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:
“Never invite to dinner: those who wont decide until the last minute; those who come more than half an hour late; those who want to bring along two or three friends; drunks; monologists; those who stay until three oclock in the morning; those who think that conversation means having an argument; those who take a high moral tone; those who are stupid, ugly, or dull. Enforcement of these rules will enable one to eat alone every night in comfort.”
—Mason Cooley (b. 1927)
“Different rules apply when it gets this late. You know what I mean? Its, like, after hours.”
—Joseph Minion, U.S. screenwriter, and Martin Scorsese. Peter (Rocco Sisto)
“However diligent she may be, however dedicated, no mother can escape the larger influences of culture, biology, fate . . . until we can actually live in a society where mothers and children genuinely matter, ours is an essentially powerless responsibility. Mothers carry out most of the work orders, but most of the rules governing our lives are shaped by outside influences.”
—Mary Kay Blakely (20th century)