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arXiv · 2607.06798

Dihedral Tilings of the Sphere by Kites and Regular Polygons

Robert Barish·Kam Hang Cheng·Hoi Ping Luk
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Abstract

In this article, we study the edge-to-edge dihedral tilings of the sphere by kites and regular $m$-gons with $m\ge 4$. All such tilings have been identified and fully classified, using various combinatorial and geometric tools. New phenomena are observed among the tilings.

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Robert Barish, Kam Hang Cheng, Hoi Ping Luk. 2026-07-07. Dihedral Tilings of the Sphere by Kites and Regular Polygons. https://arxiv.org/abs/2607.06798

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