The X-rule: universal computation in a non-isotropic Life-like Cellular Automaton

Abstract

We present a new Life-like cellular automaton (CA) capable of logic universality -- the X-rule. The CA is 2D, binary, with a Moore neighborhood and $\lambda$ parameter similar to the game-of-Life, but is not based on birth/survival and is non-isotropic. We outline the search method. Several glider types and stable structures emerge spontaneously within X-rule dynamics. We construct glider-guns based on periodic oscillations between stable barriers, and interactions to create logical gates.

34 pages, 45 figures, to appear in "Journal of Cellular Automata"

Cited by in corpus (1)

• Authorship Attribution Based on Life-Like Network Automata