Corner Permutation of the Last Layer

Corner Permutation of the Last Layer Information Proposer(s): Jessica Fridrichwhile inventing pll? Proposed: 1981? Alt Names: CPLL Variants: A-perm CPLL, BLL-4LLL Subgroup: No. Algs: 4; 3 excluding the H EPLL Avg Moves: Purpose(s): Speedsolving

Corner Permutation of the Last Layer, abbrevaited CPLL, permutes the corners of the last layer without affecting anything else. It has four cases, one of wich is the H perm + U2 and the other are Aa, Ab and E perm

See also

• PLL, EPLL
• L3C, L4C
• 3OP

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CPLL Algorithms

Note that all of these algorithms are written in the Western notation, where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z. (how to add algorithms) Click on an algorithm (not the camera icon) to watch an animation of it.

H Permutation

Name: H-PLL, X-PLL Used in: EPLL, CPLL, PLL, ELL, ZBLL, ZZLL Optimal moves: 10 HTM, 7 STM X-PLL is H-PLL + U2.

PLL

M2' U M2' U2 M2' U M2'

[1]

PLL

M2' U' M2' U2' M2' U' M2'

[2][3]

PLL

R2' S2 R2 U' R2' S2 R2

PLL

R2' U2 R' U2 R2' U2' R2' U2 R' U2 R2'

[4]

PLL

M2' U2 M2' U' M2' U2 M2'

PLL

M2' U2 M2' U M2' U2 M2'

PLL

R2 U2 R U2 R2 U2 R2 U2 R U2 R2

PLL

L2 U2 L' U2 L2 U2 L2 U2 L' U2 L2

PLL

L R U2 L' R' F' B' U2 F B

PLL

L R U2 L' R' (y) L' R' U2 L R

PLL

S R U2 R2 U2 R2 U2 R S'

PLL

F2 M2' F2 U' F2 M2' F2

PLL

M2' u M2' u2 M2' u M2'

PLL

M2' u' M2' u2' M2' u' M2'

PLL

(M2' U)5 M2'

PLL

x2 (R U R' U' D)30 x2

Aa Permutation

Name: A-PLL a Used in: CPLL, PLL, L3C, L4C, ZBLL, BLD Optimal moves: 9 HTM

Alg.01(v1)

(x) R' U R' D2 R U' R' D2 R2 (x')

[5][6]

Alg.01(v2)

l' U R' D2 R U' R' D2 R2 (x')

[7]

Alg.01(v3)

(x') R' D R' U2 R D' R' U2 R2 (x)

Alg.02(v2)

(y x') R2 D2 R' U' R D2 R' U R'

Alg.02(v3)

(y' x) L2 D2 L' U' L D2 L' U L' (x')

Alg.04(v1)

R' U2 R2 U' L' U R' U' L U R' U2 R

Alg.05(v1)

R U' L' U' L2 U' R2 U L2 U' R2 U2 L U R'

Alg.06(v1)

(y') R U R' F' r U R' U' r' F R2 U' R'

Alg.07(v1)

(y') r U r' U' r' F r2 U' r' U' r U r' F'

[8]

Alg.08(v1)

(y) R L D2 R' U' R D2 R' U L'

Alg.09(v1)

(y') R U R' U' R' F R U R' U' R' F' R U R2 U' R'

Alg.10(v1)

(y') R U R' U R2 D' R U' R' D R U R U' R U' R'

Alg.11

x L2 D2 L' U' L D2 L' U L' x'

Alg.12

R' F R' B2 R F' R' B2 R2

Alg.13

(R' D' R) U2 (R' D R) U' (R' D' R) U' (R' D R)

Ab Permutation

Name: Ab-PLL Used in: CPLL, PLL, L3C, L4C, ZBLL, BLD Optimal moves: 9 HTM

PLL

(x) R D' R U2 R' D R U2 R2 (x')

PLL

(y')(L' U' L F) (l' U' L U l) F' L2 U L

PLL

(x') R U' R D2 R' U R D2 R2 (x)

PLL

(y' x) R2 D2 R U R' D2 R U' R (x')

[9]

PLL

(y2 x) L U' L D2 L' U L D2 L2 (x')

PLL

R B' R F2 R' B R F2 R2

PLL

R U2 R' U2 (R' F R F')(r U R' U R U2 r')

PLL

(y z) U2 L' U2 L F2 U2 R U2 R' F2 (z')

PLL

(z') F2 L' U2 L U2 F2 R U2 R' U2 (z)

PLL

(y') R' U2 R U' L' U R U' L U R2 U2 R

PLL

(y') R2 B2 R F R' B2 R F' R

PLL

(y' x') R2 U2 R D R' U2 R D' R

PLL

(y2) L F' L B2 L' F L B2 L2

PLL

(y) R U R' U R' D' R U R' D R U2 R U' R' (y')

PLL

(R' D' R) U (R' D R) U2 (R' D' R) U (R' D R)

PLL

(y') R U2 R U2 R D R' U2 R D' R2 U2 R'

PLL

(y x') L2 D2 L U L' D2 L U' L

E Permutation

Name: E-PLL Used in: CPLL, PLL, L4C, ZBLL, ZZLL Optimal moves: 14 HTM

PLL

(y x') (R U' R' D) (R U R' D') (R U R' D) (R U' R' D') (x)

[10][11]

PLL

R2 U F' (R' U R U')3 F U' R2

PLL

(y x') R' D R U' R' U2 R' U R D' R' U' R U2 R U x

PLL

R2 U R' U' (y) (R U R' U')2 R U R' (y') R U' R2'

[12]

PLL

R2 U R' d' (R U R' U')2 R U R' F U' F2

PLL

(x) U R' U' L U R U' r2 U' R U L U' R' U (x)

PLL

(y x') R U' R' D R U R' u2 R' U R D R' U' R (x')

PLL

(y x') R U' R' D R U R' D2 L' U L D L' U' L (x)

PLL

(x) U R' U' L U R U' L' U R U' L U R' U' L' (x')

PLL

(x') U' R U L' U' R' U r2 U R' U' r' F R F'

PLL

(y) R U R' U R' U' R F' R U R' U' R' F R2 U' R2 U R

PLL

L R' U' R U L' U' R' U R r U R' U' r' F R F'

PLL

l' U' L' U R U' l U R' U' L U R U' l' U (x')

PLL

(y) r' R' U' L D' L' U L R U' R' D R U (x)

PLL

(y) l L U R' D R U' R' r' F r D' L' U'

PLL

r2 U r2 D (x') (R U' R' U)3 (x) D' r2 U' r2

PLL

L' U' L' U R U' L U L (R' l') U' L U R U' L' U (x' y)

PLL

R2 U R' (y) (R U' R' U)3 (y') R U' R2

PLL

(y' z') R' F R2 U R' B' R U' R2 F' R (z) R B R'

PLL

R' U L' D2 L U' R L' U R' D2 R U' L

PLL

R B L B' R' (y) R L (y) L B' R' B L' (y') R' L'

PLL

(y) l U' R' D R U R' D' R U R' D R U' R' D' x

PLL

l' U' r' F R F' R U R' U' L U R U' R' F

PLL

F' R U R' U' L' U R U' l' U R' U' r B R (x2)

PLL

(z) U2 R2 F (R U R' U')3 F' R2 U2 (z')

PLL

R' D' R U' R' D R U R' D' R U2 R' D R U' R' D' R U R' D R

PLL

(y x') R' D R U' R' D' R U2 L D' L' U' L D L' (x)

PLL

F R' F' r U R U' r' F R F' r U R' U' r'

PLL

(x) R U' R' D R U R' D' R U R' D R U' R' D'

PLL

D R' D2 F' D L D' F D2 R D' F' L' F

PLL

l' U' L' U R U' L U R' U' L U R U' L' U (x')

PLL

(y) R U R D R' U R D' R' U' R D R' U' R D' R2