English

A new weakly universal cellular automaton in the 3D hyperbolic space with two states

Formal Languages and Automata Theory 2010-05-27 v1

Abstract

In this paper, we show a construction of a weakly universal cellular automaton in the 3D hyperbolic space with two states. The cellular automaton is rotation invariant and, moreover, based on a new implementation of a railway circuit in the dodecagrid,the construction is a truly 3D-one.

Keywords

Cite

@article{arxiv.1005.4826,
  title  = {A new weakly universal cellular automaton in the 3D hyperbolic space with two states},
  author = {Maurice Margenstern},
  journal= {arXiv preprint arXiv:1005.4826},
  year   = {2010}
}

Comments

38p., 25 figures, 8 tables