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.
Full paper : PDF 444K | a revised version of part of the Automata 2008 paper
@article(SS-JCA-10,
author = "Nick Owens and Susan Stepney",
title = "Investigations of the {Game of Life} cellular automata rules on {P}enrose Tilings:
lifetime, ash and oscillator statistics",
journal = "Journal of Cellular Automata",
volume = 5,
number = 3,
pages = "207-225",
year = 2010 )