Approximation of Convex Bodies and a Momentum Lemma for Power Diagrams |
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| Authors: | Károly Böröczky Jr. Monika Ludwig |
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| Affiliation: | Academy of Sciences, Budapest, Hungary, HU
Technische Universit?t Wien, Austria, AT
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| Abstract: | The volume of the symmetric difference of a smooth convex body in and its best approximating polytope with n vertices is asymptotically a constant multiple of . We determine this constant and the similarly defined constant for approximation with a given number of facets by solving two isoperimetric problems for planar tilings. Received 15 May 1997; in revised form 14 August 1997 |
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| Keywords: | 1991 Mathematics Subject Classification: 52C20 52A27 |
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