The Logos Report Vol 3

I am constantly surprised by just how much of figurative mathematics is as of yet undiscovered, especially when it comes to things like triangular numbers, which are not exactly new to the world of math. Nevertheless of the four possible center-cycles of triangles, only one of the features below was represented on the OEIS—the world's online mathematical database. Although recently the OEIS did publish this new illustration I added to A016766 or a(n) = (3*n)^2.

There are only four ways in which figurative triangles can 'center.' Distinguishing them is a prerequisite to alternating the perimeters of a triangular configuration. What's fascinating is that each one of the alternations has important connections to other figurative bodies. This is typically a good sign that the math is not trivial. What is remarkable is how all four cycles can combine together into a master form:

The red/white triangles (on the right) represent the union of the monomeson and nonamesa triangles and correlate with the union of all hexagonal and nonagonal triangular subsets, which include in this rarefied listing both 73rd and 37th triangles, implicit in Genesis 1:1, where T(37) does an alphanumeric somersault to fit within T(73) its prime mirror.

Since all centered polygonal numbers are composed of the building blocks of triangular numbers (See Star Maths) it means that these four new center-cycled-triangles will each create a new infinite family of polygonal number systems, let us call them para-polygonal numbers.

As so often is the case, the historical alphanumeric representation of Genesis 1:1—the very basis of all biblical mathematics—is a perfect example of one of these new para-polygonal numbers at work, this being a dodeca-nonamesa (star) number:

This is important evidence from Genesis 1:1, since the first five words (the first statement: In the beginning God created the heavens-) in the Hebrew ordinal sums to 225. As all star numbers are 12 times triangular numbers plus 1, this pattern is a perfectly engineered self-authenticating reference to the unique reciprocating pattern of Genesis 1:1. A pattern that if it was received by SETI, as a transmission from outer-space, would quickly be identified as an obvious and positive sign of intelligent life.

It goes without saying that the tortoise-shell-like-pattern (2701 above) has something missing from it. What's missing is a sum of one of the most important and well-known prophecies in the Old Testament concerning the virgin birth, as well as the 'Star-out-of-Jacob' prophecy: 181*12 completes the tortoise star = The Virgin/Immanuel Prophecy

The single-centered triangles (monomeson) can also be represented as centered 18-gonal numbers. The 18 triangles of the 18-gonals can be folded up into a Sierpinski-esque hexagon, by triangulating the triangles themselves. These centered 18-gonals can be seen in the interior hexagon in this illustration of mine at the OEIS for the Centered 36-gonals.

Whenever I discover a new pattern like this, I always immediately calculate the most important 37-related pattern, since 37 is the biggest and most established pattern in the Text. Here, Richard McGough's invaluable database led me to this rather stunning connection.

What's truly amazing about this star, which appears to be symbolically representing the wounds of Christ referenced in the verse, is what happens when we fill in the triangular windows.

26,677 + (T(37) x 12) = 13 x 37 x 73 (prime factorization)

This is the first real Star of Stars of Stars, besides being a star (13) of the star of stars of Genesis 1:1.

The above is an exceptional example of Transcendental Figurative Mathematics (TFM) at work, in which an important or memorable event is recorded by a biblical writer, later codified by the Estienne 1551 Versification for the printing process and ultimately proven to be part of the mainline mathematics of body of the Text.

Other new patterns are emerging including this cooperative configuration; the 205 star-net, discovered initially by Leo Tavares. The negative space in the image below represents the sum of the ordinal Greek for Jesus Christ and sits upon the 10th star (and 100th prime number) of 541 the sum of Israel in Hebrew. Negative space is another form of symmetrical mirroring (common to biblical mathematics), herein revealing a key to a greater complexity in the 14th star number.

The current trend in the research is revealing that the more complex the math becomes, the more it agrees with the initial assessment of an engineered alphanumeric. The book I am currently writing aims to outline the primary patterns and mathematical themes seen in the Text and to act as a much needed textbook for this newfound realm of inquiry.

Ad Addendum

—The Israeli physicist and author Yosef Sebag, recently published Torah Numerology: Hidden Mathematical Codes in Genesis 1:1, (from a purely Jewish perspective) but which I am told directly from the source, draws from the research our Leo Tavares and his website (not surprisingly).

—A good site for Biblical Chronology is Yves Peloquin's EzekielMasterKey.com

—Bill Downie's beautiful discovery of the Christ Snowflake pattern, which I formulated and submitted was published on the OEIS not as its own series, but here as a multiple of 12*n + 11 (A017653).

John Elias, 37x73.com