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Math

Submission + - SmoothLife - A Continuous Conway's Life (i-programmer.info) 2

mikejuk writes: Conway's Game of Life is well known, but what about a version that works not on a discrete grid but in the continuum? It has all of the features of Life, including gliders, and it really looks alive.
A paper published at the end of last year by Stephan Rafler described a generalization of Life to a continuous domain. He called it SmoothLife. Now we have a new video by Tim Hutton of SmoothLifeL (a particular version of the rule) in action complete with gliders — see the video.
Does it have a purpose? Does it have to?

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SmoothLife - A Continuous Conway's Life

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  • How can it be continuous if it's simulated by a digital computer? Does it not just have a really high resolution?
    • Yes you are correct - the simulation is a digital approximation to a true continuous differential equation. If you like its the differential equation that corresponds to a class of 2D cellular automata.

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