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How can find the 2D Voronoi cell area distribution?

I need to find the area distribution function of the 2D Voronoi cells in Mathematica version 11 and later. My old instructions for Mathematica 9 don’t work anymore. How can I do it? The post How can...

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How Voronoi Tessellations and Scutoids can help in computation?

Recently I came across a computerphile video https://www.youtube.com/watch?v=FGiBHsUkVzU about the use of Voronoi Tessellations and Scutoids in computation. But the video just explains what are Voronoi...

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Voronoi diagram and break point

In Voronoi diagram and Fortune’s theorem, it is stated that break points can move upward (*). How is this so? In most of the cases I can think of, break points always move downward. I couldn’t easily...

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Delaunay to Voronoi … and back?

Learning about Voronoi Diagrams, one quickly finds out that Delaunay Triangulations are clearly the easiest way to generate them from a set of points. How about the other way around? Given a...

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A Smooth and Round Voronoi Mesh

I want the edges of a VoronoiMesh to be smooth and round. I have found the following code from this answer arcgen[{p1_, p2_, p3_}, r_, n_] := Module[{dc = Normalize[p1 - p2] + Normalize[p3 - p2], cc,...

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