I am a computer scientist, who is currently trying to program Neural Networks to solve various Tiling Problems. As a non-mathematician, I would appreciate any help or advice, pointers to useful references about tiling problems. I am aware of Solomon Golomb's book on Polyominoes and the Scientific American articles by Martin Gardner.
To clear up any confusion I had better say what I mean by the Tiling problem. Given a set of tiling-pieces, and an irregular closed region, completly cover the closed region with pieces.
The following is allowed: make as many copies of any tile-piece you want, translate and rotate the coiped pieces how you like. invert/flip the peice if desired.
You are NOT allowed to: perform any operation on the tile-piece which deforms it (this includes scaling).
Thanks in advance...
Bharat Purohit Image Processing Group, Kings College London, University of London, email: firstname.lastname@example.org or email@example.com