4 papers · 1 filter
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…
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…
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…
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 th…