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?