Category: common

disorderofsevenstars:

The Geometry of Three [7/7/16]

Since 3 and 7 have a sum of 10 [Unity], they are complementary to one another.

A pyramid is defined as a polyhedron created by connecting a polygonal base with a point, known as the apex. This quality of evolving upward toward a single point of unity reflects the strong association of the Pyramid with the Solar number 10. The same is true of its 2D counterpart, the upward-pointing triangle. This shape traditionally represents the element of Fire, which is a property of the numbers 3 and 7. The unifying quality of 3 is reflected in words like Sun and Unity [both 21], which relate closely to 10 words such as Solar [19+0] and Nucleus [37].

Although a pyramid can be based on any kind of polygon, there are two major types which are most commonly encountered. These are the Tetrahedron [a Platonic solid with a triangular base] and the square-based pyramid seen in the monuments at Giza. This dual emphasis on 3 and 4 as alternate types of foundations is reflected in the first two letters of the word Pyramid [P = 4, Y = 3], which correspond to the values of the Mayan calendar signs of Kan [Seed – Foundation] and B’en [Pillars – Support]. The third aspect is Lamat [Star – Apex], which is connected to B’en through a relationship of complementarity, expressed by the sum of 20 which results when their numerical values are are paired in a crosswise manner. Three multiplied by four is twelve, which reduces back to three. The sum of three and four is seven.

I used a simple method for reducing each polyhedron to a single number which conveys its essence. First, each face is converted to a number corresponding to its number of sides [e.g., each triangle becomes a 3]. All of these numbers are then added together and reduced to a single digit. By following this procedure, the tetrahedron comes out to 12 or 3, while the square-based pyramid is 16 or 7 [the same value as the word Giza].

In this way, the relationship between 3 and 7 is modeled by the two primary manifestations of the pyramid form. But it is also contained within the form of the square-based pyramid alone. This pattern is expressed through a process of building up by threes. The 3-6-9 triad seen in the structure of the triangular prism results from starting at zero and repeatedly adding 3. Three iterations of this process yield a final value of 9. Zero and nine, respectively, symbolize the primordial and mature aspects of the Divine Feminine. However, there is another way to do this which produces differing yet parallel results. Starting the process at one yields a pattern of 1-4-7-10, with 1 and 10 representing the primordial and mature aspects of the Divine Masculine. The square-based pyramid follows this pattern, beginning with a single square from which arise 4 triangular sides, creating a form with a combined value of 7 which naturally points toward a single apex, representing 10.

When I was organizing this chart, I decided to include a section on the relationship between frequency, wavelength and energy in various types of electromagnetic radiation. This is mainly because it expresses a very similar numerical pattern to that of the pyramid, with the frequency of every type of radiation coming out to some form of 3, while the corresponding wavelength reduces to 1. The energy of each of these kinds of radiation is expressed through a variation of the sequence 124, which adds up to 7. The four triangular faces of the tetrahedron are quantified as the number 12, to which the square pyramid adds a square base with a value of 4. Although I only had room to include three entries, this pattern holds true across a much longer list incorporating all forms of electromagnetic radiation. The pyramid form does appear to have some unique properties which affect the flow of electromagnetic energy in certain contexts, as indicated by a 2014 [=7] experiment involving pyramid-shaped nanoscale antennas.

While the 1-4-7 triad is characteristic of the pyramid, the 3-6-9 triad is more apparent in the triangular prism. The primary qualitative difference between the Pyramid and the Prism is one of Fire vs. Water, which results from the pairing of the shared element of 3 with either 7 or 6. The Water aspect of the Prism is reflected in its similarity to the biological eye. Whereas the Pyramid channels diverse elements toward a homogeneous state, the Prism does the opposite, beginning with a homogeneous input and eliciting diversity.