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The 3D network originated by the faces of irregular Poissonian VoronoiPolyhedrons may represent the backbone on which the galaxies are originated. Asa consequence the spatial appearance of the catalogs of galaxies can bereproduced. The selected catalogs to simulate are the 2dF Galaxy RedshiftSurvey and the Third Reference Catalog of Bright Galaxies. In order to explainthe number of observed galaxies for a given flux/magnitude as a function of theredshift, the photometric properties of the galaxies should be carefullyexamined from both the astronomical and theoretical point of view. Thestatistics of the Voronoi normalized volume is modeled by two distributions andthe Eridanus super-void is identified as the largest volume belonging to theVoronoi Polyhedron. The behavior of the correlation function for galaxies issimulated by adopting the framework of thick faces of Voronoi Polyhedrons onshort scales, while adopting standard arguments on large scales.

A geometrical model for the catalogs of galaxies