Distribution of points on spheres and approximation by zonotopes Article DOI:
Cite this article as: Bourgain, J. & Lindenstrauss, J. Israel J. Math. (1988) 64: 25. doi:10.1007/BF02767366 Abstract
It is proved that if we approximate the Euclidean ball
B n in the Hausdorff distance up to ɛ by a Minkowski sum of N segments, then the smallest possible N is equal (up to a possible logarithmic factor) to c( n) ε −2(. A similar result is proved if n−1)/( n+2) B n is replaced by a general zonoid in R . n References
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