Squaring the Square to Reach the Root of the Circle: Reflections on the Watchtower Powers and Gebofal

See update at bottom:

One of the things that has stuck with me since yesterday (Day 37) of the gebofal(-like) ritual is the implications of the various angel “sets,” and how this relates back to the idea of squaring the circle from Days 33 and 34. With four elements and eight different angelic powers per element, and four angels per power and two controlling names of God per power…this gets complicated.

I’ve decided to reduce this largely to the powers and only exploring a single element of fire. Below is a diagram to help illustrate what I’m talking about; the colors are not completed but it’s sufficient:

A squared circle (roughly equal area, as this was done freehand); inscribed within the square is another square rotated at 45 degrees. There are six squares in all like this, with a rotation by 45 degrees for each square. Inscribed within the innermost square (which is rotated as a diamond) is another circle, and an equilateral triangle inscribed within that. The circle itself is quartered by an X, with each limb of the X shown by color (red, white, green, and black). Shown along the fire limb of the X (this could also be shown with any or all of the elements; the fire axis alone is only shown for the sake of simplicity) are four red squares.

Here, I have shown the powers roughly related to the fire quadrant; the order so much doesn’t matter to me, but rather a suggestion of an idea that the kerubs and “lesser” angels exist somewhere within these circles, corresponding roughly to the areas of the numbers 1 through 8 (only 1-4 are shown due to space constraints). I have created square ABCD to indicate an overlap between the powers of 1, 2, 3, & 4 (again, the order doesn’t matter so much to me, because such hasn’t been the order as they’ve arrived, but in this case Living Creatures, Transportation, Gold and Precious Stones, and Medicine).

The key point I want to make is that, regardless of the actual order, my conjecture is that the seniors occupy segments EF, FG, and, not shown, GJ, connecting these overlapping squares. The king would occupy the entire upper-left quadrant (this would require a cross which would make the diagram too busy, but use your imagination). I’ll also note that this roughly overlaps with the symbolism received during the vision:

Early iteration of the symbol: A taijitu with out accompanying inner dots, a Christian cross at its center, a diamond with indented sides about it, and a spiral about it.

The spiral here indicates the work that I’ve been doing to get at the center, and overlays well with the symbolic representation of the Watchtower tablets. The trinary nature of this is further symbolized by adding the pyramid and octahedron:

Later iteration of the symbol.

And finally, a later iteration suggesting the grounding of the symbol within earth:

Final iteration of symbol.

This was later expanded on Day 30.

I am still not entirely clear on the purpose of the triangular portion; I have considered a model of “inside-outside-union” or “God-person-earth” or “Heaven/Future state-Becoming-Earth/Present state”; none of this is clear and I leave it to the rest of gebofal for it to become clear. Nonetheless, the geometry and symbolism continues to hold my focus.

Finally, I wanted to note the general thrust or spirit behind the forms of the powers of the angels:

Transformation: energy/matter qualia change for perception
Transportation: distinction of spacetime for perception
Gold & Precious stones: single-pointed focus of perception
Living: creates ability to perceive
Medicine: agency to continue perception
Secret Discovery: arrangement of perception
Mechanical Arts: arrangement of matter/energy
Natural substances: perception of differences within matter (qualia)
Seniors (“to impart or influence, knowledge and judgment in human affairs”): rules distinguishing perception across perceivers (this includes necessary changes to matter and energy to do so).

Update: So it occurred to me that there are six seniors per element, not three. One could make the argument that there are three seniors going from the outer square to the inner, and then three returning, which is to say EF to FG to GJ (or whatever that final letter should have been: man, I lose track of my own system when I do rush jobs!) and then back again: JG to GF to FE. This implies directionality, and I’m unsure about this.

Another possibility seems more likely: factorial math, where 3! is the number of connections. In the example above, suppose the common point is of square ABCD and the subsequent square with F as its center (yes, I really should’ve set that up better!) is point D (which for the next square would be in the upper-left corner). The next square we’ll label DXYZ (because I have to start at the back of the alphabet now!), the next we’ll label YUVW, and the innermost we’ll label VRST. This would leave three common points—D, Y, V, and S—across four squares per element (recall that I could only show three squares due to space constraints!), representing all four combinations of power dyads. Thus, rather than the centers, we consider this in terms of common points, which themselves connect to each other as six seniors, represented as DY, DV, DS, YV, YS, and VS.

One could take this step further and imagine these six seniors as six points of an octahedron, connecting the more visible angels, each of which occupies a triangle representing a power. Yet there are four angels per power, and two names of God controlling each set of four! For the former, the only thing I can think of is that each Angel set is divided evenly into four equilateral triangles. For the latter, I think about the duality of regular polyhedra (credit to Tilman Piesk), and the dual of the octahedron is the cube, which can be diced into eight smaller cubes, each of which has a point most external to the center, and has the common center among them. Each of the names of God controlling these sets of four angels can be represented as the outermost and innermost points of the smaller cube.

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