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math.CO2025
Tiling the Sphere with Regular Polygons
Hoi Ping Luk, Roman Nedela, Christopher Purcell
We give a complete classification of edge-to-edge tilings of the sphere by regular polygons under a unified framework. Without assuming convexity of the tiles or polyhedrality of t…
math.CO2025
Edge-to-edge Tilings of the Sphere by Angle Congruent Pentagons
Robert Barish, Hoi Ping Luk, Min Yan
Congruent polygons are congruent in angles as well as in edge lengths. We concentrate on the angle aspect, and investigate how tilings of the sphere by congruent pentagons can be d…