Irrepressible
发表于 2025-3-28 15:27:01
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
发表于 2025-3-28 19:22:39
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灯泡
发表于 2025-3-29 02:52:31
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debunk
发表于 2025-3-29 04:42:49
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
发表于 2025-3-29 07:50:24
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
发表于 2025-3-29 12:59:32
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
发表于 2025-3-29 17:25:05
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迁移
发表于 2025-3-29 20:43:03
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BOGUS
发表于 2025-3-29 23:53:30
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
发表于 2025-3-30 05:52:27
Multiple ArrangementsThe literature on multiple packing and covering is relatively extensive, and it mostly deals with arrangements of congruent copies of the circular disk ..