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:
“Learn hence for ancient rules a just esteem;
To copy Nature is to copy them.”
—Alexander Pope (1688–1744)
“Under the rules of a society that cannot distinguish between profit and profiteering, between money defined as necessity and money defined as luxury, murder is occasionally obligatory and always permissible.”
—Lewis H. Lapham (b. 1935)
“For 350 years we have been taught that reading maketh a full man, conference a ready man and writing an exact man. Football’s place is to add a patina of character, a deference to the rules and a respect for authority.”
—Walter Wellesley (Red)