منابع مشابه
Packings and Approximate Packings of Spheres
Close-packings of uniformly-sized spheres with centres on various lattices are described, with volume fractions equal or close to the maximum possible = p 18 (this value has long been `known' via Kepler's conjecture, and has been proved). Regular packings with two or three sized spheres can push this volume fraction to beyond 80%. The bulk of the paper studies irregular `packings' of a large sp...
متن کاملPackings of deformable spheres.
We present an experimental study of disordered packings of deformable spheres. Fluorescent hydrogel spheres immersed in water together with a tomography technique enabled the imaging of the three-dimensional arrangement. The mechanical behavior of single spheres subjected to compression is first examined. Then the properties of packings of a randomized collection of deformable spheres in a box ...
متن کاملFinite Packings of Spheres
We show that the sausage conjecture of László Fejes Tóth on finite sphere packings is true in dimension 42 and above.
متن کاملNew Lattice Packings of Spheres
1. Introduction. In this paper we give several general constructions for lattice packings of spheres in real w-dimensional space R w and complex space C n. These lead to denser lattice packings than any previously known
متن کاملFachbereich 3 Mathematik Finite Packings of Spheres Finite Packings of Spheres
We show that the sausage conjecture of LL aszll o Fejes TT oth on nite sphere pack-ings is true in dimension 42 and above.
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1996
ISSN: 0097-3165
DOI: 10.1006/jcta.1996.0105