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Constructing many-twist Möbius bands with small aspect ratios (2401.14639v2)
Published 26 Jan 2024 in math.GT and math.DG
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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