Max-plus generalization of Conway’s game of life

Kotaro Sakata, Yuta Tanaka, Daisuke Takahashi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We propose a max-plus equation that includes Conway’s Game of Life (GoL) as a special case. There are some special solutions to the equation that include and unify solutions to GoL. Moreover, the multivalue extension of GoL is derived from the equation, and the behavior of solutions is discussed.

Original languageEnglish
Pages (from-to)63-76
Number of pages14
JournalComplex Systems
Issue number1
Publication statusPublished - 2020


  • Cellular automaton
  • Conway’s game of life
  • Max-plus equation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)

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