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The Closest Packing of Spherical Caps in n Dimensions

Published online by Cambridge University Press:  18 May 2009

R. A. Rankin
R. A. Rankin
Affiliation:
The University of Glasgow.
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Let Sn denote the “surface” of an n-dimensional unit sphere in Euclidean space of n dimensions. We may suppose that the sphere is centred at the origin of coordinates O, so that the points P(x1, x2, …, xn) of Sn satisfy

We suppose that n≥2.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 2 , Issue 3 , July 1955 , pp. 139 - 144
Copyright
Copyright © Glasgow Mathematical Journal Trust 1955

References

REFERENCES

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(3)Rankin, R. A., “On the closest packing of spheres in n dimensions”, Ann. of Math. 48 (1947), 1062–81.Google Scholar
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