
Abstract: Knitting turns yarn, a 1D material, into a 2D fabric that is flexible, durable, and can be patterned to adopt a wide range of 3D geometries. Like other mechanical metamaterials, the elasticity of knitted fabrics is an emergent property of the local stitch topology and pattern that cannot solely be attributed to the yarn itself. Thus, knitting can be viewed as an additive manufacturing technique that allows for stitch-by-stitch programming of elastic properties and has applications in many fields ranging from soft robotics and wearable electronics to engineered tissue and architected materials. However, predicting these mechanical properties based on the stitch type remains elusive. Here we untangle the relationship between changes in stitch topology and emergent elasticity in several types of knitted fabrics. We combine experiment and simulation to construct a constitutive model for the nonlinear bulk response of these fabrics. This model serves as a basis for composite fabrics with bespoke mechanical properties, which crucially do not depend on the constituent yarn.
You mean I’m doing science when I knit and I never knew? Not sure whether to be amused or appalled 🤣
Seriously though, this is a fantastic link, thank you! It’s nice to have the mechanical/scientific side of knitting recognised and given credit. People think it’s a pastime for old ladies, not an art and a practical project. I hated maths in school and I owe my maths teacher such a massive apology for not trying harder because I so regret it now, when planning garments!
I once sat in on a final year undergrad maths lecture on knots and unknots. Surprisingly easy to understand, and surprisingly easy to see what was a knot and what wasn’t, when you’re so used to looking at yarn in various configurations. And no, standard knit/purl is not a knot!
:) I don't often have time to post right now, but this paper was too good not to find time to add to the archives of ovarit. It had never occurred to me that knitting and crochet and much maligned basket weaving could be about math until I ran into an article on some of the few classes genuinely incorporating Indigenous knowledge of mathematics as well as sensible ways to teach it using Indigenous history (https://www.cbc.ca/news/indigenous/ts-msyen-indigenous-math-curriculum-cedar-weaving-1.4922447). Then I found out about Dr. Daina Taimina and her hyperbloic mathematics crochet patterns.
Personally while I still can't crochet worth a damn, though I can knit at least a passable scarf, these have been the coolest math rabbit holes ever. lol
Is it time to plug The Fabric of Civilization by Virginia Postrel again? Oh I think it is.
I grew up seeing knitting and crocheting and sewing and weaving as silly old lady crafty things. The idea that fiber crafts are high art is something most people would laugh at (I would have), let alone the idea that textiles should be considered one of the most important technological achievements of human history, but I am now prepared to back both of those arguments. Highly recommend this book for anybody who doesn't already look on fiber work with awe.