I wonder how this would look in an eyelash yarn.

Bristol Centre for Applied Nonlinear Mathematics Publications 2004 Abstract of preprint 2004.3

I'm not sure that most crafty folks will appreciate this, but just in case you're really into crocheting and chaos theory (and not as it applies to balls of yarn and earnest kittens), here are the instructions for crocheting your very own Lorenz manifold.