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• 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
Message 1 of 5 , Sep 2, 2003
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

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• 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
Message 2 of 5 , Sep 2, 2003
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 -----
Sent: Tuesday, September 02, 2003 7:41 AM

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

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• 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
Message 3 of 5 , Jan 6, 2004
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
Message 4 of 5 , Jan 8, 2004
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)
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!
>
> 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 :-)
>
> Also, how do the other top guys memorize/solve?
>
> Cheers!
> Stefan (who recently began blindfold solving several puzzles and
wants
> to get better).
• ... 95 ... This is not the advanced method - this is not even the intermediate method. Those algorithms were from much earlier, less developed, versions.
Message 5 of 5 , Mar 10, 2004
--- 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.
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