4.0 Article

Irrational life

Journal

EXPERIMENTAL MATHEMATICS
Volume 14, Issue 3, Pages 271-275

Publisher

TAYLOR & FRANCIS INC
DOI: 10.1080/10586458.2005.10128925

Keywords

game of life; substitutions

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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.

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