Random points on a unit sphere without biasing

[Alan Jones <skyphyr(at)gmail.com>]

Hi All,

This is to the maths geniuses in the room. I want to generate X number
of points on a unit sphere, but be sure I won't have any biasing
involved.

My first thought was just to use a couple of random numbers (let's
assume they don't have any bias) and then use those with a few sin and
cos function etc to generate the points. Though I have a feeling that
would give me more points around the poles.

Anyone have some good suggestions?

Cheers,

Alan.

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