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Multiple packing of spherical caps

Published online by Cambridge University Press:  26 February 2010

N. M. Blachman  and
L. Few
N. M. Blachman
Affiliation:
Electronic Defense Laboratory, P.O. Box 205, Mountain View, California.
L. Few
Affiliation:
University College London, Gower Street, London, W.C.I..
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Extract

Let be a set of points on a sphere, centre O, radius R, in (n+1)– dimensional space. Suppose a spherical cap of angular radius α≤½π is centred at each point of . Let k be a positive integer and suppose that no point of the sphere is an inner point of more than k caps. We say that provides a k–fold packing for caps of radius α.

Type
Research Article
Information
Mathematika , Volume 10 , Issue 1 , June 1963 , pp. 84 - 88
Copyright
Copyright © University College London 1963

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References

1. Rankin, R. A., Proc. Glasgow Math. Assoc, 2 (1955), 139–144.CrossRefGoogle Scholar
2. Few, L., Journal London Math. Soc. In course of publication.Google Scholar
3. Blachman, N. M., I.R.E. Trans, on Information Theory IT–8 (Sept. 1962), pp. S53–57.Google Scholar