I'm itching to go see the Hyperbolic Crochet Reef Project, currently showing in Chicago until December 16. According to the Chicago Reader, it's a crocheted model of the Great Barrier Reef that doubles as a model of hyperbolic space.
Doesn't it just look so cool?! I'm working on an as-yet undisclosed crocheting project (Christmas is not too far away, you know) that I think will be very cool but nothing even remotely approaching this level of creativity.
Here's an interview with Daina Taimina, a mathematician who invented hyperbolic crochet as a way of illustrating certain mathematical concepts. Like this hyperbolic pseudosphere:
Here's how Taimina describes a hyperbolic space: "The easiest way of understanding it is that it's the geometric opposite of a sphere. On a sphere, the surface curves in on itself and is closed. But on a hyperbolic plane, the surface is space that curves away from itself at every point."
I love it when art meets science.