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Discrete Geometry and Symmetry

Dedicated to Károly Bezdek and Egon Schulte on the Occasion of Their 60th Birthdays
BuchGebunden
333 Seiten
Englisch
Springererschienen am12.06.20181st ed. 2018
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.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR160,49
BuchGebunden
EUR160,49
E-BookPDF1 - PDF WatermarkE-Book
EUR149,79

Produkt

KlappentextThe 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.
Zusammenfassung
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 optimization

Exhibits the recent advances in various areas of discrete geometry

Fosters new interactions between different research groups

Offers state-of-the-art surveys

Commemorates the 60th birthdays of Károly Bezdek and Egon Schulte
Details
ISBN/GTIN978-3-319-78433-5
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2018
Erscheinungsdatum12.06.2018
Auflage1st ed. 2018
ReiheSpringer Proceedings in Mathematics & Statistics
Seiten333 Seiten
SpracheEnglisch
Gewicht702 g
IllustrationenXXIII, 333 p. 50 illus., 21 illus. in color.
Artikel-Nr.44485542

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr