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:
“Alas! when Virtue sits high aloft on a frigate’s poop, when Virtue is crowned in the cabin of a Commodore, when Virtue rules by compulsion, and domineers over Vice as a slave, then Virtue, though her mandates be outwardly observed, bears little interior sway.”
—Herman Melville (1819–1891)
“If you do not regard feminism with an uplifting sense of the gloriousness of woman’s industrial destiny, or in the way, in short, that it is prescribed, by the rules of the political publicist, that you should, that will be interpreted by your opponents as an attack on woman.”
—Wyndham Lewis (1882–1957)
“Logic teaches rules for presentation, not thinking.”
—Mason Cooley (b. 1927)