The purpose of the model is to show the polyhedral relationships which R. B. Fuller describes in his book Synergetics as well as the polyhedra and "Pattern Knot" Lynnclaire Dennis saw during her "near" death experiences.

There are several projects underway investigating the possibility of applications of this geometry particularly as it applies to electrical (and other?) energy generation. (I'll have more to say about physics applications below.) Some of these researchers have developed similar (centainly related) geometric models.

But let's first enumerate the polyhedra in this part of the model....

The polyhedra in this part of the model are

- Tetrahedron (smallest in white)
- Octahedron (smallest in white, others in yellow)
- Cubeoctahedron (red)
- Cube (pink)
- Rhombic Dodecahedron (light green)
- 144 triangular faced, concave-convex polyhedron (purple, yellow, pink and light green edges)

Lynnclaire describes the 144 polyhedron from her experiences.

Some of the interesting properties of this model are that:

- All the (x, y, z) coordinates of all the
vertices (
the lattice points) are integers only.*all* - All the volumes of all these polyhedra are
integer valued. (This occurs when the volume
of the smallest tetrahedron is
to be one unit of volume.*defined*

The outer knot is one of the most interesting knots in that it defines (or is defined by) several of these polyhedra. I have shown on other web pages how this particular Knot is related to the tetrahedron and the octahedron.

When this knot is made using a small number of straight sticks with flexible joints, I have shown that it can be mapped onto a cube, onto the cubeoctahedron and within the icosahedron. See, for example, this web page.

With all these relations to the polyhedra, I feel that it is very important to include this knot into the model.

Prof. Lou Kauffman has also been working with this and other knots.

Lynnclaire Dennis introduced me to this knot. She experienced this knot as a very dynamic entanglement of energy/light.

There is a lot more that could be said about this knot. Please see the above references/linked web pages as well as Lynnclaire's web page.

Let us count the number of BB's (lattice points) in this model....

This model was made from closest sphere packing. It
has one sphere in the center. Then 12 spheres
surround this one sphere. Then 42 spheres are added.
And then another layer of 92 spheres
is added. The general formula (which I learned from
Fuller's
Syneregtics
)
is _{s} = 10F^{2}+2.

So, the bases for this model is a 3-frequency Cubeoctahedron (which Fuller calls a Vector Equilibrium or just VE).

But this model is not a 3-frequency VE. We take away 12 spheres from the 3-frequency VE, one at each of its 12 vertices. (For more details on this aspect of the model, please see this related web page where I show this development with pictures. )

Then, in order to complete the outermost Octahedron (yellow) we need to add 6 sphere.

Summing this all together we have

1 + 12 + 42 + 92 - 12 + 6 = 141

Lynnclaire's description of the dynamics of the 144 polyhedron includes energy/light emerging from 48 vertices in groups of 6 (8 groups of 6). Looking at the polyhedron model above and on the previous web page, we can clearly see 8 groups of 7 vertices, which is 6 vertices around 1. Maybe there is some energy phenomenon which we can tap into, if this model relates to anything physical.

As I mentioned previous, there are other researchers using similar geometry considerations in their energy research. But, as far as I know, not in exactly the same way as I am about to describe.

Looking for a possible relation between the polyhedron model and some physics, I consulted a chart of the nuclides to see if there are any stable nuclides with 141 nucleons. (I am well aware of the nuclear model of Prof. N. D. Cook who uses a FCC (Face Centered Cubic) (isotropic vector matrix, according to R.B.Fuller) lattice model of the nucleus. So considering the above model as the nucleus of some atom is not all that "far out" to me.)

WARNING: The next paragraph is very speculative and most likely wrong. But sometimes its just fun to let your imagination run wild....

I find that Praseodymium (Pr) is a stable nucleus with 59 protons and 83 neutrons (59+82=141). I don't know much about Praseodymium. Could be interesting to look into. In particular, it would be interesting to learn if atoms of Praseodymium occur in a FCC lattice. This would mean that we would have and FCC latice in the nucleus and an FCC lattice at the moleculer level. Then, it might be interesting to try to get the two levels to line up or couple or resonate in some way. Maybe Lynnclaire's energy emergence from 48 vertices of the model is a vacuum energy pump that the "zero point energy" folks have been looking for. The nucleus would pass the energy up one level to the atomic level and then at the atomic level, being of the same geometry (maybe) the energy would get past up another level to where we can tap into it.

Anyway, not knowing much about Praseodymium (but I will in another day or so), I started looking at other possiblities....

If we were to truncate the model (remove the vertices furthest from the center) we would be subtracting 6 vertices, one from each of the outer most octahedron's 6 vertices. This leaves 141-6=135.

Again, considering the 135 as nucleons, I find that
this corresponds to .... ** Barium**! (It
might correspond to other nucleons as well.)

Barium has an interesting/odd relation with the UFO and free energy folks. It is rumored that several people have built free energy and anti-gravity devices using Barium. Floyd Sweet is rumored to have used Barium Ferrite magnetics in some of his devices.

Barium Ferrite magnets are no longer manufactured in the U.S.A. The conspiracy folks seem to think this is because of its use in free energy and antigravity devices. I have called several magnet manufacturing companies as well as a U.S. customs import agent. They tell me that Barium Ferrite is no longer manufactured in the U.S.A. because of the hazardous waste by-product produced during the manufacturing of the magnets. Barium Ferrite magnets are available from other countries and you can import them. (I have.)

Barium Ferrite has a BCC lattice structure, which is very close to a FCC structure.

Barium ...

Wait a minute....

I ** just** looked up Praseodymium in a book
I have on my desk: "Handbook of the Elements" by Samuel
Ruben. I was looking up Barium (for reasons I'll
explain in a moment) when I woke up a little and realized
I could turn to Praseodymium and find out if it
occurs with a FCC crystal structure.

**Its close!** The crystal structure of
Praseodymium is "Hexagonal, close packed."
This is related to FCC, but not exactly the same thing.
In FCC, there are 12 atoms around 1 atom.
This is the case for "Hexagonal, close packed"
as well: 12 around 1.

If you consider the 12 around 1, we have 3 on top, 6 around one in the middle, and 3 atoms on the bottom.

Now, for FCC the 3 on the top do not line up with the 3 on the botom. They are not directly over each other. This is refered to as "ABCABC..." layering sequence.

For Hexagonal close packed, the 3 atoms on top do line up (are directly over) the 3 atoms on the bottom. The is refered to as "ABAB..." layering sequence.

The difference is a 60 degree rotation.

I just checked my Goodfellow catalog of metals. They sell Praseodymium. A rod 6.35mm diameter and 50mm in length, cast, costs $303, (99.9% purity.) (This is not a single crystal. I wonder if crystals of any significant size can be obtained. This material oxidizes rather easily, so not easy to handle.)

Back to Barium, I was trying to remember some details about Barium Titanite which is a peizoelectric crystal. I know of some people that claim to have obtined "over unity" energy output using peizoelectric crystals.

Interesting... But will any of this lead to anything useful?

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