A weakly universal cellular automaton in the heptagrid

Abstract

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

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

References in corpus (1)

• A family of weakly universal cellular automata in the hyperbolic plane with two states