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Examples of generalized mobile automata with various rules. In case (a), only a limited number of cells ever become active. But in all the other cases shown active cells proliferate forever. In case (d), almost all cells are active, and the system operates essentially like a cellular automaton. In the remaining cases somewhat complicated patterns of cells are active. Note that unlike in ordinary mobile automata, examples of complex behavior like those shown here are comparatively easy to find.

From Stephen Wolfram: A New Kind of Science [citation]