4x4 PLL Parity Algorithms

When you are solving a 4x4, PLL parity can significantly slow down a solve. Luckily, there are some tricks you can use to minimize the damage without learning too mamny new algorithms.

Some algorithms in this set are similar to PLL algorithms you already know, except there is a parity algorithm mixed in. By doing the parity algorithm strategically, you can turn a slow PLL into a fast PLL.

OPP Parity

• 2R2 U2 2R2 Uw2 2R2 Uw2

Adj Parity

• R' U R U' 2R2 U2' 2R2 Uw2' 2R2 Uw2' U' R' U' R

CwO

• M2 U M2 U M' U2 M2 U2 M' U 2L2 U2 2L2 Uw2 2L2 Uw2

CcwO

• Uw2 2L2 Uw2 2L2 U2 3Rw' Rw2 R' U2 M2 U2 M' U M2 U M2

W

• R' U R' U' R' U' R' U R U Rw2 U2 2R2 Uw2 2R2 Uw2

Pj

• R U R' U' R' F R2 U' R' U' R U R' F' U' 2L2 U2 2L2 Uw2 2L2 Uw2

Ba

• x' Rw2 U2 Rw2 Uw2 2R2 Uw2 F 3Rw U' R U2 L' U R'

Bb

• U x Rw2 U2 Rw2 Uw2 2R2 Uw2 B 3Rw' U R' U2 L U' R

Ca

• U2 Uw2 2R2 Uw2 2R2 U2 Rw2 F R U R U' R' F' R U2 R' U2 R

Cb

• U R' U2 R U2 R' F R U R' U' R' F' Rw2 U2 2R2 Uw2 2R2 Uw2

Da

• R' U L' U2 R U' 3Rw B Rw2 U2 Rw2 Uw2 2R2 Uw2 x'

Db

• R U R' F' R U R' U' R' F R2 U' R' u2 2R2 u2 2R2 U2 2R2

Ka

• U 3Lw' U R' D2 R U' R' D2 x' Rw2 U2 2R2 Uw2 2R2 Uw2

Kb

• U' 3Rw U' L D2 L' U L D2 x' Lw2 U2 2L2 Uw2 2L2 Uw2

M

• U2 Rw2 F2 U2 2R2 U R' U' R U R' D R D' R F2 U Rw2

Pa

• R U R' F' R U R' U' R' F R2 U' R' U' 2R2 U2 2R2 u2 2R2 u2

Pb

• 2R2 U2 2R2 u2 2R2 u2 R U R' F' R U R' U' R' F R2 U' R'

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'

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'

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

Sb

• F R U' R' U' R U R' F' R U R' U' R' F R F' 2R2 U2 2R2 u2 2R2 u2

X

• Rw2 F2 U2 Rw2 F' U' R' U R U' R' U R U' R' U R F R2 U2 F2 Rw2