2 papers
math.CO2026
Dihedral Tilings of the Sphere by Kites and Regular Polygons
Robert Barish, Kam Hang Cheng, Hoi Ping Luk
In this article, we study the edge-to-edge dihedral tilings of the sphere by kites and regular -gons with . All such tilings have been identified and fully classified, u…
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…