Physical description 
1 online resource (xxiii, 333 pages) : illustrations (some color). 
Series 
Springer Proceedings in Mathematics & Statistics, 21941009 ; 234


Springer proceedings in mathematics & statistics ; 234. 21941009


Springer Mathematics and Statistics eBooks 2018 English+International

Contents 
The geometry of homothetic covering and illumination  Stability of the simplex bound for packings by equal spherical caps determined by simplicial regular polytopes  Vertextransitive 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  Selfinscribed regular hyperbolic honeycombs  SphereofInfluence graphs in Normed Spaces  On Symmetries of Projections and Sections of Convex Bodies  Regular Incidence Complexes, Polytopes, and CGroups. 
Bibliography 
Includes bibliographical references. 
Summary 
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, isoperimetric inequalities, and on the geometric and combinatorial aspects of linear optimization. The book is a valuable resource for researchers, both junior and senior, in the field of discrete geometry, combinatorics, or discrete optimization. Graduate students find stateoftheart surveys and an open problem collection. 
Other author 
Conder, Marston D. E., editor.


Deza, Antoine, editor.


Weiss, Asia Ivić, editor.


SpringerLink issuing body.

Subject 
Discrete geometry.


Convex geometry.


Polytopes.


Mathematical optimization.


Combinatorial analysis.


Electronic books. 
ISBN 
9783319784342 (electronic bk.) 

331978434X (electronic bk.) 

3319784331 

9783319784335 
Standard Number 
10.1007/9783319784342 
