Crochet - Mathematics and Hyperbolic Crochet

Mathematics and Hyperbolic Crochet

Crochet patterns have an underlying mathematical structure—the pattern created by the regular presence or omission of stitches is the very essence of this artform. The similarities to Base2 math, with its series of 0s and 1s, are obvious. That is to say, a present stitch is like a "1", and a missing stitch is like a "0". The craft has been used to illustrate shapes in hyperbolic space that are difficult to reproduce using other media or are difficult to understand when viewed two-dimensionally. A hyperbolic model of a coral reef has also been constructed for environmental purposes

A paper model based on the pseudosphere was created by William Thurston, however, it was quite delicate. Crochet has been used by mathematician Daina Taimina in order to create a version of the hyperbolic plane. Daina Taimina used the art of crochet to create a strong, durable model (see related image), which received an exhibition by the Institute For Figuring.

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