Spherical Folding Tessellations by Kites and Isosceles Triangles Ii
نویسندگان
چکیده
Abstract: The classification of the dihedral folding tessellations of the sphere and the plane whose prototiles are a kite and an equilateral triangle were obtained in a recent paper, [1]. Concerning to isosceles triangles the classification is much harder, which is not surprising since more angles are involved. 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 presentes in Table 1.
منابع مشابه
Geometric and combinatorial structure of a class of spherical folding tesselations - II
The classification of the dihedral folding tessellations of the sphere whose prototiles are a kite and an equilateral or isosceles triangle was recently achieved. In this paper we complete the classification of spherical folding tessellations by kites and scalene triangles, where the shorter side of the kite is equal to the longest side of the triangle, initiated in [C.P. Avelino and A.F. Santo...
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