Discrete Geometry and Symmetry

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

Häftad, Engelska, 2019

AvMarston D. E. Conder,Antoine Deza,Asia Ivić Weiss,Asia Ivic Weiss,Asia Ivi¿ Weiss

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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

Utgivningsdatum2019-02-01
Mått155 x 235 x 20 mm
Vikt546 g
FormatHäftad
SpråkEngelska
SerieSpringer Proceedings in Mathematics & Statistics
Antal sidor333
FörlagSpringer Nature Switzerland AG
ISBN9783030086978

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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.