  We review the model of the Voronoi Diagrams which allows to reproduce the
large-scale structures of our universe as given by the astronomical catalogs.
The observed number of galaxies in a given solid angle with a chosen
flux/magnitude versus the redshift presents a maximum that is a function of the
flux/magnitude ; it can be explained by a detailed analysis of the standard
luminosity function for galaxies as well by two new luminosity function for
galaxies. The current status of the research on the statistics of the Voronoi
Diagrams is reviewed.
