This post is about another idea I've had kicking around in the back of my mind for ages. I finally tried it and with interesting results, but they don't lend themselves to a piece I want to make right now. So I'm memorializing it here for later reference. The inspiration--and actually more than inspiration because it's more or less the actual design is a fountain done by Ruth Asawa that's origami done in stainless steel. It's in San Francisco. I've looked at it for a while, but only recently realized that all the triangles in it are right triangles. Actually that makes sense, because it has to come from a flat sheet of, in this case, steel. I reproduced the triangles in tubes and got picture 2. Actually I made one change--I changed each pair of 2 smaller right triangles that are on the edges of the sheet to a single double sized one. But, of course, this isn't origami, and there's no way to make the flat "sheet" of tubes stay "folded.
Then you get picture 2, which is pretty much like the origami structure and stays folded. But the outside shapes are rectangles, and tube rectangles aren't rigid, so in picture 3 I made a pyramid out of each rectangle, and that makes it firm.
There's one way my structure has an advantage over origami, in that I can adjust the lengths of my tubes to vary the structures. Mainly I found that by shortening or lengthening the tube that is at the very center of each unit in the flat sheet, you change the angle of the curve. A longer tube in that position gives you a tighter curve, and a shorter tube there gives a shallower curve, or, at some point, no curve at all. So you could make a nice oval shaped necklace by varying the curve.
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