# Covering Spheres with Spheres

@article{Dumer2007CoveringSW, title={Covering Spheres with Spheres}, author={I. Dumer}, journal={Discrete & Computational Geometry}, year={2007}, volume={38}, pages={665-679} }

Abstract
Given a sphere of any radius r in an n-dimensional Euclidean space, we study the coverings of this sphere with solid spheres of radius one. Our goal is to design a covering of the lowest covering density, which defines the average number of solid spheres covering a point in a bigger sphere. For growing dimension n, we design a covering that gives the covering density of order (nln n)/2 for a sphere of any radius r>1 and a complete Euclidean space. This new upper bound reduces two times… CONTINUE READING

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Covering spheres with spheres

- 2007