Location of Repository

Volume approximation of smooth convex bodies by three-polytopes of restricted number of edges. (English summary) Monatsh. Math. 153 (2008), no. 1, 25–48. Summary: “For a given convex body K in R 3 with C 2 boundary, let P c n be the circumscribed polytope of minimal volume with at most n edges, and let P i n be the inscribed polytope of maximal volume with at most n edges. Besides presenting an asymptotic formula for the volume difference as n tends to infinity in both cases, we prove that the typical faces of P c n and P i n are asymptotically regular triangles and squares, respectively, in a suitable sense.

Topics:
Beit Algebra Geom, accepted, www.renyi.hu/∼carlos/approxface.pdf MR2364805

Year: 2011

OAI identifier:
oai:CiteSeerX.psu:10.1.1.182.9420

Provided by:
CiteSeerX

Download PDF:To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.