# Mathematics of textiles


Smith and Skinner Loom for Moquette Carpets.

A side on divergence into braid theory and 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.

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

## References

Berger, Mitchell Anthony, Renzo L. Ricca, and Centro internazionale matematico estivo, eds. 2009. In 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. Berlin: Springer.
Gailiunas, Paul. 2017. Mad Weave.” Journal of Mathematics and the Arts 11 (1): 40–58.
Irvine, Veronika, and Frank Ruskey. 2014. Journal of Mathematics and the Arts 8 (3-4): 95–110.
Jawed, M. K., P. Dieleman, B. Audoly, and P. M. Reis. 2015. Physical Review Letters 115 (11): 118302.
Kovačević, Stana, and Ivana Schwarz. 2015. Cutting Edge Research in Technologies, October.
Roberts, Siobhan. 2019. The New York Times, May 17, 2019, sec. Science.

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