Discrete Geometry and Symmetry : Dedicated to Károly Bezdek and Egon Schulte on the Occasion of Their 60th Birthdays / edited by Marston D. E. Conder, Antoine Deza, Asia Ivić Weiss.
Conder, Marston D. E. editor.; Deza, Antoine. editor.; Weiss, Asia Ivić. editor.
2018
QA640.7
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Title
Discrete Geometry and Symmetry : Dedicated to Károly Bezdek and Egon Schulte on the Occasion of Their 60th Birthdays / edited by Marston D. E. Conder, Antoine Deza, Asia Ivić Weiss.
ISBN
9783319784342 (electronic book)
331978434X (electronic book)
9783319784335
DOI
https://doi.org/10.1007/978-3-319-78434-2
Published
Cham : Springer, 2018.
Language
English
Description
1 online resource (xxiii, 333 pages) : illustrations
Item Number
10.1007/978-3-319-78434-2 doi
Call Number
QA640.7
Dewey Decimal Classification
516/.13
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.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file PDF
Added Author
Conder, Marston D. E. editor.
Deza, Antoine. editor.
Weiss, Asia Ivić. editor.
Series
Springer proceedings in mathematics & statistics ; 234.
Available in Other Form
Print version: 9783319784335
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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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