Packing and covering by translates of certain nonconvex bodies

@inproceedings{Everett1979PackingAC,
  title={Packing and covering by translates of certain nonconvex bodies},
  author={Hugh Everett and Dean R. Hickerson},
  year={1979}
}
We develop techniques for determining the packing and covering constants for star bodies composed of cubes. In the theory of convex sets problems of tiling, packing, and covering by translates of a given set have a long history, with the main focus on the packing and covering by spheres. Only in a few cases is the densest packing or sparsest covering known, even in the case of the sphere, except, of course, when the set happens to tile Eucidean space. In a series of papers S. K. Stein [4], [5… 
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  • 1984
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  • 1987
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  • License or copyright restrictions may apply to redistribution; see http://www.ams.org/journal-terms-of-use