Irrational life

William Geller; Michał Misiurewicz

doi:em/1128371752

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Home > Journals > Experiment. Math. > Volume 14 > Issue 3 > Article

2005 Irrational life

William Geller, Michał Misiurewicz

Experiment. Math. 14(3): 271-275 (2005).

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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.