English

A weakly universal cellular automaton in the pentagrid with five states

Cellular Automata and Lattice Gases 2014-03-12 v1 Discrete Mathematics

Abstract

In this paper, we construct a cellular automaton on the pentagrid which is planar, weakly universal and which have five states only. This result much improves the best result which was with nine states

Keywords

Cite

@article{arxiv.1403.2373,
  title  = {A weakly universal cellular automaton in the pentagrid with five states},
  author = {Maurice Margenstern},
  journal= {arXiv preprint arXiv:1403.2373},
  year   = {2014}
}

Comments

23 pages, 21 figures