The X-rule: universal computation in a non-isotropic Life-like Cellular Automaton
Cellular Automata and Lattice Gases
2017-09-11 v2
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 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.
Keywords
Cite
@article{arxiv.1504.01434,
title = {The X-rule: universal computation in a non-isotropic Life-like Cellular Automaton},
author = {José Manuel Gómez Soto and Andrew Wuensche},
journal= {arXiv preprint arXiv:1504.01434},
year = {2017}
}
Comments
34 pages, 45 figures, to appear in "Journal of Cellular Automata"