Triangular spherical dihedral f-tilings: the $(\pi/2, \pi/3, \pi/4)$ and $(2\pi/3, \pi/4, \pi/4)$ family

Authors

  • Catarina P. Avelino Department of Mathematics, UTAD, 5001-801 Vila Real, Portugal
  • Altino F. Santos Department of Mathematics, UTAD, 5001-801 Vila Real, Portugal

DOI:

https://doi.org/10.33044/revuma.v61n2a12

Abstract

 We classify all the dihedral f-tilings with spherical triangles $\big(\frac{\pi}{2}, \frac{\pi}{3}, \frac{\pi}{4}\big)$ and $\big(\frac{2\pi}{3}, \frac{\pi}{4}, \frac{\pi}{4}\big)$, and give the combinatorial structure, including the symmetry group of each tiling.

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Published

2020-12-11

Issue

Vol. 61 No. 2 (2020)

Section

Article

License

Copyright (c) 2023 Catarina P. Avelino, Altino F. Santos

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