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Erschienen in:
2010 | OriginalPaper | Buchkapitel
The Game of Life in Non-square Environments
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Here we explore the Game of Life (GoL) where it exists in other cellular automata (CA) “universes” of from one to four dimensions. We also look at various tessellations — triangular, pentagonal, hexagonal, and three dimensional “densely packed spheres”. For our exploration, we specifically define (and examine) only CA rules that conform to the definition of a GoL given in Chap. 1 — namely that for a given rule, (1) random configurations must stabilize, (2) at least one glider must exist under the rule and (3) all neighbors are treated the same. These rather intuitive restrictions will limit our survey to a reasonable number of interesting rules.