Document Zbl 1159.37307

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Irrational life. (English) Zbl 1159.37307

Exp. Math. 14, No. 3, 271-275 (2005).

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.

Cited in 1 Document

MSC:

37B15

Dynamical aspects of cellular automata

Keywords:

Game of Life; substitutions

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