Maximum Density Space Packing with Parallel Strings of Spheres.
Mean Projections and Finite Packings of Convex Bodies.
Mehrfache gitterförmige Kreis- und Kugelanordnungen.
Metric Entropy of Homogeneous Spaces
For a precompact subset K of a metric space and ε > 0, the covering number N(K,ε) is defined as the smallest number of balls of radius ε whose union covers K. Knowledge of the metric entropy, i.e., the asymptotic behaviour of covering numbers for (families of) metric spaces is important in many areas of mathematics (geometry, functional analysis, probability, coding theory, to name a few). In this paper we give asymptotically correct estimates for covering numbers for a large class of homogeneous...
Minimum Area of Circumscribed Polygons.
Multiple Lattice Packings and Coverings of Spheres.
Multiple tilings by cubes with no shared faces.
Multiple Tilings of n-Dimensional Space by Unit Cubes.