کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4649262 1342447 2010 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Representing the sporadic Archimedean polyhedra as abstract polytopes
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Representing the sporadic Archimedean polyhedra as abstract polytopes
چکیده انگلیسی

We present the results of an investigation into the representations of Archimedean polyhedra (those polyhedra containing only one type of vertex figure) as quotients of regular abstract polytopes. Two methods of generating these presentations are discussed, one of which may be applied in a general setting, and another which makes use of a regular polytope with the same automorphism group as the desired quotient. Representations of the 14 sporadic Archimedean polyhedra (including the pseudorhombicuboctahedron) as quotients of regular abstract polyhedra are obtained, and summarised in a table. The information is used to characterize which of these polyhedra have acoptic Petrie schemes (that is, have well-defined Petrie duals).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 310, Issue 12, 28 June 2010, Pages 1835–1844
نویسندگان
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