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- Title
Right triangular spherical dihedral f-tilings: the $${\left(\frac{\pi}{2},\frac{\pi}{3},\frac{\pi}{5}\right)}$$ , $${\left(\frac{\pi}{2},\frac{2\pi}{5},\frac{\pi}{5}\right)}$$ family.
- Authors
Avelino, Catarina; Santos, Altino
- Abstract
In this paper we classify all the dihedral f-tilings of the sphere whose prototiles are the right triangles of angles $${\left(\frac{\pi}{2},\frac{\pi}{3},\frac{\pi}{5}\right)}$$ and $${\left(\frac{\pi}{2},\frac{2\pi}{5},\frac{\pi}{5}\right)}$$ . Some combinatorial aspects of the structure of each f-tiling are given.
- Subjects
TILING (Mathematics); COMBINATORICS; SPHERICAL trigonometry; LATTICE theory; SPHERES; ISOMETRICS (Mathematics); RIEMANNIAN manifolds; EUCLIDEAN metric
- Publication
Journal of Geometry, 2011, Vol 102, Issue 1/2, p1
- ISSN
0047-2468
- Publication type
Article
- DOI
10.1007/s00022-011-0101-3