English

A weakly universal cellular automaton in the heptagrid

Discrete Mathematics 2016-07-22 v2

Abstract

In this paper, we construct a weakly universal cellular automaton in the heptagrid, the tessellation {7,3}\{7,3\} which is not rotation invariant but which is truly planar. This result, under these conditions, cannot be improved for the tessellations {p,3}\{p,3\}.

Cite

@article{arxiv.1606.09488,
  title  = {A weakly universal cellular automaton in the heptagrid},
  author = {Maurice Margenstern},
  journal= {arXiv preprint arXiv:1606.09488},
  year   = {2016}
}

Comments

32 pages, 16 figures. arXiv admin note: substantial text overlap with arXiv:1606.03938; text overlap with arXiv:1605.09518

R2 v1 2026-06-22T14:39:37.543Z