Topology of Supercluster-Void Structure

Abstract
It is pointed out that the cellular structure of supercluster void configuration in the universe can be understood in terms of Voronoi tessellation without using extensive numerical simulations. The Voronoi tessellation divides the space into convex polyhedra. Galaxies tend to cluster at the vertices, edges and faces of polyhedral shaped voids. Average number of faces of such polyhedra is 14 to 16. It is conjectured that four cluster chains meet at a dense cluster.

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