Discrete Mathematics & Theoretical Computer Science, Vol 7 (2005)

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DMTCS vol 7 no 1 (2005), pp. 123-140

Discrete Mathematics & Theoretical Computer Science


Volume 7 n° 1 (2005), pp. 123-140

author:Ana M. Breda and Altino F. Santos
title:Dihedral f-tilings of the sphere by rhombi and triangles
keywords:dihedral tilings, isometric foldings, spherical trigonometry, WCSQ
abstract:We classify, up to an isomorphism, the class of all dihedral f-tilings of S{2}, whose prototiles are a spherical triangle and a spherical rhombus. The equiangular case was considered and classified in Ana M. Breda and Altino F. Santos, Dihedral f-tilings of the sphere by spherical triangles and equiangular well-centered quadrangles. Here we complete the classification considering the case of non-equiangular rhombi.

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reference: Ana M. Breda and Altino F. Santos (2005), Dihedral f-tilings of the sphere by rhombi and triangles, Discrete Mathematics and Theoretical Computer Science 7, pp. 123-140
bibtex:For a corresponding BibTeX entry, please consider our BibTeX-file.
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Automatically produced on Thu Jun 2 21:22:24 CEST 2005 by falk