Rules
As with any cellular automaton, the cyclic cellular automaton consists of a regular grid of cells in one or more dimensions. The cells can take on any of states, ranging from to . The first generation starts out with random states in each of the cells. In each subsequent generation, if a cell has a neighboring cell whose value is the successor of the cell's value, the cell is "consumed" and takes on the succeeding value. (Note that 0 is the successor of ; see also modular arithmetic.) More general forms of this type of rule also include a threshold parameter, and only allow a cell to be consumed when the number of neighbors with the successor value exceeds this threshold.
Read more about this topic: Cyclic Cellular Automaton
Famous quotes containing the word rules:
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—John Jay Chapman (1862–1933)
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—Ellen Terry (1847–1928)
“A man often thinks he rules himself, when all the while he is ruled and managed; and while his understanding directs one design, his affections imperceptibly draw him into another.”
—François, Duc De La Rochefoucauld (1613–1680)