Fragmenting the universe. II  Voronoi vertices as Abell clusters
Abstract
The largescale structure of the Universe (around 50 Mpc) can be described by means of "Voronoi foam", which is a partitioning of space obtained by a process called Voronoi tessellation. We present the first results of a comparison between the statistics of Voronoi foams and the observed galaxy distribution. In particular, we show that the spatial twopoint correlation function of Voronoi vertices has a power law behaviour with almost the same amplitude and slope as that of the Abell clusters. This confirms our earlier expectations that Voronoi nodes are to be identified with highdensity galaxy clusters in the Universe.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 April 1989
 Bibcode:
 1989A&A...213....1V
 Keywords:

 Astronomical Models;
 Cosmology;
 Galactic Clusters;
 Partitions (Mathematics);
 Statistical Correlation;
 Universe;
 Fragmentation;
 Hubble Constant;
 Mass Distribution;
 Astrophysics