3x3

3x3 · Permutation of the Last Layer

PLL

Permute the already-oriented last-layer pieces into their final positions to finish the solve.

  • 21 cases
  • 5 subsets

Subsets

All 21
Edges Only 4
Corners Only 3
Adjacent Swap 6
Diagonal Swap 4
G Perms 4

Cases

Edges Only

4 cases

Ua

Edges Only

(M2 U M) U2 (M' U M2)

y2 (R U R' U R') U' R2 U' (R' U R' U R) [U2]

Setup M2' U' M' U2' M U' M2' y2

Ub

Edges Only

(M2 U' M) U2 (M' U' M2)

y2 (R' U) (R' U') (R' U') (R' U) R U R2

Setup M2' U M' U2' M U M2' y2

H

Edges Only

(M2 U' M2) U2 (M2 U' M2)

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

Z

Edges Only

M' U' (M2 U') (M2 U') M' U2 M2 [U']

Make sure to hold a checkerboard (two sides with only two colors) on the right side for this alg.

CubeHead

(M2 U) (M2 U) (M' U2) M2 (U2 M')

Setup M U2' M2' U2' M U' M2' U' M2'

Corners Only

3 cases

Aa

Corners Only

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

Setup x R2' D2' R U R' D2' R U' R x'

Ab

Corners Only

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

Setup x R' U R' D2' R U' R' D2' R2' x'

E

Corners Only

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

Setup x' D R U R' D' R U' R' D R U' R' D' R U R' x

Adjacent Swap

6 cases

T

Adjacent Swap

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

Setup F R U' R' U R U R2' F' R U R U' R'

F

Adjacent Swap

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

Setup R' U' R U' R' U R U R2' F' R U R U' R' F U R

Ja

Adjacent Swap

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

Setup L' R' U2' R U R' U2' L U' R y'

Jb

Adjacent Swap

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

Setup R U R2' F' R U R U' R' F R U' R'

Ra

Adjacent Swap

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

Setup R U2' R D R' U R D' R' U' R' U R U R' y'

Rb

Adjacent Swap

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

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

Diagonal Swap

4 cases

V

Diagonal Swap

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

SDB

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

Setup D2' R' U R D' R2' U' R' U R' U R' D' R U2' R'

Y

Diagonal Swap

F (R U' R' U') (R U R' F') (R U R' U') (R' F R F')

The alg consists of two OLL's : F (R U' R' U') (R U R' F') and (R U R' U') (R' F R F')

Setup F R' F' R U R U' R' F R U' R' U R U R' F'

Na

Diagonal Swap

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

( R U R' U ) ( Jb- perm ) ( U2 R U' R' )

Setup R U R' U2' R U R2' F' R U R U' R' F R U' R' U' R U' R'

Nb

Diagonal Swap

(R' U R U') (R' F' U' F) (R U R' F) R' F' (R U' R)

Setup F r' F' r U r U' r2' D' F r U r' F' D r

G Perms

4 cases

Ga

G Perms

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

Setup R' U' R D' U R2' U R' U R U' R U' R2' D

Gb

G Perms

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

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

Setup R2' U R' U R' U' R U' R2' D U' R' U R D'

Gc

G Perms

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

Setup D' R U R' U' D R2' U' R U' R' U R' U R2'

Gd

G Perms

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

Setup R2' U' R U' R U R' U R2' D' U R U' R' D