All-angles bisection of polygon area
Metric Geometry
2026-07-21 v1 Computational Geometry
Abstract
Given a simple polygon we aim to find the equation of the straight line which bisects the area of the polygon in a given direction. Additionally, we would like to vary this direction with minimal additional calculation. We provide a solution in the case where the polygon is `bisection-convex', meaning that any straight line bisecting the area of the polygon contains exactly two points on the boundary of the polygon.
Cite
@article{arxiv.2607.18967,
title = {All-angles bisection of polygon area},
author = {Robin Whitty},
journal= {arXiv preprint arXiv:2607.18967},
year = {2026}
}