Next picture. Thin shelled structure. It was plate, but the lightest plate that you have.

Next picture. It was a very lovely dome. This is the dome at, in Ohio. This is the dome for the American Society of Metals.

Next picture. This is the dome going up. It is not skinned. It is just an open framework, but it was an extremely beautiful one, as fairly near Cleveland, from Cleveland.

Next picture please. Very delicate truss.

Next picture. These are going to go on for quite a while. I think it would be a good idea it is now nine o'clock. We waited later than we usually have a real break, so we'll have a coffee break and get going as soon as we can again. Thank you.

(Break)

I want you to recall as we look at the geodesic domes the intimacy of that design to the SYNERGETICS, going back to a system dividing the Universe inside and out. A structural system. Getting to the three possible structural systems tetrahedron, octahedron and icosahedron. Remembering the icosahedron gave us the most volume with the least energy quanta, so that then I found that after we get then to the icosahedron then we want to get further subdivision of the surface, and we get into the multi-frequencies. And remember what the frequencies were then. They were the radial and circumferal, where the, what I said the angular and linear accelerations of physics are all in the same language. So the domes you have been looking at like that in Baton Rouge or Wood River, we are getting up there to very high frequencies 36 frequency, so they are beginning to look really very beautiful, and they look rather intricate. But the mathematics and trigonometry are just the same trigonometry that I gave you for how you find out about any of those spherical triangles.

I hope the interrelatedness here is clear and the grand strategy of the little individual wanting to what can he do for human beings, and then finding the environmental control or something he could work on, that this is what in the military they'd use big heavy fortresses, but in ships of the sea they did have the do the most with the least, so these are containers, environment controls, and I saw that this was the direction that none of the science and technology that is patronized for the war ever went in the direction of the building on the land, so we simply have hold overs of castles and that kind of technique.

The we are now going to come to the Expo Dome in Montreal. And this was a very interesting project to have occur. If my head moves a little you can see it on the little island over there the sphere, and incidentally it is still there, and it is really quite prominent as you fly into Montreal it is a major city feature, and this was, then, the Pavilion for the United States World Fair. This came about when the first place U.S.I.A. who handles then the Fairs and other Expositions for the Government they asked me if I would work out what the exhibit should be at the World Fair in Montreal, and I then developed the idea of this being WORLD GAME. And I wrote a great deal about the WORLD GAME and made clear that whole idea, and which you are now familiar with, and that is part of my planning. All of the things that I have been doing here with you, everything that I have been going over with you about my DESIGN SCIENCE exercises within the WORLD GAME in relation to the GRAND RESOURCE INVENTORY and Grand task to be done ALWAYS FOR ALL HUMANITY, NOT FOR ANY SPECIAL COUNTRY OR SPECIAL PERSON. And so that I felt the World's Fair would very greatly care for the United States showing what could be done by Design, so it might really, I felt that it was the same strategic moment it is now, but I said if the United States could really get playing, all the people there could really go and see what is good for the World, and not just good for the United States, a World's Fair would be a great place to do it.

There were people who did like the idea in the government, but anywhere far from the majority, so they tabooed that but then they just wanted my building so we did have the building. So what went inside were other kinds of exhibits. And the there were very many interesting things about this dome, I might as well mention a few of them.

It was designed to be put up in the fall, but the general contracts of the fair were behind so it didn't actually get erected until in February, which is a very tough time to have it going up. It was put together by a tribe of American Indians who were great high skyscraper experts. You know they do this work. But it was very cold work up on the outside there in February. So much so that there was a great deal of ice and snow that formed as they were putting on the enclosure the skin of it, and so when the Spring came a lot of the ice and snow melted, and there were leaks in the building, which I am sorry to say they never did have a chance to clean up very well before the Fair was open. They did a certain amount of repairing but they didn't want a lot of people working up there when the Fair was open. The dome is this is made with octahedra, and the octahedra coming I think you would be interested in getting this pattern looking at an octahedron from above, as you know we can see this way (Bucky is drawing at the board now).

Now, I can change it, I can have an irregular octahedron where these points instead of being outside there, they could even be inside. Here is the second triangle, in back there, and it could connect to here. Can you see that. Simply the triangle on the far side of the octahedron is a small triangle, and this triangle on the far side is connected to the triangle up towards you here by six connectors. So we have the same six connectors but they're a small triangle here. I could also make this arbitrarily so these points here are congruent with the midpoint and you wouldn't see it all you'd see would be that.