Properties of extremal convex bodies
In 1948 Besicovitch proved that an affine image of a regular hexagon may be inscribed into an arbitrary planar convex body. We prove Besicovitch's result using a variational approach based on special approximation by triangles and generalize the Besicovitch theorem to a certain new class of hex...
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2012
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| Online Access: | http://hdl.handle.net/1993/9155 |