Journal of Statistical Physics

, Volume 30, Issue 3, pp 591–605 | Cite as

Voronoi cell properties from simulated and real random spheres and points

  • Howard G. Hanson


Results are reported of a computer-aided study of the properties of Voronoi cells generated from randomly placed impenetrable uniform spheres which saturate a space and of Poisson points in three-dimensional space. An empirical expression is suggested for the volume distribution function and an expression for the probability of thenth nearest neighbor of a Voronoi cell nucleus forming a cell face. Comparison is made with the work of Meijering [Philips Res. Rep.8:270 (1953)], Finney [Proc. R. Soc. (London)A319:479, 495 (1970)], Kiang [Z. Astrophys.64:433 (1966)], and others. Radial distributions, coordination number, and packing density are discussed for the spheres.

Key words

Voronoi cell tesselation Poisson random spheres packing density 


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Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • Howard G. Hanson
    • 1
  1. 1.Department of PhysicsUniversity of MinnesotaDuluth, Duluth

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