Cellular automaton rules

two-dimensional cellular automaton devised by J. H. Conway in 1970

two-dimensional Turing machine with emergent behavior

thumb|183px|2 Wireworld diodes, the above one in conduction direction, the lower one in reverse-biasing Wireworld, alternatively WireWorld, is a cellular automaton first proposed by Brian Silverman in 1987, as part of his program Phantom Fish Tank. It subsequently became more widely known as a result of an article in the "Computer Recreations" column of Scientific American. Wireworld is particularly suited to simulating transistors, and is Turing-complete.

one-dimensional cellular automaton rule with chaotic behavior

A 2-state 2-color turmite on a square grid. Starting from an empty grid, after 8342 steps the turmite (a red pixel) has exhibited both chaotic and regular movement phases.|thumb|250x250px

elementary cellular automaton

family of cellular automata

Wa-Tor is a population dynamics simulation devised by A. K. Dewdney and presented in the December 1984 issue of Scientific American in a five-page article entitled "Computer Recreations: Sharks and fish wage an ecological war on the toroidal planet Wa-Tor".

cellular automaton

elementary cellular automaton based on the exclusive-or function

self-reproducing patterns in a particular cellular automaton rule, investigated in 1984 by Christopher Langton

cellular automaton traffic flow model

thumb|A sample autonomous pattern from Lenia. thumb|An animation showing the movement of a glider in Lenia. Lenia is a family of cellular automata created by Bert Wang-Chak Chan. It is intended to be a continuous generalization of Conway's Game of Life, with continuous states, space and time. As a consequence of its continuous, high-resolution domain, the complex autonomous patterns ("lifeforms" or "spaceships") generated in Lenia are described as differing from those appearing in other cellular automata, being "geometric, metameric, fuzzy, resilient, adaptive, and rule-generic".

traffic simulation model

cellular automaton used to model universal construction

elementary cellular automaton with behavior on the boundary between stability and chaos