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Sunday, March 13, 2005

Hyperbolic, not Hyperbole: Crocheting can help visualize a non-Euclidean space

Euclidean Geometry

Image of a metal potholder hook loom with a completed potholder in it that is much nicer than whatever I had made as a kid.



Non-Euclidean Geometry
(in particular, hyperbolic geometry)

Crochetted model of hyperbolic space, by Daina Taimina
(More examples)


Who says crocheting isn't cool? There was a small special interest story about this in the papers, mainly because of the crocheting but without even a picture of (literally) the object of the story! Why not go to an article with thought and pictures? (Love Google!)

If you really want to dive in, then visit the paper by the authors:

Crocheting the Hyperbolic Plane

by David W. Henderson and Daina TaimiĆ°a

Figure 2. Crochet stitches for the hyperbolic plane.Figure 12. Hyperbolic reflections correspond to inversions.Figure 3. A crocheted annular hyperbolic plane.


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