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- Title
Spherical f-Tilings by (Equilateral and Isosceles) Triangles and Isosceles Trapezoids.
- Authors
Avelino, Catarina; Santos, Altino
- Abstract
Dihedral f-tilings by spherical parallelograms and spherical triangles were obtained in [3-5]. In this paper we extend these results presenting the study of all dihedral f-tilings of the sphere S, whose prototiles are a spherical equilateral or isosceles triangle and a spherical isosceles trapezoid. The combinatorial structure, including the symmetry group of each tiling, is given in Table 1.
- Subjects
TRIANGLES; MATHEMATICS; STATISTICS; PARALLELOGRAMS; SPHERICAL trigonometry; TRAPEZOIDS; GEOMETRY; NUMERICAL analysis
- Publication
Annals of Combinatorics, 2011, Vol 15, Issue 4, p565
- ISSN
0218-0006
- Publication type
Article
- DOI
10.1007/s00026-011-0110-9