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arXiv · 1709.02655

Minimal Glider-Gun in a 2D Cellular Automaton

José Manuel Gómez Soto·Andrew Wuensche
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Abstract

To understand the underlying principles of self-organisation and computation in cellular automata, it would be helpful to find the simplest form of the essential ingredients, glider-guns and eaters, because then the dynamics would be easier to interpret. Such minimal components emerge spontaneously in the newly discovered Sayab-rule, a binary 2D cellular automaton with a Moore neighborhood and isotropic dynamics. The Sayab-rule has the smallest glider-gun reported to date, consisting of just four live cells at its minimal phases. We show that the Sayab-rule can implement complex dynamical interactions and the gates required for logical universality.

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José Manuel Gómez Soto, Andrew Wuensche. 2017-09-08. Minimal Glider-Gun in a 2D Cellular Automaton. https://arxiv.org/abs/1709.02655

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