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One way to simulate a two-dimensional cellular automaton is with an infinite sheet of graph paper along with a set of rules for the cells to follow. Each square is called a cell and each cell has two possible states, black and white. The neighborhood of a cell is the nearby, usually adjacent, cells.
A three-dimensional cellular automaton operates in three-dimensional space. Like one- and two-dimensional cellular automata, 3D automata may operate in different neighbourhoods, be totalistic or non-totalistic, isotropic or non-isotropic.
A cellular automaton (CA) is a collection of cells arranged in a grid of specified shape, such that each cell changes state as a function of time, ing to a defined set of rules driven by the states of neighboring cells.
Many phenomena in nature can be described as cellular automata: white blood cells in the immune system, neurons in the brain, stomata cells in plants, or viruses propagating through a population.
Outer-totalistic rules. Outer-totalistic rules are defined in terms of birth and survival conditions: the circumstances under which dead cells get born, and live cells survive. Theres different ways of specifying these; two common ways to write rulestrings are called B/S notation and S/B notation respectively.
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Cellular automata with fundamental spacetime representations have been used in anthropology, to model the formation of societies and in political science and sociology to explore civil violence. Cellular automata have been particularly useful in infusing geography into work in economics.