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Sep 1, 2018 at 1:58 comment added Nate Eldredge I think $n+1$ is correct; remember that the $n+1$-hypersphere is the unit sphere of $\mathbb{R}^{n+2}$. It may not be super-obvious but I think it's a fairly straightforward calculus exercise.
Sep 1, 2018 at 1:39 vote accept MWB
Aug 31, 2018 at 23:25 comment added MWB @NateEldredge $n+2$ perhaps, since we want to keep $n$ numbers? It's not super-obvious that this will be uniformly distributed though.
Aug 31, 2018 at 23:23 history edited MWB CC BY-SA 4.0
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Aug 31, 2018 at 22:23 comment added Nate Eldredge Mark Meckes's accepted answer to that question answers this one too: take a random point on the $n+1$-dimensional hypersphere and drop two coordinates.
Aug 31, 2018 at 22:06 answer added Nate Eldredge timeline score: 6
Aug 31, 2018 at 21:59 history asked MWB CC BY-SA 4.0