Every Tetrahedron has a 3-vertex Quasigeodesic
Metric Geometry
2022-02-10 v2
Abstract
We prove that every tetrahedron T has a simple, closed quasigeodesic that passes through three vertices of T. Equivalently, every T has a face whose "exterior angles" are at most pi.
Cite
@article{arxiv.2109.07444,
title = {Every Tetrahedron has a 3-vertex Quasigeodesic},
author = {Joseph O'Rourke},
journal= {arXiv preprint arXiv:2109.07444},
year = {2022}
}
Comments
10 pages, 3 figures, 3 references. V2: Removed tangential claim concerning 2-vertex quasigeodesics