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Beadwork Hyperbolic Plane
To take a break from balloon hyperbolic planes, I made this one out of beads. Each bead represents the edge of a pentagon in the uniform tiling of four pentagons around each point. Beadwork hyperbolic planes have been made by others, though I couldn't find any existing examples of a close-knit uniform tiling like this. It's quite nice to play with. If anyone knows of any other examples of hyperbolic planes made out of beads, let me know!

I consider this a rough test for future mathematical beadwork, hopefully with nicer beads, colour patterns, and artistry. I was inspired to pursue mathematical beadwork by some of the very beautiful models I saw at BRIDGES this year, notably the works by Laura Shea and Bih-Yaw Jin. There are also some connections between computational balloon twisting and computational beadwork (if you wanted to minimize the length of the path the string takes).

— posted Thursday, August 05, 2010 at 09:32PM EDT