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Rubik's Cubeź - Permutation and orientation of the last layer corners


During this step, we will permute and orient the top corners. After that, we have to permute the top edges using permutation U, permutation H and permutation Z.

Permutation and orientation last layer corners (printable)

The notations used in those pages are explained here and here.

These are the 7 patterns for last layer corners orientations.
Doublesune [H]
Bruno [Pi]
Denzel [U]
Clix [T]
Evelyn [L]
Sune [S]
Antisune [As]


Doublesune [H]
The easiest case, only 4 patterns and easy to recognize. Position top layer with the 2 pairs of stickers on front and back face. Then, search for pair of adjacent stickers with the same color on the top face.
These cases can be recognized from any angle.
Id Case Algorithms Notes
1 F(RUR'U')łF' 2 pairs of adjacent stickers on front and back side
2 [U/U'](RUR'U)((RU')(R'U))(RU'ČR') 2 pairs of adjacent stickers on left and right side
3 [U'](FRU')(R'URUČR'U'RUR'U'F') 1 pair of adjacent stickers on left side
4 [U'](RUR'U)(RU)(r'F)(R'F'r) 1 pair of adjacent stickers on front side


Bruno [Pi]
Position top layer with the 2 adjacent yellow stickers on left face. Then, search for 2 stickers with the same color on the top face.
These cases can be recognized from any angle.
Id Case Algorithms Notes
1 (RU')(r'F)(R'F)(rU)(L'UL) 2 pairs of adjacent stickers on left and right side
2 F(RČU')(RU'RU'R'UČ)((R'URČ)F') 1 pair of adjacent stickers on left side
3 [U'](R'U'FU')(RČU)(RČUF')(RČUČR') 2 pairs of diagonally opposed stickers
4 [U](RUČ)(R'U'RU')(RČU)(LU')(RUL') 2 stickers diagonally opposed (back/left and front/right)
5 [U'](R'UČ)(RUR'U)(RČU')(L'U)(R'U'L) 2 stickers diagonally opposed (back/right and front/left)
6 (RUČ)((R'ČU')(RČU')(R'ČUČR)) 1 pair of adjacent stickers on right side


Denzel [U]
Position top layer with the 2 adjacent yellow stickers on back face.
Then look Ubl and Ubr, if they are the same color then look uFl and uFr, if they are the same color -> 1
else -> 2
else if they are opposite color then look uFl and uFr, if it they are the same color -> 6
else -> 3
else look uFr, if it is the opposite color of Ubl -> 5
else -> 4
Id Case Algorithms Notes
1 (RU'R'd x)(R'UR'U'RČ)z'(R'URU')
(RU')(RF')(R'URU)(F'U'FU'FRČ)		 2 pairs of adjacent stickers on front and back side
2 (R'UČR)(FU')(R'U'RUF') 1 pair of adjacent stickers on back side
3 (R'UČ)(RF'R'F)UČ(F'RF) 2 pairs of diagonally opposed stickers
4 (LUČL'UČ)(F'U)(LU'L'U'F) 2 stickers diagonally opposed (back/right and front/left)
5 (R'U'ČRU'Č)(FU')(R'URUF') 2 stickers diagonally opposed (back/left and front/right)
6 (R'U'RU')(R'UČ)(RČU)(R'U)(RUČR') 1 pair of adjacent stickers on front side


Clix [T]
Position top layer with 2 opposite yellow stickers on left and right face.
Then look Ubl and Ubr, if they are the same color then look uFl and uFr, if they are the same color -> 1
else -> 2
else if they are opposite color then look uFl and uFr, if it they are the same color -> 6
else -> 3
else look uFl, if it is the same color of Ubr -> 4
else -> 5
Id Case Algorithms Notes
1 (RUČ)(R'U'RU')(RČUČ)(RUR'UR) 2 pairs of adjacent stickers on front and back side
2 (FU')(L'U)(RČU')(LU)(RČF') 1 pair of adjacent stickers on back side
3 (R'URČD)(r'UČ)(rD')(R'ČU'R) 2 pairs of adjacent stickers on left and right side
4 [U'](rU)(R'U')(L'U)(RU') 2 stickers adjacent on left side
5 [U'](l'U')(LU)(RU')(L'U) 2 stickers adjacent on right side
6 (R'U)(RUČL')(R'URU')L
 1 pair of adjacent stickers on front side


Evelyn [L]
Position top layer with a yellow sticker on left and and a yellow sticker on back face.
Then look Ulf and Urb, if they are the same color then look uFr, if it's the opposite color as Ulf -> 1
else -> 2
else if they are opposite color then look uFr, if it's the same color as Ulf -> 3
else -> 5
else look uFr, if it is the same color of Ulf -> 4
else -> 6
Id Case Algorithms Notes
1 [U'](FU')(R'U'RUF'UČ)(R'UČR) 2 stickers diagonally opposed (Ufl and Ubr) and uFr of opposite color
2 [UČ](F'U)(LUL'U'F)UČ(LUČL') 2 stickers diagonally opposed (Ufl and Ubr)
3 [UČ](R'F)(RB')((R'F')(RB)) 2 stickers diagonally opposed (Ufl and uFr) and Ubr of opposite color
4 (RUR'U)(RU')(R'U)(RU')(R'U)(RUČR') 2 stickers diagonally opposed (Ufl and uFr)
5 x(R'U')(L'U)(RU')(LU)x' 2 stickers opposite color diagonally opposed (Ufl and Ubr)
6 (L'UČ)(RU')(R'UČ)L(RU'R') 2 stickers opposite color diagonally opposed (Ufl and uFr)


Antisune [As]
TODO
Id Case Algorithms Notes
1 (RUČ)(R'U'RU'R') Ubl and Ufr of opposite colors, Ufl and uFr of opposite colors
2 [U](RUČ)(R'UČ)(L'U)(RU'L)R' Ubl and uFr of opposite colors, Ufl and Ufr of opposite colors
3 [U](L'U)(RU')(LUR') 1 pair of diagonally opposed (Ubl and uFr) and Ufl of opposite color
4 [UČ](RUR'U)(RUČR')(LU')(R'U)(L'U'R) 1 pair of diagonally opposed (Ubl and uFr long diagonal) and 1 pair of adjacent with opposite color (Ufl and Ufr)
5 [U']L(R'U'RU)(L'UČ)(R'UČR) 1 pair of diagonally opposed (Ufl and uFr short diagonal) and Ubl of opposite color
6 [U](R'U'RU')(LU')(R'U)(L'UČR) 1 pair of diagonally opposed (Ufl and uFr short diagonal), Ubl and Ufr of opposite colors


Sune [S]
Most algorithms are the same as Antisune algo using L instead of L', L' instead of L, R instead of R', R' instead of R, U instead of U' and U' instead of U.
TODO
Id Case Algorithms Notes
1 [U'](RUR'U)(RUČR') Ufl and Ubr of opposite colors, uFl and Ufr of opposite colors
2 [U](R'UČ)(RUČ)(LU')(R'UL')R
3 [U'](RU')(L'U)(R'U'L)
4 (R'U'RU')(R'UČR)(L'U)(RU')(LUR')
5 [U']L'(RUR'U')(LUČ)(RUČR')
6 [U](RUR'U)(L'U)(RU')(LUČR')

Top layer views have been generated using php script ImageCubeLL and ImagePocket
Last modification: Thu March 22 2007 12:57:08 by Heymbeeck Joël [email: ]