A note on generating Voronoi cells with a given size distribution
Numerical Analysis
2025-08-12 v1 Statistical Mechanics
Numerical Analysis
Probability
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.
Cite
@article{arxiv.2508.06630,
title = {A note on generating Voronoi cells with a given size distribution},
author = {Georg Stadler and Gonzalo G. De Diego},
journal= {arXiv preprint arXiv:2508.06630},
year = {2025}
}