Floating and Illumination Bodies for Polytopes: Duality Results
Discrete analysis (2019)
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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 centrally symmetric polytopes. This leads to a new affine invariant which is related to the cone measure of the polytope.
@article{DAS_2019_a9,
author = {Olaf Mordhorst and Elisabeth M. Werner},
title = {Floating and {Illumination} {Bodies} for {Polytopes:} {Duality} {Results}},
journal = {Discrete analysis},
year = {2019},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DAS_2019_a9/}
}
Olaf Mordhorst; Elisabeth M. Werner. Floating and Illumination Bodies for Polytopes: Duality Results. Discrete analysis (2019). http://geodesic.mathdoc.fr/item/DAS_2019_a9/