Distribution of points on spheres and approximation by zonotopes
- Cite this article as:
- Bourgain, J. & Lindenstrauss, J. Israel J. Math. (1988) 64: 25. doi:10.1007/BF02767366
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It is proved that if we approximate the Euclidean ballBn in the Hausdorff distance up toɛ by a Minkowski sum ofN segments, then the smallest possibleN is equal (up to a possible logarithmic factor) toc(n)ε−2(n−1)/(n+2). A similar result is proved ifBn is replaced by a general zonoid inRn.