Discrete Mathematics & Theoretical Computer Science
| 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.
If your browser does not display the abstract correctly (because of the different mathematical symbols) you can look it up in the PostScript or PDF files. |
| 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. |
| ps.gz-source: | dm070109.ps.gz (5299 K) |
| ps-source: | dm070109.ps (10032 K) |
| pdf-source: | dm070109.pdf (799 K) |
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