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Richard's advanced method

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  • simonl cube
    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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    • Daniel Hayes
      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
        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

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      • Stefan Pochmann
        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).
        • mackymakisumi
          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)
            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!
            >
            > 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).
          • GameOfDeath2
            ... 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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