Discrete Geometry and Symmetry

Dedicated to Károly Bezdek and Egon Schulte on the Occasion of Their 60th Birthdays

AvMarston D. E. Conder,Antoine Deza

Häftad, Engelska, 2019

Del 234 i serien Springer Proceedings in Mathematics & Statistics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2019-02-01
Mått:155 x 235 x 20 mm
Vikt:546 g
Format:Häftad
Språk:Engelska
Serie:Springer Proceedings in Mathematics & Statistics
Antal sidor:333
Förlag:Springer Nature Switzerland AG
ISBN:9783030086978

Utforska kategorier

Optimering inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Diskret matematik inom Naturvetenskap och teknik

Innehållsförteckning

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.