Data publication: Simulation results for standard statistics of Poisson and Crofton cells

This dataset contains extensive simulation results on standard statistics of Poisson and Crofton cells, random convex polytopes arising from random tessellations of the plane or space by straight lines or planes.

The statistics recorded are (in this order) the area, boundary length and number of sides (2D) and the volume, surface area, mean width and number of sides (3D).

The data is standardized in such a way that the mean length content of the underlying (stationary and isotropic) Poisson line system per unit area (2D) or the mean area content of the underlying (stationary and isotropic) Poisson plane system per unit volume (3D) has the value 1.

The realizations of the random cells on which the data are based were generated using the Julia package: Ballani, F.: RandomCells: Julia package for the generation of random convex polytopes (Version 0.6.3). Rodare (2024). https://doi.org/10.14278/rodare.3231