Wolfram Demonstrations Project

Interesting patterns can be found among the 64 possible five-neighbor 2D totalistic cellular automata (CA) with random initial conditions. These CA use a von Neumann neighborhood. For example, rule 52 tends to cluster black cells together.

Contributed by: Daniel de Souza Carvalho

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Reference: T. Rowland, "Two-Dimensional Totalistic Code 52," Complex Systems, 17, 2007 pp. 163–182.

von Neumann Neighborhood (Wolfram MathWorld)

Cellular Automaton (Wolfram MathWorld)

Cluster Cellular Automata (Wolfram Demonstrations Project)

Two Dimensions and Beyond (NKS|Online)

"Five-Neighbor 2D Totalistic Cellular Automata" from the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FiveNeighbor2DTotalisticCellularAutomata/

Contributed by: Daniel de Souza Carvalho

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Five-Neighbor 2D Totalistic Cellular Automata

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