Mathematicians and artists continue to create stunning works in all media and to explore the visualization of mathematics--origami, computer-generated landscapes, tessellations, fractals, anamorphic art, and more
 

Hyperbolic Crochet :: 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)

 
Seven Shades

 

Autumn-Thanksgiving

 

Manifold in tree

 

Manifold 5

 

Manifold 2

 

Land and Sea

 

These works below were created for the "Hyperbolic Planes and Sustainability Networks" exhibit, part of the Riga 2014 – European Cultural Capital celebration.

Fuzzy Hyperbolic

Mixed fiber, approximately 60 x 60 x 40 cm. For more information see "Exhibition 'Hyperbolic Planes and Sustainability Networks' Opens.".

Blue

Acrylic, 35 cm x 30 cm x 30 cm. For more information see "Exhibition 'Hyperbolic Planes and Sustainability Networks' Opens."

Cloud

Crochet installation, 2014. For more information see "Exhibition 'Hyperbolic Planes and Sustainability Networks' Opens.".