From Symmetry Breaking to Poisson Point Process in 2D Voronoi Tessellations: the Generic Nature of Hexagons
نویسندگان
چکیده
منابع مشابه
From symmetry break to Poisson point process in 2D Voronoi tessellations: the generic nature of hexagons
We bridge the properties of the regular square and honeycomb Voronoi tessellations of the plane to those of the Poisson-Voronoi case, thus analyzing in a common framework symmetry-break processes and the approach to uniformly random distributions of tessellation-generating points. We resort to ensemble simulations of tessellations generated by points whose regular positions is perturbed through...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2008
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-007-9475-x