Conway's Game of Life
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Aliquot sequence, a similar problem of nonnegative integers
artificial life – A field of study wherein researchers examine systems related to natural life, its processes, and its evolution, through the use of simulations
Glory Season – 1993 science fiction novel by David Brin, is set in a future society where the Game of Life is played in a competitive two-player mode
Langton's ant – Two-dimensional Turing machine with emergent behavior
Poietic Generator – Social network game played on a two-dimensional matrix, a "human" Game of Life.
Reaction–diffusion system – Type of mathematical model that provides diffusing-chemical-reagent simulations (including Life-like)
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