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I crocheted a series of hyperbolic planes and strung them up into a garland. Each module is one more round than the one before, and each round has twice the stitches as the round before.
I made eight iterations; the largest one took an entire skein of cotton yarn. I really liked how this shows the change in curvature as cross section of the plane expands.
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Hyperbolic crochet around a point:Â http://www.crochetbug.com/hyperbolic-swag-where-martha-stewart-meets-geometry/
My first crochet project: a hyperbolic plane.
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Experiments in Processing: hyperbolic flower
Growing a hyperbolic plane. Don’t overwater.
Just a simple experiment/proof of concept: I progressively add rings to the surface with a number of points proportional to sinh(distance from center). The graph is “relaxed” with a force-based algorithm. Kind of an electronic equivalent of the Institute for Figuring’s hyperbolic crocheting.
Hyperbolic crochet, one of the coolest and nerdiest things I’ve ever seen done with yarn.Â
Experiments in Processing: curious eels in hyperbolic sea.
I love hyperbolic geometry, heptagons, and Escher.
The eels move on the sides of a triheptagonal tiling of the hyperbolic plane in the Poincaré disk model. You better appreciate this because getting the coordinates is a real pain in the *** (done with a python script, <a href=“https://github.com/rantonels/poincare“>source</a>).
BONUS: nauseating Moebius translation.
