Finite Packing and Covering

Boroczky K.978-0-511-21151-5

Böröczky (Hungarian Academy of Sciences) builds from the foundation set by Tóth (Regular Figures) and Rogers (Packing and Covering) by describing arrangements of congruent convex bodies that either form a packing in a convex container or cover a convex shape, covering arrangements in dimension two (including congruent domains in the Euclidean plane, translative arrangements, parametric density, and packings and coverings of circular discs) and arrangements in higher dimensions, including packings and coverings by spherical and unit balls, and congruent convex bodies. Appendices clarify such issues as spherical space and hyperbolic space, surfaces of constant curvature, and “a little bit of probability.”