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Is there any function defined for say the plane, that has interesting nontrivial behaviour similar to Conway's Game Of Life, but where every point's on/off status is decided by something like the density of on points in some finite neighbourhood of the point in the plane. Alternatively the status is decided by the average status weighted by 1/distance. Preferably every point should be part of a continuous curve for easier visualization.

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    Highly nontrivial behavior can be produced by [reaction-diffusion systems](http://en.wikipedia.org/wiki/Reaction–diffusion_system), which have parallels with discrete cellular automata.2012-01-17
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    @mjqxxxx, your link URL seems to be broken. Try http://en.wikipedia.org/wiki/Reaction%E2%80%93diffusion_system2012-01-17
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    @Rahul: Thanks.. I've been having trouble with special characters in my links.2012-01-18

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