The Mathematics of Crochet
a year ago
- #hyperbolic-geometry
- #mathematics
- #crochet
- Crochet patterns have an underlying mathematical structure, similar to Base2 math with present stitches as '1' and missing stitches as '0'.
- Crochet has been used to illustrate hyperbolic space shapes, which are difficult to reproduce or understand in 2D.
- The partnership between math and craft dates back to ancient baskets and weavings, hinting at a mathematical subtext.
- Alan Turing knitted Möbius strips, which in crochet terms are infinity scarves.
- Hyperbolic Crochet applies mathematical principles, creating surfaces that expand exponentially, like the Barb’s Koigu Ruffle scarf.
- Dr. Daina Taimina modeled hyperbolic space using crochet in 1997, surprising mathematicians.
- Lilian Boloney uses crochet to explore hyperbolic geometry, creating sculptures like 'Boy’s surface'.
- Hyperbolic growth in nature is seen in coral, kelp, and sea anemone, inspiring the Coral Reef project by the Institute for Figuring.
- Dr. Hinke Osinga and Professor Bernd Krauskopf crocheted the Lorenz manifold, turning mathematical equations into a real-life object.
- Fractal crochet describes irregular patterns found in nature, like coastlines and trees, and is available as patterns on Ravelry.