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

Catarina Pina Avelino; Altino Manuel Folgado dos Santos

Vol. 19 No. 1 (2014)

Regular Articles

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

Catarina Pina Avelino
Altino Manuel Folgado dos Santos

Submission of an original manuscript to the Mathematical Communications will be taken to mean that it represents original work not previously published, that it is not being considered elsewhere for publication; and, if accepted for publication, it will be published in print and online form and it will not be published elsewhere in the same form, for commercial purposes, in any language, without the consent of the publisher. The journal takes the stance that the publication of scholarly research is meant to disseminate knowledge and, in a not-for-profit regime, benefits neither publisher nor author financially. It sees itself as having an obligation to its authors and to society to make content available online now that the technology allows for such a possibility.

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.

PDF

Supplementary File(s)

LaTeX source