A Game of Life on a Pythagorean Tessellation

EasyChair Preprint 5345

Abstract

Conway's Game of Life is a zero-player game played on an infinite square grid, where each cell can be either "dead" or "alive". The interesting aspect of this game arises when we observe how each cell interacts with its neighbors over time. There has been much public interest in this game, and several variants have become popular. Research has shown that similar Games of Life can exist on hexagonal, triangular, and other tiled grids. Games of Life have also been devised in 3 dimensions. In this work, another Game of Life is proposed that utilizes a Pythagorean tessellation, with a unique set of rules. Several interesting life forms in this universe are also illustrated.

Keyphrases: Game of Life, Pythagorean tessellation, cell neighbor, cellular automata, conways game, two-square tiling

@booklet{EasyChair:5345,
  author    = {Soorya Annadurai},
  title     = {A Game of Life on a Pythagorean Tessellation},
  howpublished = {EasyChair Preprint 5345},
  year      = {EasyChair, 2021}}