Coming back, then, to triangles, and understanding it is the third side that stabilizes the opposite angle. So, I had two great circles crossing each other at an unstable angle at the pole here. The minute the equator crosses it, it triangulates it and it immediately stabilizes it. So these are interference patterns going on here, and it sets up a triangle. Then, the fact that there is one triangle, then you find that it automatically then makes I said, I had the equator, and I had these two here, and suddenly I have the third, and suddenly you get the octahedron shows up. It automatically makes the octahedron. So you get four triangles eight triangles here. And these triangles, even though the first two may have been at some odd angle like that, not a full 90 degrees, and the second, where the equator crosses may be not. But because of the very high frequency interference, they keep trying to average. They work back towards the octahedron.

We find then this same thing happens with the icosahedron where we have six great circles instead of the three of the octahedron. And the six great circles, here they are, and here are the triangles where you can see them getting to the point that they can't get any closer. The triangle can't go that way any further, and it can't go the other way, because here is a triangle up here see this triangle. And this triangle down here, and these are going spreading to the center of each of the centers of gravity of each triangle, so all the variables are in there. These, then, represent the ways in which I said the icosa gave you the most volume with the least energy investment, again this is the least effort. We find then, fundamentally, the molecules of gas inside of a pneumatic structure, get to doing exactly the pattern we're looking at here. This thing you're looking at, incidentally, is called in the British Museum, the oldest toy known to man. This particular one came from Rangoon, and through Thailand and Rangoon, these are used instead of pneumatic balls, and they play, and they hit the balls, and they bounce beautifully. And it distributes loads incredibly beautifully.

So now I have here a very fascinating matter. Because I found that the pneumatic structures are producing icosahedral great circle interaction patterns. This hit me very hard because it was a pure geodesic structure. And I received a letter and some photographs from two scientists at General Dynamics. It was quite a few years ago, and they were two scientists who were working on re-entry cone problems for the rocketry and space vehicles. And they get into this enormous heat of re-entry, the friction and so forth, and they were trying to get it to where they were making experiments with titanium, which is, as you know, gets the greatest lightness, and has very, very high strength. And, they made two hemispheres of sheet titanium, one about a half inch less in radius than the other. In other words, an inch less in diameter. And they had one concentric with the other, and they sealed up the base between the two, so that there was a half inch space between these two hemispheres. Then, with a pneumatic pump a vacuum pump, they pulled out the air existing between the two thin shells. This meant that the bottom, the smaller shell, the atmosphere was able to get inside of it, and coming inside of it, it then pushed the inner sphere outwardly because the atmosphere came inside the sphere and pushed it out. It exhausted the air between the two, therefore the same atmosphere on the outside of the outer sphere, pushed it in, and it dimpled in under an absolute geodesic pattern the pure icosahedron. And they found that what we call the frequency of the modular sub-division depended upon the relative thickness of the metal, if we made the metal thinner we had higher and higher frequency tensegrity, icosahedral geodesics. They thought I'd be really pretty pleased, and of course I was.

Now, what I'm coming to then, the way we really explain geodesic structures must be hydraulically rather than crystalline, because crystalline structures do not distribute their loads, and these do. The very beauty of it being the fact that they, as I say to you, tense any one of them, and they'll come out the same tuning all over.

Next (slide). We've had quite a lot of interconnection here today. We begin, then, to think of a Universe in which there are great potentials of humanity, and we immediately have great insights that man is then accomplishing tasks he needs to do building such as we are in here today, looking at our great cities. Where I now know that, actually experimentally, that I can give you 300 buildings for one for the task they have to do against the best-known alternate engineering strategy, then just for one thing, tensegrity, spherical structures. Where spheres, in their own right, enclose the most volume with the least surface. Have to pay attention.

Now, I hope, and I'm saying this right now in our meeting, because I want you to feel with me as we explore more and more, you find openings all around with problems that you know are facing humanity, and you begin to see there are options and outs that he is not exploring. And if you begin to add up those options and outs that he's not employing, you suddenly discover it is highly feasible to take care of all humanity at a higher standard of living than anybody has ever known, and I know, and I'm talking about big patterns. Little man on our planet, not working on cosmic accounting, but having started naked, helpless, ignorant, finding his way by trial and error, is still at a level of sort of average error of viewpoint which is perfectly logical. There is no bad or good man in here. You can't get anywhere in your thinking if you impute malevolence to individuals and so forth. I find then that it is then, still assumed by humanity, as self-evident, that there is nowhere nearly enough life support to go around. So people are always worrying about their population. People that are "in" worrying about all these other people coming around to jeopardize their peaceful stability, or enjoyment of their advantage. We have then, because of the working assumption that there is nowhere nearly enough to go around, this is why we have politics.

Each political and politics is inherently biased they simply say, there is nowhere nearly enough to go around, but I have the most logical and fairest way of coping with fundamental inadequacy. It is a horrible matter. But, if you come along with me you're going to get a better chance of carrying on, and your family will have a better chance of surviving. That's the only reason we have politics, and you automatically take an absolutely lethal bias if it's going to be your side or their side. You gradually find that man can do a little bit more, so you say, well you and I get together. Apparently both of us can get along alright, so you get a little larger groupings, and all humanity finally enormous blocks of now approximately three or four major groups saying "it has to be you or me." We're finally getting down now to two great big one. YOU or ME. And for this reason, we do have the great nations of the earth, annually for the last two decades, the United States, Russia, China and NATO alone, their appropriations annually sub-total more than $200 billion a year getting ready to kill. All the highest capabilities of man being focused on how do you kill; on the working assumption that there is never enough to go around for everybody, therefore there is no use in having social legislation, because there is no expenditure you can make that is ever going to take care of everybody. So they don't try to spend it that way.

Wonder why politics sometimes can seem to be so cruel in not taking care of the poverty they say "there's just not enough." I now know, really know very well, and I'm sure when you've finished with me, you will go out and do a lot of checking, but you will have gotten many many insights in the direction where you could see what I'm saying could be true.

I'll just give you something very simple in the relation end of that structure and environment controlling. Man developing environment controls for humanity. Where you don't want to have something as an insulator you don't want to have a prison. You don't want to have that Greek sphere where there's no traffic between the two. You want to have some kind of an environment control so that what you need can come through when you want it. It's a sieve. It must be a valve to not try to insulate you you need water to drink, because you can't drink it all when it rains. So you want to have a holding pattern where you then interrupt, shunt, and hold and valve into your presence in the magnitudes and frequencies that correspond with our needs, while also being utterly thoughtful of the rest of the ecological balance of all the other things that have to go on if life is to go on, if human beings are going to go on. So that water can be very well handled, and just a holding pattern, because gravity is pulling it so just don't let it move that fast, you run it through all the useful channels necessary. So I see then, environment controlling is a valving phenomena where we have things coming at us from all directions, and like to have an omni-directional environment valve, that can cope with the very frequencies and magnitudes of the various of all the things we want to intercept and turn to man's advantage. It's a very different way of talking from the old architecture or something that's going to give you distinction out on main street or whatever it maybe, or something you're going to make money out of. We're talking about how are you going to make life work, and trying to find out why humans are here, and what we ought to be doing to abet while we're here, and how we employ the principles we're discovering in the most effective manner.

(Break)

So I talked about the grand strategies of all political systems assuming it has to be you or me, and the enormous commitment towards the negatives and the killing. And this is really opposite of Synergetic. It is really me or you rather than realizing that there could be something when you and I get together. It doesn't make any such allowance. And I, also gradually am exposing to you grand strategies of Nature's way of solving problems showing you that she has principles that are operating in Universe. That she always does things in the most economical way. She uses the most efficient, and you and I having been born naked and helpless and finding our way, doing many inefficient things as we go, simply because we do have a prime built-in drive of hunger, procreative urge, thirst, curiosity all these built in. We're given this program so that we'll do it. We were, as I say, quite clearly designed to make those mistakes, but also then, designed to be able to discover principles and to discover that you can be more efficient, that nature is using the most economical.

So, as we begin to get a little closer to nature, which unquestionably means getting considerably happier, that we're going to find ourselves getting considerably more efficient. And I just wanted you to be aware of that as I talk, and I talk about the biggest kinds of patterns. I introduced to you yesterday the idea that Nature is doing some very big things, that society didn't know were going to happen. I've introduced you to society having a vanity, and once it happened, not really having the beautiful lesson that it really could learn if it realized how completely it did not anticipate that. Therefore, society would not be assuming it was having to find all of the answers right away, but to realize the Universe is getting along pretty well, and we may be able to check in, we may become members of an operating system where we begin to really consciously participate in employing our higher faculties to really get on with Universe. We may really have such a function ahead. But we have not qualified yet. We are embryo and I would like you to keep feeling that as we go along.