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arXiv · 2204.02736

Tilings of the Sphere by Congruent Quadrilaterals or Triangles

Ho Man Cheung·Hoi Ping Luk·Min Yan
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Abstract

We completely classify edge-to-edge tilings of the sphere by congruent quadrilaterals. As part of the classification, we also present a modern version of the classification of edge-to-edge tilings of the sphere by congruent triangles. Together with our series of papers that classifies edge-to-edge tilings of the sphere by congruent pentagons, we complete the classification of edge-to-edge tilings of the sphere by congruent polygons.

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Ho Man Cheung, Hoi Ping Luk, Min Yan. 2024-02-08. Tilings of the Sphere by Congruent Quadrilaterals or Triangles. https://arxiv.org/abs/2204.02736

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