Sunday, October 16, 2011

hyperbolic plane

Haven't posted in a while, but experimentation goes on. This is a piece based on the hyperbolic plane. If you tile with hexagons, you, of course, get a flat plane. But if you tile with heptagons, you get a hyperbolic plane, which gets rufflier and rufflier as you move outward, like some heads of cabbage. The first one I did was round. I intended it to be a focal piece for a pendant, but it sort of got too 3-dimensional too fast (i.e. it stuck out too far from the wearer's body). I'll try to get a picture of it up in a day or so, but I don't have one now. Anyway I decided I wanted it long and narrow instead, so it would get ruffly, but not TOO ruffly. You could also do this using circles of 7 beads for the heptagons, but I wanted more "there" there, so I made my heptagons out of 7 triangles.
There's another way to get a ruffly structure that starts with a tube instead of a plane (maybe a hyperbolic cylinder? I actually have no idea what I'm talking about here). It comes out looking sort of like a petunia. I made a few of these quite a while ago, and liked them, but never quite figured out what to do with them. I think they should probably be the ends of a sort of a rope necklace, but have never made it. I'll try to get a picture of these too. They're much less open than these plane structures, so they took a long time to do.


  1. Well now that's pretty cool; I never thought go using heptagons in triangle weave. I really like the ruffly effect!