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Titlebook: Discrete Geometry and Symmetry; Dedicated to Károly Marston D. E. Conder,Antoine Deza,Asia Ivić Weiss Conference proceedings 2018 Springer

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书目名称Discrete Geometry and Symmetry
副标题Dedicated to Károly
编辑Marston D. E. Conder,Antoine Deza,Asia Ivić Weiss
视频video
概述Presents a snapshot of a rapidly evolving area on the boundary of discrete geometry and optimization.Includes a wide range of open problems connecting discrete geometry to combinatorics and optimizati
丛书名称Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Discrete Geometry and Symmetry; Dedicated to Károly  Marston D. E. Conder,Antoine Deza,Asia Ivić Weiss Conference proceedings 2018 Springer
描述This book consists of contributions from experts, presenting a fruitful interplay between different approaches to discrete geometry. Most of the chapters were collected at the conference “Geometry and Symmetry” in Veszprém, Hungary from 29 June to 3 July 2015. The conference was dedicated to Károly Bezdek and Egon Schulte on the occasion of their 60th birthdays, acknowledging their highly regarded contributions in these fields..While the classical problems of discrete geometry have a strong connection to geometric analysis, coding theory, symmetry groups, and number theory, their connection to combinatorics and optimization has become of particular importance. The last decades have seen a revival of interest in discrete geometric structures and their symmetry.  The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory and geometry, combinatorial group theory, and hyperbolic geometry and topology. This book contains papers on new developments in these areas, including convex and abstract polytopes and their recent generalizations, tiling and packing, zonotopes, isoperime
出版日期Conference proceedings 2018
关键词discrete geometry; symmetry groups; polytopes; combinatorics; linear optimization
版次1
doihttps://doi.org/10.1007/978-3-319-78434-2
isbn_softcover978-3-030-08697-8
isbn_ebook978-3-319-78434-2Series ISSN 2194-1009 Series E-ISSN 2194-1017
issn_series 2194-1009
copyrightSpringer International Publishing AG, part of Springer Nature 2018
The information of publication is updating

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The Twist Operator on Maniplexes, to higher dimensions. Since the twist on a maniplex preserves all the orientation preserving symmetries of the original maniplex, we apply the operation to reflexible maniplexes, to attack the problem of finding chiral polytopes in higher dimensions.
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,Pascal’s Triangle of Configurations,. As an interesting consequence, we show that all these configurations are connected to incidence theorems, like in the classical case of Desargues. We also show that these configurations can be represented not only by points and lines, but points and circles, too.
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,An Algorithm for Classification of Fundamental Polygons for a Plane Discontinuous Group,l it Poincaré-Delone problem to honour of Henry Poincaré and Boris Nikolaevich Delone (Delaunay). We give examples and computations together with some complete lists of combinatorially different polygons which serve as fundamental domains for the groups with the Macbeath signatures, e.g. .,. and ..
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