Dihedral f-tilings of the sphere by equilateral and scalene triangles-I

A. M. D'Azevedo Breda; Patrícia S. Ribeiro; Altino F. Santos

Rendiconti del Seminario Matematico della Università di Padova (2010)

  • Volume: 124, page 1-23
  • ISSN: 0041-8994

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D'Azevedo Breda, A. M., Ribeiro, Patrícia S., and Santos, Altino F.. "Dihedral f-tilings of the sphere by equilateral and scalene triangles-I." Rendiconti del Seminario Matematico della Università di Padova 124 (2010): 1-23. <http://eudml.org/doc/241282>.

@article{DAzevedoBreda2010,
author = {D'Azevedo Breda, A. M., Ribeiro, Patrícia S., Santos, Altino F.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {spherical tiling; dihedral tiling},
language = {eng},
pages = {1-23},
publisher = {Seminario Matematico of the University of Padua},
title = {Dihedral f-tilings of the sphere by equilateral and scalene triangles-I},
url = {http://eudml.org/doc/241282},
volume = {124},
year = {2010},
}

TY - JOUR
AU - D'Azevedo Breda, A. M.
AU - Ribeiro, Patrícia S.
AU - Santos, Altino F.
TI - Dihedral f-tilings of the sphere by equilateral and scalene triangles-I
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2010
PB - Seminario Matematico of the University of Padua
VL - 124
SP - 1
EP - 23
LA - eng
KW - spherical tiling; dihedral tiling
UR - http://eudml.org/doc/241282
ER -

References

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  1. [1] Catarina P. Avelino - Altino F. Santos, Spherical F-Tilings by Triangles and r -Sided Regular Polygons, r ≥ 5 , Electronic Journal of Combinatorics, 15 (1) (2008), #R22. Zbl1177.52010MR2383442
  2. [2] A. M. D'Azevedo Breda, A Class of Tilings of S 2 , Geometriae Dedicata, 44 (1992), pp. 241--253. Zbl0770.52010MR1193117
  3. [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. Zbl1161.52014MR2460222
  4. [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. Zbl1161.52013MR2426154
  5. [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. Zbl1161.52012MR2465771
  6. [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. Zbl1084.52011MR2093177
  7. [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. Zbl1138.52307MR2164062
  8. [8] M. Berger, Geometry, Volume 2, Section 18.4, Springer-Verlag, New York, 1996. Zbl0606.51001
  9. [9] S. A. Robertson, Isometric Folding of Riemannian Manifolds, Proc. Royal Soc. Edinb. Sect. A, 79 (1977), pp. 275--284. Zbl0418.53016MR487893

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