3 papers
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.CO2024
Dihedral f-Tilings of the Sphere Induced by the Möbius Triangle
Catarina Avelino, Hoi Ping Luk, Altino Santos
We classify the special families of dihedral folding tilings of the sphere derived from the Möbius triangle . Our study emerges from the study of isometric foldings in the…
math.CO2021
Tilings of the Sphere by Congruent Quadrilaterals with Exactly Two Equal Edges
Ho Man Cheung, Hoi Ping Luk
In this paper we give a classification of tilings of the sphere by congruent quadrilaterals with exactly two equal edges. The tilings are the earth map tilings, -earth map t…