Still Lifes and Oscillators in the Game of Life on the Hyperbolic Plane

DOI

10.2991/978-94-6463-684-0_4How to use a DOI?

Keywords

Hyperbolic Game of Life; Still Life; Oscillators

Abstract

The Game of Life gained widespread interest due to its properties and its implications on fields such as biology, mathematics, and computer science. Hyperbolic geometry, on the other hand, is a type of geometry in which tilings are less restrictive than its Euclidean counterpart. Using the hyperbolic plane also provides other benefits, such as solving problems in less time. In this paper, we discovered still lifes and oscillators to add to the existing limited body of knowledge. We also noted the attributes of these patterns and formulated some proofs based on these patterns and their properties.

Copyright

© 2025 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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TY  - CONF
AU  - Jasmin Victoria L. Pascual
AU  - Jeanne Clarisse S. Toledo
AU  - Nestine Hope S. Hernandez
PY  - 2025
DA  - 2025/04/30
TI  - Still Lifes and Oscillators in the Game of Life on the Hyperbolic Plane
BT  - Proceedings of the  Workshop on Computation: Theory and Practice (WCTP 2024)
PB  - Atlantis Press
SP  - 37
EP  - 59
SN  - 2589-4900
UR  - https://doi.org/10.2991/978-94-6463-684-0_4
DO  - 10.2991/978-94-6463-684-0_4
ID  - Pascual2025
ER  -