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Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 290))

Abstract

Upper bounds are given on the maximal number, τ n , of nonoverlapping unit spheres that can touch a unit sphere in n-dimensional Euclidean space, for n ≤ 24. In particular it is shown that τ8 = 240 and τ24 = 196560.

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© 1999 Springer Science+Business Media New York

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Odlyzko, A.M., Sloane, N.J.A. (1999). Bounds on Kissing Numbers. In: Sphere Packings, Lattices and Groups. Grundlehren der mathematischen Wissenschaften, vol 290. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-6568-7_13

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  • DOI: https://doi.org/10.1007/978-1-4757-6568-7_13

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3134-4

  • Online ISBN: 978-1-4757-6568-7

  • eBook Packages: Springer Book Archive

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