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- W3000270491 abstract "The study of dihedral f-tilings of the sphere $S^2$ by spherical triangles and equiangular spherical quadrangles (which includes the case of 4-sided regular polygons) was presented by Breda and Santos [Beiträge zur Algebra und Geometrie, 45 (2004), 447–461]. Also, in a subsequent paper, the study of dihedral f-tilings of $S^2$ whose prototiles are an equilateral triangle (a 3-sided regular polygon) and an isosceles triangle was described (we believe that the analysis considering scalene triangles as the prototiles will lead to a wide family of f-tilings). In this paper we extend these results, presenting the study of dihedral f-tilings by spherical triangles and $r$-sided regular polygons, for any $r ge 5$. The combinatorial structure, including the symmetry group of each tiling, is given." @default.
- W3000270491 created "2020-01-23" @default.
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- W3000270491 date "2008-02-04" @default.
- W3000270491 modified "2023-09-26" @default.
- W3000270491 title "Spherical F-Tilings by Triangles and $r$-Sided Regular Polygons, $r ge 5$" @default.
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- W3000270491 doi "https://doi.org/10.37236/746" @default.
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