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Does anyone know, how many points does one need to have an $\varepsilon$-net on a unit sphere sitting in the three-dimensional Euclidean space? Thanks!

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    Do you want the exact minimum (probably not feasible), or some kind of asymptotics? It is pretty clear that the number grows like $C\epsilon^{-2}$, are you interested in the optimal $C$?2012-11-16

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