Determine the tetrahedron $ABCD$ so that $\frac{L}{R}$ has the maximum value, where $L=AB+AC+AD+BC+BD+CD$, and $R$ is the radius of the circumsphere of $ABCD$. sorry about my bad English ^-^
Determine tetrahedron maximizing sum of edges over radius of circumsphere
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$\begingroup$
geometry
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0@RossMillikan $I$t is natural to think that the tetrahedron maximizing the given isoperimeter is probably regular. But do you have any clue how to prove it? – 2015-02-14