Max-Plus Generalization of Conway's Game of Life
Cellular Automata and Lattice Gases
2019-09-11 v1 Exactly Solvable and Integrable Systems
Abstract
We propose a max-plus equation which includes Conway's Game of Life (GoL) as a special case. There are some special solutions to the equation which include and unify those to GoL. Moreover, the multi-value extension of GoL is derived from the equation and the behavior of solutions is discussed.
Keywords
Cite
@article{arxiv.1909.04235,
title = {Max-Plus Generalization of Conway's Game of Life},
author = {Kotaro Sakata and Yuta Tanaka and Daisuke Takahashi},
journal= {arXiv preprint arXiv:1909.04235},
year = {2019}
}