Meanwhile. though, I'm still playing with structures. I find the blog is a great way to keep a record of what I'm doing. I use my silver tubes to experiment, but it's too expensive to keep permanent structures made out of handcut and oxidized silver tubes just so that I can get ideas from them. So if I blog about them, then I have pictures and notes, and I can reuse the tubes for actual jewelry.
Ever since I made thebracelet above, I've been fascinated by how an alternating series of right triangle tetrahedra and equilateral ones makes these square structures. I'm making a similar bracelet now, but I kept wondering if I couldn't make the series continue in a straight line instead of turning corners. (This happened at about the time I realized that I didn't have enough 20 mm tubes to finish the bracelet anyway.) So I tried it--and it works!
I should mention that things don't always turn out that neatly. When I made a chain using only right triangle tets instead of alternating, nothing interesting happened. Also I suspect I could have found out the same thing just by creative use of the Pythagorean theorem, but then I wouldn't have pictures to remind me of what I'd learned.