SinaC's Rubik's Cube® Page

Rubik's Cube® - Permutation of the last layer


During this step, we will permute the top corners and the top edges using one algorithm of the 21 possible cases. I also give algorithms using only (R,U,F) for those who likes to solve with a restricted set of moves.

Permutation of the last layer (printable)
Step average: 12.63 moves (2.84 sec)

Edges only
Case Algorithms
Normal (R,U,F) One-handed

U [1/18]

2.01 sec

(R'UR'U')(R'U')(R'U)(RUR²)
(M²U')(M'U²)(MU'M²)
[U²](R²U)(RUR'U')(R'U')(R'U R')
(R'UR'U')(R'U')(R'U)(RUR²)
R'U(R'U')(R'U')R'URUR²

U (inverse) [1/18]

1.89 sec

(R²U')(R'U'RU)((RU)(RU'R))
(M²U)(M'U²)(MUM²)
[U²](RU'RU)(RU)(RU')(R'U'R²)
(R²U')(R'U'RU)((RU)(RU'R))
R²U'(R'U')RURU(RU'R)

Z [1/36]

2.54 sec

(M'²U)(M'²U)(M'U²)(M'²U²)(M'U²)
(x'RU')(R'U)z'(RU'(RzU'))(R'UR)(z'R²F)
[U](R'U'RU')(RU)(RU'R'U)(RUR'²U'R') [U](R'U')(RU'R)U(RU'R')URU(R'²U'R')

H [1/72]

1.85 sec

(M²UM²)U²(M²UM²)
(R'F)U²(F'RFR'U'RUF')(R'UF)(UF'R) R²U²R²U²R² U' R²U²R²U²R²
Corners only
Case Algorithms
Normal (R,U,F) One-handed

A [1/18]

2.58 sec

x(R²D'²)(RUR')D²(RU'R) [U'](R²F²)(R²URU')(RF²)(R'UR') x R²D² RUR' D² (RU'R)

A (inverse) [1/18]

2.55 sec

x(R'UR')D²(RU'R')(D²R²) (RU'R)F²(R'UR'U'R²)F²(R²U) x R'UR' D²(RU'R')D²R²

E [1/36]

3.62 sec

x'(RU')(R'D)(RUR')u'²(R'UR)D(R'U'R)
(R'F')U²(FU'F')(R'U²)(RUR'U)(RFU'R) x'(RU')(R'D) RUR' u'² R'U (RD)(R'U')R
3 edges and 3 corners
Case Algorithms
Normal (R,U,F) One-handed

G [1/18]

(R²u')((RU')(RUR'))(uR²)y(RU'R') (R²U'RU'RU)(R'UR'F')(R'URU')(FR'U') PLL A + PLL U

G (mirror) [1/18]

(R'²u)((R'UR'U'R)(u'R²))y'(R'UR) (R²U'RU'RU)(R'UR'F')(R'URU')(FR'U') PLL A + PLL U

G (mirror inverse) [1/18]

(RUR')y'(R²u')((RU')(R'UR'))(uR'²) (R²F'U')(R'U'RU)F²(RURU'R'F'R²) PLL A + PLL U

G (inverse) [1/18]

(R'U'R)y(R'²u)((R'U)(RU'R))(u'R²) [U'](FUF')(RU²R'F'U'F')(R'F²RF'UF) PLL A + PLL U
Corners diagonally permuted
Case Algorithms
Normal (R,U,F) One-handed

N [1/72]

4.18 sec

(RU')(LU²)(R'UR)(L'U'LU²)(R'UL'U') (RUF')(R'FU'F'R)F²(U'R'U'RUF'R') (RU')(LU²)(R'UR)(L'U'LU²)(R'UL'U')

N (mirror) [1/72]

3.57 sec

(R'URU')(R'F'U')(FRUR'F)(R'F'RU'R) (R'URU')(R'F'U')(FRUR'F)(R'F'RU'R) (L'U)(R'U'²)(LU'L')(RUR'U'²)(LU'RU)

Y [1/18]

2.72 sec

(FRU')(R'U'RUR'F')(RUR'U')(R'FRF') (FRU')(R'U'RUR'F')(RUR'U')(R'FRF') F(RU')(R'U')RU(R'F')RU(R'U')R'F(RF')

V [1/18]

3.19

(R'UR'U')y(R'F'R²U')(R'UR'FRF) y RU²R'U²(L'U)(RU')LU'(L'U)(R'U')r
Adjacent corners permuted
Case Algorithms
Normal (R,U,F) One-handed

J [1/18]

2.31 sec

((RUR'F')(RUR'U')(R'FR²U'R'U')) ((RUR'F')(RUR'U')(R'FR²U'R'U')) (L'U)(RU')LU'²R'U(RU²)R'

J (mirror) [1/18]

2.65 sec

((R'U'RB)(R'U'RU))(RB')(R'²URU)
(F'U'F)(R'U'RF')(R'URUF)[U'] LU'R'U(L'U²)(RU')(R'U'²R)

R [1/18]

2.64

(R²F)(RU)(RU')(R'F')(RU²)(R'U²)(RU) (R²F)(RU)(RU')(R'F')(RU²)(R'U²)(RU) R²FRU(RU')(R'F')(RU²)(R'U²)(RU)

R (mirror) [1/18]

3.21

(R²B')(R'U')(R'URB)(R'U²)(RU²)(R'U')
(R²B')(R'U')(R'URB)(R'U²)(RU²)(R'U') R²B'(R'U')R'URB(R'U²)(RU²)(R'U')

T [1/18]

2.25 sec

(RUR'U')(R'FR²U')(R'U'RUR'F') (RUR'U')(R'FR²U')(R'U'RUR'F') RU(R'U')R'F(R²U')(R'U')RU(R'F')

F [1/18]

3.58 sec

(R'U)(RU'R²)y'(R'U'RU)yx((RUR'U')(R²B')) (R'URU')(R²F'U')(FUR)(FR'F'R²U') R'U(RU'R²)y'(R'U')RUyxRU(R'U'R²)


Top layer views have been generated using php script ImageCubeLL
Last modification: Tue April 17 2007 09:09:27 by Heymbeeck Joël [email: ]