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I Representing Tiling and Packing Solutions

  1. May 26, 2017 #1
    I have been long interested in how one might find all of the 240 unique solutions to the SOMA cube puzzle since receiving one for Christmas in 1968. If one were to find all of the solutions (many of them are "similar" and there is an interesting variety "similar" to boot) . . how best to represent them. Conway and Guy came up with the SOMAP:

    Which is a very beautiful structure but a bit hard to decode into solutions. A friend of mine did some work decoding it:

    Perhaps a tree graph? Not nearly as elegant as the SOMAP:

    Anyone have any thoughts?
  2. jcsd
  3. May 31, 2017 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
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