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Largest possible volume of the convex hull of a curve of unit length

combinatorial-geometry convex-geometry combinatorial-geometry calculus-of-variations

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asked Dec 9, 2011 at 3:47

Vladimir Reshetnikov

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Largest possible volume of the convex hull of a curve of unit length

What is the largest possible volume of the convex hull of an open/closed curve of unit length in $\mathbb{R}^3$?

combinatorial-geometry convex-geometry