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arXiv · 2203.04457

Converting tilings with multiple types of rhombuses to pentagonal tilings

Teruhisa Sugimoto
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Abstract

The results involving rotationally symmetric tilings with multiple types of rhombuses, discovered by Penrose, Ammann, Beenker, or Socolar, are converted to tilings with multiple types of pentagons are presented. The pentagons can be convex or concave, and can be degenerated into a trapezoid or parallelogram. If the pentagons are convex, they belong to the Type 2 family.

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Teruhisa Sugimoto. 2022-03-09. Converting tilings with multiple types of rhombuses to pentagonal tilings. https://arxiv.org/abs/2203.04457

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