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Another physics connection is that you can easily implement cellular automaton
algorithms. (The gamemaker.nl site has a downloadable demo version of Conway's
game of life.) I haven't tried it, but I reckon this system would be pretty much
ideal for implementing things like the cellular relaxation-algorithm solution to
Laplace's equation (including multi-terminal capacitors) that I previously
implemented as a spreadsheet.
http://www.av8n.com/physics/laplace.html