Complex Systems

The Kaleidoscopic Game of Life Download PDF

Aida Abiad
Department of Mathematics and Computer Science
Eindhoven University of Technology
Eindhoven, The Netherlands

Department of Mathematics: Analysis, Logic and Discrete Mathematics
Ghent University
Ghent, Belgium

Department of Mathematics and Data Science
Vrije Universiteit Brussel
Brussels, Belgium

Merit Geldmacher
Alexander Grigoriev

Department of Data Analytics and Digitalization
Maastricht University
Maastricht, The Netherlands


Several image rotation operators are introduced as novel rotation variants of John Conway’s Game of Life. The main idea of the Game of Life is to simulate real-life processes such as birth, survival and death. The discrete model operates on a two-dimensional array of black and white square cells. In this paper, we study the development of patterns in image rotation using different rotation methods. Moreover, the quality of the rotation and the applicability of image rotation to the Game of Life are investigated.

Keywords: Game of Life; cellular automata; image rotation

Cite this publication as:
A. Abiad, M. Geldmacher and A. Grigoriev, “The Kaleidoscopic Game of Life,” Complex Systems, 31(1), 2022 pp. 1–58.