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.
Tilings of the Sphere by Congruent Quadrilaterals or Triangles
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We completely classify edge-to-edge tilings of the sphere by congruent quadrilaterals. As part of the classification, we also present a modern version of the classification of edge-to-edge tilings of the sphere by congruent triangles. Together with our series of papers that classifies edge-to-edge tilings of the sphere by congruent pentagons, we complete the classification of edge-to-edge tilings of the sphere by congruent polygons.
fields
math.CO 2representative citing papers
Investigates edge-to-edge spherical tilings by angle-congruent pentagons and the impact of reducing angle distinctions.
citing papers explorer
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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.
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Edge-to-edge Tilings of the Sphere by Angle Congruent Pentagons
Investigates edge-to-edge spherical tilings by angle-congruent pentagons and the impact of reducing angle distinctions.