A class of spherical dihedral f-tilings

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

  • Affiliations:
  • Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal;Department of Mathematics, E.S.T. Setúbal, 2910-761 Setúbal, Portugal;Department of Mathematics, U.T.A.D., 5001-801 Vila Real, Portugal

  • Venue:
  • European Journal of Combinatorics
  • Year:
  • 2009

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Abstract

The classification of all dihedral triangular f-tilings of the Riemannian sphere S^2 whose prototiles are an equilateral triangle and an isosceles triangle and the identification of their symmetry groups is given. We also determine their classes of isogonality and isohedrality.