Dihedral f-tilings of the sphere by equilateral and scalene triangles-I
D'Azevedo Breda, A. M. ; Ribeiro, Patrícia S. ; Santos, Altino F.
Rendiconti del Seminario Matematico della Università di Padova, Tome 124 (2010), p. 1-23 / Harvested from Numdam
Publié le : 2010-01-01
@article{RSMUP_2010__124__1_0,
     author = {D'Azevedo Breda, A. M. and Ribeiro, Patr\'\i cia S. and Santos, Altino F.},
     title = {Dihedral f-tilings of the sphere by equilateral and scalene triangles-I},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {124},
     year = {2010},
     pages = {1-23},
     mrnumber = {2752673},
     zbl = {1211.52021},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2010__124__1_0}
}
D'Azevedo Breda, A. M.; Ribeiro, Patrícia S.; Santos, Altino F. Dihedral f-tilings of the sphere by equilateral and scalene triangles-I. Rendiconti del Seminario Matematico della Università di Padova, Tome 124 (2010) pp. 1-23. http://gdmltest.u-ga.fr/item/RSMUP_2010__124__1_0/

[1] Catarina P. Avelino - Altino F. Santos, Spherical F-Tilings by Triangles and r-Sided Regular Polygons, r5, Electronic Journal of Combinatorics, 15 (1) (2008), #R22. | MR 2383442 | Zbl 1177.52010

[2] A. M. D'Azevedo Breda, A Class of Tilings of S 2 , Geometriae Dedicata, 44 (1992), pp. 241--253. | MR 1193117 | Zbl 0770.52010

[3] A. M. D'Azevedo Breda - Patrícia S. Ribeiro - Altino F. Santos, A Class of Spherical Dihedral F-Tilings, European Journal of Combinatorics, 30 (1) (2009), pp. 119--132. | MR 2460222 | Zbl 1161.52014

[4] A. M. D'Azevedo Breda - Patrícia S. Ribeiro - Altino F. Santos, Dihedral F-Tilings of the Sphere by Equilateral and Scalene Triangles-II, Electronic Journal of Combinatorics, 15 (1) (2008), #R91. | MR 2426154 | Zbl 1161.52013

[5] A. M. D'Azevedo Breda - Patrícia S. Ribeiro - Altino F. Santos, Dihedral F-Tilings of the Sphere by Equilateral and Scalene Triangles-III, Electronic Journal of Combinatorics, 15 (1) (2008), #R147. | MR 2465771 | Zbl 1161.52012

[6] A. M. D'Azevedo Breda - Altino F. Santos, Dihedral F-Tilings of the Sphere by Spherical Triangles and Equiangular Well Centered Quadrangles, Beiträge Algebra Geometrie, 45 (2004), pp. 441--461. | MR 2093177 | Zbl 1084.52011

[7] A. M. D'Azevedo Breda - A. F. Santos, Dihedral F-Tilings of the Sphere by Rhombi and Triangles, Discrete Math. Theoretical Computer Sci., 7 (2005), pp. 123--140. | MR 2164062 | Zbl 1138.52307

[8] M. Berger, Geometry, Volume 2, Section 18.4, Springer-Verlag, New York, 1996. | Zbl 0606.51001

[9] S. A. Robertson, Isometric Folding of Riemannian Manifolds, Proc. Royal Soc. Edinb. Sect. A, 79 (1977), pp. 275--284. | MR 487893 | Zbl 0418.53016