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arXiv · 2503.11682

Tileset As: 3 squares with local rules for non-periodic tiling

Vincent Van Dongen
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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.

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Vincent Van Dongen. 2025-03-03. Tileset As: 3 squares with local rules for non-periodic tiling. https://arxiv.org/abs/2503.11682

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