Discrete Geometry and Symmetry Dedicated to Károly Bezdek and Egon Schulte on the Occasion of Their 60th Birthdays /

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...

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Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Springer Proceedings in Mathematics & Statistics, 234
Témata:
Convex geometry .
Discrete geometry.
Combinatorics.
Polytopes.
Mathematical optimization.
ISBN:9783319784342
ISSN:2194-1009 ;
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Obsah:
  • The geometry of homothetic covering and illumination
  • Stability of the simplex bound for packings by equal spherical caps determined by simplicial regular polytopes
  • Vertex-transitive Haar graphs that are not Cayley graphs
  • On the Volume of Boolean Expressions of Large Congruent Balls
  • Small Primitive Zonotopes
  • Delone Sets: Local Identity and Global Symmetry
  • The Twist Operator on Maniplexes
  • Hexagonal Extensions of Toroidal Maps and Hypermaps
  • Noncongruent Equidissections of the Plane
  • Pascal's triangle of configurations
  • Volume of Convex Hull of Two Bodies and Related Problems
  • Integers, Modular Groups, and Hyperbolic Space
  • Monge points, Euler lines, and Feuerbach spheres in Minkowski spaces
  • An Algorithm for Classification of Fundamental Polygons for a Plane Discontinuous Group
  • Self-inscribed regular hyperbolic honeycombs
  • Sphere-of-Influence graphs in Normed Spaces
  • On Symmetries of Projections and Sections of Convex Bodies
  • Regular Incidence Complexes, Polytopes, and C-Groups.

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