Knotty Knits are Tangles on Tori
Year: 2020 Authors: Shashank G. Markande; Elisabetta A. Matsumoto
Core claim
Knitted textiles can be modeled as knots and links in , and swatches plus annulus sums generate many, but not all, knitable structures.
Topics
textile topology, 2-periodic knitting, stitch algebra, swatches, knotted fabrics
Domains
knot theory, topology, braid groups, 3-manifolds, textile art, knitting, fabric design, craft
Methods
topological framework, annulus sum, ambient isotopy, swatch construction
Media
yarn, knitted fabric, slip knots, needles
Source status
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