Why not just play on a flat torus?
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Now, pls, post the source code.
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I wonder what the long-term average percentage of live cells is for random starting patterns on that surface.
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Oooo. What topologies/resolutions would allow for GOL to be turing complete?
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Unbounded is one criterion. Any finite set of cells, whatever the topology, is convertible into a finite state automaton. So a torus or sphere or projective plane won't work, but a Euclidean or hyperbolic plane might.
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Thats the good stuff. I wonder how a Julia set would look in there
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