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On the sausage catastrophe in 4-space
Published online by Cambridge University Press: 26 February 2010
Extract
An upper bound for the “sausage catastrophe” of dense sphere packings in 4-space is given.
A basic problem in the theory of finite packing is to determine, for a given positive integer k, the minimal volume of all convex bodies into which k translates of the unit ball Bd of the Euclidean d-dimensional space Ed can be packed ([5]). For d = 2 this problem was solved by Groemer ([6]).
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- Copyright © University College London 1992
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