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Home > Daina Taimina's Hyperbolic Crochet

"Manifold II (in tree) in memory of Bill Thurston," by Daina Taimina (Cornell University, Ithaca, NY), photo © Daina Taimina

Inspired by William Thurston's paper creations back in the 1960s, I thought if something can be made out of paper, it can also be crocheted, so I made my first crocheted hyperbolic planes in June 1997 by increasing stitches in constant ratio---after every two stitches I did an increase by one stitch. The number of stitches in each row grew exponentially, so after finishing my first small, very ruffled one I realized that to explore the hyperbolic plane I have to change the ratio of increase. For classroom use the best is to use the ratio 12:13---it means to increase one stitch after every 12 single crochet stitches. See more crochet examples on my blog, Daina Taimina Fiber Sculptures --- Daina Taimina (Cornell University, Ithaca, NY)

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American Mathematical Society