Densest Packing of Equal Spheres
نویسندگان
چکیده
منابع مشابه
Densest Packing of Equal Spheres in Hyperbolic Space
We propose a method to analyze the density of packings of spheres of fixed radius in the hyperbolic space of any dimension m ≥ 2, and prove that for all but countably many radii, optimally dense packings must have low symmetry.
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We propose a deenition of density for packings of circles of xed radius in the hyperbolic plane, and prove that for all but countably many radii, optimally dense packings must have low symmetry.
متن کاملPacking non-equal spheres into containers of different shapes
The article reviews a mathematical model of the optimization problem of packing different spheres into a container which can be a cuboid, a sphere, a right circular cylinder, an annular cylinder and a spherical layer. The assumption that sphere radii are variable is exploited. Based on the hypothesis a new way to derive starting point belonging to the feasible region of the problem is offered. ...
متن کاملOn Limits of Dense Packing of Equal Spheres in a Cube
We examine packing of n congruent spheres in a cube when n is close but less than the number of spheres in a regular cubic close-packed (ccp) arrangement of dp3/2e spheres. For this family of packings, the previous best-known arrangements were usually derived from a ccp by omission of a certain number of spheres without changing the initial structure. In this paper, we show that better arrangem...
متن کاملOn the Densest Packing of Polycylinders in Any Dimension
Using transversality and a dimension reduction argument, a result of Bezdek and Kuperberg is applied to polycylinders, showing that the optimal packing density of [Formula: see text] equals [Formula: see text] for all natural numbers n.
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ژورنال
عنوان ژورنال: Nature
سال: 1947
ISSN: 0028-0836,1476-4687
DOI: 10.1038/159817a0