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arXiv · 2307.11453

Tilings of the Sphere by Congruent Pentagons IV: Edge Combination $a^4b$

Hoi Ping Luk·Min Yan
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Abstract

We classify edge-to-edge tilings of the sphere by congruent almost equilateral pentagons, in which four edges have the same length. Together with our earlier classifications of edge-to-edge tilings of the sphere by congruent equilateral pentagons of other types, and our classification of edge-to-edge tilings of the sphere by congruent quadrilaterals or triangles, we complete the classification of edge-to-edge tilings of the sphere by congruent polygons.

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BibTeXRIS

Hoi Ping Luk, Min Yan. 2024-02-08. Tilings of the Sphere by Congruent Pentagons IV: Edge Combination $a^4b$. https://arxiv.org/abs/2307.11453

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