Points and lines configurations for perpendicular bisectors of convex cyclic polygons
Combinatorics
2022-10-28 v3 Metric Geometry
Probability
Abstract
We characterize the topological configurations of points and lines that may arise when placing n points on a circle and drawing the n perpendicular bisectors of the sides of the corresponding convex cyclic n-gon. We also provide exact and asymptotic formulas describing a random realizable configuration, obtained either by sampling the points uniformly at random on the circle or by sampling a realizable configuration uniformly at random.
Keywords
Cite
@article{arxiv.2003.11006,
title = {Points and lines configurations for perpendicular bisectors of convex cyclic polygons},
author = {Paul Melotti and Sanjay Ramassamy and Paul Thévenin},
journal= {arXiv preprint arXiv:2003.11006},
year = {2022}
}