English

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

Cellular Automata and Lattice Gases 2018-03-20 v1

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.

Keywords

Cite

@article{arxiv.1803.06514,
  title  = {On weak universality of three-dimensional Larger than Life cellular automaton},
  author = {Katsunobu Imai and Kyosuke Oroji and Tomohiro Kubota},
  journal= {arXiv preprint arXiv:1803.06514},
  year   = {2018}
}