The statistical way of approaching this problem is to sample from a Von-Mises Fisher distribution with k=0: https://en.wikipedia.org/wiki/Von_Mises%E2%80%93Fis

The statistical way of approaching this problem is to sample from a Von-Mises Fisher distribution with k=0: https://en.wikipedia.org/wiki/Von_Mises%E2%80%93Fisher_distribution https://en.wikipedia.org/wiki/Von_Mises%E2%80%93Fisher_distr...