2021
DOI: 10.3390/sym13030431
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Construction of Unknotted and Knotted Symmetric Developable Bands

Abstract: We describe a method for constructing developable bands with N≥3 half twists. Each band is formed by threading a flat rectangular strip through a scaffold made from identical circular cylinders and smoothly connecting its short ends. The N cylinders in a scaffold are arranged with N-fold rotational symmetry. The number of half twists in a band is equal to the number N of cylinders in its scaffold and each band inherits the symmetry of its scaffold. Each scaffold admits a family of bands of the same length but … Show more

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