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Hyperbolic planes are one of my favorite things to knit and crochet! After reading up on the initial theory, I was hooked on the concept. Above is a family picture of all my hyperbolic planes, and I've put some solo shots below. Check out this page for my explanation and demonstration of the properties of hyperbolic space. Check out this page to learn about hyperbolic pants!
Probably my favorite hyperbolic plane I've made. I love the bright color and how tight the radius is.
This was my first shot at using knitting to make a hyperbolic surface. It's tiny and you can't even tell what it is.
This is my second attempt at using knitting for this, after learning that I needed to start on the biggest circular needles I had. This one's apparently called a psuedosphere!