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Irrational life. (English) Zbl 1159.37307
Summary: 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.

MSC:
37B15 Dynamical aspects of cellular automata
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