The Game of Life on the Robinson Triangle Penrose Tiling: Still Life
Seung Hyeon Mandy Hong, May Mei
TL;DR
This paper explores Conway's Game of Life on the Robinson triangle Penrose tiling, focusing on classifying all possible four-cell still lifes within this non-periodic tiling structure.
Contribution
It provides a complete classification of four-cell still lifes in the Game of Life on the Robinson triangle Penrose tiling, a novel extension to traditional grid-based analyses.
Findings
All four-cell still lifes are classified.
The structure of still lifes differs from regular grids.
Insights into life-like patterns on aperiodic tilings.
Abstract
We investigate Conway's Game of Life played on the Robinson triangle Penrose tiling. In this paper, we classify all four-cell still lifes.
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Taxonomy
TopicsMathematics and Applications · Advanced Mathematical Theories and Applications · Quasicrystal Structures and Properties