Geodesic
Spherical f-tilings by scalene triangles and isosceles trapezoids. III
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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The study of the dihedral f-tilings of the sphere $S^2$ whose prototiles are a scalene triangle and an isosceles trapezoid was initiated in parts I and II. In this paper we complete this classification presenting the study of all dihedral spherical f-tilings by scalene triangles and isosceles trapezoids in the remaining case of adjacency. A list containing all the f-tilings obtained in this paper is presented. It is composed by isolated tilings as well as discrete and continuous families of tilings. The combinatorial structure is also achieved.
DOI : 10.37236/176
Classification : 52C20, 52B05, 20B35, 05B45
Mots-clés : dihedral f-tilings, combinatorial properties, spherical trigonometry, sphere, scalene triangle, isosceles trapezoids 
@article{10_37236_176,
     author = {Catarina P. Avelino and Altino F. Santos},
     title = {Spherical f-tilings by scalene triangles and isosceles trapezoids. {III}},
     journal = {The electronic journal of combinatorics},
     year = {2009},
     volume = {16},
     number = {1},
     doi = {10.37236/176},
     zbl = {1292.52020},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/176/}
}
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Catarina P. Avelino; Altino F. Santos. Spherical f-tilings by scalene triangles and isosceles trapezoids. III. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/176

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