Random Points in an n-Dimensional Hypersphere

This creates a set of random points defined by Cartesian coordinates and uniformly distributed over the interior of an n-dimensional hypersphere of radius r with center at the origin.

The 'randn' function is first used to create independent multivariate normally distributed sets of n random variables, each representing points in n-dimensional space. The incomplete gamma function, 'gammainc', is then used to map these points radially to the interior of an n-dimensional hypersphere of finite radius r in such a way as to be spatially uniformly distributed.