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Thin non-lattice covering with an affine image of a strictly convex body
Published online by Cambridge University Press: 26 February 2010
Abstract
We prove that for every strictly convex body C in the Euclidean space of dimension d≥3, some aflfine image of C admits a non-lattice covering of the space, thinner than any lattice covering. We illustrate the general construction with an example of a thin non-lattice covering of with certain congruent ellipsoids.
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- Copyright © University College London 1995
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