A Constructive Finite Field Method for Scattering Points on the Surface of $d$-Dimensional Spheres

Abstract

In this exploratory article, we present a constructive method for scattering points on the surface of $d$ dimensional spheres which we believe is new and of interest. Indeed, the problem of uniformly distributing points on spheres is an interesting and difficult problem with vast applications in fields as diverse as crystallography, approximation theory, computational complexity, molecular structure, and electrostatics.