- Here is most of Richard's advanced method in one email, a total of 95

algorithms! These appeared in instalments over at speedsolving.

I have changed some values to make it more useful for me to see -- at a

glance -- probabilities. My thinking is that this is too much for one

person to memorize (though I would love it if someone proved me wrong) but

that the list can be used to assemble a shorter list (that is what I am

doing now). This could drastically cut down execution times for

blindfolding. All credit goes to Dr C., of course.

S.

Total average number of moves 94 21369829/28740096

Stage 1 / 2: Edge Orientation

75 Algorithms; Average number of moves: 15 257/512

Two Edges to Orient

Four algorithms; probability 66/2048 (0.03222)

1. Isomorphic to (1,2): L F' U L' B' F U R' F U' R B F' U' (14)

(probability 12/2048)

2. Isomorphic to (1,3): F U2 F2 D' U' L' U L D F2 U' F' U' (13)

(probability 24/2048)

3. Isomorphic to (1,6): L2 R2 D B' L D' B L2 R2 F' U L' F U' (14)

(probability 6/2048)

4. Isomorphic to (1,11): R' U' R U2 R2 D' U' F' U F D R2 U' (13)

(probability 24/2048)

Four Edges to Orient

Eighteen algorithms; probability 495/2048 (0.24169)

5. Isomorphic to (1,2,3,4): U' L2 F2 L2 D2 L' R B' R2 D2 R2 F2 L R' (14)

(probability 6/2048)

6. Isomorphic to (1,2,3,5): R2 D L' R F L' R U L' R B L' R' (13)

(probability 48/2048)

7. Isomorphic to (1,2,3,7): U2 F2 R2 F2 U' F2 R2 F2 U2 B' F R' B F' (14)

(probability 24/2048)

8. Isomorphic to (1,2,3,8): F2 L2 F2 U' F2 L2 F2 U2 B F' L' B' F U2 (14)

(probability 24/2048)

9. Isomorphic to (1,2,3,9): U F' U2 F R U B U' L U2 L' B' U' R' (14)

(probability 48/2048)

10. Isomorphic to (1,2,3,10): U F U' R U2 R' F' U' L' U B' U2 B L (14)

(probability 48/2048)

11. Isomorphic to (1,2,5,6): U B2 F2 U B2 F2 R2 B F' U2 R' U2 B' F R2 U'

(16) (probability 3/2048)

12. Isomorphic to (1,2,5,7): D L' R F L' R U L' R B L' R (12) (probability

48/2048)

13. Isomorphic to (1,2,7,8): B2 F2 D B2 F2 R2 B' F D2 R' D2 B F' R2 (14)

(probability 6/2048)

14. Isomorphic to (1,2,7,9): D' R2 B' L2 U' L' R' U' L2 F' R2 D' L R (14)

(probability 48/2048)

15. Isomorphic to (1,2,8,9): D R2 B' L2 U L' R' U' L2 F R2 D' L R (14)

(probability 48/2048)

16. Isomorphic to (1,2,9,11): F2 L2 D2 B' D2 L2 F2 U R2 U2 R' U2 R2 U' (14)

(probability 12/2048)

17. Isomorphic to (1,2,9,12): R2 F2 R2 D2 R2 B' R2 D2 R2 F2 L R' U' L' R'

(15) (probability 24/2048)

18. Isomorphic to (1,3,6,8): F2 R2 D' R2 F2 R2 U2 L R' B' L' R U2 R2 (14)

(probability 12/2048)

19. Isomorphic to (1,3,6,9): U' R2 U B R' B U R U2 R' B' U B' R' (14)

(probability 24/2048)

20. Isomorphic to (1,3,6,10): L B2 L2 U R2 B2 L' R U2 R2 B' L2 U2 R' (14)

(probability 24/2048)

21. Isomorphic to (1,3,6,11): U' B U' R' B2 R B U R' U B R2 B' R' (14)

(probability 24/2048)

22. Isomorphic to (1,3,6,12): L' B2 L2 U L2 R2 B2 L R' U2 B' R2 U2 R (14)

(probability 24/2048)

Six Edges to Orient

Thirty algorithms; probability 924/2048 (0.45117)

23. Isomorphic to (1,2,3,4,5,6): L F' L' U L2 R2 D2 L' R F L D' L2 R2 U2 R'

(16) (probability 12/2048)

24. Isomorphic to (1,2,3,4,5,7): U L2 R2 D' B2 R2 D L2 F2 U L R' F' L2 B L

R (17) (probability 24/2048)

25. Isomorphic to (1,2,3,4,5,9): L2 F2 U B2 L' R2 D' F' U2 F2 L' B2 D2 U R

F (16) (probability 48/2048)

26. Isomorphic to (1,2,3,4,5,11): U' L2 B L B L2 R' B2 F' R2 D R D L' R2 D2

(16) (probability 48/2048)

27. Isomorphic to (1,2,3,4,9,10): U F2 U2 B2 F' D R D B' F2 D2 F2 D L' D'

B' (16) (probability 24/2048)

28. Isomorphic to (1,2,3,4,9,12): R2 D2 U F2 L' B2 U2 B' D' L' R2 F2 U B2

L2 B R' (17) (probability 12/2048)

29. Isomorphic to (1,2,3,5,6,7): F2 L2 D U' R2 U' L R F' U2 R2 U2 B F2 L R

U' (17) (probability 12/2048)

30. Isomorphic to (1,2,3,5,6,8): L B2 L2 R2 F' L D L' R F2 L2 R2 B L' D' R'

(16) (probability 12/2048)

31. Isomorphic to (1,2,3,5,6,9): L2 R2 D' L B L' R D2 L2 R2 U L' B' L R' U2

(16) (probability 24/2048)

32. Isomorphic to (1,2,3,5,6,10): U2 L2 R2 D R' B' L' R D2 L2 R2 U' R B L

R' (16) (probability 24/2048)

33. Isomorphic to (1,2,3,5,7,8): D' B2 L2 U' R2 F2 U L2 R2 D' L' R' F' L2 B

L' R (17) (probability 24/2048)

34. Isomorphic to (1,2,3,5,7,9): B2 L2 D R2 F2 R B D U2 L2 F' R2 D2 R' U'

F' (16) (probability 48/2048)

35. Isomorphic to (1,2,3,5,7,10): B L2 F2 L' D L B R' F2 R2 B2 F L' U' L'

F2 (16) (probability 48/2048)

36. Isomorphic to (1,2,3,5,7,11): R2 B2 L' B R B2 L2 F L' U' L F2 L' B2 R2

B U' (17) (probability 48/2048)

37. Isomorphic to (1,2,3,5,7,12): L2 F' L2 U2 B2 R' B' L F L2 D2 B R D B2 L

U' (17) (probability 48/2048)

38. Isomorphic to (1,2,3,5,8,9): F2 U B2 L' R2 D' F' U2 F2 L' B2 D2 U R F

L2 (16) (probability 48/2048)

39. Isomorphic to (1,2,3,5,8,10): D' L2 D B L B' F2 U' B L2 B' D' L' D U2 F

(16) (probability 48/2048)

40. Isomorphic to (1,2,3,5,8,11): L2 D2 U L R2 D' R' D' R2 B2 F L2 R B' L'

B' (16) (probability 48/2048)

41. Isomorphic to (1,2,3,5,8,12): L2 D2 U' R2 F R F L' R2 B' F2 L2 D L D R'

(16) (probability 48/2048)

42. Isomorphic to (1,2,3,5,11,12): U' B2 F2 R D' B L D' F' D2 U2 L B' D R

B' (16) (probability 48/2048)

43. Isomorphic to (1,2,3,7,8,10): U B2 F2 D2 B' F L B D' B2 F2 U2 B F' L'

B' (16) (probability 48/2048)

44. Isomorphic to (1,2,3,7,9,10): D2 L' F' R2 F2 U' B2 L2 R D F U2 F2 R B2

U' (16) (probability 16/2048)

45. Isomorphic to (1,2,3,7,9,12): B' F2 R' B U2 B' L' U' L R2 F L' U2 L B U

(16) (probability 48/2048)

46. Isomorphic to (1,2,3,7,10,12): R2 D U2 R' B' R' D2 U L2 U2 L' D R F R'

U2 (16) (probability 27/2048)

47. Isomorphic to (1,2,3,8,9,11): R2 D2 R2 D F' D' L' U R2 U2 L2 R' D B D

L' (16) (probability 12/2048)

48. Isomorphic to (1,2,3,8,9,12): L2 R' F R D F2 D' L D U2 F' D' R' F2 R U'

(16) (probability 45/2048)

49. Isomorphic to (1,2,3,8,10,12): L2 D2 U R' F' R' D U2 R2 U2 R' B R D L'

U2 (16) (probability 12/2048)

50. Isomorphic to (1,2,7,8,9,12): L B' D2 U2 R U B' L' U F' L2 R2 D L F' U'

(16) (probability 12/2048)

51. Isomorphic to (1,3,6,8,9,12): F2 D B2 L2 D2 F2 U B' R' F R2 U F2 L2 D L

F R' (18) (probability 4/2048)

52. Isomorphic to (1,3,6,8,10,11): R2 B2 F2 D F R' U' F L' D2 U2 B U L' F'

U R (17) (probability 4/2048)

Eight Edges to Orient

Eighteen algorithms; probability 495/2048 (0.24169)

53. Isomorphic to not (1,2,3,4): L2 R2 D' B' F' L' R' D' U' B' F' L' R' U'

L2 R2 (16) (probability 6/2048)

54. Isomorphic to not (1,2,3,5): U' B2 D' L' R' B' F' D' U' L' R' B' F' U'

B2 U (16) (probability 48/2048)

55. Isomorphic to not (1,2,3,7): U2 L2 D' B' F' L' R' D' U' B' F' L' R' U'

L2 U2 (16) (probability 24/2048)

56. Isomorphic to not (1,2,3,8): R2 D' B' F' L' R' D' U' B' F' L' R' U' R2

(14) (probability 24/2048)

57. Isomorphic to not (1,2,3,9): U' B2 F2 L2 F' U2 L' D U L' U2 B' L2 B2 F2

U' L' R' (18) (probability 48/2048)

58. Isomorphic to not (1,2,3,10): L R2 D' B' F' L' R' D' U' B' F' L' R' U'

L' R2 (16) (probability 48/2048)

59. Isomorphic to not (1,2,5,6): B' F' L' R' D' U' B' F' L' R' D' U' (12)

(probability 3/2048)

60. Isomorphic to not (1,2,5,7): F D B' L' R' D' U' B' F' L' R' D' U' F' D'

F' (16) (probability 48/2048)

61. Isomorphic to not (1,2,7,8): D' B' F' L' R' D' U' B' F' L' R' U' (12)

(probability 6/2048)

62. Isomorphic to not (1,2,7,9): F' L D' B' F' L' R' D' U' B' F' L' R' U' L'

F (16) (probability 48/2048)

63. Isomorphic to not (1,2,8,9): R' D' B' F' L' R' D' U' B' F' L' R' U' R

(14) (probability 48/2048)

64. Isomorphic to not (1,2,9,11): B U2 L' R' D B2 L2 D2 B F R2 F2 L' D U F'

(16) (probability 12/2048)

65. Isomorphic to not (1,2,9,12): B' F D' U' L B2 L2 B' F' U2 R2 F2 D' L R

U2 (16) (probability 24/2048)

66. Isomorphic to not (1,3,6,8): D F2 L R B D2 L2 F2 D' U' R2 U2 R' B' F' U'

(16) (probability 12/2048)

67. Isomorphic to not (1,3,6,9): U2 L B' L' R' D' U' B' F' L' R' D' U' F' L'

U2 (16) (probability 24/2048)

68. Isomorphic to not (1,3,6,10): U' R' B' L' R' D' U' B' F' L' R' D' U' F'

R U (16) (probability 24/2048)

69. Isomorphic to not (1,3,6,11): U R' F2 D' L' R' B' F' D' U' L' R' B' F'

U' F2 R U' (18) (probability 24/2048)

70. Isomorphic to not (1,3,6,12): R D2 B' D' U' L' R' B' F' D' U' L' R' F'

D2 R' (16) (probability 24/2048)

Ten Edges to Orient

Four algorithms; probability 66/2048 (0.03222)

71. Isomorphic to not (1,2): D U' B2 L2 B2 L2 D2 R' B2 U2 B' F' D' B2 U' L

R' F' (18) (probability 12/2048)

72. Isomorphic to not (1,3): D' U' R2 D' U2 B2 L2 B2 U' L R F D' U R B F R2

(18) (probability 24/2048)

73. Isomorphic to not (1,6): D2 B2 L2 B2 D' L2 D U L2 B' F' L' D U' B' L' R'

U' (18) (probability 6/2048)

74. Isomorphic to not (1,11): L2 B2 D U' B2 R2 D2 R B F' D' L' R' B L2 U2 R2

F' (18) (probability 24/2048)

Twelve Edges to Orient

One algorithm; probability 1/2048 (0.00048)

75. Isomorphic to superflip: U' R2 U' F2 D' R2 U' B F U2 L' B2 R2 F2 D' U F'

U2 L' R' (20) (probability 1/2048)

Stage 4: Finishing the Middle Layer

Average number of moves 6.5

(Need to reflect some algorithms (these are not noted) and to invert some

(noted))

76. D2 B2 D2 U2 F2 U2 (Probability 1/12)

77. D B2 F2 D' U L2 R2 U' (Probability 1/24)

78. D R2 D' U F2 U' (Probability 1/3 - need to know inverse)

79. F2 U2 F2 U2 F2 U2 (Probability 1/6 - disturbs U layer too)

80. F2 D' U' L2 D U F2 U2 (Probability 1/12 - disturbs U layer too)

81. D2 B2 D' U' R2 D' U' F2 (Probability 1/12 - disturbs U layer too, needs

inverse)

82. B2 D' U' R2 D2 L2 D' U' (Probability 1/6 - disturbs U layer too, needs

inverse)

Stage 5 / 6: Edges to Correct Layer

Eleven algorithms; average number of moves 7 17/35

One Edge to Move

Two algorithms; probability 16/70 (0.22857)

83. Isomorphic to (1 5 2) (the inverse gives (1 2 5)): L R' F2 L' R U2 (6*)

(probability 8/70)

84. Isomorphic to (1 5 3): B2 L2 D F2 L2 B2 U R2 (8) (probability 8/70)

Two Edges to Move

Six algorithms; probability 36/70 (0.51428)

85. Isomorphic to (1 5)(2 6): L2 B2 L2 R2 F2 R2 (6) (probability 2/70)

86. Isomorphic to (1 5)(2 7): L2 B2 R2 D' B2 L2 F2 U' (8) (probability

16/70)

87. Isomorphic to (1 5)(3 7): F2 R2 F2 R2 F2 R2 (6) (probability 4/70;

effectively the same as one of the Stage 4 algorithms, 2 both adjacent

straight)

88. Isomorphic to (1 5)(3 8): R2 B2 L2 D2 B2 R2 F2 U2 (8) (probability

8/70)

89. Isomorphic to (1 6)(3 8): U2 B2 R2 F2 L2 F2 R2 U2 (8) (probability

4/70)

90. Isomorphic to (1 7)(2 8): U' R2 F2 B2 L2 F2 B2 U (8) (probability 2/70)

Three Edges to Move

Three algorithms; probability 16/70 (0.22857)

91. Isomorphic to (1 5 2 3)(3 7): L' B2 L2 F2 L' R' U2 R' (8) (probability

4/70)

92. Isomorphic to (1 5 2 6)(4 8): R2 D B2 L2 R2 F2 U' L2 (8) (probability

4/70)

93. Isomorphic to (1 6 2 7)(3 8): L2 U F2 R2 F2 U L2 B2 (8) (probability

8/70)

Four Edges to Move

One algorithm; probability 1/70 (0.01428)

94. Isomorphic to (1 5)(2 6)(3 7)(4 8): L2 F2 R2 B2 F2 R2 F2 R2 (8)

(probability 1/70)

Stage 7

One algorithm; probability 1/2 (0.5); average number of moves 3

Same as (or at least is isomorphic to) an algorithm from Stage 4 (from a

different angle)

95. L2 R2 U2 L2 R2 D2

_________________________________________________________________

On the move? Get Hotmail on your mobile phone http://www.msn.co.uk/msnmobile - Thanks very much, that's very useful indeed!I'll probably just practice quite a bit. once I get the memorization time down, then I'll work on getting the solution method down.Daniel----- Original Message -----
**From:**simonl cube**Sent:**Tuesday, September 02, 2003 7:41 AM**Subject:**[blindfoldsolving-rubiks-cube] Richard's advanced method`Here is most of Richard's advanced method in one email, a total of 95`

algorithms! These appeared in instalments over at speedsolving.

I have changed some values to make it more useful for me to see -- at a

glance -- probabilities. My thinking is that this is too much for one

person to memorize (though I would love it if someone proved me wrong) but

that the list can be used to assemble a shorter list (that is what I am

doing now). This could drastically cut down execution times for

blindfolding. All credit goes to Dr C., of course.

S.

Total average number of moves 94 21369829/28740096

Stage 1 / 2: Edge Orientation

75 Algorithms; Average number of moves: 15 257/512

Two Edges to Orient

Four algorithms; probability 66/2048 (0.03222)

1. Isomorphic to (1,2): L F' U L' B' F U R' F U' R B F' U' (14)

(probability 12/2048)

2. Isomorphic to (1,3): F U2 F2 D' U' L' U L D F2 U' F' U' (13)

(probability 24/2048)

3. Isomorphic to (1,6): L2 R2 D B' L D' B L2 R2 F' U L' F U' (14)

(probability 6/2048)

4. Isomorphic to (1,11): R' U' R U2 R2 D' U' F' U F D R2 U' (13)

(probability 24/2048)

Four Edges to Orient

Eighteen algorithms; probability 495/2048 (0.24169)

5. Isomorphic to (1,2,3,4): U' L2 F2 L2 D2 L' R B' R2 D2 R2 F2 L R' (14)

(probability 6/2048)

6. Isomorphic to (1,2,3,5): R2 D L' R F L' R U L' R B L' R' (13)

(probability 48/2048)

7. Isomorphic to (1,2,3,7): U2 F2 R2 F2 U' F2 R2 F2 U2 B' F R' B F' (14)

(probability 24/2048)

8. Isomorphic to (1,2,3,8): F2 L2 F2 U' F2 L2 F2 U2 B F' L' B' F U2 (14)

(probability 24/2048)

9. Isomorphic to (1,2,3,9): U F' U2 F R U B U' L U2 L' B' U' R' (14)

(probability 48/2048)

10. Isomorphic to (1,2,3,10): U F U' R U2 R' F' U' L' U B' U2 B L (14)

(probability 48/2048)

11. Isomorphic to (1,2,5,6): U B2 F2 U B2 F2 R2 B F' U2 R' U2 B' F R2 U'

(16) (probability 3/2048)

12. Isomorphic to (1,2,5,7): D L' R F L' R U L' R B L' R (12) (probability

48/2048)

13. Isomorphic to (1,2,7,8): B2 F2 D B2 F2 R2 B' F D2 R' D2 B F' R2 (14)

(probability 6/2048)

14. Isomorphic to (1,2,7,9): D' R2 B' L2 U' L' R' U' L2 F' R2 D' L R (14)

(probability 48/2048)

15. Isomorphic to (1,2,8,9): D R2 B' L2 U L' R' U' L2 F R2 D' L R (14)

(probability 48/2048)

16. Isomorphic to (1,2,9,11): F2 L2 D2 B' D2 L2 F2 U R2 U2 R' U2 R2 U' (14)

(probability 12/2048)

17. Isomorphic to (1,2,9,12): R2 F2 R2 D2 R2 B' R2 D2 R2 F2 L R' U' L' R'

(15) (probability 24/2048)

18. Isomorphic to (1,3,6,8): F2 R2 D' R2 F2 R2 U2 L R' B' L' R U2 R2 (14)

(probability 12/2048)

19. Isomorphic to (1,3,6,9): U' R2 U B R' B U R U2 R' B' U B' R' (14)

(probability 24/2048)

20. Isomorphic to (1,3,6,10): L B2 L2 U R2 B2 L' R U2 R2 B' L2 U2 R' (14)

(probability 24/2048)

21. Isomorphic to (1,3,6,11): U' B U' R' B2 R B U R' U B R2 B' R' (14)

(probability 24/2048)

22. Isomorphic to (1,3,6,12): L' B2 L2 U L2 R2 B2 L R' U2 B' R2 U2 R (14)

(probability 24/2048)

Six Edges to Orient

Thirty algorithms; probability 924/2048 (0.45117)

23. Isomorphic to (1,2,3,4,5,6): L F' L' U L2 R2 D2 L' R F L D' L2 R2 U2 R'

(16) (probability 12/2048)

24. Isomorphic to (1,2,3,4,5,7): U L2 R2 D' B2 R2 D L2 F2 U L R' F' L2 B L

R (17) (probability 24/2048)

25. Isomorphic to (1,2,3,4,5,9): L2 F2 U B2 L' R2 D' F' U2 F2 L' B2 D2 U R

F (16) (probability 48/2048)

26. Isomorphic to (1,2,3,4,5,11): U' L2 B L B L2 R' B2 F' R2 D R D L' R2 D2

(16) (probability 48/2048)

27. Isomorphic to (1,2,3,4,9,10): U F2 U2 B2 F' D R D B' F2 D2 F2 D L' D'

B' (16) (probability 24/2048)

28. Isomorphic to (1,2,3,4,9,12): R2 D2 U F2 L' B2 U2 B' D' L' R2 F2 U B2

L2 B R' (17) (probability 12/2048)

29. Isomorphic to (1,2,3,5,6,7): F2 L2 D U' R2 U' L R F' U2 R2 U2 B F2 L R

U' (17) (probability 12/2048)

30. Isomorphic to (1,2,3,5,6,8): L B2 L2 R2 F' L D L' R F2 L2 R2 B L' D' R'

(16) (probability 12/2048)

31. Isomorphic to (1,2,3,5,6,9): L2 R2 D' L B L' R D2 L2 R2 U L' B' L R' U2

(16) (probability 24/2048)

32. Isomorphic to (1,2,3,5,6,10): U2 L2 R2 D R' B' L' R D2 L2 R2 U' R B L

R' (16) (probability 24/2048)

33. Isomorphic to (1,2,3,5,7,8): D' B2 L2 U' R2 F2 U L2 R2 D' L' R' F' L2 B

L' R (17) (probability 24/2048)

34. Isomorphic to (1,2,3,5,7,9): B2 L2 D R2 F2 R B D U2 L2 F' R2 D2 R' U'

F' (16) (probability 48/2048)

35. Isomorphic to (1,2,3,5,7,10): B L2 F2 L' D L B R' F2 R2 B2 F L' U' L'

F2 (16) (probability 48/2048)

36. Isomorphic to (1,2,3,5,7,11): R2 B2 L' B R B2 L2 F L' U' L F2 L' B2 R2

B U' (17) (probability 48/2048)

37. Isomorphic to (1,2,3,5,7,12): L2 F' L2 U2 B2 R' B' L F L2 D2 B R D B2 L

U' (17) (probability 48/2048)

38. Isomorphic to (1,2,3,5,8,9): F2 U B2 L' R2 D' F' U2 F2 L' B2 D2 U R F

L2 (16) (probability 48/2048)

39. Isomorphic to (1,2,3,5,8,10): D' L2 D B L B' F2 U' B L2 B' D' L' D U2 F

(16) (probability 48/2048)

40. Isomorphic to (1,2,3,5,8,11): L2 D2 U L R2 D' R' D' R2 B2 F L2 R B' L'

B' (16) (probability 48/2048)

41. Isomorphic to (1,2,3,5,8,12): L2 D2 U' R2 F R F L' R2 B' F2 L2 D L D R'

(16) (probability 48/2048)

42. Isomorphic to (1,2,3,5,11,12): U' B2 F2 R D' B L D' F' D2 U2 L B' D R

B' (16) (probability 48/2048)

43. Isomorphic to (1,2,3,7,8,10): U B2 F2 D2 B' F L B D' B2 F2 U2 B F' L'

B' (16) (probability 48/2048)

44. Isomorphic to (1,2,3,7,9,10): D2 L' F' R2 F2 U' B2 L2 R D F U2 F2 R B2

U' (16) (probability 16/2048)

45. Isomorphic to (1,2,3,7,9,12): B' F2 R' B U2 B' L' U' L R2 F L' U2 L B U

(16) (probability 48/2048)

46. Isomorphic to (1,2,3,7,10,12): R2 D U2 R' B' R' D2 U L2 U2 L' D R F R'

U2 (16) (probability 27/2048)

47. Isomorphic to (1,2,3,8,9,11): R2 D2 R2 D F' D' L' U R2 U2 L2 R' D B D

L' (16) (probability 12/2048)

48. Isomorphic to (1,2,3,8,9,12): L2 R' F R D F2 D' L D U2 F' D' R' F2 R U'

(16) (probability 45/2048)

49. Isomorphic to (1,2,3,8,10,12): L2 D2 U R' F' R' D U2 R2 U2 R' B R D L'

U2 (16) (probability 12/2048)

50. Isomorphic to (1,2,7,8,9,12): L B' D2 U2 R U B' L' U F' L2 R2 D L F' U'

(16) (probability 12/2048)

51. Isomorphic to (1,3,6,8,9,12): F2 D B2 L2 D2 F2 U B' R' F R2 U F2 L2 D L

F R' (18) (probability 4/2048)

52. Isomorphic to (1,3,6,8,10,11): R2 B2 F2 D F R' U' F L' D2 U2 B U L' F'

U R (17) (probability 4/2048)

Eight Edges to Orient

Eighteen algorithms; probability 495/2048 (0.24169)

53. Isomorphic to not (1,2,3,4): L2 R2 D' B' F' L' R' D' U' B' F' L' R' U'

L2 R2 (16) (probability 6/2048)

54. Isomorphic to not (1,2,3,5): U' B2 D' L' R' B' F' D' U' L' R' B' F' U'

B2 U (16) (probability 48/2048)

55. Isomorphic to not (1,2,3,7): U2 L2 D' B' F' L' R' D' U' B' F' L' R' U'

L2 U2 (16) (probability 24/2048)

56. Isomorphic to not (1,2,3,8): R2 D' B' F' L' R' D' U' B' F' L' R' U' R2

(14) (probability 24/2048)

57. Isomorphic to not (1,2,3,9): U' B2 F2 L2 F' U2 L' D U L' U2 B' L2 B2 F2

U' L' R' (18) (probability 48/2048)

58. Isomorphic to not (1,2,3,10): L R2 D' B' F' L' R' D' U' B' F' L' R' U'

L' R2 (16) (probability 48/2048)

59. Isomorphic to not (1,2,5,6): B' F' L' R' D' U' B' F' L' R' D' U' (12)

(probability 3/2048)

60. Isomorphic to not (1,2,5,7): F D B' L' R' D' U' B' F' L' R' D' U' F' D'

F' (16) (probability 48/2048)

61. Isomorphic to not (1,2,7,8): D' B' F' L' R' D' U' B' F' L' R' U' (12)

(probability 6/2048)

62. Isomorphic to not (1,2,7,9): F' L D' B' F' L' R' D' U' B' F' L' R' U' L'

F (16) (probability 48/2048)

63. Isomorphic to not (1,2,8,9): R' D' B' F' L' R' D' U' B' F' L' R' U' R

(14) (probability 48/2048)

64. Isomorphic to not (1,2,9,11): B U2 L' R' D B2 L2 D2 B F R2 F2 L' D U F'

(16) (probability 12/2048)

65. Isomorphic to not (1,2,9,12): B' F D' U' L B2 L2 B' F' U2 R2 F2 D' L R

U2 (16) (probability 24/2048)

66. Isomorphic to not (1,3,6,8): D F2 L R B D2 L2 F2 D' U' R2 U2 R' B' F' U'

(16) (probability 12/2048)

67. Isomorphic to not (1,3,6,9): U2 L B' L' R' D' U' B' F' L' R' D' U' F' L'

U2 (16) (probability 24/2048)

68. Isomorphic to not (1,3,6,10): U' R' B' L' R' D' U' B' F' L' R' D' U' F'

R U (16) (probability 24/2048)

69. Isomorphic to not (1,3,6,11): U R' F2 D' L' R' B' F' D' U' L' R' B' F'

U' F2 R U' (18) (probability 24/2048)

70. Isomorphic to not (1,3,6,12): R D2 B' D' U' L' R' B' F' D' U' L' R' F'

D2 R' (16) (probability 24/2048)

Ten Edges to Orient

Four algorithms; probability 66/2048 (0.03222)

71. Isomorphic to not (1,2): D U' B2 L2 B2 L2 D2 R' B2 U2 B' F' D' B2 U' L

R' F' (18) (probability 12/2048)

72. Isomorphic to not (1,3): D' U' R2 D' U2 B2 L2 B2 U' L R F D' U R B F R2

(18) (probability 24/2048)

73. Isomorphic to not (1,6): D2 B2 L2 B2 D' L2 D U L2 B' F' L' D U' B' L' R'

U' (18) (probability 6/2048)

74. Isomorphic to not (1,11): L2 B2 D U' B2 R2 D2 R B F' D' L' R' B L2 U2 R2

F' (18) (probability 24/2048)

Twelve Edges to Orient

One algorithm; probability 1/2048 (0.00048)

75. Isomorphic to superflip: U' R2 U' F2 D' R2 U' B F U2 L' B2 R2 F2 D' U F'

U2 L' R' (20) (probability 1/2048)

Stage 4: Finishing the Middle Layer

Average number of moves 6.5

(Need to reflect some algorithms (these are not noted) and to invert some

(noted))

76. D2 B2 D2 U2 F2 U2 (Probability 1/12)

77. D B2 F2 D' U L2 R2 U' (Probability 1/24)

78. D R2 D' U F2 U' (Probability 1/3 - need to know inverse)

79. F2 U2 F2 U2 F2 U2 (Probability 1/6 - disturbs U layer too)

80. F2 D' U' L2 D U F2 U2 (Probability 1/12 - disturbs U layer too)

81. D2 B2 D' U' R2 D' U' F2 (Probability 1/12 - disturbs U layer too, needs

inverse)

82. B2 D' U' R2 D2 L2 D' U' (Probability 1/6 - disturbs U layer too, needs

inverse)

Stage 5 / 6: Edges to Correct Layer

Eleven algorithms; average number of moves 7 17/35

One Edge to Move

Two algorithms; probability 16/70 (0.22857)

83. Isomorphic to (1 5 2) (the inverse gives (1 2 5)): L R' F2 L' R U2 (6*)

(probability 8/70)

84. Isomorphic to (1 5 3): B2 L2 D F2 L2 B2 U R2 (8) (probability 8/70)

Two Edges to Move

Six algorithms; probability 36/70 (0.51428)

85. Isomorphic to (1 5)(2 6): L2 B2 L2 R2 F2 R2 (6) (probability 2/70)

86. Isomorphic to (1 5)(2 7): L2 B2 R2 D' B2 L2 F2 U' (8) (probability

16/70)

87. Isomorphic to (1 5)(3 7): F2 R2 F2 R2 F2 R2 (6) (probability 4/70;

effectively the same as one of the Stage 4 algorithms, 2 both adjacent

straight)

88. Isomorphic to (1 5)(3 8): R2 B2 L2 D2 B2 R2 F2 U2 (8) (probability

8/70)

89. Isomorphic to (1 6)(3 8): U2 B2 R2 F2 L2 F2 R2 U2 (8) (probability

4/70)

90. Isomorphic to (1 7)(2 8): U' R2 F2 B2 L2 F2 B2 U (8) (probability 2/70)

Three Edges to Move

Three algorithms; probability 16/70 (0.22857)

91. Isomorphic to (1 5 2 3)(3 7): L' B2 L2 F2 L' R' U2 R' (8) (probability

4/70)

92. Isomorphic to (1 5 2 6)(4 8): R2 D B2 L2 R2 F2 U' L2 (8) (probability

4/70)

93. Isomorphic to (1 6 2 7)(3 8): L2 U F2 R2 F2 U L2 B2 (8) (probability

8/70)

Four Edges to Move

One algorithm; probability 1/70 (0.01428)

94. Isomorphic to (1 5)(2 6)(3 7)(4 8): L2 F2 R2 B2 F2 R2 F2 R2 (8)

(probability 1/70)

Stage 7

One algorithm; probability 1/2 (0.5); average number of moves 3

Same as (or at least is isomorphic to) an algorithm from Stage 4 (from a

different angle)

95. L2 R2 U2 L2 R2 D2

_________________________________________________________________

On the move? Get Hotmail on your mobile phone http://www.msn.co.uk/msnmobile`To unsubscribe from this group, send an email to:`

blindfoldsolving-rubiks-cube-unsubscribe@yahoogroups.com`Your use of Yahoo! Groups is subject to the Yahoo! Terms of Service.` - Hi all!

Anybody still living in this group? ;-) I just heard of it and was

pointed to this post of Richard's method.

Question: Is he really using this many algorithms? I remember him

writing somewhere that he doesn't do it for speed. But then why so

many algs? Btw, stage 3 seems to be missing... I was surprised to read

"Finishing the middle layer" after just orientation algs :-)

Also, how do the other top guys memorize/solve?

Cheers!

Stefan (who recently began blindfold solving several puzzles and wants

to get better). - Hi Stefan,

Yup, I'm alive. lol

answer to your q: Dr. C does not use all those algs, just suggested

that more algorithms could be used for blindfold cubing, and came up

with that list. I've memorized some of the useful ones (especially

edge orientation alg.), but I feel that BCFSSS (Blindfold cubing for

seriously sad savants - a work in progress by Dr. C) is a little too

much for me, at least for now. Maybe I'll try it in the summer...

My method is basically the same as the method on stiff_hands' page,

i.e. I memorize permutation in cycles. For orientation, I don't use

any numbers, but take a mental picture of the blue/white stickers (my

U and D...japanese color scheme)

For solving, I start with corner orientation (since this is the

hardest part for me), then edge orientation. Then I move on to

permutation, but this is done in a totally random manner. (for

example, I stop in the middle of permuting the edges and use some PLL

algs to move around corners and edges at the same time, then go back

to solving corners and edges separately)

i sure hope that makes sense. :D

Macky

--- In blindfoldsolving-rubiks-cube@yahoogroups.com, "Stefan

Pochmann" <pochmann@g...> wrote:> Hi all!

read

>

> Anybody still living in this group? ;-) I just heard of it and was

> pointed to this post of Richard's method.

>

> Question: Is he really using this many algorithms? I remember him

> writing somewhere that he doesn't do it for speed. But then why so

> many algs? Btw, stage 3 seems to be missing... I was surprised to

> "Finishing the middle layer" after just orientation algs :-)

wants

>

> Also, how do the other top guys memorize/solve?

>

> Cheers!

> Stefan (who recently began blindfold solving several puzzles and

> to get better).

- --- In blindfoldsolving-rubiks-cube@yahoogroups.com, "simonl cube"

<simonlcube@h...> wrote:> Here is most of Richard's advanced method in one email, a total of

95

> algorithms! These appeared in instalments over at speedsolving.

This is not the advanced method - this is not even the intermediate

>

method.

Those algorithms were from much earlier, less developed, versions.