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arXiv · 1803.06514

On weak universality of three-dimensional Larger than Life cellular automaton

Katsunobu Imai·Kyosuke Oroji·Tomohiro Kubota
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Abstract

Larger than Life cellular automaton (LtL) is a class of cellular automata and is a generalization of the game of Life by extending its neighborhood radius. We have studied the three-dimensional extension of LtL. In this paper, we show a radius-4 three-dimensional LtL rule is a candidate for weakly universal one.

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Katsunobu Imai, Kyosuke Oroji, Tomohiro Kubota. 2018-03-17. On weak universality of three-dimensional Larger than Life cellular automaton. https://arxiv.org/abs/1803.06514

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