Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 49, No. 1, pp. 177193 (2008) 

Approximating $3$dimensional convex bodies by polytopes with a restricted number of edgesK. J. Böröczky, F. Fodor and V. VíghMTA Rényi Institute, 1315 Reáltanoda u., H1351 Budapest, Hungary, email: carlos@renyi.hu; Bolyai Institute, University of Szeged, 1 Aradi vértanúk tere, H6720 Szeged, Hungary, email: fodorf@math.uszegedhu email: vigvik@math.uszeged.huAbstract: We prove an asymptotic formula for the Hausdorff distance of a $3$dimensional convex body $K$ with a $C^2$ boundary and its best approximating circumscribed polytope whose number of edges is restricted. Keywords: Polytopal approximation, Hausdorff distance, circumscribed polytope Classification (MSC2000): 52A27, 52A40 Full text of the article:
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