Spherical F-Tilings by Triangles and $r$-Sided Regular Polygons, $r \ge 5$
نویسندگان
چکیده
منابع مشابه
Spherical 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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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.
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The study of dihedral f-tilings of the Euclidean sphere S2 by triangles and rsided regular polygons was initiated in 2004 where the case r = 4 was considered [5]. In a subsequent paper [1], the study of all spherical f-tilings by triangles and r-sided regular polygons, for any r ≥ 5, was described. Later on, in [3], the classification of all f-tilings of S2 whose prototiles are an equilateral t...
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In Tilings and Patterns, Grünbaum and Shephard claim that there are only four kuniform tilings by regular polygons (for some k) that have a dodecagon incident at every vertex. In fact, there are many others. We show that the tilings that satisfy this requirement are either the uniform 4.6.12 tiling, or else fall into one of two infinite classes of such tilings. One of these infinite classes can...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2008
ISSN: 1077-8926
DOI: 10.37236/746