Equidistributed icosahedral configurations on the sphere

We present and analyze a new sequence of equidistributed icosahedral configurations. These configurations are created by combining the (m,n) icosahedral nodes of Caspar and Klug and adapting the azimuthal projection method of Snyder to create a low deformation equal area mapping from the regular icosahedron to S2. We prove an upper bound on the mesh ratio of these configurations and analyze numerically the Riesz potential energies of the point sets of size N<50,000.