A 6-state Universal Semi-totalistic Cellular Automaton on Kite and Dart Penrose Tilings

作者:Imai Katsunobu*; Hatsuda Takahiro; Poupet Victor; Sato Kota
来源:Fundamenta Informaticae, 2013, 126(2-3): 247-261.
DOI:10.3233/FI-2013-880

摘要

In this paper we investigate certain properties of semi-totalistic cellular automata (CA) on the well known quasi-periodic kite and dart two dimensional tiling of the plane presented by Roger Penrose. We show that, despite the irregularity of the underlying grid, it is possible to devise a 6-state semi-totalistic CA capable of simulating any boolean circuit and any Turing machine on this aperiodic tiling.

  • 出版日期2013