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arXiv · 2401.14639

Constructing many-twist M\"obius bands with small aspect ratios

Aidan Hennessey
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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.

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Aidan Hennessey. 2024-01-26. Constructing many-twist M\"obius bands with small aspect ratios. https://arxiv.org/abs/2401.14639

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