Conway’s Game of Life is Omniperiodic

UCSC undergrad contributes final piece to answer

conway pulsar early state
conway pulsar later state

Mathematicians and the general public alike have been fascinated by the complexity generated by the apparently simple rule set of Conway’s Game of Life. Now a UCSC undergraduate has contributed to answering an intriguing question about the nature of the game, and how its rules sometimes produce endless stable repetition, when other times lead to self-destructive explosions of chaos.

LINK : Quanta magazine article about this discovery

LINK: Arxiv preprint of the paper

LINK : Wikipedia page about Conway’s Game of Life
(includes a module where you can play the game yourself !)

LINK : Other mentions of UCSC in Quanta

Last modified: Feb 26, 2025