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The transitions are usually specified in the form of a rule table that defines the cell's next state for each possible neighborhood configuration. The cellular array grid is typically from one to three dimensions. Highly parallel, locally connected and using simple elemental units, cellular automata can perform so-called cellular computing. See state machine. The system is based on the cellular programming approach, in which parallel cellular machines evolve to solve computational tasks.
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Image taken by Andre Badertscher; courtesy of Dr. Springer, vol. Land, M. No perfect two-state cellular automata for density classification exists. Physical Review Letters 74, pp. Langton, C. Self-reproduction in cellular automata.
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