Monday, October 15, 2007

Crochet the Lorenz attractor

Once an obscure diagram in dynamical systems, then the world-famous butterfly-resembling, butterfly-effect-causing Lorenz attractor - now you can crochet it. (Here's the original paper in PDF.)

About Lorenz and his attractor: more to come. Chaos: it's not just for physics nerds any more.

POSTSCRIPT: It's been pointed out to me that the crochet pattern is actually the Lorenz stable manifold, a two-dimensional reduction of the attractor. The attractor itself can't be crocheted. While the stable manifold is a reduction, it is nonetheless invariant under the flow. Trajectories don't cross it, and it encloses the full attractor in an invariant way.

Lorenz attractor

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