Dihedral f-tilings of the sphere by equilateral and scalene triangles. III.
The electronic journal of combinatorics, Tome 15 (2008)
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The study of spherical dihedral f-tilings by equilateral and isosceles triangles was introduced in [3]. Taking as prototiles equilateral and scalene triangles, we are faced with three possible ways of adjacency. In [4] and [5] two of these possibilities were studied. Here, we complete this study, describing the f-tilings related to the remaining case of adjacency, including their symmetry groups. A table summarizing the results concerning all dihedral f-tilings by equilateral and scalene triangles is given in Table 2.
DOI : 10.37236/871
Classification : 52C20, 52B05, 20B35
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     author = {A. M. d'Azevedo Breda and Patr{\'\i}cia S. Ribeiro and Altino F. Santos},
     title = {Dihedral f-tilings of the sphere by equilateral and scalene triangles. {III.}},
     journal = {The electronic journal of combinatorics},
     year = {2008},
     volume = {15},
     doi = {10.37236/871},
     zbl = {1161.52012},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/871/}
}
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A. M. d'Azevedo Breda; Patrícia S. Ribeiro; Altino F. Santos. Dihedral f-tilings of the sphere by equilateral and scalene triangles. III.. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/871

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