Some characterizing properties of the si
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Horst Martini
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Article
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1989
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Springer
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English
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We shall prove that a convex body in R d (d/> 2) is a simplex if, and only if, each of its Steiner symmetrals is a convex double cone over the symmetrization space or, equivalently, has exactly two extreme points outside of this hyperplane. In I-3] it is shown that every Steiner symmetral of an arbi