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Covering space with equal spheres

Published online by Cambridge University Press:  26 February 2010

H. S. M. Coxeter ,
L. Few  and
C. A. Rogers
H. S. M. Coxeter
Affiliation:
The University of Toronto. University College, London.
L. Few
Affiliation:
The University of Toronto. University College, London.
C. A. Rogers
Affiliation:
The University of Toronto. University College, London.
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Extract

In a recent paper Rogers [13] has discussed packings of equal spheres in n-dimensional space and has shown that the density of such a packing cannot exceed a certain ratio σn. In this paper, we discuss coverings of space with equal spheres and, by using a method which is in some respects dual to that used by Rogers, we show that the density of such a covering must always be at least

Type
Research Article
Information
Mathematika , Volume 6 , Issue 2 , December 1959 , pp. 147 - 157
Copyright
Copyright © University College London 1959

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