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Crocheting a Hyperbolic Coral Reef

September 13, 2012

Clearly, nature is full of geometric patterns.  However, sometimes, it is difficult to model those patterns even with the aid of computers.  One such example, is hyperbolic geometry, which mathematicians believed to be nonexistent until the 19th century. Once discovered, the new challenge was how to produce a physical model of it.  Daina Taimina discovered that this could be achieved through crocheting. Currently, Margaret Wertheim and others are using crocheting pattern techniques to produce life-size coral reefs. The following are some pictures and video links:

http://sciencegallery.com/doily-pattern-animation

 

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