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Volume approximation of convex bodies by polytopes - a constructive method

Yehoram Gordon, Mathieu Meyer, Shlomo Reisner (1994)

Studia Mathematica

Algorithms are given for constructing a polytope P with n vertices (facets), contained in (or containing) a given convex body K in d , so that the ratio of the volumes |K∖P|/|K| (or |P∖K|/|K|) is smaller than f ( d ) / n 2 / ( d - 1 ) .

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