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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