A class of spherical folding subdivisions

Altino Santos

Abstract


The classification of the dihedral folding tesselations of the sphere whose prototiles are a kite and an equilateral or isosceles triangle was obtained in recent papers. In this paper we extend this classification to scalene triangles, presenting all the dihedral folding tesselations of the sphere by kites and scalene triangles in which the longest side of the kite is equal to the lower side of the triangle.

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PID: http://hdl.handle.net/10515/sy5g44j75

Contributions to Discrete Mathematics. ISSN: 1715-0868