Symmetry-Break in Voronoi Tessellations

Symmetry-Break in Voronoi Tessellations

We analyse in a common framework the properties of the Voronoi tessellations resulting from regular 2D and 3D crystals and those of tessellations generated by Poisson distributions of points, thus joining on symmetry breaking processes and the approach to uniform random distributions of seeds. We pe...

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Bibliographic Details
Main Author: Valerio Lucarini
Format: Article
Language:English
Published: MDPI AG 2009-08-01
Series:Symmetry
Subjects:
Voronoi tessellation
numerical simulations
random geometry
symmetry break
topological stability
Poisson point process
Desch law
Lewis law
cubic crystals
simple cubic
face-centred cubic
body-centred cubic
Gaussian noise
anomalous scaling
isoperimetric quotient
fluctuations
Kelvin's conjecture
Kepler's conjecture
Kendall’s conjecture
Online Access:http://www.mdpi.com/2073-8994/1/1/21/

Internet

http://www.mdpi.com/2073-8994/1/1/21/

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