Discrete Geometry and Symmetry

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Author(s): Conder, Marston D. E., Deza, Antoine, Weiss, Asia Ivić
Series: Dedicated to Károly Bezdek and Egon Schulte on the Occasion of Their 60th Birthdays
Publisher: SPRINGER INTERNATIONAL PU
Year: 2018

Language: English
Pages: 349
City: Place of publication not identified

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.