A Connection between Twine String and an Elliptic Curve
Proceedings of Bridges 2025: Mathematics and the Arts
Pages 231–238
Regular Papers
Abstract
In this paper we approach the ancient craft of twining string from a new perspective. We introduce a technique to model twine string using hyperbolic crochet and learn to count on the lattice of stitches that forms a strand’s surface. We explore how the motions of twist and twine transform the strand’s lattice and compare different ways of counting. In doing so, we make a surprising connection to a specific elliptic curve.