>Say, I want to fill a sphere uniformly with random dots; > >Either way. I don't want a uniform sphere
So you want a non-uniform sphere that's filled uniformly with dots.
The way we usually do uniform fills in POV-Ray is to calculate a random point in the box that contains the sphere and discard those that are outside the sphere. For efficiency, compare the square of the distance from the centre to avoid all those square roots.
The way we usually do non-uniform spherical fills is to use some sort of rule to generate the R parameter, then rotate the dot around the centre by rand*360 degrees on each axis.