Tetraforma

Tetra Forma:
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The Ten Spheres are the numerical powers. These are divided into positive and negative charges, based upon whether they are Even or Odd. The odd spheres are 1, 3, 5, 7, and 9. These five are the Positive Spheres. The total of these added together is 25, which is a 7. The even spheres are then 2, 4, 6, 8, and 0. These are the five Negative Spheres. The total of these together is 20, which is a 2. Refer back to the reduced multiplication table: note that the sequences for the numbers 4 and 5, (as 20 + 25 = 45,) produce a pattern of sevens and twos in the center. This is just another example of synchronization and verification of the system.

This balanced set of ten spheres must be arranged in the tetra in such a way that there is symmetry between positive and negative types. This type is referred to as charge. There are three types of charges as described earlier. The spheres have but positive and negative, there is no neutral charge to spheres. The reason for this is simple: the charges must be arranged so that attractive charges can hold the form together. Like charges repulse each other. Opposite charges attract each other. To find this form, we must use another ancient symbol. Actually, this is not a symbol at all, but a simple table of numbers:

The origin of this number square is uncertain, but most likely Chinese. The square is three by three, for a total of nine smaller squares. All the digits from one to nine are represented once. In this order shown, any three digits added together in a row, whether horizontally, vertically, or diagonally, will have the sum of 15. This is the Square of Three.

The purpose for using it here is that the numbers are also arranged in balance between positive and negative. Only 2, 4, 6, and 8 are represented here as the negatives, as zero is not really a number. These four even digits are placed in the outer corners of the square. As charges, these four would be cornerstones of the structure that would keep the like charges in the central cross from pushing the square apart. In the figure below, the lines of attraction/repulsion are shown. Positive charges pull negative charges toward them. Note how the lines keep the forces in balance:

The lines of force between charges are referred to in the Tree of Life as Paths. In the 2d Tree of Life, these paths are 22 in number, corresponding to the 22 letters of the Hebrew alphabet. If you care to, draw the lines of force in on the 2d tree and see how out of balance it is. There is no symmetry between the charges at all, and this should have been much easier to do in two dimensions than it is in three.

The Tetraform Tree of Life has 27 paths within it. All of these are balanced and symmetrical, as we shall see. The process by which we shall arrive at this form is a matter of converting the square of three into a 3d tetrahedron. The square of three, as it is, is a two dimensional form. It has only length and width. The very process of adding depth to it is simply adding the Zero. The zero is the representative of Space, and a necessary element of volume.

Before converting the square of three into the Tetraform, let us first examine the lines of force we have already seen, since most of these paths will exist in the new form as well. In the diagram above, we saw that there were 16 lines of force. 12 of these are attractive paths, 4 are repulsive paths. If we change the orientation of the figure so the lines are more representative of how they would actually flow, the form is reshaped from a square into a diamond. Really though, through this transition, we are working with a ring of powers around the central sphere of Five. The 12 attractive paths make up this ring, as well as connect it to the center sphere. Looking at this diagram of the diamond, it can be seen how there are 8 paths around the ring, and 4 that connect it to the center. This is very symbolic of the Zodiac. 12 signs: 4 fixed signs, 4 mutable signs, and 4 cardinal signs. The four paths that radiate from the Sphere of Five are the cardinal signs, named for the cardinal points of the compass: North, East, South, and West. Note also that the Zodiac is a 3d form, but the plane of the zodiac, can be described in terms of a 2d surface such as this:

The 12 positive paths listed in order are: 5 to 6, 6 to 1, 1 to 8, 5 to 8, 8 to 3, 3 to 4, 5 to 4, 4 to 9, 9 to 2, 2 to 5, 2 to 7, and 7 to 6. By adding the attracting sphere numbers together in these pairs, the group of 12 breaks down into 4 different types. These are due to the elemental nature of the Zodiacal signs they represent. Note how the cycle of the four repeats itself just it does in the Zodiac. 5+6= 11, 6+1= 7, 1+8= 9, 5+8= 13, 8+3= 11, 3+4= 7, 5+4= 9, 4+9= 13, 9+2= 11, 2+5= 7, 2+7= 9, and 7+6= 13. The total of a single sequence of the elemental pattern is 11+7+9+13 = 40. This shows the numerological relation of Four to the Four Elements. The sum of the pattern repeating three times is 3 x 40 = 120. This number clearly shows the relation to 12.

The relation between these 4 numbers and their elemental counterparts was based upon my own knowledge of numerological symbolism, which may be more Qabbalistic and theological than others. I feel that 11 is Fire, 7 is Earth, 9 is Air, and 13 is Water. There are some good arguments in favor of other arrangements. Some would say that 13, being a 4 base, would much better represent the Earth element. Seven is a known symbol of Air. Nine has been tied to Fire. Two may well be best suited as Water with the ties to femininity. With the Tetraform arrangement of the spheres, however, the 2,7,9,4 sequence, or the reverse, is the natural flow. A sequence of 2,4,7,9 has too many loops. As a disclaimer, understand that this work is not intended as a sourcebook for practical magical ritual. The system described herein is a skeletal system designed to demonstrate the correct form and functions of numbers as related to Science and Religion. To use it fully for magical undertakings of a precise nature will require most of the actual details to be fully tested and fleshed out. This I have not done.

With the Zodiac having been resolved from the Tetraform, there remain 15 paths that have not been discussed. Four of these we have possibly seen. There are four repulsive paths in the Square of Three: 1 to 5, 5 to 9, 3 to 5, and 5 to 7. Only two of these paths will remain after the square is folded into a tetrahedron. Now, for the adding of the Zero. Any four-sided and two-dimensional plane can be folded corner to corner to result in a three-dimensional tetrahedral form. Bending it from being flat automatically adds the third dimension of volume. The two figures below show how this is accomplished. Note how the placement of the tenth and final Sphere of Zero makes the Tetra of equal composition on all four triangular sides:

This process also sets the positions for all the remaining 15 paths to be easily connected and described as the proper lines of force. Depending upon which axis it is folded; two of the above described repulsive paths become connected to the zero rather than the five. As the 5 falls exactly between the 1 and 9 on the numberline, I have chosen to keep this axis intact. The result is that the zero is now between the 3 and the 7. All Ten Spheres, or Sephiroth, are now in their proper positions in the Tetraform. This is the Original Tree of Life that has been hidden within the ancient Qabbala for tens of centuries. I cannot call it the "Original Tree of Life", because that title has been used too often, and by too many people who think of it as the original. The term "TET-RA" is used in honor of the Egyptian Pantheon that inspired this work to begin in 1984. Tet is the symbol of stability that represents the backbone of the God Osiris. Ra is the ancient God of the Sun. The diagram of the Tet-Ra shows all of the spheres with their proper numbers, and all 27 of the attractive and repulsive paths. They each have a symbol in this diagram. The recognition of all the rest of the paths is yet to come: