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arXiv · 2307.08184

Converting non-periodic tilings with Tile(1, 1) into tilings with three types of pentagons, I

Teruhisa Sugimoto
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Abstract

Non-periodic tilings with Tile(1, 1) using the substitution method, as presented by Smith et al. in [2] and [3], can be converted into non-periodic tilings with three types of pentagons. When arbitrary replacements are excluded, the resulting non-periodic tilings with three types of pentagons exhibit two patterns. Note that, during the conversion process in this manuscript, the rhombus is not subdivided into smaller similar rhombuses.

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Teruhisa Sugimoto. 2023-07-17. Converting non-periodic tilings with Tile(1, 1) into tilings with three types of pentagons, I. https://arxiv.org/abs/2307.08184

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