Welcome to Fractal Forums

Fractal Math, Chaos Theory & Research => (new) Theories & Research => Topic started by: Alef on October 24, 2014, 04:08:39 PM




Title: Crocheting hyperbolic planes
Post by: Alef on October 24, 2014, 04:08:39 PM
Maybe this could go to news, but here are news, too.

(http://darlombfiberart.files.wordpress.com/2013/02/daina-taimina-crocheted-hyperbolic-plane.jpg)

(http://riga2014.org/resources/web/images/715x345/Hiperboliskas_plaknes_presene_martins_otto_(27).jpg)

It is not an easy task to describe various natural shapes by mathematical formulas. Mathematician Daina Taimina is using crochet to create hyperbolic planes. As it turns out, the handicraft helps to understand mathematics, but the ancient art of crochet acquires contemporary resonance.

Daina Taimina is Latvian mathematician, mathematical historian and artist. She was born in Riga, currently adjunct associate professor of mathematics in Cornell University (US). Crocheted first hyperbolic plane for using it in non-Euclidean geometry class in 1997.

http://riga2014.org/eng/news/53426-exhibition-hyperbolic-planes-and-sustainability-networks-opens (http://riga2014.org/eng/news/53426-exhibition-hyperbolic-planes-and-sustainability-networks-opens)

Nice description in russian. There she said that according to David Hilbert there is no analytical formula for hyperbolic surfaces and PC can't fully generate this. Not shure, maybe someone can :hmh:
http://riga2014.org/rus/news/53534-dtaiminia-i-ieie-viazanyie-ghipierbolichieskiie-ploskosti (http://riga2014.org/rus/news/53534-dtaiminia-i-ieie-viazanyie-ghipierbolichieskiie-ploskosti)