Titlebook: Lagerungen; Arrangements in the László Fejes Tóth,Gábor Fejes Tóth,Włodzimierz Kup Book 20231st edition The Editor(s) (if applicable) and

Irrepressible

Extremal Properties of Regular Polyhedrapolyhedra play a special role. However, since for example in the densest packing of 12 congruent circles on the sphere, their planes bound a regular dodecahedron, the same problems can be formulated so that the regular three-valent polyhedra play a special role.

Lymphocyte

灯泡

debunk

Efficiency of Packings and Coverings with a Sequence of Convex Disksense we are interested in the opposite counterparts of the convex tiling domains. These problems appear to be quite difficult and thus far are still unsolved. In this chapter we try to take the first steps towards the solution. In Section 4.1, we solve the analogous problems for lattice-like arrangements.

玩忽职守

Miscellaneous Problems About Packing and Coveringscribed. Which arrangement of the rectangles allows for the greatest number of houses in the area? By the inequality 3.10.1, the problem is reduced to the determination of the densest lattice packing of the parallel domain of the rectangle.

blight

Problems on Packing and Covering in the PlaneThe problems of this chapter are either directly of this type, or are associated with these two central problems. Our main interest lies in the limit case, in which the number of the disks is infinite.

Perineum

迁移

BOGUS

Ball Packings in Hyperbolic SpaceIt is natural to extend the study of packing and covering problems to the hyperbolic plane, as well as hyperbolic spaces of higher dimension. Research in that direction began essentially only after the original publication of this book. Research in dimensions higher than 2 was restricted to packings of balls.

业余爱好者

Multiple ArrangementsThe literature on multiple packing and covering is relatively extensive, and it mostly deals with arrangements of congruent copies of the circular disk ..