Do you know any resource that can explain the structures of the Soma cube graphs from scratch? I never knew anything about them before this thread.
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I will also refine my questions regarding
Graphs of Tilings (specifically a simple trominoes puzzle)
http://web.calstatela.edu/faculty/sheubac/papers/Graphs%20of%20Tilings.pdf
If not, I think this thread should be moved to 'This is Cool' or 'Euler\'s Avenue'
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2. A weighted graph of the pieces "touching" in all 240 solutions would be a way to illustrate the constancy of some of the pieces.
reference - http://www.fam-bundgaard.dk/SOMA/NEWS/N990201.HTM
How do I post pictures? Rather than links to pictures . . . .
Thanks much.
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]]>http://math.stackexchange.com/questions/954037/can-i-record-soma-puzzle-solutions-with-tree-graphs
Not much activity other than me.
It seems reasonable to me that the solutions can be shown on a tree graph but:
1. How best to do it? Start with tables and then sort the tables before graphing?
2. How much information is needed? I think the piece color occupying which of 8 vertices may suffice.
3. Are other graph methods of use to:
a. determine a bound on the number of solutions?
b. determine allowable piece positions?
This is part of a Leonardo's Basement project to make hands on math activities for elementary schools. Some previous work can be seen here:
http://www.fam-bundgaard.dk/SOMA/NEWS/N060808.HTM
I realize this is quite a number of questions but I thought I would give this forum a try. If I need to refine my query please let me know.
Thanks much!
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