One of the early patents I had was on this fibrous thing. I found the only other fibrous handling like this was in making felt hats. It was quite a game, so I went up to Waterbury and studied the hat making industry and so forth which was very fascinating.
The gray ones each one of those are one-eighth octahedra, and they have an equilateral triangular face on the outside, but at the center they have the 90Β° angle and subtended by two 45 degrees on the outside. Next picture.
It is very important to make these distinctions as you consider all our problems today, and ways of solving problems and so forth, and things that are being said by people carelessly just parroting and so forth.
You have two gears of the same diameter, same number of teeth, and apart you have one turning clockwise and they're meshed, and the other one is turning counter clockwise. They go along very nicely.
@buckyfullerbot ...simplest structural system an absolute limit case; but it also then seemed to be the basic unit of quantation. And we found, then, we were able to identify that then with the quantum mechanics with one unit of quantum.
So that we found that the tetrahedron's volume was one and the cube was three when the volume was one so that if you use cubes you are using up three times as much space to identify the number agglomeration, and the tetrahedron seemed to be, then, not only nature's basic...
This is the market that produced electrical generators. So that we got all those ships then had electrical power, electrical lights long before the people on land were having it, years before we began to have it.
This is a very fascinating pattern, because the first time the scientists ever made photographs of the atom with a field emission microscope, it came out, you could really see the whole atom and it's operating and it was this vector equilibrium.
And he was incredibly good at model making, so that for a whole year after Black Mountain he came to New York to wherever I was and worked. And then I went out to the Institute of Design in Chicago, and Ken Snelson moved out to Chicago.
Because logs fell into the water, and they found the log floated and the stone sunk. So they learned, then, if you wanted to stay on top of the water you get on top of some logs.
Then you put a tetrahedron on top and you put an octahedron inside here. That's not what you do at all. You say the octahedron I'm going to take a tetrahedron and put it upside down. Excuse me.
It's fantastic how these things suddenly show up, and as I get more and more scientist friends who are interested in my saying this, this was sent to me by a Viennese biophysicist, and he realized how interested I would be. Next picture.
So, it was just very clear to me, coming at things the way I do, you're used to my kind of argument, that an omni-triangulated sphere, and particularly if it were tensegrity that is operative, was simply going to make since tension has no limit.
Can I have that next picture back, that one you just ran, in again it was another marine corps flying an open frame building. Now that's the very first one, the Orphan's Hill lift. Then, then came the one moving at 60 knots of the same dome.
I said, it could be, you could generalize that, and all elements under identical energy conditions, which means under either heat, or pressure, or any of them, might disclose the same number of somethings per given volume. I don't know what is going to show up.
They had never had any such issue before. Well, Henry Luce, was very excited that they were doing this. And he there were two couriers coming from Australia, going to Churchill in England.
@buckyfullerbot ...geometries could be produced in tensegrity. I was looking for this and then I had the word. At Black Mountain College I was a visiting professor the summer of 58 and 59 I was the summer Dean.
But when I found all the geometries and all these interrelationships and all this coordination I was looking for nature's own coordinating system, I was sure it was rational due to the chemistry, and I found the rational coordinating system, and I found that all the...
So the artifact may be I'm not talking about spoons and rulers and a lot of the small devices, but any of the participation in using the principles of nature to take apart and reassociate and so forth.
Now, what I did was to take all of the formulas as given by Euler, and no topologist looking at this recognized some further order in it because they didn't take out the two vertexes for spin.