Is there any known two-dimensional Conway's game of life variation where each cell can not be just on/off but able to hold more states, maybe 4 or 5?
Conway's game of life variations
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On
There are many: check out this website. http://golly.sourceforge.net/Help/Algorithms/RuleTable.html
Often scientists will write their own variations to model certain real world scenarios.
On
I wrote a "spatial ecology" variant here in which different populations (with various birth and death rates) in-effect compete for "space". It's in Java, with source available (tho' was written a long time ago, with the 'original' windowing system).
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I can recomend the software Golly, it's so far ahead of anything else and easy to use. Generations rules are similar to Lifelike rules such as Conways Life but have more states. Alternitivly WireWorld as mentioned above is an example in Golly of a Rule Table, and their are many other for more human engineered cellular automata.
Adding on to anon's comment, here's a cellular automaton called Wireworld.