A Generalization in Space of Jung's Theorem

Details A Generalization in Space of Jung's Theorem A Generalization in Space of Jung's Theorem

2006-10-17

arxiv.org/abs/math/0610530v2

Gazeta Matematica, Bucharest, Nos. 9-10-11-12, p. 352, 1992

Mathematics

General Mathematics

2 pages only

Scientific paper

Let's have $n$ points in the space such that the maximum distance between any
of them is $a$. We prove that there exists a sphere of radius $r \leq a
\frac{\sqrt(6)}{4}$ that contains in its interior or on its surface all these
points. [This is a generalization of Jung's theorem that he designed for a
plane.]

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