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arXiv · 2310.12192

The Braids on your Blanket

Michelle Cheng·Robert Laugwitz
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Abstract

In this expositional essay, we introduce some elements of the study of groups by analysing the braid pattern on a knitted blanket. We determine that the blanket features pure braids with a minimal number of crossings. Moreover, we determine polynomial invariants associated to the links obtained by closing the braid patterns of the blanket.

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Michelle Cheng, Robert Laugwitz. 2023-10-18. The Braids on your Blanket. https://doi.org/10.5642/jhummath.ymzo2460

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