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math.MG2017
Duality of Floating and Illumination Bodies
Olaf Mordhorst, Elisabeth M. Werner
We investigate a duality relation between floating and illumination bodies. The definitions of these two bodies suggest that the polar of the floating body should be similar to the…
math.MG2017★ 1 cited
Floating and Illumination Bodies for Polytopes: Duality Results
Olaf Mordhorst, Elisabeth M. Werner
We consider the question how well a floating body can be approximated by the polar of the illumination body of the polar. We establish precise convergence results in the case of ce…
math.MG2015★ 5 cited
New results on affine invariant points
Olaf Mordhorst
We prove a conjecture of B. Grünbaum stating that the set of affine invariant points of a convex body equals to the set of points invariant under all affine linear symmetries of th…