Investigations of Game of Life Cellular Automata Rules on Penrose Tilings: Lifetime, Ash, and Oscillator Statistics
Nick Owens and Susan Stepney
Conway’s Game of Life (GoL) rules can be applied to Cellular Automata (CAs) running on aperiodic grids, namely Penrose tilings. Here we investigate the result of running such CAs from random initial conditions. We describe our experimental setup, and demonstrate that the GoL on the Penrose kite and dart tiling has significantly different statistical behaviour from that on the Penrose rhomb tiling.
Keywords: Cellular Automata, Game of Life, Penrose Tilings, Aperiodic Tiling