Willkommen, schön sind Sie da!
Logo Ex Libris

Discrete Geometry and Symmetry

  • Kartonierter Einband
  • 360 Seiten
(0) Erste Bewertung abgeben
Bewertungen
(0)
(0)
(0)
(0)
(0)
Alle Bewertungen ansehen
This book consists of contributions from experts, presenting a fruitful interplay between different approaches to discrete geometr... Weiterlesen
20%
197.00 CHF 157.60
Print on Demand - Auslieferung erfolgt in der Regel innert 4 bis 6 Wochen.
Bestellung & Lieferung in eine Filiale möglich

Beschreibung

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 state-of-the-art surveys and an open problem collection.




Autorentext




Inhalt

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.

Produktinformationen

Titel: Discrete Geometry and Symmetry
Untertitel: Dedicated to Károly Bezdek and Egon Schulte on the Occasion of Their 60th Birthdays
Editor:
EAN: 9783030086978
ISBN: 3030086976
Format: Kartonierter Einband
Herausgeber: Springer International Publishing
Anzahl Seiten: 360
Gewicht: 546g
Größe: H235mm x B155mm x T19mm
Jahr: 2019
Auflage: Softcover reprint of the original 1st ed. 2018

Weitere Produkte aus der Reihe "Springer Proceedings in Mathematics & Statistics"