Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

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 $[0, 1]$?

share|cite|improve this question
Hm? Why the downvote? I think it's perfectly possible to have been confused by the "Foundations of Mathematics > Mathematical Problems > Unsolved Problems" at the top. – Electro May 28 '12 at 16:13
Related. – Did May 28 '12 at 16:16
up vote 3 down vote accepted

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.

share|cite|improve this answer
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

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.