Penrose Life: Ash and Oscillators

We compare the long term behaviour of Conway’s Game of Life cellular automaton, from initial random configurations, on a bounded rectangular grid and a bounded Penrose tiling grid. We investigate the lifetime to stability, the final ‘ash’ density, and the number and period of final oscillators. Penrose grids have similar qualitative behaviour but different quantitative behaviour, with shorter lifetimes, lower ash densities, and higher ocurrence of long-period oscillators.

• Type: Conference
• Year: 2005
• Where: ECAL
• Authors: Margaret Hill, Susan Stepney, Francis Wan
• Keywords: ECAL 2005, Long Term Behaviour, Penrose Tiling Grid, Similar Qualitative Behaviour