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
Included in
Applied Mathematics Commons, Discrete Mathematics and Combinatorics Commons, Dynamical Systems Commons