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On the sausage catastrophe in 4-space

Published online by Cambridge University Press:  26 February 2010

Pier Mario Gandini
Affiliation:
Dipartimento di Matematica, Università di Torino, Via Carlo Alberto, 10, 10123 Torino, Italy.
Andreana Zucco
Affiliation:
Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy.

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]).

Type
Research Article
Copyright
Copyright © University College London 1992

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References

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