O.K. Next picture. This is a repetition of the one ball, the three balls, the six balls, the ten balls, and so forth.

Next picture. And this is a little review of thinking about instead of calling it a nucleus I called it the ability to nest. So that in one case I am talking about it positively, this is a new nucleus showing up, and then it has the advantage of being a space where you can nest.

Begins with the tetrahedron, second is a one-eighth octahedron, the third is a one quarter tetrahedron. So these are fundamental increments of Universe, and it is really, actually spelled out by fundamental disassociability. You feel much more comfortable about using quarter tetrahedron and really looking at things that way once you have discovered that's so.

Next picture. Now I've got two balls on a wire. And now there are two balls on the wire, and I want you to see what they are doing. They are remote from one another, the pair. May I have the just picture you leave oh if you want to put me in this picture, fine. What happens to these two balls is that they are near each other, and the effect of the motion is that they precess, so they do this, and they do this. I want you to realize how one half of the tetrahedron is really precessed to the other half the pairs.

Linus Pauling does a great deal with these kind of spheres, and as I said he is the Nobel Prize Chemist. And we will see some of his models after a little bit here. And he said that because the numbers of the vertexes in Universe do come out evenly, all the sphere agglomerations in Universe can be divided into pairs they are twos. Universe can be divided up into a fundamental "twoness". There is a multiplicative "twoness" and the additive "twoness". This is the multiplicative "twoness". So this one sphere it has "insideness" and "outsideness" and you can see both of them at the same time.

Next picture please. This is where the two balls are just coming together precessionally.

Next picture. Making the tetrahedron.

Next picture. Now you see three balls in a row, and three balls and four balls. Now I'm going to make a model of this. And don't go any further with your picturing for the moment, because I would like to make this model up for you with my pins and the spheres. Now here's three in a row. I was talking about nuclear phenomena, how different patterns obtain at different levels, so that I get the two balls that are precessing and you say, that's very simple, everything else must do that. But I got a three ball, a couple of sets of three balls there and I am going to have to make a pair, and you make another pair there are two pairs, but this time I am not going to precess them. They are not in the precessing part of this story. I am going to run my pin perpendicularly there, and another one perpendicularly. And I am going to make them into a square which would not be valid if they were all by themselves, because the square wouldn't hold it's shape.

Now, we have, precessing is something you do tetrahedra tend to precess, so I find that what happens here is, this wants to do this, but it just is very wrong in here it wouldn't be stable. So what we have then this one is here, and this one is here, and now it goes like that. So then there is a three ball tetrahedron. I want you to see how this precessing has been accommodated by this square in the center. That square is also then the cross section of the octahedron which is at the center of the four tetrahedra. So, it's getting into an octahedronal kind of a condition. In fact, if I took the four balls away from the four corners, you'd find you have the octahedron sitting in there. That's really quite different from when I put a four-ball edge there, that way, and there were five tetrahedra. But this one has the octahedron in the center. So things are coming out quite differently in different layers here, as the frequencies exchange, something unique is going on.

Now the next one I'm going to do for you, you're going to be able to see in the picture. May I have the next picture after the one that I have there. So there you can see the two of those that came together so a three ball edge, which is two frequency remember.

Next picture. Now you've got four balls in a row at the upper left, then four balls in a row at the bottom right and on top of the group at the bottom you see six balls, and you are going to see that there are six balls the one at the left. Just keep that and I'm going to make another model. Maybe somebody will come here and help me make this model. We'll just take our pins, and we could do it, it's good to leave that model there. Make four in a row darling like that with a pin. Look out that you don't get hurt. Now, you make up a set of three-three pairs. And you've got your three pairs. Alright now, where I made this square, pin them together in parallel. It makes a group like that. I need another "expert". Will you be an expert then, will you make what she's made four in a row. Now you've got your six here dear put together fasten those to your four . Now, I have had a very interesting time with these particular pieces in the past. I have made this model many times, and well, you know at top Universities like Dartmouth or whatever it may be, and I have had the top mathematicians and so forth. And I have given them this to a mathematician, and there's another one just like it. You've been with me now so much, you know what to do. But I just give these two items and particularly if I made it out of paper, in fact, I can't make it with paper I can only make it with the balls.

So here are two of them exactly the same. I say put those together. And he says, he's got to find something symmetrical, so he finds six and tries that. Or he'll try this like that, and it doesn't seem to do anything. You just, because the six are a rectangle with completely different dimensions, there is no reason in the world why you would think of any way to put them together except by the sixness. The way people think. They think ninety degreeness. They don't think sixty degreeness. Sixty degreeness is always convergent, and they are thinking parallel motions. So what you do, again, is cross precess, and here's this lovely thing! So six met six alright, but they converge! And I find that the human eyes just don't think that way.