A simple way to generate random points on a sphere

A simple way to generate random points on a sphere

I recently ran across a simple way to generate random points uniformly distributed on a sphere: Generate random points in a cube until you get one inside the sphere, then push it to the surface of the sphere by normalizing it [1]. In more detail, to generate random points on the unit sphere, generate triples (u1, u2, u3) of independent random values uniformly generated on [−1, 1] and compute the sum of there squares S² = u1² + u2² + u3² If S² > …