Dihedral f-Tilings of the Sphere by Equilateral and Scalene Triangles - III

  • A. M. d'Azevedo Breda
  • Patrícia S. Ribeiro
  • Altino F. Santos


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.

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