Additive Cellular Automata

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For every -element commutative monoid and every range size , there is an additive -color cellular automaton in which the color of a cell is simply the sum (in the monoid operation) of the colors of cells on the previous step. These automata always exhibit global nested structure when begun from a single cell.

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


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