Knotted Polyhedral Tori
Metric Geometry
2007-07-10 v1 Combinatorics
Abstract
For every knot K with stick number k there is a knotted polyhedral torus of knot type K with 3k vertices. We prove that at least 3k-2 vertices are necessary.
Keywords
Cite
@article{arxiv.0707.1281,
title = {Knotted Polyhedral Tori},
author = {Frank H. Lutz and Nikolaus Witte},
journal= {arXiv preprint arXiv:0707.1281},
year = {2007}
}
Comments
10 pages, 7 figures