The primary classifications of cellular automata as outlined by Wolfram are numbered one to four. They are, in order, automata in which patterns generally stabilize into homogeneity, automata in which patterns evolve into mostly stable or oscillating structures, automata in which patterns evolve in a seemingly chaotic fashion, and automata in which patterns become extremely complex and may last for a long time, with stable local structures. This last class are thought to be computationally universal, or capable of simulating a Turing machine. Special types of cellular automata are those which are *reversible*, in which only a single configuration leads directly to a subsequent one, and *totalistic*, in which the future value of individual cells

depend on the total value of a group of neighboring cells. Cellular automata can simulate a variety of real-world systems, including biological and chemical ones.

# Wolfram over Class IV Cellulaire Automaten als Turing Machines

Uit Wikipedia, Lemma: Cellular Automaton