Discrete Geometry and Symmetry

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

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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.