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arXiv · 1504.01434

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

José Manuel Gómez Soto·Andrew Wuensche
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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.

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José Manuel Gómez Soto, Andrew Wuensche. 2015-04-06. The X-rule: universal computation in a non-isotropic Life-like Cellular Automaton. https://arxiv.org/abs/1504.01434

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