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A Lower Bound for the Translative Kissing Numbers of Simplices

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(K) of a d-dimensional convex body K is the maximum number of mutually non-overlapping translates of K that can be arranged so that all touch K. In this paper we show that holds for any d-dimensional simplex (). We also prove similar inequalities for some, more general classes of convex bodies.

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Authors and Affiliations

  1. Department of Mathematics, Auburn University; 218 Parker Hall, Auburn, AL 36849-5310, USA and Department of Mathematics, The University of Michigan; East Hall, 525 East University Avenue, Ann Arbor, MI 48109-1109, USA; E-mail: talata@math.lsa.umich.edu, , , , , , US

    István Talata

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  1. István Talata
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Received May 18, 1998

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Talata, I. A Lower Bound for the Translative Kissing Numbers of Simplices. Combinatorica 20, 281–293 (2000). https://doi.org/10.1007/s004930070026

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  • DOI: https://doi.org/10.1007/s004930070026

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