The Diamond ensemble: a well distributed family of points on S2

We present our recent work on the Diamond ensemble, a constructive family of points on S
²
defined in [1]. Among the various characteristic of the Diamond ensemble we stand out that every set of points of the family is described by very simple formulas and that we can compute analytically also the expectation of the logarithmic energy of those sets of points. The value that we obtain for the logarithmic energy is by far, among the ones that have been proved for constructible sequences, the minimal to the date (see [2]).