# Mathematics of textiles

October 14, 2019 — August 20, 2020

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A side-on divergence into braid theory, jacquard weaving, and lace. Connections with computer science via jacquard looms, algebra, and topology via braid theory.

I’m less interested in crocheting hyperbolic surfaces, although I acknowledge that this is probably the most prominent thing that these keywords call to mind these days. Basically, I’d like to know just a little more about what kind of fishnet stockings I can code up on an industrial weaving machine and what I can know about their properties.

Elisabetta Matsumoto and others at the APS Meeting on fabrics.

Veronika Irvine’s model of bobbin lace.

The Flexible Structure Laboratory.

Also, basic but handy, digital embroidery via EmbroidePy and PEmbroider.

## 1 Shoelace specialization

## 2 References

*Lectures on Topological Fluid Mechanics: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, July 2-10, 2001*. Lecture Notes in Mathematics 1973.

*Journal of Mathematics and the Arts*.

*Journal of Mathematics and the Arts*.

*Physical Review Letters*.

*Cutting Edge Research in Technologies*.

*Journal of Mathematics and the Arts*.

*TEXTILE*.

*The New York Times*.