As I have already indicated in my introduction, I was aware of the Lo Shu diagram some years before ever becoming aware of Abrahadabra and had worked with it extensively both in terms of divination applications and as a tantric guide, or scrying tool. For some time I regarded these things quite separately since there really seemed no reason to think otherwise, until one evening as I was in the process of trying out a new mantric formula, it suddenly occurred to me that the Lo Shu Diagram and the Tetractys of the Decad were actually expressing the same exact thing but from slightly different angles. Certain geometrical parallels naturally exist between the Abrahadabra Grid and the Magickal Qameas of the Tree of Life to begin with upon close examination. If you count the number of isometric triangles (both ascending and descending) in rows as they unfold in the Abrahadabra Grid, you will notice that the total number of triangles found at each successive row exactly match the number of squares that would normally apply to the Magickal Qamea (or magical square) corresponding to that row's number. The first actual magical square begins with a 3 x 3 square which appears at row #3 on the Abrahadabra Grid and reveals exactly 9 triangles corresponding to the 9 squares of the Lo Shu, also called the Qamea of Saturn in the Tree of Life. Continuing down to the 4th row we find a total of 16 triangles corresponding to the 16 squares of the Qamea of Jupiter (4 x 4) and so on, without exception, until we come to the last row of triangles within the Abrahadabra Grid which nets a tally of 100 triangles, exactly corresponding to the 100 squares in the Qamea of Earth (10 x 10). This is just a coincidence of geometry in itself but amounts to a compelling argument suggesting that magical squares and their corresponding magical triangle counterparts share some kind of synchronistic relationship that has not been very much observed or explored to the best of my knowledge. Since the Lo Shu houses the 9 principle ternary bigrams as well as the Qaballa of 9 Chambers within these subdivided compartments, we may also know that the Tetractys of the Decad accomplishes this as well. And yet, in all other respects, magical squares and magical triangles would seem to have little in common, since it is simply not possible to achieve in triangles the exact numerical symmetries found in squares.

There are times when being an experienced Scryer amounts to a significant advantage when the matter turns to analyzing numbers. Scrying deals rather closely with a branch of mathematics called "topology" and tends to hover around symbolisms that may have very specific kinds of topological properties. I knew from having spent a great deal of time working with the Unicursal Ogdoad that the appearance of the ascending - descending pentagrams was an extremely dynamic energy devise that was in plain truth oftentimes difficult to contain for the power surges it would unleash. Were it not for the fact that I had also developed and equally powerful centering and grounding formulas to mediate it, I think it might have been nearly impossible to control in some ways. I began looking at the Tetractys to see if there might be some parallel to this formula that might be observable there as well since triangles are already famous for their ascending - descending qualities, though usually not by way of any other symbolism than the triangle itself.

What I discovered after many failed attempts was that there is a way of counting the points within the Tetractys of the Decad that does, in fact, yield two distinct pentagrammal structures standing - not ascending and descending as I was originally looking for - but rather side-to-side in a sort of intertwined embrace, flanked by the triangle at outer edges. What is even more significant about this is that it is accomplished by arranging the numbers "magically", so that the outermost edges of the triangle all add to the same number (17) with the added benefit that the middle horizontal line also adds to 17, counting the two points on either side of the centermost number, normally called the number of "unity" in most odd-numbered magical square arrangements. If you add in the number of unity (10) to these totals you get 27 throughout, which is important since 27 is the number of primary trigrams in the ternary "trigrammaton". The resulting leylines, looking only at the "magical" lines themselves will be of great interest to any Alchemist as they form the traditional symbolism of Air which is an ascending triangle with a horizontal line crossing the middle. This "Alchemical Air" is somewhat different than the conventional air element of tetragrammaton, in that it actually is a way of expressing the element of Spirit in a kind of "hidden" form, such as appears in the symbolism of the Hanged Man in the Tarot, representing ascension through surrender to Higher Will in that instance. It has come to represent the notion of the Summun Bonum (or the universal solvent) and is therefore a symbolic representation of the Philosopher's Stone itself. All of these kinds of considerations would simply not be possible to those who are only interested in numerical relationships alone, but the appearance of this TwinStar symmetry adhering to classical alchemical criterion along numerous fronts is a major find to a scrymaster. It should also be noted that in order to get the entire TwinStar symmetry, it is necessary to perform the count in two directions, following the symmetry of the traditional mathematical symbol of infinity.  

There are many layers to this whole discussion and I am only covering the barest outline of it in this immediate article, but the end conclusion is that the Tetractys of the Decad is synonymous (in many important respects) with the Lo Shu itself, with the added quality of an accelerated level of efficiency that I would have never before thought possible for the Lo Shu, which certainly lacks nothing in terms of efficiency on its own. Nevertheless the TwinStar is asserting the same essential properties in a stepped-up modality, making it the most efficient possible expression of the Lo Shu that can be arranged in lines and numbers. The magickal properties of the Tetractys were of course treated by Pythagoras and others of his school, but I have never seen this particular arrangement anywhere in print and is to the best of my knowledge an original discovery that I personally feel was revealed to me via the Lo Shu itself through many long hours working with it intimately both in contemplation and in energy manipulation sessions. While it is possible to arrive at other arrangements of numbers that achieve at least part of the "magical" qualities of the arrangement above, none of them yield the leyline symmetry found in this unique arrangement of numbers. It is, simply stated, the single most dynamic magickal sigil I have ever encountered and I have scoured the world over looking at thousands of magickal symbolisms from all points compass. The final boon is that Abrahadabra fits into it quite naturally, and I will discuss the mystery of linking the 11 letters of Abrahadabra into the 10 points of the Tetractys at various other places throughout this treatise.

m1thr0s