Twisted Topological Tangles or- The Knot Theory of Knitting - Elisabetta Matsumoto

Explore the fascinating intersection of mathematics and knitting in this lecture by Elisabetta Matsumoto from Georgia Institute of Technology. Delve into the topological properties of knits, examining concepts such as ribbon knots, elasticity, and crossover regions. Learn about Bezier curves and stress-strain relationships in knitted fabrics. Discover how elastica models and unpitting contribute to understanding knit structures. Investigate topological defects and their impact on knitted materials. Gain insights into machine knitting techniques and specialized stitches like the cowl hitch. Understand the significance of swatches in knitting, with real-world applications exemplified through the American Apparel case study.

Intro
Welcome
Members of the group
Closeup of knitting
What is a knit
Topological properties
Ribbon knots
Elasticity
Crossover regions
Bezier curves
Stress strain curves
Elastica models
Unpitting
Topological defects
Machine knitting
Cowl hitch stitches
Question
Swatch definition
American Apparel example