2021/08/14 by Ho Man Cheung, Cheung, Ho Man, Hoi Ping Luk +1
Engineering · Materials Science · Mathematics · #05B45 #Advanced Materials and Mechanics #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Quasicrystal Structures and Properties #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2108.06574
openalex publication_date 2021/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we give a classification of tilings of the sphere by congruent\nquadrilaterals with exactly two equal edges. The tilings are the earth map\ntilings, (p,q)-earth map tilings and their flip modifications, and\nquadrilateral subdivisions of the cube and the triangular prism. We described\nthe ranges of values of the edges and angles for the tile to be geometrically\nrealisable. The symmetry groups of the tilings are also determined.\n