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.
Dihedral Tilings of the Sphere by Regular Polygons and Quadrilaterals II: Regular Polygons with High Gonality and Rhombi
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abstract
We classify the dihedral edge-to-edge tilings of the sphere by regular polygons with gonality at least 5 and rhombi.
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Dihedral Tilings of the Sphere by Kites and Regular Polygons
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.