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A sufficient condition for an extreme covering of <i>n</i>-space by spheres

A sufficient condition for an extreme covering of <i>n</i>-space by spheres

The problem of finding the most economical coverings of n -dimensional Euclidean space by equal spheres whose centres form a lattice, which is equivalent to a problem concerning the inhomogeneous minima of positive definite quadratic forms, has been discussed recently by Barnes and Dickson [1]. The reader is referred to …