The Game of Life on the Hyperbolic Plane

Authors

Yuncong Gu, Rose-Hulman Institute of TechnologyFollow

Document Type

Article

Publication Date

5-2020

First Advisor

Joshua Holden

Abstract

In this paper, we work on the Game of Life on the hyperbolic plane. We are interested in different tessellations on the hyperbolic plane and different Game of Life rules. First, we show the exponential growth of polygons on the pentagon tessellation. Moreover, we find that the Group of 3 can keep the boundary of a set not getting smaller. We generalize the existence of still lifes by computer simulations. Also, we will prove some propositions of still lifes and cycles. There exists a still life under rules B1, B2, and S3.

Recommended Citation

Gu, Yuncong, "The Game of Life on the Hyperbolic Plane" (2020). Mathematical Sciences Technical Reports (MSTR). 173.
https://scholar.rose-hulman.edu/math_mstr/173