A Weakly Universal Weighted Cellular Automaton in the Heptagrid with 6 States
Maurice Margenstern
In this paper, we prove that there is a weakly universal weighted cellular automaton in the heptagrid, the tessellation {7, 3} of the hyperbolic plane, with 6 states. The present paper improves a previous result with 7 states deposited on arXiv:2301.1091v1, arXiv:2301.1091v2 and on arXiv:2301.1091v3.
Keywords: Hyperbolic tiling, cellular automata, universality