Dihedral Tilings of the Sphere by Regular Polygons and Quadrilaterals I: Squares and Rhombi

2024/03/09 by Hoi Ping Luk, Luk, Hoi Ping
Materials Science · #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.2403.05941

Abstract

We classify the dihedral edge-to-edge tilings of the sphere by squares and rhombi.

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• Dihedral Tilings of the Sphere by Regular Polygons and Quadrilaterals II: Regular Polygons with High Gonality and Rhombi
• Dihedral Tilings of the Sphere by Regular Polygons and Quadrilaterals I: Quadrilaterals with Equal Opposite Edges
• Tiling the Sphere with Regular Polygons
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