Hamiltonian Quasigeodesics yield Nets
Computational Geometry
2025-06-24 v2
Abstract
This note establishes that every polyhedron that has a Hamiltonian quasigeodesic can be edge-unfolded to a net, and shows that the class of such polyhedra is infinite.
Keywords
Cite
@article{arxiv.2206.05353,
title = {Hamiltonian Quasigeodesics yield Nets},
author = {Joseph O'Rourke},
journal= {arXiv preprint arXiv:2206.05353},
year = {2025}
}
Comments
8 pages, 5 figures, 7 references. v2 includes an infinite class of polyhedra satisfying the main theorem