20 HTM · 3 algs
Da
R' U L' U2 R U' 3Rw B Rw2 U2 Rw2 Uw2 2R2 Uw2 x'
15 HTM · 3 algs
Db
R U R' F' R U R' U' R' F R2 U' R' u2 2R2 u2 2R2 U2 2R2
22 HTM · 3 algs
Ka
(U) y 3Lw' U R' D2 R U' R' D2 x' Rw2 U2 2R2 Uw2 2R2 Uw2
16 HTM · 1 alg
Kb
r2 F2 U2 r2 R2 U2 x R' D' R U2 R' D R r2 x' U'
15 HTM · 3 algs
M
(U2) y2 Rw2 F2 U2 2R2 U R' U' R U R' D R D' R F2 U Rw2
18 HTM · 1 alg
Pa
R U R' F' R U R' U' R' F R2 U' R' U' 2R2 U2 2R2 u2 2R2 u2
23 HTM · 2 algs
Pb
2R2 U2 2R2 u2 2R2 u2 R U R' F' R U R' U' R' F R2 U' R'
22 HTM · 2 algs

Diag Corner Swap

Diag C
F R U' R' U' R U R' F' U' 2R2 U2 2R2 u2 2R2 u2 U' R U R' U' R' F R F'
28 HTM · 3 algs
Q
z Rw2 Uw2' R2' Uw2' F R U R' U' R U R' U' R U R' U' F' U2' R2 Uw2' Rw2' z'
22 HTM · 3 algs
Sa
F R U' R' U' R U R' F' R U R' U' R' F R F' U' 2R2 U2 2R2 u2 2R2 u2
27 HTM · 1 alg
Sb
F R U' R' U' R U R' F' R U R' U' R' F R F' 2R2 U2 2R2 u2 2R2 u2
26 HTM · 1 alg
X
Rw2 F2 U2 Rw2 F' U' R' U R U' R' U R U' R' U R F R2 U2 F2 Rw2
22 HTM · 3 algs
Source: SpeedCubeDB, https://speedcubedb.com/a/4x4/PLLParity, retrieved 2026-10-24: case names, groups, setups and images, and the top-voted algorithms per case with their votes. Every algorithm shown was checked by the logic engine; rejected ones are listed in docs/db-exclusions.md.