Abstract
We show cellular automata (CA) configurations obtained in our studies of spacetime dynamics on aperiodic tilings and reversible self-reproducing CA. The families of CA considered have almost nothing in common but their unconventionality. In 2012 Goucher found a glider propagating CA on Penrose tilings [75]. His work was inspired by the study of the variants of the Game of Life on Penrose tilings conducted by Owens and Stepney [130, 131].
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