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The range of cellular automata defines how many neighbors affect the next value for each pixel. Thus, range-zero automata do not take any neighbors into account. There are four possible rules for range-zero cellular automata.

Contributed by: Michael Schreiber

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Cellular Automaton (Wolfram MathWorld)

"Range-Zero Binary Cellular Automata" from the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/RangeZeroBinaryCellularAutomata/

Contributed by: Michael Schreiber

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Range-Zero Binary Cellular Automata

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