Cellular Automata Based on Permutation Groups

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The color of each cell on each step is determined by combining the colors of its neighbors on the previous step according to a group operation. Notice that while with just a single initial nonzero cell, the patterns produced are always uniform or nested, with two initial nonzero cells, they are sometimes much more complicated.

Contributed by: Stephen Wolfram (March 2011)
Open content licensed under CC BY-NC-SA


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