Hypercube point picking - unsolved?

Question

MathWorld says that picking a random point in a unit $n$-cube is an unsolved problem. Why? Isn't it enough to pick $n$ random numbers uniformly distributed in $[0, 1]$?

score 3 · Accepted Answer · answered May 28 '12 at 16:09

3

It doesn't say anything like that. It says that there is no known closed-form expression for the expected distance from a random point to a particular vertex of an $n$-cube.

answered May 28 '12 at 16:09

MJD

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Ah. So that's why they put it in the "Unsolved Problems" list? – Electro May 28 '12 at 16:11
Although one knows the asymptotics when the dimension $n\to\infty$, which is $\sqrt{n/3}$. – Did May 28 '12 at 16:18

Hypercube point picking - unsolved?

1 Answers1