Cube Lovers: Equivalence Classes for God's Algorithm for Edges of 3x3x3

Date: Sun, 05 Dec 93 17:54:48 -0500 (EST)

From: Jerry Bryan <BRYAN%WVNVM.BITNET@mitvma.mit.edu >
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Subject: Equivalence Classes for God's Algorithm for Edges of 3x3x3

 Number of      Size of        Total
Equivalence    Equivalence     States
    Classes      Class

          4       24                96
          2       48                96
         12       72               864
         16       96             1,536
        110      144            15,840
         70      192            13,440
      1,544      288           444,672
      1,252      384           480,768
    128,858      576        74,222,208
851,493,140     1152   980,920,097,280

851,625,008            980,995,276,800

Note that 980,995,276,800=12!(2^12)/2, so the proper total was
obtained.

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Robert G. Bryan (Jerry Bryan)              (304) 293-5192
Associate Director, WVNET                  (304) 293-5540 fax
837 Chestnut Ridge Road                     BRYAN@WVNVM
Morgantown, WV 26505                        BRYAN@WVNVM.WVNET.EDU

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