Cellular Automata as Mappings

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Take each possible state of a finite cellular automaton and represent it as an integer. The pictures show the mappings of these integers under one step in the evolution of the 256 elementary cellular automata. These pictures are the analogs of graphs of functions in iterated maps; they can be viewed as continuous mappings of the Cantor set to itself.

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


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