Convex pentagons and convex hexagons that can form rotationally symmetric tilings

Teruhisa Sugimoto

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arXiv · 2005.10639

Convex pentagons and convex hexagons that can form rotationally symmetric tilings

Teruhisa Sugimoto

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Abstract

In this study, the properties of convex hexagons that can form rotationally symmetric edge-to-edge tilings are discussed. Because the convex hexagons are equilateral convex parallelohexagons, convex pentagons generated by bisecting the hexagons can form rotationally symmetric non-edge-to-edge tilings. In addition, under certain circumstances, tiling-like patterns with an equilateral convex polygonal hole at the center can be formed using these convex hexagons or pentagons.

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Teruhisa Sugimoto. 2020-05-19. Convex pentagons and convex hexagons that can form rotationally symmetric tilings. https://arxiv.org/abs/2005.10639

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