Spherical f-Tilings by Two Noncongruent Classes of Isosceles Triangles
نویسندگان
چکیده
منابع مشابه
Spherical f-Tilings by Scalene Triangles and Isosceles Trapezoids III
The study of the dihedral f-tilings of the sphere S2 whose prototiles are a scalene triangle and an isosceles trapezoid was initiated in [7, 8]. In this paper we complete this classification presenting the study of all dihedral spherical f-tilings by scalene triangles and isosceles trapezoids in the remaining case of adjacency. A list containing all the f-tilings obtained in this paper is prese...
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The study of the dihedral f-tilings of the sphere S whose prototiles are an equilateral or isosceles triangle and an isosceles trapezoid was described in [6]. In this paper we generalize this classification presenting the study of all dihedral spherical f-tilings by scalene triangles and isosceles trapezoids in some cases of adjacency.
متن کاملTilings with noncongruent triangles
We solve a problem of R. Nandakumar by proving that there is no tiling of the plane with pairwise noncongruent triangles of equal area and equal perimeter. We also show that no convex polygon with more than three sides can be tiled with finitely many triangles such that no pair of them share a full side.
متن کاملSpherical Folding Tessellations by Kites and Isosceles Triangles Ii
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 tes...
متن کاملSpherical F-Tilings by Triangles and r-Sided Regular Polygons, r >= 5
The study of dihedral f-tilings of the sphere S2 by spherical triangles and equiangular spherical quadrangles (which includes the case of 4-sided regular polygons) was presented in [3]. Also, in [6], the study of dihedral f-tilings of S2 whose prototiles are an equilateral triangle (a 3-sided regular polygon) and an isosceles triangle was described (we believe that the analysis considering scal...
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ژورنال
عنوان ژورنال: JOURNAL OF ADVANCES IN MATHEMATICS
سال: 2016
ISSN: 2347-1921
DOI: 10.24297/jam.v12i3.484