Abstract

This chapter discusses cellular automata. Cellular Automata is a class of mathematical systems that, at first glance, seems to have little to do with chaos or fractal systems. These were originally developed by the mathematicians John Von Neuman and Stanislaw Ulam as a model of reproduction in biological systems. Cellular automata are also known by different names, such as tessellation automata, cellular structures, or iterative arrays. In the simplest form, a cellular automaton consists of a grid or line of cells that can be in one of two states, alive or dead. In line automata, the left and right edges of the line are joined together to produce a continuous line. Two-dimensional automata will consist of a grid occupied by cells, with the left and right edges meeting and the top and bottom edges meeting. Three-dimensional cellular automata will consist of a cubic array of cells—a bit like a Rubic cube. Cellular automata can exist in different dimensional variants.

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