SinaC's Rubik's Cube® Page

Rubik's Cube® - Orientation of the last layer


In this step, we orient the last layer cubies using one algorithm of the 57 possible cases.

Orientation of the last layer (printable)
Step average: 9.77 moves
No edges flipped correctly
T-Shapes
I-Shapes
"Fish" patterns
L-Shapes
Corners correct
W-Shapes
Squares
Lightning bolts
C-Shapes
P-Shapes
"Knight move" shapes
"Awkward" shapes
All edges flipped correctly
No edges flipped correctly
Case Algorithms Notes

1 [1/108]

(RU²)(R'²F)(RF')U²(R'FRF')

2 [1/54]

(FRUR'U'F')(fRUR'U'f')

3 [1/54]

(fRUR'U'f')U'(FRUR'U'F')

4 [1/54]

(fRUR'U'f')U(FRUR'U'F')

5 [1/54]

(R'U²)(FRUR'U'F')y'(R'U²RB)

6 [1/54]

F(RUR'd)(R'U²)(R'FRF')

7 [1/54]

(RUR'U)(R'FRF')x'U²(R'FRF')
T-Shapes
Case Algorithms Notes

47 [1/54]

F(RUR'U'F')

48 [1/54]

(RUR'U')(lURU')
I-Shapes
Case Algorithms Notes

8 [1/108]

(RU²)((R'²U')(RU'R'))U²(FRF')

9 [1/54]

(RUR'U)(Rd')(RU'R'F')

10 [1/54]

f(RUR'U')(RUR'U')f'

11 [1/108]

F(RUR'U'R)F'(rUR'U'r')
"Fish" patterns
Case Algorithms Notes

18 [1/54]

(R'U'R)y'x'(RU')(R'F)(RUR')x

19 [1/54]

(RUR')yx(R'URB')(R'U'R)x'

31 [1/54]

(RU²)(R'²F)(RF'RU²R')

32 [1/54]

(FRU')(R'U'RUR'F')
L-Shapes
Case Algorithms Notes

12 [1/54]

F(RUR'U'RUR'U')F'

13 [1/54]

B'(R'U'RUR'U'RU)B

14 [1/54]

(R'FR'F'R²)U²x'(U'RUR')

15 [1/54]

(RB'RBR'²)U'²x(UR'U'R)

16 [1/54]

(r'U')(RU')(R'U)(RU')(R'U'²r)

17 [1/54]

(rU)(R'U)(RU')(R'U)(RU²r')
Corners correct, edges flipped
Case Algorithms Notes

30 [1/216]

(MU)(RUR'U')(M²U)(RU'r')

53 [1/108]

(RUR'U')r(R'URU')r'

54 [1/54]

(M'U')(MU'²)(M'U'M) I use this one in OH: [U](rU)(R'U')r'(RU)(RU'R')
W-Shapes
Case Algorithms Notes

33 [1/54]

(RUR'U)(RU')(R'U')(R'FRF')

34 [1/54]

(R'U'RU')(R'U)(RU)(lU'R'U)
Squares
Case Algorithms Notes

20 [1/54]

(rU'²)(R'U'RU')r'

21 [1/54]

(r'U²)(RUR'U)r
Lightning bolts
Case Algorithms Notes

22 [1/54]

(rUR'URU²r')

23 [1/54]

(r'U')(RU'R'U²r)

24 [1/54]

(r'U'RU')x'(RU'R'U)x(R'U²r)
(r'U')(RU'lU')(R'Ul')(U2'r)
The second algo is from Sanders Hendricks

25 [1/54]

(rUR'U)(R'FRF')(RU²r')
(rU)(R'Ul'U)(RU'l)(U2'r')
The second algo is from Sanders Hendricks

43 [1/54]

(R'F)(RUR'U')(F'UR)

44 [1/54]

(RB')(R'U'RU)y(RU'F')
C-Shapes
Case Algorithms Notes

45 [1/54]

(RU)x'((RU')(R'U))x(U'R')

46 [1/54]

(RUR'U')y'(r'U'RUM')
P-Shapes
Case Algorithms Notes

35 [1/54]

(RU)(B'U')(R'URBR')

36 [1/54]

(R'U'FU)(RU'R'F'R)

37 [1/54]

f(RUR'U')f'

38 [1/54]

(R'U')y'(R'URB)
"Knight move" shapes
Case Algorithms Notes

26 [1/54]

(R'FRU)(l'U'l)y'(RU'R')

27 [1/54]

x'((RU'R'F')(RUR'))xy(R'UR)

28 [1/54]

(rUr')(RUR'U')(rU'r')

29 [1/54]

(r'U'r)(R'U'RU)(r'Ur)
"Awkward" shapes
Case Algorithms Notes

39 [1/54]

(MU)(RUR'U')(R'FRF')(l'L)
or (R'FRF')(RU2'R')d'(L'U'L)

40 [1/54]

x(LU')(L'U)x'(L'U²)(Ld)(RUR')
or (R2'UR'B') RU' (R2'URBR')

41 [1/54]

(R'U'RU'R'U²R)(FRUR'U'F) Thanks to Stefan Pochmann for this algo

42 [1/54]

(RUR'URU²R')(FRUR'U'F') Thanks to Stefan Pochmann for this algo
All edges flipped correctly (COLL may also be used to orient and permute last layer corners)
Case Algorithms Notes

49 [1/54]

(RU²)(R'²U'R²U'R'²)(U²R)

50 [1/108]

(RUR'U)(RU'R'U)(RU'²R')

51 [1/54]

(RUR'U)(RU²R')

52 [1/54]

(RU²)(R'U')(RU'R')

55 [1/54]

(R'U²R)(FU')(R'U'RUF')

56 [1/54]

x(R'U')(LU)(RU')(L'U)x'

57 [1/54]

x(R'U')(L'U)(RU')(LU)x'


Top layer views have been generated using php script ImageCubeLL
Last modification: Fri August 24 2007 08:10:39 by Heymbeeck Joël [email: ]