English

Umbrellas and polytopal approximation of the euclidean ball

Metric Geometry 2008-02-03 v1 Functional Analysis

Abstract

There are two positive, absolute constants c1c_{1} and c2c_{2} so that the volume of the difference set of the dd-dimensional Euclidean ball and an inscribed polytope with n vertices is larger than c2 d n2d1vold(B2d) c_{2}\ d\ {n}^{-\frac{2}{d-1}}vol_d(B^d_2) for n(c1 d)d12n \geq (c_{1}\ d)^{\frac{d-1}{2}}.

Keywords

Cite

@article{arxiv.math/9603208,
  title  = {Umbrellas and polytopal approximation of the euclidean ball},
  author = {Yehoram Gordon and Shlomo Reisner and Carsten Schütt},
  journal= {arXiv preprint arXiv:math/9603208},
  year   = {2008}
}
R2 v1 2026-07-22T17:56:02.518Z