Experimental Mathematics

Irrational life

William Geller and Michał Misiurewicz

Full-text: Open access

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.

Article information

Source
Experiment. Math., Volume 14, Issue 3 (2005), 271-275.

Dates
First available in Project Euclid: 3 October 2005

Permanent link to this document
https://projecteuclid.org/euclid.em/1128371752

Mathematical Reviews number (MathSciNet)
MR2172705

Zentralblatt MATH identifier
1159.37307

Subjects
Primary: 37B15: Cellular automata [See also 68Q80] 37B10: Symbolic dynamics [See also 37Cxx, 37Dxx]

Keywords
Game of Life substitutions

Citation

Geller, William; Misiurewicz, Michał. Irrational life. Experiment. Math. 14 (2005), no. 3, 271--275. https://projecteuclid.org/euclid.em/1128371752


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