So vertexial associability comes out differently from edge associability or face associability. In fact, vertexial associability is the universal joint. This is the way the gases are, remember? And edge associability is liquids. Still flexible, distributing loads. And face associability is triple bonded so it's single bond, double bond, triple bond. And then we get the greatest tension, but no flexibility. No distributing loads any more. And this then is crystalline, this is liquid and this is gaseous. This is the way where I suddenly found out how to integrate Willard Gibbs' phase rule dealing in the chemistries of the liquids, crystalline and gases with the topology, so I find they are all the same.

And that was, again, a breakthrough. There have been very many breakthroughs in my life, that where you say you don't understand...for instance there is something, I'm sure you've heard of it the four color problem. Why do you need no more than four colors to do any mapping, so that you'll always have different colors between two areas of your map no matter what their shapes are. And this is, simply, because Nature does work then in tetrahedra. And a system a map is always going to be on the surface of a system. There is no plane all by itself. No interminable plane. It's always going to be on a surface, and it's always going to turn out then that, you've got a triangle, because you get down to triangles for the net structure, and the triangle on the outside of the sphere is the base of a tetrahedron whose center is the center of the sphere, and the tetrahedra are going to come apart that way. So the tetrahedron has four colors, and the four colors you have a red on the outside, and the blue, green yellow on the inside blue, green, white on this side.

You find, then, these act like gears, and every time you just have those four colors and for one outside you have three buried. Because the Universe is a three-way gearing. And they just can't come out wrong. So you can really make a model. This then proves for very, very many years, it has been said for over a century, nobody ever proved the four-color problem, show why, but this is fundamental because you and I are now dealing in FUNDAMENTAL systems. I have been able to say absolute limit conditions all the way through. We are at THE SIMPLEST and here it is. O.K. I now would like to have the next picture. This is really quite a simple one. I wanted you Remember I was talking about pulling could you eliminate me for a minute? you have on the left hand side, "pushing", and we find then it's tending to be a sphere. This is the precessional effect. You push on the two ends and the whole thing begins to increases in girth. And you pull on it and it contracts. I just want you to feel that. Now, before we go on to more pictures, I'm going to go through something that relates to a statement that we made here just a few minutes ago about, I just think about children and human beings apprehending.

So it is the touching and the smelling and the seeing and the hearing, and I am sure that sometime we're going to learn about this electro-magnetic-telepathetic interrelationship. But the only ones we know about are the touching, smelling, hearing so far, seeing. And, I find, as I grew up the Insurance Companies had equal indemnity for the loss of the hand and the loss of an eye, for instance. There was a sort of as I grew up there was a sort of feeling, you were being told by grown ups, you know you may lose your hearing, but you've still got your sight. They were sort of alternate faculties, that's the way they were looked at. They were not really evaluated very tightly. And I felt a great necessity to make an experiential, operational assessment of our senses. Having been, then, myself not having had the seeing, at the outset and having had primarily the hearing, the smelling and the touching. Because, as I was young, I can't tell you how much I smelled. The smelling was very, very important. I really was almost like a dog, and I knew people by their smells. To such an extent, my father said that, just in the last few years my sensitivity of smelling is going down like my hearing. It seems to be nervous, the nerves are breaking down, but through my life smelling had been so I always really smelled people. That was the first thing about them. And if they smelled wrong to me, they were not going to be my kind of a pal that's all. There was no question about their smelling. When they looked great, and didn't smell right, I learned to just turn away get out of the way. There'd just be trouble.

So, now I'm going to go into this assessment of our nerves. And I'd like to make an experiment on a good scientific basis now. And I'm going to take my body, and I'm going to bandage up my mouth and my nose and I'm going to get myself an oxygen tube so that I won't be asphyxiated. And I can't smell anything I'm not going to use it but I just know that the oxygen is very prominent in there, but that's not what I'm dealing with in here it's not going to give me any information. I'm going to cover up my ears, I'm covering up my eyes they're all blind folded. I have only my body. I'm naked, and I need to get some information. And certainly, in any unknown territory, I'm not going to step over here. I have no experience to tell me that there is a step there. And, I keep my balance on this foot, and I'm going to try it very, very much before I ever throw any weight there. It's like a kid testing ice. And, I'm also going to be, I don't want something run my head into things too, so I'm going to be doing this. As I move along I'm going to be very, very tentative, and, in every way, I'll be acting like an insect. And, under these conditions, I find that I'll also begin to get a little bit familiar with the floor, and I'll get to know it. I have a good angular sense, and I start feeling an orientation like this if I start turning like that, it's going to be like that. I can really feel what comes next here, because there really is a pivotal effect. And you begin to learn exactly what it is like under your feet.

I don't know if you've ever done this as a child, but often in the country is a place where you can just enjoy yourself tremendously a little kid, and they let you get out at night a little. And you find that there are paths, and you get so familiar of the feeling of the paths with your feet, that you can run down that path at night, really quite fast. Even though you can't see foggy night, you still feel very very comfortable with your feet. So I would say then, if you just had the touch, you gradually would learn about a certain amount of territory. And, it can be a fairly large territory, and if you feel very comfortable, within that territory, you would dare run. But with just my legs, and short as they are, I'm not going to cover very much of my planet earth. That's obvious.

The information that I would get, because I'm also going to be watching this as I run through the night, and I learn that there are other things that fall in there once in a while, so you can't be too sure about the spaces, so you're going to be doing this all the time as you are running around like that. So I see then that the limit of the information that I can reach, just standing still, as I start off, is the limit between one toe of one foot and the finger of another. This is the total. This is considerably more than my height. I'm going to have a very tall basketball player, and I'm going to give him ten feet stretch from his toe to his fingertip. Keep it a simple number. I simply say, then, that under the conditions of just touch, you have a static range of 10 feet. But under the dynamic, you and I can run possibly up to five miles an hour, and the amount of time in a total lifetime is, say, about how much? You and I would have a dynamic thing, where I could run five miles an hour to get information, plus a static reach of ten feet. So I'm going to put that on the board here.

We've got start on a tactile basis. I'm going to have a static range and a dynamic range. The static range is going to be ten feet, and this (the dynamic) is going to be 5MPH. A mile is about 5,000 feet. So we'll divide 5,000 by 10 to get down to 500. This is 1/500 mile. This is, then, I'm going to put 1/500 of a mile per hour. See, I want to get it relative to miles.

Now, the next thing we have, I'm going to cover up all my skin so that I can't get any information from my skin. So during that running I could get information all over my body to tell me what to do. And I also felt heat. But now I am going to cover my whole body, and I would also, with just my body, not come too close to a fire I would feel that heat. I'd feel the cold this way. You get a lot of information alright.

So now, I've covered up all my skin, and I can't move anymore I'm not allowed to do that. And I open up my nostrils my eyes are covered, and my ears are covered. That is all I have, and what can I learn. We have learned that sailors time and again in history sailors coming in from long sea voyages have been able to smell citrus groves and pines, at sea, with no wind, in the calm, a mile off shore. You can smell pine and citrus a mile away. So I've got a static, in this new one, this is now the olfactory, and I have in that a one mile static against a 1/500th MPH, and you can smell without that was one mile static; but if the wind was blowing it could bring you a lot of smells. And how fast can the wind blow? Well at earth's level, we have 400 MPH in some of the stratosphere, but the level at which you and I operate, the best winds we have, the fastest is down in the Antarctic, 180 mph. So with 180 miles an hour smells can be brought to you. And often we get forest fires, information about them really considerable distance, but I've taken the static, the airs dispel, they get thinner and thinner, so that the mile is as far as you can get with the so there is a dynamic additive to the smelling I think I can give you a 200 MPH dynamic added to the smelling. So, I didn't really do this all columns very well I'll leave these, these are all MPH here anyway. So we had 1/500 and 5. This we had 1 mile static, but I'm going to give you 200 MPH in the dynamic.

Now I'm going to cover up your nose and all your skin, and open up your ears for the first time. Your eyes are covered up. What do we know about this? We know that humans have heard the atomic bomb blasts in the desert 100 miles away. That's not usual. If it's just you and I trying to shout to one another we can hear an explosion considerably further than we can shout to one another. So we'll have to use the explosion. And the atomic bomb blast is the biggest. So we have to use the static here is 100 MPH. This, we're now dealing in hearing. And then, the speed of sound in air is 700 MPH. But if the wind is blowing your way it makes it come 900 MPH. It actually can blow towards you or blow away from you. Because it is in the air. There is, then, a dynamic additive, so this gets up to be 900 MPH.

Now, I cover up all of touch, smell and hear and open my eyes for the first time. And as I have been going into with you, you can see a galaxy a million light years away. I find that the range is so incredibly large, as I try to put down what it is that I am seeing. I'll have to take that's a good one, 100 million light years away. So we take our million and we multiply it times 6.5 trillion miles per year. So 6.5 trillion, what would we have here? We have your 6 zeros in 1,000,000. And in your trillion you have nine zeros, so you have 6.5 times one, so 6.5 x 1, and you have 6 and 9, you've got 15 zeros, you've got 10 to the 15th power. This is the number of miles you and I are seeing: 6.5 x 10 to the 15th power. And, if you want to say it out, we'd have then, let's see 15 zeros, so let's put it down that way so we're saying this is millions, billions, trillions, quadrillions, sextillions. The thing is, we can see a sextillion miles. So this is the sight. So it is an incredible figure so you just have to write it 10 to the fifteenth power. It would be 6.5 times that.