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A simple mathematical system made of cells arranged on a grid. Cells have a state; all states evolve simultaneously according to a uniform set of rules such that the state at step i+1 depends on the state in step i of the cell in question and of cells in a small neighbourhood.
Such a discrete dynamical system may serve to model physical systems;
large cellular automata,
despite their simplicity at the local level, can show behaviour of substantial complexity. As information processing systems,
cellular automata may also be regarded as a subclass of artificial neural networks, in which node connections are of the nearest-neighbour type in two dimensions.
see [Wolfram86], [Raghavan93].
Rudolf K. Bock, 7 April 1998