Constructing many-twist M\"obius bands with small aspect ratios
Geometric Topology
2024-04-16 v2 Differential Geometry
Abstract
This paper presents a construction of a folded paper ribbon knot that provides a constant upper bound on the infimal aspect ratio for paper M\"obius bands and annuli with arbitrarily many half-twists. In particular, the construction shows that paper M\"obius bands and annuli with any number of half-twists can be embedded with aspect ratio less than 8.
Cite
@article{arxiv.2401.14639,
title = {Constructing many-twist M\"obius bands with small aspect ratios},
author = {Aidan Hennessey},
journal= {arXiv preprint arXiv:2401.14639},
year = {2024}
}
Comments
9 pages, 11 figures Significant edits for rigor and clarity. Organizational structure and content are largely the same