Hi--I'm a beadweaver located in Panama City, FL. Here I'm trying to put down where my ideas are headed, and what I'm working on creatively. You can see more of my work at emiliepritchard.com
Thursday, July 8, 2010
Sierpinski spheres
This is a bit more on my Sierpinski-ish structures. The blue ball I showed before isn't a Sierpinski one because the small units are dodecahedrons and the overall ball is a buckyball. You could, of course make each of the small ball units buckyballs, but that would take more work than I wanted to do. I did try to go the other way and use small dodecahedron balls as units to make a large dodecahedron. I couldn't do it. The small goldish hemisphere was my attempt. The problem is that 5 dodecahedrons don't really want to make a circle. I don't know enough trig (or, for that matter any trig) to know what the angles are, but when you make it you have to pull it together some to get a circle out of 5 spheres. It wants to be 5 and some fraction spheres. You can do it fine for the first (bottom) circle, and the 5 circles that adjoin it, but after that it's too far off. The only way I could create that sort of structure was to link the adjoining balls with a small 5-sided "tube" of beads to give me a little wiggle room. That's the red and black structure, red dodecahedrons joined together by black tubes. Some of the tubes, as needed, have 2-bead edges on the inside and 3-bead ones on the outside. On the blue buckyball from the earlier post, the 5-ball circles are separated by 6-ball circles, and that gives you the same sort of wiggle room.
When I had done the red and black structure, I found that I actually liked the look of separating the small balls, so I did the same with a buckyball, the multicolored one. I really like the fact that it's a more open structure, and you can see what's happening better. Also it's larger (around 4" diameter.
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