Title: A Weakly Universal Three-Dimensional Larger than Life Cellular Automaton
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 has some special patterns like gliders and blinkers in Life which realize several functions such as turning and copying gliders. Employing these functions we also show that it is weakly universal because it is possible to simulate any one-dimensional cellular automaton circuit including the rule 110 cellular automaton.
Publication Year: 2018
Publication Date: 2018-11-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 1
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