Irrational life
William Geller and Michał Misiurewicz
Source: Experiment. Math. Volume 14, Issue 3 (2005), 271-275.
Abstract
We prove that in Conway's Game of Life cellular automaton with initial configuration irrat2, the linear growth rate of the number of live cells is irrational, as conjectured in 1991 by Dean Hickerson. Our proof uses intertwined substitution sequences.
Primary Subjects: 37B15, 37B10
Keywords: Game of Life; substitutions
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Experimental Mathematics
