Tileset As: 3 squares with local rules for non-periodic tiling
General Mathematics
2025-03-18 v1
Abstract
This paper presents a tileset of 3 squares with local constraints on their borders and corners that enforce non-periodic tiling. We start with a description of the tileset and we demonstrate that it can tile the entire plane non-periodically creating interesting patterns. Rules are also proposed to generate the tiling. They make use of 9 supertiles with border color constraints only.
Cite
@article{arxiv.2503.11682,
title = {Tileset As: 3 squares with local rules for non-periodic tiling},
author = {Vincent Van Dongen},
journal= {arXiv preprint arXiv:2503.11682},
year = {2025}
}