A note on generating Voronoi cells with a given size distribution

Georg Stadler; Gonzalo G. De Diego

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arXiv · 2508.06630

A note on generating Voronoi cells with a given size distribution

Georg Stadler·Gonzalo G. De Diego

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Abstract

This note describes a simple method to draw random points such that the cells of the corresponding Voronoi tesselation (approximately) satisfy a desired size distribution, for instance, follow a power law. The method is illustrated and numerically verified in two dimensions, and we also provide a simple implementation.

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Georg Stadler, Gonzalo G. De Diego. 2025-08-08. A note on generating Voronoi cells with a given size distribution. https://arxiv.org/abs/2508.06630

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