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If $X=(x,y,z)$ is a random point uniform on the unit sphere in $\mathbb{R}^3$, Are the coordinates $x$, $y$, $z$ uniform in interval $(-1,1)$?

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    for a cube perhaps?2012-08-22
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    should use a rejection method? http://paulbourke.net/geometry/spherepoints/2012-08-22
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    I stand corrected!2012-08-22
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    Related: http://stats.stackexchange.com/questions/7977/how-to-generate-uniformly-distributed-points-on-the-surface-of-the-3-d-unit-sphe2012-08-22

3 Answers 3