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

Hoi Ping Luk

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

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arxiv 2403.05938 v1 pith:ZCA4J2B7 submitted 2024-03-09 math.CO

Hoi Ping Luk This is my paper · ORCID

classification math.CO

keywords quadrilateralsdihedraledgesequaloppositepolygonsregularsphere

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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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Dihedral Tilings of the Sphere by Kites and Regular Polygons
math.CO 2026-07 accept novelty 7.0 of 10

All edge-to-edge dihedral spherical tilings by kites and regular m-gons (m≥4) are classified into earth-map, Platonic, and Johnson-Zalgaller types with explicit AVCs and constructions.

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