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The Problem of the Thirteen Spheres

Published online by Cambridge University Press:  03 November 2016

John Leech
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Extract

It was conjectured by David Gregory that a sphere can touch thirteen non-overlapping spheres equal to it. In a recent paper proofs have been given that this in fact is impossible. In the present paper I outline an independent proof of this impossibility, certain details which are tedious rather than difficult being omitted.

Type
Research Article
Information
The Mathematical Gazette , Volume 40 , Issue 331 , February 1956 , pp. 22 - 23
Copyright
Copyright © Mathematical Association 1956

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References

* In an unpublished notebook at Christ Church, Oxford.

† Schütte, K. and van der Waerden, B. L., Math. Annalen 125 (1953) 325–334.CrossRefGoogle Scholar