Right triangular spherical dihedral f-tilings: the , family

Right triangular spherical dihedral f-tilings: the , family

In this paper we classify all the dihedral f-tilings of the sphere whose prototiles are the right triangles of angles and . Some combinatorial aspects of the structure of each f-tiling are given.

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Veröffentlicht in:Journal of geometry 2011-12, Vol.102 (1-2), p.1-17
Hauptverfasser: Avelino, Catarina P., Santos, Altino F.
Format: Artikel
Sprache:eng
Schlagworte:
Geometry
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper we classify all the dihedral f-tilings of the sphere whose prototiles are the right triangles of angles and . Some combinatorial aspects of the structure of each f-tiling are given.
ISSN:0047-2468
1420-8997
DOI:10.1007/s00022-011-0101-3