Dihedral f-tilings of the sphere by rhombi and trianglesReport as inadecuate

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1 Departamento de Matematica Aveiro 2 Department of Mathematics Vila Real

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.

Keywords : WCSQ spherical trigonometry dihedral tilings isometric foldings

Author: Ana Breda - Altino F. Santos -

Source: https://hal.archives-ouvertes.fr/


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