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Cellular Automata as Mappings
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.




"Cellular Automata as Mappings" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/CellularAutomataAsMappings/
Contributed by: Stephen Wolfram
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