March 9, 2024Open Access

Dihedral Tilings of the Sphere by Regular Polygons and Quadrilaterals I: Quadrilaterals with Equal Opposite Edges

HLHoi Ping LukUniversity of West Bohemia

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Abstract

We classify the dihedral edge-to-edge tilings of the sphere by regular polygons and quadrilaterals with equal opposite edges (edge configuration xyxy).

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Hoi Ping Luk (Sat,) studied this question.

synapsesocial.com/papers/68e74e0bb6db6435876c62f4 https://doi.org/https://doi.org/10.48550/arxiv.2403.05938

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4Rational Angles and Tilings of the Sphere by Congruent Quadrilaterals2024 · 2 citations
5A parity phenomenon of spherical tilings2026

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