Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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:
    http://www.fam-bundgaard.dk/SOMA/NEWS/N030518.HTM

    Which is a very beautiful structure but a bit hard to decode into solutions. A friend of mine did some work decoding it:
    http://artisticapproach2math.blogspot.com/2016/05/somap-tips-tricks-and-other-stuff.html

    Perhaps a tree graph? Not nearly as elegant as the SOMAP:
    http://artisticapproach2math.blogspot.com/2016/09/graphs-and-solutions-representation.html

    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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted