TL;DR
This paper explores crochet as a mathematical tool for creating precise, flexible two-dimensional surfaces with various curvatures, highlighting its advantages over other shape-generation methods.
Contribution
It introduces crochet as a novel method for modeling and constructing complex surfaces with controlled curvature in a mathematical context.
Findings
Crochet allows for precise control of surface curvature.
It is more flexible than traditional shape-generation processes.
Crochet can produce flat, spherical, and hyperbolic surfaces with high accuracy.
Abstract
Crochet provides a superior method for the production of two-dimensional surfaces from one-dimensional material. Compared to any of the other known processes to generate constant flat, spherical or hyperbolic shapes, it is the most flexible and precise way to build a dynamical system with very simple local rules and with very high precision of the intrinsic curvature.
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