Next picture. What we're looking at here you can see is highly geodesic and here is the model made for me by one of the early virologists. This is the polio virus. And it is strictly the icosahedron. This man was the physicist at the Boston Children's Hospital, and he now works primarily with the Cavendish Laboratory group.
Next picture. Now you are looking at something else that looks kind of familiar kind of geodesic, with the hexes and the pents because we get those kinds of spaces. But what you're looking at is the actual fibrous web in, this is an eye, the eye of a bull. Also, incidentally, the bull's testicle comes out in exactly the same pattern. But all the eye structures are this way these are eye structures. 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. Looking here at pictures, if you could remove me again from the picture, what we are looking at are pictures made of the radiolaria. This is when the voyaging of the British scientific ship that Darwin went on, and so forth, these are pictures of the sea life. And we have these particular ones are radiolaria, but we have also the diatoms tend to be in these kinds of forms.
Next picture please. And incidentally, what you're looking at are the central angles of the tetrahedron. This is the one I found I COULD NOT MAKE WITH GREAT CIRCLES FOLDED UP. And incidentally, I'll just remind you about those great circles, that there were seven great circles that were foldable, and that they all had to do with the energy going thru space or cutting it off in local holding patterns and there are no others that can be folded. These are a limit case. There are only seven, and they all have to do with this basic symmetry.
Now, next picture. Here you are looking at some more of the radiolaria and the algae these are not the algae, and the diatoms. Look at the octahedron, and the really, really, very beautiful thing would you remove me and get me out of the way of this array because it is very, remove my picture. I want you to see in the lower left hand corner there is a dodecahedron, and there is the octahedron up in the upper left hand corner, and so it goes with tetrahedron up in the upper right. They are all there. We get then sea life absolutely the simplest things coming together in the simplest ways, and this is where they go. Again, this confirms what I want you to do get the very simplest and here we are.
Next picture. Now, we've got a stack of ping pong balls with a red pingpong ball at the top. And I spoke to you, I'm going pretty much through what we spoke about yesterday, but there is going to be more added to it each time. I want you to be really very familiar. There is one red ball on the top. In other words, it is the only potential nucleus that you and I can be looking at. Let's take that next picture please and it would be a good idea if I were out of the way for these pictures. I have just taken off the top tetrahedron and you can see the six balls of the top with no ball in the center.
Next picture please. And eliminate me again that's fine. So then you see I am now down to four balls to the edge, it's a three frequency, and there is the new nucleus showing for the first time. There is the first red ball on the table to the left, and then the two layers that have no ball at the center, and then the fourth layer has a ball at the center.
Next picture. Now no ball in the next layer. Five layers.
Next picture. No ball again in that one.
Next picture. And there we suddenly come to it. So I say it is a yes-yes no no, yes no no, yes no no all the way through. And these are the fundamental distances that make the fundamental distances which are between nuclei. And that yes no no also has agreement remember when I was spinning the great circles yesterday and they read yes, no, no that happened very often. And, where we get to Nature's taking one out remember my giving you going from the octahedron to the three tetrahedra face to face. I think I'll do that again because it is worth our doing at the moment.
Here is our octahedron absolutely symmetrical. It's generalized. It's very much in the middle because tetrahedron is a minimum case. The icosahedron is the maximum case of structural system. It's (the octahedron) the middle ground. And we find it has the tendency of being doubled up. It always really has a storage. It is that fundamental "twoness" of Universe all in one here. And, so we have our two extremes but it is in the middle. So it's two or something. And I'm going to take one out one vector out, and just taking it out momentarily but then I'm going to put it right back in but I'm going to precess it, you remember, precessing goes like that. There's a precessing effect on it, and so it goes in here, and it goes in here. And what we have now are triple bonded tetrahedra. One tetrahedron here, the second tetrahedron here, and so the volume is three and the volume was four when it was an octahedron, so you literally have annihilated but all the energies are here, because the energies are the edges are the vectors.
So, I want you to understand, that this is all there is in Universe and physics is about annihilation. But the interesting thing about it is that it also gets to be the beginning of the tetrahelix. So we've gone from the generalized immediately going into the special case. It's a very, very exciting realization.
O.K. Next picture please. Now you see up to the upper right the two red balls and there are always two layers between them. And what that makes quite interestingly, is two tetrahedra, but two tetrahedra made of balls rather than so this is behaving differently see if they were planar they could come face to face, but these don't do that. The balls nest. They go at 60 degree precession. So there are the two red balls, and what do you have in between? Six balls, and those are the octahedron. So these two red balls is the octahedron. There is a basic symmetry between two nuclei. Two potential nuclei. That's all that is saying. As interesting as it is not that kind of tetrahedron it is this kind of tetrahedron. It is a nested tetrahedron. Now if these two were joints, they would come together and you wouldn't see them. Because they would become congruent as they would bond together.

