Original scientific paper

Spherical folding tessellations by kites and isosceles triangles: a case of adjacency

Catarina Pina Avelino orcid.org/0000-0003-4335-0185 ; Universidade de Trás-os-Montes e Alto Douro, UTAD, Quinta de Prados, Vila Real, Portugal
Altino Manuel Folgado dos Santos ; Universidade de Trás-os-Montes e Alto Douro, UTAD, Quinta de Prados, Vila Real, Portugal

Abstract

The classification of dihedral folding tessellations of the sphere and the plane whose prototiles are a kite and an equilateral triangle are obtained in a recent paper, [1]. In this paper, we extend this classification presenting all the dihedral folding tessellations of
the sphere by kites and isosceles triangles in a particular case of adjacency. A list containing these tilings including its combinatorial structure is presented in Table 1.

Keywords

dihedral f-tilings; combinatorial properties; spherical trigonometry; symmetry groups

Hrčak ID:

121822

URI

https://hrcak.srce.hr/121822

Publication date:

26.5.2014.

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