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http://hdl.handle.net/10662/8974
Title: | More indecomposable polyhedra |
Authors: | PrzesŁawski, Krzysztof Yost, David |
Keywords: | Polytope;Decomposable;Politopo;Descomponible |
Issue Date: | 2016 |
Publisher: | Universidad de Extremadura |
Abstract: | We apply combinatorial methods to a geometric problem: the classification of polytopes, in terms of Minkowski decomposability. Various properties of skeletons of polytopes are exhibited, each sufficient to guarantee indecomposability of a significant class of polytopes. We illustrate further the power of these techniques, compared with the traditional method of examining triangular faces, with several applications. In any dimension d≠2, we show that of all the polytopes with d^2 + ½d or fewer edges, only one is decomposable. In 3 dimensions, we complete the classification, in terms of decomposability, of the 260 combinatorial types of polyhedra with 15 or fewer edges. |
URI: | http://hdl.handle.net/10662/8974 |
Appears in Collections: | Extracta Mathematicae Vol. 31, nº 2 (2016) |
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2605-5686_31_2_169.pdf | 334,24 kB | Adobe PDF | View/Open |
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