3B

To understand the complex cosmology of our actual universe, we have to use the tools given to us with which to measure: we have to make study of numbers, and not in a traditional sense, as facts and figures of weights and measures, of distance and duration. Instead, we must look at certain groupings that combine certain quantitites of objects or ideas. For example, we must make use of the ten sefirot emanations upon the "tree of life." So far, we have studied mainly the systems of seven and twelve, but now I mean to talk about the base ten as well.

But first let me readumbrate the base seven system. Here is how it evolved: it begins with a torus viewed from above at a forty-five degree angle. The torus is a doughnut-shaped object, and the number seven takes to it naturally in the form of its being the minimum number of surfaces that can be mapped onto the doughnut-shaped form of the torus. This is known as the "seven colour" mapping problem. The result of maping seven such contiguous areas onto the doughnut shape is a peculiar kind of spiral. We can use this spiral to measure the surface of the torus. I call this spiral "phi/pi."

Here, however, we see seven applied to the torus at 45° as a means of solving a minimum packing-space arrangement using circles to depict spheres. Generally these 7 "spheres" were associated with the seven visible planets, including the sun and moon, however, as I have already demonstrated, creating a phi spiral using the Pythagorean theorem to "square the circle" and constructing a model in 3-space from the flat, 2-D pattern, are both well documented methods of rendering that make use of the base seven system. Here it has been applied in the form of the minimum number of equal sized objects that can be packed into a torus at a 45° angle.

3B) The geometry of this mechanism (described by the formula: manifestation = the precession of dimension, or, by the shorthand phi/pi) has already ben thouroughly described elsewhere (see tau sub tau). Here, we see the diagram for this basic geometry seen at 45 degrees and at 4-d antipode. The seven spheres involved can be likened to the seven historically known planets, as well as to the seven color spectrum. In the center is the second iteration of the 4-space static DeSitter short-hand.