Mean distance in polyhedra
Probability
2023-09-29 v1 Metric Geometry
Abstract
Given any polyhedron from which we select two random points uniformly and independently, we show that all the moments of the distance between those points can be always written in terms of elementary functions. As an illustration, the mean distance is found in the exact form for all Platonic solids.
Keywords
Cite
@article{arxiv.2309.13177,
title = {Mean distance in polyhedra},
author = {Dominik Beck},
journal= {arXiv preprint arXiv:2309.13177},
year = {2023}
}