Reflections of planar convex bodies

Published 2 Apr 2015 in math.MG | (1504.00541v1)

Abstract: It is proved that every convex body in the plane has a point such that the union of the body and its image under reflection in the point is convex. If the body is not centrally symmetric, then it has, in fact, three affinely independent points with this property.

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Rolf Schneider

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