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:
“There are two great rules in life, the one general and the other particular. The first is that every one can in the end get what he wants if he only tries. This is the general rule. The particular rule is that every individual is more or less of an exception to the general rule.”
—Samuel Butler (1835–1902)
“This was Pharaoh, direct descendent of our deity Amon, god of the sun, who rules the heavens as Pharaoh rules the earth. Again, he brought treasure, gold, and precious jewels taken from our enemies. For to Pharaoh riches were power and power was to be desired. And also again he brought many captives. For is it not by slaves that one becomes even richer and then has even more power?”
—William Faulkner (1897–1962)
“Learn hence for ancient rules a just esteem;
To copy Nature is to copy them.”
—Alexander Pope (1688–1744)