The Braids on your Blanket
History and Overview
2024-08-13 v1
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.
Keywords
Cite
@article{arxiv.2310.12192,
title = {The Braids on your Blanket},
author = {Michelle Cheng and Robert Laugwitz},
journal= {arXiv preprint arXiv:2310.12192},
year = {2024}
}
Comments
Expositional article for a general readership. 32 pages, several figures