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The densest double lattice packing of four-spheres

Published online by Cambridge University Press:  26 February 2010

A. C. Woods
A. C. Woods
Affiliation:
Ohio State University, Columbus, Ohio, U.S.A.
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Extract

In an unpublished, dissertation Cleaver [1] proved the following

Theorem 1. If L is a lattice in euclidean four-space R4 of determinant d(L) = 1 and with no pair of its points within unit distance apart then any four-sphere of radius 1 contains a point of L.

Information

Type
Research Article
Information
Mathematika , Volume 12 , Issue 2 , December 1965, pp. 138 - 142
Copyright
Copyright © University College London 1965

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References

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