Session 7 - part 05

Now, I was just making pictures here of tetrahedra, and I had them perpendicular to the earth. The earth's surface was upside down on the bottom there, that's alright. There's no upside down in Universe, so it was valid. I had been making that picture, when the next day somebody gave me a picture of radiolaria.

Next picture. And this are radiolaria and they look so much like my sketching that I thought I'd like to show these two coming together.

Next picture please. Here I have three ships. I was in the navy, and I had been taught about Galileo's parallelogram of forces. And I had been taught that you had the way you make a parallelogram of course is that you have two masses moving at such a velocity in such and such a direction. So you make the vectors that length respectively. Then you make two lines parallel to them, you're making parallelogram. Then they had you make a diagonal of the parallelogram to the point of impact. And then extend that diagonal outwardly right thru the point equal length to its diagonality, and it would be the resultant of the forces.

Well, when I got out of the navy, I began to feel that this was utter nonsense, because I said that when two ships run into each other, they don't go waltzing north-northeast 12 miles or whatever. They, one goes to the bottom, and that wasn't on the diagram! And I think you're going to have to have a little different kind of a diagram. I found that both ships were in great acceleration, and the fact is that when they do hit, they rise because the resultant is outwardly with Earth. They are both in acceleration their trying so the total resultant is really primarily upwardly like that, then one goes down and one rolls way over to that side there. And one goes to the bottom. I found it really made the music stand form, and really made then, our friend, the tetrahedron again because of the three legs and the vertical of the tetrahedron.

Next picture. While we are looking at such forms I thought it would be interesting to look at the, may I have that back please. This is the looking in a cloud chamber. And I spoke to you the other day about two lines can't go through the same point at the same time. And this is where they bombard with the neutron bombarding a whole lot of atoms this is a typical kind of a cloud chamber picture with these resultant angles of the bombardment.

Next picture. And put all the light you can in on this please. I spoke to you the other day about being going to the Island of Crete, because I can read this picture well today. I took photographs in the great palace of Knossos. And on the wall there you'll see a hexagon. This is what is called the "kings sign." And why they call it the double ax I don't know, because I think that is really a very foolish kind of way to talk about it quite clearly it is the hexagon.

Next picture please. And blot me out and let's just have these pictures. Here we have this is another one. It's a little cocked though.

Next picture. And there you see the distaff side like the English flag with the vertical cross and the diagonal cross. That is the distaff side. I just wanted you to see these things that were on that wall, and I spoke to you about then the possibility that this great invasion, the breaking down of Crete which had been the stronghold of the water-people was broken down by lesser water people who were more landed, the Ionians coming out and suddenly the mathematics breaks into the open. But it breaks into the open on the distaff side, with the x, y,z coordinates rather than the 60 degreeness which I think remained very secret to the navigator and calculator.

Here I have taken two of the DNA-RNA tetrahelix, three of them. And you'll find that as you make one of these, you can make it spiral positively, or you can make it spiral negative. But you'll find that if you make them all positive, then they will nest in one another. But, if one is positive and one is negative, they do not nest. They have to be, and this is when you're twisting rope, they both have either positive or negative twist to settle one into the other. Now one of the things that have been very fascinating to the Watson-Crick-Wilkins, and all of the people who studied along with them, all the virologists trying to understand what's going on here that the design is codified and controlled by the DNA and the RNA, we find that the child unzips from the mother as the prototype form, just zips apart like that. It might have quite a lot to do with trying to put these things together and see how they were nested with one another, and why they might let go. And because I also do my trigonometry in very extreme depth to be sure that I really have my figures very close on, I am really quite familiar with the form that the chemist or the biologist, the virologist, making a model like this, simply find that he had 36 degree increments, so he found it was a helix, and so ten times that was 360 degrees, so it seemed to be a cycle. I found that it really was not exactly so, because, we take the tetrahedron, I cut a plane perpendicularly against this line, through here, that this angle is 70 degrees and 32 minutes, and so the octahedron when we balance, and one sits in here so this angle is 109 degrees and 28 minutes, and 70° 32'. They are absolutely discrete. So that I found that there was a very interesting set of information coming in where the, when great plates of steel are sheared in great testing in navy work and so forth, that they always tend to shear at an angle which the metallurgist has been calling 70 and 110 which add up to 180. And so too, the earthquake faults and so forth earth faults continually showing up in the 70 and 110. I said, I'm sure they are not 70 and 110. They are 109 degrees and 28 minutes and 70 degrees and 32 minutes. But it makes a great deal of difference when you make sharp accounting. And I found then that when you make the tetrahelix, the tetra is coming around because there is accumulation then of the hedral angles as you come to the top. Lots of people take the tetrahedra and try to put them together edge to edge like this and you seem to be able to get, if you're just doing it with things like this, you say "I am getting five around one". But you find there is a little opening there.

And it's always there. So we find out exactly what that opening is. You take five times 70° 32'. 352° 40'. So we take 360 degrees minus 352° 40', 7 degrees and 20 minutes. This is the difference. So that when we get in that tetrahelix going up like that, we find that the 70 degrees and 32 minutes is in there, and yet there is enough torque in my models when I make this long thing, so that you can pull them together. In other words, in the twistability you can get one to wind in tight enough so that it will hold. But, they want them to spring. That was one thing that they couldn't quite understand that the child wants to, tends to unzip from his mother. So here is the unzippability, suddenly there. I was able to explain this to the Watson-Crick Wilkens group, and that has found considerable favor with virologists. It's probably so. But their model looks so strange, that they don't think about it as being tetrahedronal. But I find that human beings are just not tending to think. If you want to get the kind of experience that you are having with me, you are going to have to always think tetrahedronally, and realize that really all helixes are really brought about there are many ways that you can make them by taking strange match boxes and other tricks and put them together but it always comes out following the same rules and laws.

Next picture please. This is simply a picture of the, when I gave you the hammer thrower, and showing precession and why the wheel tilted the way it did. This is part of my if any one of you would like to, you can go back and look at the May, 1940 FORTUNE magazine and you'll find my explanation a double spread page of the gyroscope. Which the Sperry Company said was absolutely faithful, and they didn't think it could be done, but it was done.

Next picture. Now, I'm just looking at a large tetrahedron, and inside of it.. And the octahedron, and so forth.

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