Abstract
In a paper by the author and B. Weissbach it was proved that the projection body and the difference set of ad-simplex (d≥2) are polars. Obviously, ford=2 a convex domain has this property if and only if its difference set is bounded by a so-called Radon curve. A natural question emerges about further classes of convex bodies inR d (d≥3) inducing the mentioned polarity. The aim of this paper is to show that a convexd-polytope (d≥3) is a simplex if and only if its projection body and its difference set are polars.
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Martini, H. Convex polytopes whose projection bodies and difference sets are polars. Discrete Comput Geom 6, 83–91 (1991). https://doi.org/10.1007/BF02574676
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DOI: https://doi.org/10.1007/BF02574676