We have referenced E8 symmetry and the E₈ Lattice numerous times and now we want to explain how its complex networking is wired into our cosmology, uniting physics and metaphysics, and how it aligns with and parallels the technology built into the Torah. To do so it is necessary to employ mathematics and abstraction with the common goal to increase our understanding. It is only through understanding that we can achieve Understanding and eventually achieve elevation. As we unwind the intricacies and alignments of the E₈ Lattice, quasicrystals, and their components, we are not trying to delineate specific paths to follow but elucidate and illuminate a global passage to understanding. A crystal is simply a pattern that is periodic, like we find in the relationships of all the myriad Torah elements, and between all the elements of our universe. A quasicrystal is a 2-d projection of a higher dimensional crystal, ergo the Torah scroll is a quasicrystal.  Unless you truly comprehend mathematics, please do not get bogged down in the minutia; they are not as important as getting a sense of the concepts. Some will hold a crystal in their hands and feel a radiating power; others will find a need to examine it deeper. If you can do both, that is incredible. Far more than the numbers themselves, though, it is the relationship between the transitioning dimensions that is important for the process of elevation and for connecting with the higher dimensions that house consciousness.

We think of symmetry as proportionate alignment. Symmetry is much more than that and it is a core concept of the Cosmos found throughout geometry and in mathematics.  It basically refers to an intransience to change when operations or transformations are applied to an object or a coordinate mapping. Those operations or transformations can be translation, scaling, rotation, reflection (mirroring) or glide reflection, or bijective isometric set mapping.

In mathematics, those symmetries are grouped together. Those symmetries fall into the intersection of groupings and dimensional manifolds. The math is advanced, but the principles are a whole simpler than they sound as will be explained. Lie algebra, a vector space combined with a bilinear map, is the mathematics that describes the exponential maps of the Lie wrapping of those dimensional manifolds—that is the complex part.  Reminiscent of the Biblical 5 Kings vs 4 Kings battle with Abraham of numerical value 248, we see that there are 4 infinite families of Lie Algebra (A_n, B_n C_n and D_n) and 5 finite families (E₆, E₇, E₈, F₄ and G₂), with the most complex one of all being the 248 dimensions of E₈.

Every finite simple group of symmetries is either cyclic, alternating, or in one of 16 families of groups of Lie type. Alternatively, it can be in one of 26 sporadic groups, the outliers. There are thus (2 + 16 + 26) = 44 types in total. Of those 44, there are 18 total families–Cyclic, Alternating, and 16 Lie types (families), including the 248-dimension E₈ Lattice—and then there are the 26 outliers, the 26 sporadic groups.

Several hundred mathematicians spent years working on a 10,000-page proof of this and they were astonished that this was it, a truly finite number, 42 defined limited groups of symmetries plus the alternating and cyclic symmetries.  They used a tremendous amount of computer power and searched deep into the mathematical universe to make their definitive determination. Some of them even went so far as to say that the only way this finite grouping of symmetries can occur is through the design of a Creator.

Of the 42, the 26 sporadic groups stand out as a finite signature of the YHVH (יהוה), as do the 18 families that align with the 18³ matrix of verses in the Torah.  Alignment and symmetry are synonymous, and the same patterns hold across the four structures of our cosmology—the Alef-bet, the Torah, the Solar System, and the mathematical and physical constants.  It is no coincidence that 26φ = 42.

Adam, Eve, and the Monster Group

Those brilliant mathematicians found within those 26 sporadic groups one specific group so massive that it contained exactly 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000  different symmetries. This itself is a sign of the Creator, that there were not …368000000241 symmetries for example or that a symmetry so massive could exist.

Nevertheless, within this Monster group, far larger than any of the others, are found bundled exactly 19 of the other sporadic groups of symmetries, as in the back of the Name the YHVH (יוד־הא־ואו־הא). In super simplistic terms, think of this Monster Group as a giant and beautiful and perfectly symmetric diamond and precious gem necklace, and within it are 19 subgroupings of similar yet distinct symmetrical arrangements of precious gems. Only in this case, this Monster Group exists in 196,883 dimensions. While it showed the mathematicians that the playground of the Creator is infinitely large and abundant, the mathematicians still cannot figure out why the Creator would create something so massive that it necessitates 196,883 dimensions.

As with the Adam (אדם) and Eve (חוה) ratios, we know that the relationship of 19 and 26 is built into the Cosmic definition of the physical realm of Man or Zeir Anpin (יוד־הא־ואו־הא), whose front is the purer or dimensionally reduced YHVH (יהוה) of numerical value 26 and whose expansion or back is the resultant 19 bundled within.  This is like Adam (אדם) of numerical value 45, and Eve, Chava (חוה) that came from him and that was bundled inside him of numerical value 19.  The ratio that is symmetrically reflected here is that of the Spherical Time bubble in that 26/45 = .5778 and 19/45 = .4222, which is appropriate given that the 5778-year clock began with the Creation of Adam.

Similarly, the 107^th Triangular Number, or sum of integers through 107, is 5778 and in katan gematria the 4 Yuds (יוד) in the 4 expanded Names of the YHVH (יהוה) equal 44 like the 44 finite simple group of symmetries, and the rest of the expanded letters equal 107.  Altogether, the katan gematria the 4 expanded Names of the YHVH (יהוה) equal (44 + 107) = 151, as in the expanded Name Ehyeh (אלף־הה־יוד־הה), associated with the higher dimensional level of Binah, the 8^th dimensional level.

This Cosmic symmetry extends across the 91 doubled words in the Torah, exhibiting yet another type of symmetry, in that the 26^th pair of those doubled words “Day Day (יום־יום),” is also the 19^th unique pair in the Torah. The word that is doubled, “day, yom (יום)” has a numerical value sofit of 616, while Yom Yom (יום־יום) has a standard value of 112, as in the 112 Triplets of Creation found in “The Torah (התורה),” whose numerical value is 616.  This double pair is repeated 3 times in the Torah, which gives them a total value of (112 x 3) = 336 letters, as in the 336 letters in those 112 Triplets. Those 4 sets of Triplets that comprise the 112 are cosmically and symmetrically aligned with the 4 letters in the YHVH (יהוה); the 4 expansions of that Name; the 4 infinite families of Lie Algebra; the 4 fundamental forces in the physical universe; and the 4 metaphysical vortices of fire, earth, air, and water that are aligned with the 4 forms of energy movement in our world-radial, spatial (centrifugal), counter spatial (centripetal), and circular.

Meanwhile, the sum of the digits (808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000) in the 196,883-dimensional Monster Group that begins with 808, the sofit numerical value of Abraham, whose standard value is 248, is 216, as in the 216 letters in the 72 Triplet Matrix, one of those 4 sets of the 112 Triplets in the Torah. Moreover, there are 54 digits altogether, as in the 54 portions in the Torah and as in the remainder of the two sets of square roots for the 72 Triplets that add up to 1000.054.

The 72 Triplets are one of the 4 sets of Essential Elements in the Creation of our universe that total 112 Triplets or geometrically, 112 Tetrahedra, along with the 14 Triplets of the 42-Letter Name, the 15 Triplets of the Shema, and the 11 Triplets of Bereshit.  It must be pointed out that 216/54 = 4 and that given that the unfathomably large 196,883-dimensional symmetry is so large that the mind of the Creator must be even larger to conceive and house such a structure.

A Purpose to the Absurd Symmetry

Moreover, the 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000 different symmetries in the Monster Group when divided by 8 equal a number (101,002,178,099,314,109,485,807,488,120,213,844,625,719,296,000,000,000) whose 54 digits can be divided into 18 triplets that total exactly 5400, and when the original number is similarly broken down into 18 triplets they sum to 9414, which when added to their 216 total equal 9630 or 10 times 963 or exactly 1/6^th the Spherical Time radius of 5778, and 9 times 107, as in the 107^th Triangular Number, which equals 5778.  Just to be sure that we comprehend and take awe in the complexity in the Creator’s design, we must understand that the volume of the 5778-year radius Spherical Time sphere is 8.08018 x 10¹¹, and that the two time frames, physical and spiritual, are separated by (3760 – 2018) = 1742 years with 424 or Moshiach Ben David Consciousness being the end-goal of the Spherical Time circumference, 36304.24470.

Given all that it cannot be a coincidence that the sum of the 17 differences between the values of those 18 triplets is 440, the value of the 17 first cumulative or Triangular Prime Numbers, or that 440 is (16 x 27.5), as in the Primal Frequency 27.5 Hz.

The Dimensionality of the Alef-bet and the Names of G-d

Dimensional space, as we understand it, contracts as the hierarchical dimensionality descends. The higher dimensions are more expansive and richer than the subsequent lower ones. Given that they occupy the same nominal space, we can say that they are denser and contain much more information and consciousness than the dimension below it. Thus, within the cosmic interface language (Hebrew), the spelled-out (milui) Hebrew Names of the Hebrew letters are more expansive, richer, denser, contain more information, and are at a higher dimensionality than the 22 letters of the Alef-bet themselves, which are their initials. And like the relationship between the concepts of 42 and 26, the relationships between the Hebrew letters and their Names are integrally determined by the constant Phi (φ).

Within the set of all permutations of those letters and their Names are the special subsets of the Names of the Creator, such as the YHVH (יהוה). Like the letters in the Alef-bet, the fully spelled-out Name, such as the AV Aspect of the YHVH (יוד־הי־ויו־הי) is at a higher dimension than the YHVH (יהוה) by one order of magnitude. Moreover, there is an in-between phase as the Name transitions from one dimension to the next. In that transition we have the simultaneous coexistence of the front and the back of the Names. The front of the Name is simply its initials in its lower dimensional state, in this case the YHVH (יהוה).  As the YHVH (יהוה) contracts from the AV-aspect of the YHVH (יוד־הי־ויו־הי), the front part has a value of 26 and the back of 46, splitting the total value of 72 into two sets of values or geometric vertices (26 and 46). Similarly, as the Yud (י) contracts from the YHVH (יהוה), the 26 points or vertices are split into the front 10 and the back 16 of the HVH (הוה), a relationship that we just saw with the 16 Lie types (families) and the 26 sporadic groups. This back/front 16/10 ratio of the Yud (י) is very close to the Phi (φ) proportion (1.6180).

Phasing of the Names

A notable concept to keep in mind is that the backs of higher dimensions do not disappear and still exist concealed within virtual space in the lower dimensions, like shadows projected from beyond. The different Aspects of some of the Names of G-d are the varying ways that those shadows are projected. Nothing disappears entirely. The Names are phased with their spelled-out complete Names from the higher dimension. Thus, the 16 vertices of the back HVH (הוה) of the YHVH (יהוה) still exists in virtual suspension together with the 26 vertices of the higher complete YHVH (יהוה), making (26 + 16) = 42 in total, forming an even closer 42/26 Phi (φ) proportion. There are not actual letters floating up there somewhere in the higher dimension; the Names are unfathomable concepts and networks of superior consciousness intersections. We can visualize them as collections or sets of nodes or vertices—one vertex for each unit value of the letter or Name, a specific matrix.

In the next iteration of the Name YHVH (יהוה) or next higher dimension, the 72 vertices of the AV-aspect of the YHVH (יוד־הי־ויו־הי) simultaneously coexist with the 42 beneath it, totaling (72 + 42) = 114, as in the 114 chakras of Man that include the 112 corporal ones and the 2 extracorporeal ones, just as with the Triplets/Tetrahedra of the Torah.  In geometric terms, the simplest or lowest level of the YHVH (יהוה) is represent by the 8 vertices, 12 edges and 6 faces of the simple 3-dimensional cube, which total 26 aspects or elements in total. As these project into the 2^nd, 1^st and zero dimension, the number of simultaneously existing elements occupying the virtual space of the basic cube increases to (26 + 9 + 3 + 1) = 39, representing the value “YHVH Echad (יהוה־אחד), G-d is One.”

The E₈ Lattice

Within those 42 special symmetry groups there is one that stands out both for its intricate complexity and for its special alignment to the elements of the Torah, the E₈ Lie algebra with its 248 dimensions.  It is immediately apparent that the 42 rows and 248 columns of the Torah relate to those 248 dimensions of the E₈ Lie algebra and the 42 special symmetry groups, and to the Torah’s 248,000φ words, letters, verses, rows, and columns. In mathematics, E is the designation for several closely related exceptional simple Lie groups of dimension 248, and the same notation is used for the corresponding root lattice, which has rank 8.  The E₈ lattice, or crystal, is a grid of tetrahedra with 248 dimensions or nodes. It is far more complex than we can imagine, which is why we only view it as stepped-down projections of projections and slices in the same way that our 3-dimensional physical world is just a reflection of the 8^th level or dimensional hyperspace of Binah that has been collapsed through the 6 bundled dimensions of Zeir Anpin into our world.

It took mathematicians four years using a supercomputer to plot and produce this 2-dimensional representation of the 3-dimensional representation of the 4-dimensional projection of the unfathomable projection of the 8 dimensions with its 248 intersections or vertices.

Through the various projections we can see that the vertices are arranged in 3 main rings of 72, like the 72 Triplets. Also, it is apparent that there is an outer ring of 24 that project from the 8 original vertices or dimensions, and most significantly that the innermost ring of 72 houses a central Magen David composed of the 6 dimensions or vertices that are focused on the most central 7^th position, completing Zeir Anpin with Malchut, our world.

This is not just a virtual star formed by overlapping lines and paths, but two symmetrically arranged oppositional triangles whose vertices are algebraically linked.  Mathematicians are calling the full arrangement or projection an E8 Magic Star.

Yet, just like the Torah and the Names of the Alef-bet, the relationship between the E₈’s myriad components are also based on Phi (φ).

Each of these vertices or 248 intersections are narrowed points only in this projection. Unfolded, as partially exemplified in these illustrations of S7 spheres, they are each highly complex individual hyperspace networks, which is why they can hold and convey endless amounts of information and consciousness.

Think of the power of Deep Neural Network AI, the most powerful form of Artificial Intelligence; it has only an infinitesimal number of neural networks in comparison to E8.

 

 

To give us a fuller understanding of its complexity, the 240 vertices or networks in the accompanying projection form the Gosset polytope or the coordination shell of the E₈ Lattice. They are akin to the 240 unique faces of the 6-dimensional hexeract. Since each of the 7-dimensional faces of the Gosset polytope is comprised of 2160 cross polytopes—the analogues of the 3-dimensional cuboctahedron—and 17280 8-simplices, we can say that each point (vertex) in the E₈ lattice is surrounded by 2160 8-orthoplexes and 17280 8-simplices, and that they form highly complex yet geometric networks in the ratio of 17280/2160 of 8 to 1.

We are not going to get into the weeds of these quasicrystals, just some of their simple relationships.  A simplex is the most basic type of polytope in any dimension, like a point, line, triangle or a tetrahedron or in 4 dimensions a 5-cell, and a polytope is just a fancy way of saying any geometric shade with flat faces like a polygon, cube, tetrahedron, pyramid, or hypercube. An 8-Simplex is just one of those simplest shapes in 8 dimensions.  An orthoplex is a cross-type polytope—the simplest form of which is a square—whose faces are simplexes. The cross polytope family is one of three regular polytope families, labeled by Coxeter, the other two being the hypercube family, and the simplices. That is all we need to know about them; there are volumes of journals that describe them in algebraic terms that we can skip over; we are only concerned with how they network with one another and how that helps shape metaphysics.

For example, each 8-orthoplex is a regular 8-polytope or Octeract with 16 vertices, 112 edges, 448 triangle faces, 1120 tetrahedron cells, 1792 5-cells (4-faces), 1792 5-faces, 1024 6-faces, and 256 7-faces. And there are 2160 of them around each of the points projected above.

The 16 vertices, 112 edges, and 448 triangle faces total (16 + 112 + 448) = 616, the numerical value of H’Torah (התורה). This works out to 4 triangular faces for each edge, 7 edges for each vertex, and thus 28 triangular faces for each vertex, as in the 28 letters of the Torah’s first verse spread over 7 words, which we know is structured around a set of Triangular Numbers, Pi (π) and Phi (φ). As previously explained, when we use an ancient gematria cipher that was rediscovered as a modern Number Theory concept, we can multiple the digits in a number and divide it by the sum of the digits in that number. When applied to the Torah’s first verse of 28 letters and 7 words and multiply it by 28/7 we get 3.141545 or Pi (π).

While the 112 edges and 1120 tetrahedron cells of the 8-orthoplex are evocative of the 112 Triplets or Tetrahedra embedded in the Torah, there is another significant alignment within the 248-dimensional E₈ root lattice that has to do with the E₈ root system.  The E₈ root system consists of vectors, or roots, from 1 – 8 (a₁,a₂,a₃,a₄,a₅,a₆,a₇,a₈) whereby all a_i are integers (i.e. -1,1,0,0,0,0,0,0) or all a_i are half-integers (i.e. 1/2,-1/2, 1/2,-1/2,-1/2,1/2,1/2,-1/2) with their sum being an even integer, and the sum of their squares being 2. There are 112 of these where a_i are integers and 128 where a_i are integers plus ½. Altogether, E₈ has (112 + 128) = 240 roots + 8 coordinates, or 248.

Basic Proportions

The component aspects of the E₈ lattice are all in arithmetic and/or geometric proportion. The 112 edges and 112 integer roots align with the 448 triangular faces as 448/112 = 4 and the 1120 tetrahedron cells are in the 1120/112 = 10 proportion with 10 being the 4^th Triangular Number. As for the 1792 5-cells (4-faces) and the 1792 5-faces, they are in the 1792/112 = 16 proportion just as 1792/448 = 4, and as (128 – 112) = 16, and as in the 16 vertices of the 8-orthoplex.

Using the 128 half integer roots, the 256 7-faces are in the 256/128 = 2 proportion while the 1024 6-faces are in the 1024/128 = 8 proportion and thus 1024/256 = 4. Moreover, the value 128 is 2⁷ and 256 is 2⁸, just like the numerical value of the Ark of the Covenant, and 1024 is 2¹⁰, like the 2¹⁰ word values in the Torah. Meanwhile, those 128 half integer roots divided by the 16 or 2⁴ vertices equal 8 or 2³.

As for the 2160 8-orthoplexes, they are in the proportion 2160/240 = 9, while the 17280 8-simplices are in the proportion of 17280/240 = 72, as in the 9 columns of the 72 Triplet Matrix, and the 17280 8-simplices with their 9 vertices are also 17280/128 = 135 = 15 x 9.

Cosmic Relations

The value 1728 with 28 divisors is not only 12³, but it relates to Spherical Time quotient and Moshiach Consciousness in that the digits in its circumference equal (3 x 6 x 3 x 4 x 2 x 4) = 1728.

While the 112 edges multiplied by 4 equals the 448 triangular faces in those 8-orthoplexes, the numerical symmetry of the E₈ lattice with our solar system includes the 448,000 mph that the Sun orbits the Milky Way and the 448 light-years away that is Polaris, our North Star; the 2160-mile diameter of the Moon; the 240,000-mile distance between the Earth and the Moon; and the 112 times the Lunar diameter fits into the radius created by the lunar orbit of the Earth. Moreover, the precession of the Earth’s equinoxes is 2160 years times 12, or 1^o every 72 years.

The 448 triangular faces in the E₈ Lattice have an analogue in the Essential Cube of Creation. Each corner of the Magic Essential Cube forms a triad with the adjacent positions (i.e., the number 18 corner point is surrounded by the 2, 4 and 5 points). When we add the opposite corner to it (10 surrounded by 23, 24 and 26) we get 112, as in the 112 Triplets. Just as every corner pair will equal 28, every corner triad pairing will equal 112. The 4 corner triad pairs equal (4 x 112) or 448 and the 8 corners themselves equal 112.

As opposed to the corner triads, there are the tetra central axes that each average of 70 (i.e., 7 surrounded by 12, 24, 23, and 11) each, making a total of (6 x 70) = 420. Then when we add to it the 3 in the central axes themselves, that total 210, we get (420 + 210) = 630.

It is notable that the central axes total 210, as in the 210 levels and cubits in the Tower or Truth and the Pyramid; and in the 210 years in Egypt (Mizra’im, associated with the firmament found in the center of the Cube); and in the total gematria of the Torah, 21009826; and in the Planck diameter, 21.0914362859 x 10^-35.

Altogether, the corner groups and axes groups equal (490 + 630) or 1120.  This is not only (10 x 112), as in one set of the 112 Triplets for every sefira of the Tree-of-life, but it is equivalent to the 1120 tetrahedron cells or 70 for each of the 16 vertices in the 8-Orthoplex.

The total number of words, letters, and verses in the Torah is 390,625 or 625². This is also equivalent to the hypercube 5⁴ squared, which is also 5⁸, another hint to the E₈ Lattice hyper structure. Since this is equal to (√5)¹⁶, and since Phi (φ) = (1 + √5)/2, we can understand arithmetically that √5 = (2φ – 1) and thus 625² = (2φ – 1)⁸ and that (2φ – 1)¹⁶ = 390,625, relating the Torah’s structure to both the 8 base vertices of the E₈ Lattice and the 16 vertices of the 8-Orthoplex and all of them to Phi (φ). Adding the 42 Row by 248 Column Matrix, we get:

 

(2φ – 1)¹⁶ + 22³ = 248φ x 10³

And let us not forget that 1120 in base 3 is 42 in our base-10, or 10 sefirot world.

All this architecture in the Magical Essential Cube happens because of its constant 42, which evenly split into .333 and .666 as 14 and 28.  Each opposite corner pair equals 28, as does each opposite axis point.  As does the Hebrew word power, koach (כח) of numerical value 28. As just noted, there are 28 divisors in the number 1728 and while the total gematria of the collective 304,805 letters in the Torah is 21009826, the sum of its digits is (2+1+0+0+9+8+2+6) = 28, while the product of those same digits is (2*1*0*0*9*8*2*6) = 1728.  Applying a deeply revealing form of gematria cipher identified as P/S we get an equation that circles us back to the 28 letters of the Torah’s first verse and to the Essential Cube of Creation, and as we will see to the E₈ polytope:

 

⁴√(P_(21009826)/ ∑(_21009826))) = ⁴√(1728/28) = 2.802828

 

Like the quantitative value 1120 above, the value 1728 is reminiscent of the 17280 8-simplices in the E₈ lattice. Likewise, we have the 8-fold expansion of the Essential Cube of Creation from 27 to 216, as in the 2160 8-orthoplexes and the 216 letters in the 72 Triplet Matrix.

The 248 dimensions of the E₈ lattice not only align with the Torah’s 248,000φ words, letters, verses, rows, and columns and with its 248 columns but they also align with the 5 Names of the 5 Books of the Torah that have a gematria value of 2480, and with Abraham who has one of 248. Abraham’s Name (אברהם) means Exalted Father and is embedded in the first 5 words of the Torah, one letter per word. He lived 175 years and the 16 other letters in those 5 words add up to 1750. Meanwhile, Abraham (אברהם) was first explicitly mentioned in the Torah in Genesis 17:5, the first of the 175 times that it appears among the 248 columns.  Coincidence, or not, Abraham had 8 sons in total just like the 8 spatial dimensions among the 248 dimensions of the E8 lie group and the E₈ lattice.

Each of the 8-orthoplex, like the orthogonal projection of the one pictured, is comprised of 16 vertices, 112 edges, 448 triangle faces, 1120 tetrahedron cells, 1792 5-cells (4-faces), 1792 5-faces, 1024 6-faces, and 256 7-faces or 6560 geometric component aspects in total, which works out to 820 x 8 with 820 being the numerical value of the verse at the heart of the Torah, “Love thy neighbor as thyself.”

Overall, the 2160 8-orthoplex that surround each of the 248 main intersection points in the E₈ have a total of (2160 x 6560) aspects or (524800 x 27) and while 27 represents the 27 or 3³ positions in the Essential Cube of Creation along with the corresponding 27 letters of the Alef-bet, 524800 is the 1024^th Triangular Number, referencing the 1024-word values in the Torah, the 5 Names of the 5 Books of Moses that total 2480, and the 248000φ sum of the 5 quantitative elements of the 5 Books, whose 3 main quantitative elements equal 5⁸.

As for the 8-Simplex, its components are based off its 9 vertices and they total 510, like the gematria milui or spelled-out value of the letter Resh (ריש). This makes the total geometric aspects for all 2160 8-orthoplexes and 17280 8-simplices that surround each of the 248 intersection points equal to (345 x 66615.65) as in the numerical value of Moses (345) times the speed that the Earth orbits the Sun, 66615.65 mph with the 1565 component being the string gematria of the Name YHVH (יהוה).  It is also (228 x 100800) or the value of the 10 sefirot (dimensions) of the Tree-of-Life (עץ־חיים) times the conjoined diameters of the Earth and Moon (10080 miles).

It is also 633.05 times the circumference of Spherical Time (36304.24470 years) with 633 being both the gematria milui value of the word for Light (אור), the energy force of the Creator, and the digit location in Pi of the first or the 3 numeric strings …5778… within its first 1000 digits with 5778 being the radius of Spherical Time.

Moreover, those total geometric aspects for all 2160 8-orthoplexes and 17280 8-simplices is the product of 1143 and 20,107, with 20,107 being the exact number of final (sofit) letters in the Torah, and 1143 being both the value of the first row of the 72 Triplet Matrix and the average column value of that same Matrix. The value 1143 is also 8000/7 with 8000 being the total of the 8 subsequent rows or 1000 per row. This in turn is like the 1000.0 total of the square roots for the 72 Triplets and 9 rows of the Matrix that are split 720.0 and 280.0 as previously explained. This relationship within the Matrix is like the 17280/2160 = 8 ratio of the 8-Orthoplexes to the 8-Simplexes, and the 1000 per row and/or per column of the 8²-foundation grid of the 72 Triplet Matrix. It is also like the 1000φ quantitative elements per column of the Torah’s 248 columns and the first 10³ or 1000 digits in Pi (π) that add up to 4470 as in the Spherical Time circumference, 36304.24470.

Meanwhile, the 10 Commandments are found at the 20^th chapter and 107,000 letter of the Torah and 5778 is the 107^th Triangular Number, the sum of the integers from 1 to 5778, while 107 AU is the radius of our planetary system, and the Earth orbits the Sun at 107,000 KPH, whose surface temperature is 5778 K while that of Neptune, the 8th planet, is 72 K.

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While the 8-Orthoplexes to the 8-Simplexes ratio is 17280/2160 = 8, the ratio of all the geometric elements between them is 14169600/8812800 or very close to Phi (φ), just as φ¹⁸ is exactly 5778.000. Meanwhile, the difference between them, 5356800, is both (2160 x 2480), incorporating the sum of the Names of the 5 Books, and is in the approximate ratio of 1/φ with the 8812800 sum of the elements in the 8-Simplexes.  Phi(φ) appears in the ratios of the quasi-crystals and as mathematicians have proven, the entire E8 system is very much aligned with the universal constant Phi (φ) on multiple scales.  For more serious students of mathematics, one such example involves computing the 9 eigenvalues of the Cartan Matrix of Lie algebra E9, because it encodes all the properties of the E8 Lattice, where we see that half of the diagonals of the Eigenvalue matrix are directly related to the square of Phi (φ) and that the Phi (φ) constant appears all over the Eigenvalue matrix.

The 14169600 elements in the 8-Orthoplexes form a ratio of .3780 to the 5356800 difference between the two networks, as in the numerical value 378 of chashmol, Hebrew for the angelic cloaking and in modern Hebrew, electricity, and as in the famous phrase “Echad Ushmo Echad (אחד־ושמו־אחד)” or “His Name is One.” It is also the value of the 27^th Triangular Number or sum of the 27 ordinal values of the Alef-bet and as in the collective value of the 5 final letters (ךםןףץ) and their original form 5 letters (כמנפצ) or (3500 + 280) = 3780.

Furthermore, the ratio of the total elements that surround each of the 248 dimensional vertices to that difference between them, 22982400/5356800 = .2330, as in the sum of the second iterations of the Names YHVH (יוד־הי־ויו־הי) and Ehyeh (אלף־הי־יוד־הי) that equal (72 + 161) = 233, the 13^th Fibonacci Number, while 2330 is the sum of the consecutive 28^th and 29^th Prime Numbers (107² + 109²).

Meanwhile, there are 248 x 17280 8-Simplexes in the E₈, which is very nearly 23.00 x 186,282 mps, the speed-of-light woven into Spherical Time. It also works out to exactly 620 x 864 8-Orthoplexes, as in the numerical value of Keter, the crowning dimension atop the Tree-of-Life, and the 620 letters in the 10 Commandments multiplied by the diameter of the Sun, 864,000 miles and/or the 86,400 seconds in an earth day.

It would appear that the design of the most complex E₈ Lie system, the Torah, the Alef-bet, the mathematical constants, and our Solar System share the same Architect or Creator.

The First Triplet

The first Triplet (ברא) of the 112 Triplets concealed within the Torah is not only found within the first 3 letters of the Torah and of Abraham’s Name (אברהם), but it is also repeated 3 times in Genesis 1:27.

“And God created man in His own image, in the image of God created He him; male and female created He them.”

 

“וַיִּבְרָא אֱלֹהִים אֶת-הָאָדָם בְּצַלְמוֹ, בְּצֶלֶם אֱלֹהִים בָּרָא אֹתוֹ:  זָכָר וּנְקֵבָה, בָּרָא אֹתָם.”

Among the deep hidden knowledge in this verse is the phrase “In G-d’s image (בְּצֶלֶם אֱלֹהִים)” of numerical value 248. One of those hidden secrets is that Elohim (אֱלֹהִים) has the same ordinal value (41) as Abraham (אברהם) for a total value of 127, as in Genesis 1:27, Sarah’s age (127) and the Mersenne Prime (2⁷ – 1). Another is that the word image (בְּצֶלֶם) has the same ordinal value (45) as the value of Man, Adam, and a total value of 207, that of raz (רז), secret and Light (אור), the radiant energy force of the Creator.

Out of the 13 words in the verse, the word created (בָּרָא) is repeated 3 times, leaving 10 other words, and according to the kabbalists the word image (ְצֶלֶם) has the same gematria as tree, Etz (עץ), because it refers to the image of the 10 sefirot (dimensions) of the Tree-of-life. The full tree is comprised of 3 iterations of the 10 sefirot (dimensions) or 10³ = 1000.   While “In [G-d’s] image (בְּצֶלֶם)” has the complete gematria of (162 + 45) = 207, the gematria of Light (אור), the opposite of physicality and 45 is that of Adam (Man) and the aspect of the YHVH (יהוה) associated with the dimension of Man, the value 162 approximates 10 times Phi(φ) of 161.8 with the two letters in tree, Etz (עץ) being the 16^th and 18^th letters in the Alef-bet.

Meanwhile, both “In G-d’s image (בְּצֶלֶם אֱלֹהִים)” and “in the image (בְּצֶלֶם)” begin and end with the letters Mem-Bet (מב) or 42, just like the 42 journeys of the Israelites and of our souls or consciousness units and as in the 42-Letter Names of G-d and the 42 rows in the Torah.

Just like the average total value for the 4 sets of the 112 Essential Triplets with the 27 positions of the Essential Cube is (16,992)/4 = 4248, which equals the value of the 22 Names of the 22 Letters, the average number of Triplets per set is 28, as in the 28 letters in the Torah’s first verse, the 2^nd Perfect Number (28), and the 28^th Prime Number, 107.

When we add 28 to the 1792 or (28 x 64) faces we get (1792 + 28) = 1820, the number of YHVH (יהוה) in the Torah along the Path of One.  Those 1792 4-faces and 5-faces in the E8 are analogous to the 1792 faces of an 8-dimensional hypercube. At the center of that 8-dimensional hypercube is the 3-dimensional Essential Cube of Creation of 42 and at the center of that cube is the central position 14, which is the relationship between 1792 and the 128 integer roots, (1792/128) = 14, as in the 14 Triplets of the 42-Letter Names. Meanwhile, it may be a coincidence that (112 x 128) = 14,336 as in the central 14^th position and the 336 letters in the 112 Triplets.

Of those 1820 YHVH (יהוה) there are precisely 1526 YHVH (יהוה) without a prefix, and 1729 times that the exact value (26) of the YHVH (יהוה) appears in the Torah, which leads us to (1729 – 1526) = 203 times that the value (26) applies to a word other than the YHVH (יהוה), as in the Torah’s first Triplet of numerical value 203.

The Third Iteration and the 600-Cell

In the next iteration/expansion of the YHVH (יהוה), its total value expands to 708 with 108 as the front or initial vertices and 600 vertices as the value of the backs of the Names. Those initials, which total 108, are exactly 18% of their backs, 600.

That total value of 708 matches the combined surface temperature of all 6 of the planets beyond Earth, 708 K, while that of Mars, Saturn, and Uranus is 420 K.

The 600 vertices of the backs of the 3 expanded dimensions of the YHVH (יהוה) align nicely with the E₈ Lattice, Phi (φ), Torah, and the Spherical Time component of the Cosmos.

Projecting the 8-dimensional E₈ Lattice into 4-dimensional space we get a 600-cell quasi-crystal or 12-sided dodecahedra, a tetraplex. The 600-cell’s boundary is composed of 600 tetrahedra with 20 tetrahedra meeting at each vertex. Together they form 1200 triangular faces, 720 edges, and 120 vertices with 5 tetrahedra meeting at every edge. The 600 vertices of the backs of the 3 expanded dimensions of the YHVH (יהוה) are not points but 3-dimensional tetrahedra like the 112 Triplets, giving each one 4 faces, 4 vertices and 6 edges with which to interact and network with.

It is there quite possible that the back of the higher dimensional YHVH (יהוה) is a 600-cell tetraplex, and 108-unit front would be an even higher dimensional network, probably 4 networks of 27 dimensions each as we will see shortly. As previously stated the Names are not units of letters, but specific concepts or Aspects of the Creator and thus discreet units of higher level consciousness.

The 57 Group

This 600-cell or 600 tetrahedra sphere is built around a single central or seed tetrahedron whereby 4 tetrahedra join it, one tetrahedron to each of its 4 faces. These 5 tetrahedra are joined by 12 more which attach to them edge to edge, rather than face to face, closing off the geometric gaps. Next, 4 groups of 10 specifically arranged tetrahedra or 40 in total attach to the base group of 17, forming a special symmetric group of 57 or quasiparticle, as in the complete value of 42 (מב).

Perhaps it is coincidental that a giant Tetrahedron was constructed to anchor the wealthiest street in the world, at 625 W 57^th Street, or H’keter (625), the crown of 57, the numerical value of zan (זן) sustenance, or that the main flanking cross streets are 42^nd and 72^nd streets.

Nonetheless, the 57 group breaks down to a tetra-helix spine or chain with 2 tetra-helix chains wrapped around it in opposite directions like our DNA. The spines or chains must be paired right-handed or left-handed, making 2 groups of 57 with complementary directionality. Two (2) of these groups of 57 quasiparticles form 114 tetrahedra or 56 each centered on a single seed tetrahedron. This makes a set of 112 centered about two complementary tetrahedra, or 114 in total, just as we find with the 112 Tetrahedra of the Torah and the 2 seed Tetrahedra that encapsulate the 112 + 2 concealed Triplets, which in turn align with the 112 chakras of the human body and the 2 external ones.

Moreover, each 57 group is thus comprised of 3 chains of 19, as in the back of the Aspect of the YHVH (יהוה) associated with Man or Zeir Anpin (יוד־הא־ואו־הא). Please note that the gaps in the accompanying renderings are because they are rendered in 3-dimensions and the shapes are 4-dimensional quasiparticles. In 4 dimensions there are no gaps between any of the tetrahedra and they fit together or tile perfectly.

The 600-cell is constructed of these unwrapped tetrahedra spines or helixes that form mobius strip rings of 30 tetrahedra each. There are 20 of these mobius strip rings that fit perfectly together and do not overlap. The rings that they seem to trace are called discreet Hopf fibration rings.

Six (6) of these mobius strip rings fit together and form an icosa-ring or toroidal tetrahedral ring composed of 180 tetrahedra with each vertex forming an icosahedron of 5 tetrahedra. Metaphysically these 6 rings could be analogous to the 6 lunar ellipsoids of the Cosmic Wheel.

The 57 groups propagate along these closed rings, as can be seen in the accompanying pictures with the 57 group walking along the tetrahedral ring. In a 4-dimensional quasicrystal there are many 600-cells all comprised of these rings and the 57 group can propagate or walk between them in a wave-like propagation pattern, passing from cell to cell, reminiscent of the walking amnio acid structures that regulate the functions along the helices of our DNA.

The 600 vertices conform wonderfully to the 600,000 component letters in the Torah, which in turn conform to the 600,000 men in the 12 Tribes at Mt. Sinai. One letter per man, one man per cell or tetrahedron; everything its place. The 600 also conform to the 600 years of Noach’s life before the flood and the 600 choice chariots that drowned in the flood after the splitting of the Red Sea.

The geometric Triangular Numbers play such a large part in the Torah and Cosmic schematic that it is no surprise that we also find that the cumulative sum of the first 600 Triangular Numbers equals 36180200 or equal 10⁷(φ² + 1), representing a 7-fold fractal expansion of physicality based on Phi (φ).

Is 10⁷ an innovative way for the Cosmos to build in the 107^th Triangular Number and attach it to the Torah speed limit of 600,000 Men and 600,000 Letters? Clearly the two censuses were taken 40 years apart and the tally did not budge over 600,000, after surging from 70 a mere 210 years earlier. The value 600,000 was the limit of the Israelite Men; 600,000 component Letters was the limit of the Letters in the Torah. Pharoah had a huge army, yet 600 chariots was the limit that he could send after the Israelites, and the log of 600,000 is 5.778, as in the Event Horizon radius (5778 years) and the limit of the Spherical Time bubble.

The value 600 appears to be a limit in the Torah and it is represented by the Hebrew letter Mem sofit (ם), which has a standard value of 40, the other limit in the Torah: 40 days and 40 nights, 40 days for Moses to ascend Sinai, 40 days in between, 40 days to ascend again, 40 years in the desert, 40 years until Isaac’s wedding, 40 years to become king, etc.  According to the Arizal, the letter Mem sofit (ם) is associated with the womb and the 40-week human gestation period. The Hebrew word for womb rechem (רחם) has a numerical value of 248, as if the 248 dimensions within Binah and the E8 structure are a womb for the 7 dimensions of Zeir Anpin and ultimately our world/existence, just as the ancient texts tell us. Like Rechem’s (רחם) nominal value 248, both its sofit value (808) and its ordinal value (41) are identical to those of Abraham, and align with the 41 letters in the thrice expanded Name Ehyeh (אהיה) associated with Binah.

The number 40 was not chosen randomly. A circle of diameter 40 has a circumference that is exactly in the ratio 1/288.9 of the Event Horizon Spherical Time circumference of 36304.24470, and while 288.9 is the surface Temperature of the Earth (288.9 K) and exactly 1/20^th the surface temperature of the Sun (5778 K), it is also the midpoint 2889 HC in the crucial 5778 year Spherical Time radius, the midpoint in King David’s 70 year life.

The dimensionless number 40 is also the circular balancing point whereby the area of the circle of diameter 40 is exactly 10 times the circumference of the same circle, as in the 10 sefirot (dimensions). Any number less than 40 has a ratio less than 10 and any number greater than 40 has a higher ratio with each integer representing a ¼ point (.25) increment.

It is not for nothing that the letter Mem (מ) is the 13^th letter in the Alef-bet, as in Echad (אחד), One.

Be that as it may, the circumference and the area of the circle of diameter 40 are 125.6637 and 1256.637… respectively, which just so happens to be the magnetic constant, or the force exerted between two currents in free space. It is written as μ₀ = 4π × 10⁻⁷ H/m ≈ 1.2566370614…× 10⁻⁶ N/A² (Newton/ampere squared) and determined as the force set at 1 meter apart. If we convert that to feet at 3.28084 ft/meter then the magnetic constant becomes .38302296……× 10⁻⁶ N/A² with 3830 being the year the Second Holy Temple was destroyed, 70 CE and 2.29 being the 27.5/12 ratio of the foot to the cubit, which is necessary to build the Holy Temples. The First Holy Temple was destroyed in 3338 HC or (5778 x .5778).

The relationship between the Earth and Sun built into these equations is extremely significant to the metaphysical design of our cosmology and solar system. Our Moon orbits the Earth at a radius of 112 Moons and over the course of a solar year it takes (12 x 29.5) = 354 days. While it is doing that the Earth orbits the Sun in an elliptical dance around it that loops repeatedly, each path equidistant yet a bit different than the previous, resulting in spirograph that has a circle traced around it. Each of those looping ellipses is 365.256 Sideral Days around, and this works out to (365.256 – 354) = 11.256 days longer than the lunar annual ellipse or lunar year, aligning it with the 1.256637, 125.6637, and 1256.637 measures of the 40-unit circles and magnetic constant. But what is truly astonishing is that that Earth ring of ellipses around the Sun is 112,000 years long. It takes the Earth 112,000 years to reach its starting point; in other words, for its ellipses to complete One (1) revolution around the Sun.

The 600,000 Limit

One final note about 173, the 40^th Prime Number and small gematria value of the 42-Letter Name, the Singularity. When multiplied by 5778, the Event Horizon, it equals (173 x 5778) = 999,594 = (1,000,000 – 406), just like the total gematria value of the 50 component letters for the entire Torah that is (600,000 – 406). And while the log of 600,000 is 5.778, the value 1,000,000 is 10⁶ and its log is thus 6. Thus, while 600,000 is .6 of 1,000,000 and (406 x 6) = 2448, the year the Torah was received at Mt Sinai (2448 HC), the difference between them is exactly 400,000, as in the 5 quantitative elements of the Torah that equal 400,000 + 1273, the Harmonic Coefficient and ratio of a square to an inscribed circle.

Hopf Fibration

A sphere or ball is a 3-dimensional object much like a cube, but its surface is flat 2-dimensional wrapping around the cube, much like the 6 faces of a cube when unfolded. Hopf Fibration is a mapping of that 2-dimensional surface of the 3-dimensional sphere. That mapping gives us a shape that is one dimension higher and thus 4-dimensional. Hopf Fibration is a set of threads in 4 dimensions, in other words in Cartesian 4-Space. Each one of those threads came from a simple specific circle drawn around the 3-dimensional sphere.

Breaking it down a little further, the sphere, like the Spherical Time surface, is a series of points or coordinates based on One (1). For a 3-dimensional sphere those coordinates must fulfill the equation x² + y² + z² = 1 and with each subsequent hyper sphere, the number of coordinates whose squares sum to One (1) is equal to their dimensional rank. Thus a 4-sphere fulfills the equation x₀² + x₁² + x₂² + x₃²= 1.

The reason we keep bringing up vectors and matrices is that each of those coordinates (x₀ + x₁ + x₂ + x₃) is a vector and vectors can be transformed by multiplying them by matrices, and matrices and their more complex arrays are at the core of the Torah’s design, including the 4 sets Of Essential Triplet matrices.

The circles are nothing more than symmetrical loops of those points around the surface of the sphere, and these loops are the fibers that compose the hypersphere. Keep in mind that each circle is an infinitely rotating vector of fixed length at a specific point within the sphere.

As the circles add up, we see that the most basic shape formed is the torus and then the inner hyperboloid or hourglass of the torus which is why this is an analogue to the sphere and why we refer to the Spherical Time bubble as a sphere and a torus with the toroidal shape. To relate this to Lie groups and symmetry, the circle recycles at 2π and we see that S1 or SO (2) describes all the angles in a 2-dimensional circle and thus represents the circle.  The torus is a multiplication of S1 x S1 or SO (2) x SO (2), special orthogonal group (2).

 

As the circles add up, we see that the most basic shape formed is the torus and then the inner hyperboloid or hourglass of the torus which is why this is an analogue to the sphere and why we refer to the Spherical Time bubble as a sphere and a torus with the toroidal shape giving us a better understanding of the recycling and cyclical nature of our time, and the sphere giving us a better understanding of the parallel Phi (φ)¹⁸ wrapped timelines or time paths from the center to the Event Horizon surface. Each time-path follows the Phi (φ) spiral and wraps around 18 times crossing the Event Horizon surface at a radius of 5778.000 years, like the 18³ array of verses in the Torah. At that point it begins winding around the backside of the torus towards the origin, which is why all semblance of time and logic starts to break down with an increasing level of Mandela effects and matrix glitching.

Using the Spherical Time circumference (36304.24470) as the x and y coordinates in a sphere and √3142.00363 as the z coordinate, reflecting the High Holy Names Ehyeh Asher Ehyeh (אהיה־אשר־אהיה) and the 3 iterations of the Names Ehyeh (אהיה) and the YHVH (יהוה) we get a sphere of radius .5778, just like the Spherical Time radius, 5778 years.

Each circle of points traced around the sphere translates to a circle or 4-dimensional loop forming a 3-sphere hypersphere. As the circles add up, we see that the most basic shape formed is the torus and then the inner hyperboloid or hourglass of the torus.

 

 

Each circle is an infinitely rotating vector at a specific point. From a different perspective we see the Hopf Fibration tracing gives us the same fundamental Phi (φ) centrifugal and centripetal spiral radiance we find in the Primal Frequency of the Ether and throughout magnetism and the dielectric fields.

 

 

Then as the looping continues, the translations gives shape to the hypersphere with the inner tori and hyperboloids.

When the intervals between the fibers or looped threads are close together, like the time-paths in Spherical Time, a more solid shell shape takes form.

 

Viewed up close we can see that the fibers are not a continuous line but a series or set of points. These are analogous to the end points of the Spherical Time time-paths that cover the surface of the Spherical Time bubble. It is time as the 4^th dimension or more correctly in 4-dimensional hyperspace.  Keep in mind that the outer edge or surface of the sphere is 5778 years, but up until that point every linear moment had its own spherical boundary with the year 2889 HC as the middle sphere. The radius of the linear time is a vector. Hopf Fibration applies separately to each linear moment in time. When you do something like proper teshuva or the spiritual usage of the Essential Triplets, you do not go back in time, you shift to a new and more advantageous time-path for your spiritual growth.

The radius of the linear time is a vector. There is a specific vector that describes precisely where you are in spherical time to within 18 parts of a minute. It describes not only at what linear moment in time you are at, but where along your spiritual development and what physical attributes you have and are surrounded with. A specific moment in time is couched in a shell of universal physical attributes and development, but your particular place and status within it is determined by where your specific time-path intersects that surface or circumference. That is defined by your vector. Any change in that vector changes your circumstances. By multiplying that vector by a matrix, you or someone can transform and shift that vector. If you think history is being transformed before your eyes, now you know how.

This is how matrices and vectors affect reality and shift time from our perspective, including the 4 sets of Essential Triplets/Tetrahedra.

The Hopf Fibration is utilized to go up and down the dimensional scales.

The Gate to Binah Consciousness, the 8^th Dimension

When the 3 iterations of the 3 expanded dimensions of the YHVH (יהוה) are analyzed, we see that its total value of 708 is split into 108 for the fronts and 600 for the backs and the ratio between them is 108/600 = 18%, aligning it with the 18^o angle that is equivalent to .3142 radians.

The value 3142 is not only the small gematria of “I am that I am (אהיה־אשר־אהיה)” found only once and at Exodus 3:14, but it is also the value of the two most powerful Names, Ehyeh (אהיה) and the YHVH (יהוה), when expanded into 3 dimensions (iterations) together.  The Name Ehyeh (אהיה) is associated with the sefira (dimension) of Binah, the 8^th dimension where the E8 Lie structure is found and where the E₈ Lie algebra applies. The Name YHVH (יהוה) is associated with the 7 dimensions of Zeir Anpin and the fully expanded Name YHVH (יהוה) lies in the transition state between the two dimensions. Thus, we see the fluid relationship between these 3 Names of the Creator as they unfold alongside their dimensionality.

Just as the Name Ehyeh (אהיה) is found exactly 7 times in the Torah, a fourth Divine Name associated with 3142 and the 7 dimensions is revealed through the relationship between the 7 tiers of the 42-Letter Name Matrix and its first level (אבגיתץ) of numerical value 506 along with its small gematria value₀ .123049. Keep in mind that 506 is the numerical value of “unconditional love” and that it is the complete value of Moshiach Ben David, the higher consciousness state.  Since the total value of the 42-Letter Name Matrix is 3701 and (3701/506) = 7.31422, and since 9/.123049 = 73.142 we see the primal relationship between 7 and 3142, built into this Divine Matrix as well. It is not surprising since the 42-Letter Name Matrix is a ladder through the 7 dimensions of Zeir Anpin. It is a nexus to the world of Binah Consciousness established through its linked connection to the Upper 42 Letters of the expanded Name YHVH (יהוה). It is Jacob’s Ladder.

What adds to the depth of this Cosmic meaning is that 506 is the complete gematria of Moshiach Ben David (Cosmic Consciousness), and the square root of 18 is 4.2426… or the numerical value of Moshiach Ben David (Cosmic Consciousness) coupled with the 26 of the YHVH (יהוה), not to mention the casual alignment with 26 sporadic groups and the 18 families of symmetries in the universe. It would appear that the symmetry of the Creator is boundless and reflected throughout all existence.

The value 1571 is exactly half of 3142 or Pi (π)/2 and not only is 1571 the albam gematria value of the Torah’s first verse of 28 letters but it is also the 248^th Prime Number.  Moreover, not only does the Communion (Meeting) Tent (אהל־מועד) that represents Zeir Anpin in that same albam cipher have a hidden value of 248 but the cube root of 248 is 6.28276130… or approximately twice Pi (π), meaning that 2π is the edge length of a cube of volume 248.

As for the highest Name “I am that I am (אהיה־אשר־אהיה)” associated with the singularity of 42 in multiple ways and with 3142, the sofit value for its first two iterations is exactly 5050, the 100^th Triangular Number, the sum of the integers from 1 – 100.

Not just Geometric Elements, but Paths and Gateways.

 

The links within the extreme complexity of the E8 structure are not just geometric elements but are paths and gateways. Like the Pathways of the double cube Tree-of-Life structure they cannot be followed by drawing a 2-d map; the information that will tell us is limited. To explore them we must process them with our consciousness and not our minds.

It is no coincidence that the 42-Letters of the Upper Name YHVH (יהוה) have the same numerical value as “The Garden (הגן),” as in the Garden of Eden. As the cautionary tale goes, Adam had full access to the vast expansion of the spiritual universe and all the dimensions beyond physicality, but once he connected to the limitations of physicality (the Tree of Knowledge of good and evil) he was cut off. Once he began thinking in 2 and 3-dimensions and using his own powers of creativity within the bounds of 3 dimensions he was trapped and could not go back. Our story, the Chronicles of Adam, our journey to get back, began in the 5 verses of chapter 5 of paragraph 13 of the Torah. It began when Adam was 130 years old and begat Seth, whose name is comprised of the last two letters of the Alef-bet (שת), a hidden reference to the 5 Books of Moses that we would receive after 26 generations at Mt Sinai of numerical value 130, in the year 1313 BCE.

The value 13 as in Echad (אחד), One also corresponds to the 13 fundamental particle species in the proton (6 quarks, 6 anti-quarks, and gluons).

The complete letter combination in Seth’s name (שת) is not only the complete sofit gematria of “The Garden (הגן)” but is also the final gate of the 231 Gates comprised of the 231 possible pairings of the 22 Letters, as Abraham explains them in the Sefer Yetzirah, The Book of Formation.  This brings up yet another way to view the 248 dimensions in the E₈ Lattice, considering that there are currently 17 known particles and forces in our universe, and that the 231 gates + 17 fundamental particles/forces = 248.

The value 17, as in the 17 fundamental particles or fields corresponds to age 17 when Abraham’s son Ishmael was left to die in the desert but lived by the grace of G-d; and to age 17 when Joseph was left to die in a pit in the desert but lived by the grace of G-d; and to the 17 “good” years Jacob lived; and to the value of the word “good, tov (טוֹב)” as in “the Light is good.” Perhaps the 17 fields are “the Light” which is the first step according to the Torah in the Creation of physicality, and perhaps these align with the 112 Triplets/Tetrahedra of the Torah whose collective value is (17,000 – 35).

The cosmic complete 2πφ cipher that aligns the Alef-bet with 5778, gives the word “good, tov (טוֹב)” the numerical value of 208, which is that of Abraham’s other son, Isaac, the 21^st in the lineage of Adam, and moreover, 5778/208 = 27.778… or the log of (6 x 10²⁷) as in the 6 dimensions/directions of Zeir Anpin and the 27 positions/letters of the Magic Essential Cube of Creation (42). Meanwhile the first and third iterations of the spelled-out word tov (טוֹב) equal (17 + 1747) = 1764 or 42², and the second and third iterations equal (853 + 1747) = 2600, as in the YHVH (יהוה) aligned with Zeir Anpin, meaning that all 3 iterations equal 2618 with the kolel (1) or Phi (φ)².

If we wonder how it is possible that the Alef-bet can interact with Pi (π) and Phi (φ) then we have to remember that, like the time-paths of our existence, on a hyperspace and metaphysical level they are vectors.

Abraham could connect to the upper dimensions, and he called the 22 letters the fundamental building blocks and the paths between them gateways. He innately understood the projections that it takes our supercomputers to devise.

But what is “The Garden (הגן)?” In a very real sense, it is the Earth before the people and animals, or at least before Man. The Earth without Man’s involvement is glorious and stunning in every aspect and every direction and every scale-a symphony of pleasure for every one of our senses. It is pure and sheer beauty to behold. It is a layer of the cosmic program that Man can no longer access. Nor can he be allowed to so that this garden paradise can be recreated and restored with every recycle or reboot. Once Man was kicked out of the “The Garden (הגן)” he was placed in a copy of “The Garden (הגן),” one that he could develop as he saw fit. In no time he set about digging, herding, planting, burning, and building. Only in this copy of the garden, once a resource was used, the zero-sum matrix was deteriorated accordingly. Eventually, instead of that pure beauty we now have strip mines, parking lots, pavement, mine fields, dams, massive garbage dumps, pools of pollution on the ground and in the atmosphere, sprawling cities, vast fields of genetically altered plants and vertical farms of genetically altered livestock. From where the minerals lay in a potential benevolent state, they now flow with negativity from the depleted eco system through steams of water, air, foods, drugs, and assorted radiations into and through Man’s modified bodies and back again, in an ever more corrosive cycle.  We were told this is civilization, yet it has an inevitable conclusion, and there has been nothing civil about the process. The reset or reboot is a redo. It exemplifies the endless mercy of the 13 Attributes of the Creator as explained and delineated in the Torah. It may take forever, but the system continually gives Man a chance to get it right.

The Perfectly Designed Alef-bet.

As we know, the Alef-bet is based on an exponential scale (1.313^x) that utilizes the constant 1.313. This forms a scale that the letters conform to with a wave-like repetitive percentage variance and with the letters Caf (כ) representing the Sun and the letter Tav (ת) representing the Moon laying directly on the curve at the values 20 and 400 respectively, or 420 together.

We can use simple calculus or more specifically integrals to determine the area under this curve both to 22 letters and 27 letters. We can also use it to determine the value of the area under the curve from one letter to the next (0 – 1, 2 – 3 … 26 – 27).

What we find is that the difference from the sum of the standard letter values and the area under the curve is (1495 – 1464.417) = 30.5831, while the difference in the percent variations from the curve is a total for the 22 variations of 130.0% yet again connecting the Alef-bet to the Torah received at Mt Sinai (130) in 1313 BCE. To do this within controlling the laws of mathematics, the timelines of history, and the design of the Alef-bet are impossible.

As for the 27 letters, their collective area under the curve is 17.29494 more than the year Israel became a nation in 5708 HC, while 1729 represents the number of words with the numerical value 26, as in the YHVH (יהוה), in the Torah and 17.3 or 173 is the numerical value of the gematria katan of the 42-Letter Name. This ties in metaphysically with the sum of the percent variations from the curve or 42.657 that is extremely close to the 42.5^o Magnetic Precession and the 42.5^o cosmic Phi (φ) and Primal Frequency (27.5 Hz) radiance.

Within the individual integrals of the letter’s ordinal positions many of their areas under the curve are very telling unto themselves.  For example, the 20 letter, as in Abraham’s 20^th generation, is Resh (ר) and its area is 203.003 as in the first Triplet in the Torah Bara (ברא) meaning “To Create” of numerical value 203. It is also the first of the 11 Triplets of Bereshit that total 3003, one of the 4 sets of Essential Triplets embedded in the Torah. The value 203 is also the value of the same first 3 letters of Abraham (אברהם).

Meanwhile, the 11^th letter, Caf (כ) has a numerical value 20 as in Abraham’s 20^th generation, and its area is 17.5033, as in Abraham’s age of 175 years and as in the 11 Triplets or 33 letters that total 3003. Likewise, this is not possible unless the entity controlling the laws of mathematics, the timelines of history, and the design of the Alef-bet did not also write and design the Torah.

The 10^th letter, Yud (י) has an area of 13.3308 or 40/3 and while 40 being the value of the 13^th letter the variance from the standard value of Yud (י) is 3.330 as in the 3330 years or 66.6 jubilee years from 2448 HC (1313 BCE) to the event Horizon in 5778 HC. Meanwhile the 22^nd letter, Tav (ת), has a variance of 50.03, as in 50-year jubilee year.

Meanwhile, the area under the 6^th letter vav (ו) is 4.48536 as in the year 2448 that aligns with the log of (6 x 10⁵) that equals 5.778 and is 1.30 more than 4.48536.

Moreover, the 7^th letter, Tzion (ז) has a variance of 1.11073 or 1/3 of the variance of the 10^th letter, Yud (י), 3.3308, as in 424φ² = 1110.046, and is 10 times the Name Alef (אלף), etc.

Now, all of this happens because the integral of 1.313^x is 3.67222, which as it turns out is the circumference of the earth divided by the wavelength of the Primal Frequency (27.5 Hz) or 24875.62/6774 mi = 3.67222. While 24875.62 miles is comprised of 24800 miles plus 75.62 miles it represents the 248 dimensions of E8 and the Torah and the Prime Frequency 27.5² or 756.25. Furthermore, while this equation reflects the circumference of the Earth, that wavelength of 6774 mi is 8 miles less than the circumference of the Moon, 6782 miles.

At 27.5 Hz, the corresponding wavelength in space, meaning a wavelength solely contingent on the speed of light, is 6774 miles, or 67.20% of the Earth and Moon diameters together (10080 mi).

Napier’s constant, also known as Euler’s Number e, is the natural limit found throughout and integral to our base 10 mathematics and it is critical to both mathematics and physics. Euler’s Number e is the unique number whose natural logarithm is equal to One (1) and it is 2.718…  It is also incorporated in the Blessing of the Cohanim, whose outer words total 1820 as in the 1820 YHVH (יהוה) in the Torah and the Path of One based on 13. The total gematria of the 3 verses or 60 letters of the Blessing is exactly 2718, as in 2.718, Napier’s constant.

This is the same 2718 as the 60 Holy Letters (יאוה) of the thrice expanded Names Ehyeh (אהיה) and YHVH (יהוה) whose total value of their 41 and 42 letters respectively is 3142. This means that their difference of 23 letters is exactly 424, as in Moshiach Ben David Consciousness.

While in calculus the integral incorporates Euler’s Number e, we see that 10/e is 3.678794… which is close to our integral value of 3.67222 based on the constant 1.313, off by 0.00657…, as in the total percentage variance of the 27 letters, 42.657%  Meanwhile, the inverse of 1/3.67222 = .27231… which is possibly related to the circumference of the Sun, 2,720,984 miles, considering its relationship to the circumference of the Earth and the Moon. At any rate, the average of the two (.2723148… + .2718281…)/2 = .2720715…, an even closer alignment to the Sun’s 2,720,984 miles.

Again, this is not possible unless the entity controlling the laws of mathematics, the timelines of history, and the design of the Alef-bet and the Torah, did not also create the Earth and the Moon and the Sun whose surface temperature is 5778 K.

Nevertheless, given that the sum of the percent variations from the curve of the 22 letters is 42.65% it is astounding that the area under the 5 final letters, in other words the difference in area under the curve between the 27 letters and the 22 letters, is 4260. Moreover, the ratio between the standard value of the 22 letters and the 5 final letters is 1495/3500 = 42.7% just like the counterspace of the area under the 27-letter curve, (10000 – 5725) = 4275, which not only incorporates the 27.5 Hz Primal Frequency, but is 27 more than 4248, the sum of the 22 Names of those letters. Therefore, not only is the area under the 27-letter curve less the kolel of 27 equal to the year Israel became a nation, 5708 HC, but its counterspace is 27 more than the 4248 sum of the 22 Names of those letters, representing the 42 rows and 248 columns in the Torah and the 42.48^o gyromagnetic precession of the magnetic and dielectric fields found both at the quantum level in our atoms and the grand scale of the magnetic field lines connecting our planets, stars, and galaxies. Only by the grace of G-d does this work out this way.

Furthermore, their absolute value percent variation is 103.58% compared with the 30.58 percent variation for the 22 letters with 358 being the value of Moshiach.  While it may appear as if there should be a rational explanation for these synchronistic ratios, there is no mathematical one; it was just designed that way the moment the Creator decided to align the 22 letters whose names are related by Phi (φ) with 5 additional letters and with the value 1.313.

When measured from the Alef (א) the area under the curve to the 6^th letter, Vav (ו) is 13.9939 or 14, as in the central position of the 6-sided Essential Cube of Creation that represents the 6 dimensions of Zeir Anpin.

And when measured from the Alef (א) the area under the curve to the 14^th letter, Nun (נ) in the center of the Essential Cube is 161.38 or approximately Phi (φ). In fact, when measured from .618 or 1/φ to the 14^th letter, Nun (נ) in the center of the Essential Cube, the area under the curve is 161.856, an even closer approximation to Phi (1.618…)

Then when we calculate the area under the curve from the normal 0,0 coordinate to 5.778 or the log of 600,000 rather than 6, we get the value of 14.0 once again, the central position of the Essential Cube and Spherical Time.

And for whatever metaphysical reason, the interval from 0,0 to 11.111 equals 72.0056….

And when the standard Alef-bet curve is extended past 27 to 27.0345, as in the value of Moses (345), the total area under the curve is 5778.

The Center of the E8 Supersystem

Slicing the E8 symmetry into planes of lower dimensionality helps us to visualize what is going on within it.  In the E7 Coxeter plane projection, there are 7 distinct rings of exactly 18 roots or vertices in each, for a total of 126, as in the value of each face of the Essential Cube of Creation of 42, while in the 6 rings of the E6 Coxeter plane projection there are 72 vertices or roots.

At the center of this Coxeter plane projection of the E8 Supersystem we can clearly see the projection of a 6-pointed Magen David surrounded by 8 symmetrical rings of vertices or root vectors.

Emanating from its center and sliced though the 6 points of the Magen David are 6 spokes of 4 vertices in perfect alignment, which form 3 axial lines of 8, or 24 in total, exactly 1/10^th of the 240 total vertices or root vectors. These are like the 8 corners of the Essential Cube of Creation which total 112, as in the 112 integer root vectors in E8. Symmetrical to each of those 6 radiating rays are 18 additional vertices each, making 22 in each direction, like the 22 Names of the letters of the Alef-bet. These are intercalated with 6 spokes of 18 that only each the 7^th ring, like a holdover from E7 but nonetheless total 108. There are 12 spokes in total, like the 12 moons in the Cosmic Wheel.

Of the 8 rings, the inner 4 rings have 78 vertices, with the 6 in the innermost ring corresponding to the 6 points of the central Magen David.  There are also 6 in the outermost of these inner 4 rings, corresponding to the 6 inner hexagonal points of the same central Star of David.

Like the 7 rings of the E7 projection, the outermost ring of the 8 rings of E8 has 18 vertices.  In its outer 3 rings there are 6 sets of (3 + 11 + 13) = 27 vertices, corresponding to each point of the central Magen David, or alternatively to each of the 6 faces of the central hexagon that is analogous to the 6 faces of the Essential Cube of Creation of 27 positions. While the 27 vertices or root vectors are evocative of the 27 positions of the Essential Cube, each set of the 27-dimensional vertices is associated with a 1-dimension inner one in the central 4^th ring, 28 in total, like the 28 letters in the Torah’s first verse, whose total numerical value is 2701. There are then (28 x 6) dimensions or (4 x 42) dimensions/root vectors in the 4 outer rings, meaning each of the 4 outer rings has an average of 42 vertices each, like the Magical Constant 42 of the Essential Cube of Creation. Moreover, these 4 sets of 42 surround the central 72 at its core, making 240 vertices or roots in total, plus the 8 original vertices (dimensions) that these were projected from. The 240/8 roots average 30, like the 30 tetrahedra in each of the 20 rings of the 600-cell and like the letter Lamed (ל) connected to Binah and whose nominal value is 30 and whose complete value is (30 + 12) = 42, just like the 42 times the Name Yehuda (יהודה) containing the YHVH (יהוה) and of nominal value 30 appears in the Torah,

The 27 vertices or root vectors in each of the alternate spokes represent and correspond to the 27 vectors from the central point/position of the Essential Cube. These root vectors emanate off each of the 6 vertices in the central 4^th ring, or in the 6 directions of the Essential Cube.  Those 6 vertices form their own larger Magen David, albeit at a 30^o angle to the smaller central one.

Therefore, in each of the 6 vertices of the projected Magen David we can envision a separate Essential Cube of Creation blossoming, 27 positions in each vertex, as if each of the 6 faces/dimensions of the original cube became its own Cube, 27 dimensions in the exact manor a cube expands into a hypercube.

And in the center of the Star, where the 14^th position that is associated with David whose numerical value is 14 is within the Essential Cube, there are now (72 + 6) = 78 dimensions, as in the 3 YHVH (יהוה).  Since the 14^th position corresponds to the Hebrew letter Nun (נ) whose complete value is 64, when we superimpose the 14 on it, it becomes (64 + 14) = 78.

The 78 dimensions and root-vectors also align with the 78 letters of the 7 Aspects of the Names Elohim (אלהים) and the YHVH (יהוה) spelled out.

The E8 Magic Star

Visualizing this as a simplified E6 symmetry sliced from the E8 we can see a large Magen David with (27 + 1) root vectors/vertices in each of the star’s vertices and with (72 + 6) in the center or 246 in total plus the 2 for the 2-dimensional projection for a total of 248. We must keep in mind that there are 240 faces in a 6-d hypercube, analogous to the 240 non-base dimensions of the E₈ Lattice and (112 + 128) = 240 root vectors.

The (6 x 27) outer vertices or dimensions total 162 and as we detailed previously, this is the value of “In [G-d’s] image (בְּצֶלֶם)” whose complete gematria value is (162 + 45) = 207, the gematria of Ohr Light (אור), and while 162 approximates Phi (φ), 2.07 is the ratio of the 162 outer dimensions to the 78 inner ones (162/78).  This is why Man of numerical value 45 is made in G-d’s image.

With E₆ in the center of the Star, we find additional symmetry in that the central column of (27 + 78 + 27) + 1 dimensions equals the 133 dimensions of E₇ and this can be sliced along any of the 3 axes of the Star. An interesting alignment occurs with the 7 base dimensions of E₇ and the Torah in that the sum of the ending verse numbers for the 7 sets of the 7 Days of Creation is (5 + 8 + 13 + 19 + 23 + 31 + 34) = 133, the last 4 of which add up to 107 and the first 3 to 26.  

Meanwhile, the right and left columns equal 2 (1 + 27 + 27 + 1) = 112 dimensions, as in the 112 Triplets/Tetrahedra of the Torah and Binah Consciousness as aligned with the 112 root vectors of E₈.

The actual equation or mathematical shorthand looks like this, describing the E8 Magic Star with the e₆ being 78 dimensional and the two SU (3,27) representing the 3 vertices each of the two triangles of the Magen David that have 27 dimensions per vertex, with the first SU (3) representing the 2³ = 8 base dimensions:

This is the shape of Binah hyperspace.

The 6 bundled dimensions of Zeir Anpin that project into a 7^th and lower dimension of Malchut—the screen if you will—all connect through symmetric hyperdimensional expansion. Malchut, meaning Kingdom, has a numerical value of 496, the 3^rd Perfect Number, which lies between 6, 28 and 8128. It is also (2 x 248). Not coincidentally, its ordinal value is 64, as in the complete value of the Hebrew letter Nun (נ) at the central 7^th position of the Essential Cube of Creation.

The 27 letters/positions in the Magic Essential Cube of 42 is a Rank 3 Dimension 3 stress tensor and as it expands or stresses into a 4-dimensional hypercube it becomes a Rank 4 Dimension 4 stress tensor whereby in all 6 directions each face becomes another cube of 27, which represents the 27 dimensions in each of the 6 points of the E8 Magic Star.

These are not the only connections between the E8 structure and the Magen David. There are numerous ones including the following rotations, the first of which shows 137 vertices surrounding 42 in the central star with 137 being integrally related to our cosmology, the Fine Structure Constant, and the vector between the value of the Torah’s first verse (2701) and the 3701 value of the 42-Letter Name.  None of this is surprising given that the 112 Essential Triplets or Tetrahedra pair up to form Star Tetrahedra, and the 14 Triplets in the 42-Letter Name Matrix form 7 Star Tetrahedra, as we see arranged within the rotations of E8.

The 57 Group and the Central Star of 78.

It is indeed curious how both the 57 Group in the 600-cell and the 78 root vectors in the Magen David at the center of the E8 polytope are integrally connected in E8 as they are in the Torah, Spherical Time, and the constant Phi (φ)  with the log of 600,000 being 5.778 and the two joined portions of Behar-BeChukothai having 57 and 78 verses respectively, and Phi (φ)¹⁸ being equal to 5778.000. Moreover, while the complete value of 42 (מב) is 57, the complete value of the 5^th Triplet/Tetrahedron (נגד) in the 42-Letter Name is (57 + 21) = 78, while the ordinal value of its companion 6^th Triplet/Tetrahedron (יכש) in the Matrix is 42.

The Magen David

As we know, the value of the Event Horizon and Spherical Time radius, 5778 years, is the 107^th Triangular Number, as in the sum of the integers from 1 to 107 and that this aligns with the 10 Commandments that begin at the 107,000 letter in the Torah after the first word, “In the Beginning.” What we did not know was that the Magen David (מגן־דוד) at the center of it all has the value 107, like the 107,000 KPH that the Earth orbits the Sun.

Its sofit value is 757 or a rounded upward integer value of the Primal Frequency (27.5 Hz) squared, 756.25, which is enhanced because its ordinal value is 55 or (2 x 27.5) By the way, the cube root of 27.5² is 9.1107 or 911 with 107, thus the gematria value of the “beginning (911)” with the mathematical value of the end, 107.

Simple Connections to a Highly Complex Structure

As we know, the E₈ root system consists of all vectors, or roots from 1 – 8 (a₁,a₂,a₃,a₄,a₅,a₆,a₇,a₈) which are divided into two sets, the 112 in which all a_i are integers (i.e. -1,1,0,0,0,0,0,0) and the set of 128 in which a_i are half-integers (i.e. 1/2,-1/2, 1/2,-1/2,-1/2,1/2,1/2,-1/2) with their sum being an even integer, and the sum of their squares being 2. These make altogether (112 + 128) = 240 roots + 8 coordinates, or 248.

As discussed, the 4 Essential Elements hidden in the Torah that exist at the 8^th Level or Binah beyond our universe and the Creation of our universe consist of 112 Triplets or Tetrahedra.  Metaphysically the 112 Triplets can be thought of as the 112 sets of root vectors of the E₈ Lie Algebra in Binah.  When we subtract the 128 (half-integer) roots from the full 248 coordinates or dimensions we get the value 120 as in the 120 years of Man, the 120-year age of Moses, the 120 years between the Flood and the Tower of Babel incident, and the 120 years that the Arizal tells us the Flood was postponed in the merit of Noach and the hope that the people would repent.  Those 120 years were given to Moses to try again.

The two final Books of the Torah are Bamidbar and Devarim and they represent the metaphysical levels of Zeir Anpin and Malchut. The Book Name Bamidbar has a numerical value of 248 and the Book Name Devarim, delineated by Moses when he was 120 years old, has a numerical value of 256 or (2 x 128), corresponding to the exact sum of the (8 x 128) squared roots of all 128 sets (half-integer) root vectors. This is oddly reminiscent of the 4^th perfect Number, 8128. While 256 = 2⁸, the E₈ lattice with its 8 coordinates might correspond to the difference between these Names, (256 – 248) = 8, as in the 8 sons of Abraham (248).

Bear in mind that (248 + 256) = 504 and that the midpoint of the 91 doubled words in the Torah is Darosh Darash (דרש־דרש) each of numerical value 504 and that there are 50 words with a value of 504 in the Torah, split right down the middle at Darosh Darash. Meanwhile, while there is (112 + 128) or 240,000 miles between the Earth and the Moon, the midpoint in their conjoined diameters is 5040 miles, the sum of their radii and exactly 7! (factorial) or (7 x 6 x 5 x 4 x 3 x 2 x 1) = 5040 miles.

As it happens, the Monster Group’s 196,883 dimensions are (196883/390625) = .50402048 of the 5⁸ words, letters, and verses in the Torah, and 2048 equals 2¹¹and was marked in the Torah as the year Isaac was born, 2048 HC. This is hyperspace reality, the metaphysical world.

Moreover, while the sum of the squares of the digits in 1313 is 20, as in Keter and the 20^th Chapter in the Torah where we find the 10 Commandments received in 1313 BCE, the sum of squares, cubes, and raised to the 4^th, 5^th, 6^th, 7^th and 8^th powers of those digits is 19688.

Nevertheless, Abraham was the 20^th or keter in the lineage of Adam and the sum of the digits in 1313 when raised to the powers of 1, 2, 3, and 4 is (8 + 20 56 + 164) = 248, and the sum of the digits in 248 when raised to the powers of 1, 2, 3, and 4 is 5050, the 100^th Triangular Number, the sum of the integers from 1 – 100, and the sofit value for the first two iterations the highest Name “I am that I am (אהיה־אשר־אהיה).”

When the Earth’s diameter is added to this 240,000-mile span between it and the Moon, the total becomes 248,000 miles aligning their relationship directly with the 240 dimensions and original 8-dimensional vertices for a total of 248 dimensions of the E₈ Lattice superstructure and symmetry and to the 248,000φ, quantitative elements of the Torah, or Phi (φ) elements per mile and/or per dimension.

Moreover, while 248 and 256 represent the 4^th and 5^th Books of Moses, the equation (5040/112) = 45 connects these 2 Books with the 112 Triplets, the Earth and Moon relationship, Adam, the 6 bundled dimensions of Zeir Anpin, the E₈ lattice structure, the 91 Doubles, and the 45 letters in the 15 Triplets of the Shema found in these Books, particularly Devarim 6:4 as in 8².

Those 4^th and 5^th Books of Moses are reminiscent of the 1792 4-faces and 5-faces in the E₈ Lattice or 3584 in total, and while 358 is the numerical value of Moshiach the difference between 3584 and 3760, the pivot year (0 CE) of Spiritual Time and of Spherical Time, is 176: as in (8 x 22) = 176: the ordinal value of the all-important verse Zechariah 14:9 “He and His Name are One”; as in the longest portion of the Torah, Parsha Naso with its 176 verses; Psalms 1:19, the longest chapter of the Tehillim, which is divided into 8 verses for each of the 22 letters; the longest Talmud Tractate, Baba Batra, of 176 pages; and as in the 176 constant of the two completely symmetrical 4 x 4 super magic squares that align with 32 elements of periodic table.

As it happens the Creator arranged it so that the sum of the digits in the atomic Numbers for all 32 elements is 256 and that the atomic weights of the 16 elements in the first set would equal 1666.175 and the total for both sets would be 3360.816 or 10 times the 336 letters in the 112 Triplets. Moreover, since only the Creator could have designed the elements in the periodic table, it is astonishingly from our earthly point of view that the second super magic set of 16 averaged 423.6… per line of 4, not just an approximation of the energy level for Moshiach Ben David, 424, but the more precise value of Phi (φ)³ or 423.60…, at the center of the magnetic field equations, while the Hebrew work for magnetic (מגנטי) has the numeral value of 112, as in the 112 Triplets.

Matrices upon Matrices

It gets complicated from here, but just so you understand, matrices can be added, multiplied, and divided amongst themselves and by vectors. This type of processing is key to the E₈ lattice.  This processing also releases infinitely more information from the powerful matrices already known in the Torah and tied into the 4 Essential Elements of Creation. A little information can lead to great technological advances. An infinite amount of information can lead to enlightenment.

Another analogy is found in the 248 words and 1000 letters of the Shema, like the 248,000φ, quantitative elements of the Torah, or one dimension/root vector per word or one per column of the 248 columns of the Torah. And like the Singularity of 42 alignments within E8, so too the first paragraph of the Shema has 42 words, which in turn is likewise analogous to the 42 rows in the Torah Matrix of 248 x 42, the coming together of two of the most primal concepts of cosmology. This is yet another reason why the 22 Names of the Hebrew letters that are fractally aligned with Phi(φ) total exactly 4248. The purpose of aligning the Shema with the networks of the upper dimensions is to create another point of access for u, one that is easily accessible to all of us.

Those 248,000φ elements or 401,273 Words, Letters, Verses, Rows and Columns is not some random number that the Creator came up with because it was evenly divisible by Phi (φ). We have parsed it many ways already; nevertheless, it is a number built up from 248 then expanded by 1000 (Binah) then expanded by Phi (φ).  It is also built up from the 390,625 or 5⁸ Words, Letters, Verses in the Torah combined with the 22³ Rows-Columns in the Torah, or (5⁸ + 22³) = 248,000φ, which places the connection to the E₈ lattice on both sides of the equation and shows us how the 10,648 Row-Columns can fold up, or more appropriately, unfold from a perfect 22³ cube.

Moreover, the 248 dimensions of the E₈ lattice are broken down into 240 and 8 dimensions and likewise 248,000 is broken down into 240,000 and 8000, which is the 20³-array cubic value of the square (8 x 8) matrix within the 72 Names. And while the first row of the 9 rows of the 72 Triplets/Tetrahedra Matix is 1143 and thus 1/8 of its total 9143, like the 1/8 ratio of the 2160 8-orthoplexes and 17280 8-simplices, we see that it is also built into the 9 digits of the base-10 cosmic numbering system:

(123456789/987654321) = 1/8

Faces, Corners, Triplets, and Mitzvot

This expansion from the 6-dimensions of Zeir Anpin is akin to the 240 faces of a 6-d hypercube into the 240 dimensions or root vectors of the E8 structure of Binah, the realm and hyperdimension of consciousness.  It is related to E8 in yet another way.  The number of spheres that kiss or can be most tightly packed around a single sphere in 8 dimensions is also 240.

As we know, of the 240 non-base dimensions and root vectors of the E₈ root lattice, there is a set of 112 integer ones, like the sum of the 8 corners of the Magical Essential Cube of Creation. The average corner is thus 112/8 = 14, like the central position of the Cube. While 8 and 14 are divisors of 112, there are 10 divisors in total (1, 2, 4, 7, 8, 14, 16, 28, 56, and 112), and they total 248, as in the 248 dimensions in the E8 Lattice, etc.

The universe is also telling us that there is another way to connect to the 112 Triplets and that is through the mitzvot, as the 112^th Prime number is 613 and there are 613 mitzvot delineated in the Torah, of which exactly 248 are proactive.

When we examine the various cubic quantitative structures of the Torah, we see that there are 22³ cubic rows and columns, 18³ cubic verses, the 320³ total sofit cubic gematria value; the 2¹⁰ hypercube standard word-values; the 9³ cubic paragraphs, portions and books; and the hypercube 5⁸ words, verses, and letters. Altogether, that equates metaphysically to (22 + 18 + 320 + 5) = 365, as in the days in a solar year and the 365 prohibitive mitzvot.  Each cube is an array where information can be stored in specific coordinates for efficient access and retrieval by algorithms and programs.

As complex as those overlapping cubic structures are, the networks that inform the Torah are far more complex yet. When we take the 5 quantitative elements of the Torah that total 248,000φ—the 304805 letters, the 79975 words, the 5845 verses, the 10400 rows, and 248 columns—and square their individual digits they sum to 630, and when we cube them their total becomes 4472. The value of the highest Binah Name Ehyeh (אלף־הי־יוד־הי) is 161 and 161/√5 = 72.0013, yet when we swap around the equation, we get 72/161 = .4472, and the logarithm of 4472 is 3.650, as in the 365 days in it takes the Earth to orbit the Sun, one year and the 365 restrictive mitzvot delineated in the Torah.

Another Layer of Dimensionality

Dimensionality can be seen through expansion such as 5⁸, but it can also be seen by taking the roots of a number, which is akin to raising a number to a fractional power (i.e. cubing, x³, is raising a number to 1/3 or x^1/3). With it we see that the cube root of the 248 columns, etc. is 6.28276… or approximately twice Pi (3.141…). We also see that the 6^th root of the 5845 verses is 4.244215… as in Moshiach Ben David (424) consciousness and 42, while its 7^th root is 3.452328… as in Moshe (345) and the 4 Aspects of the YHVH (יהוה), 232. As for the 6^th root, associated with Zeir Anpin, we see that the 6^th root of the 5845 letters in the Torah is 8.20358… as in 8 plus the 20358 complete value of the 112 Triplets/Tetrahedra of the Torah, or alternatively 820, as in Leviticus 19:18 at the heart of the Torah, “but thou shalt love thy neighbor as thyself (וְאָהַבְתָּ לְרֵעֲךָ כָּמוֹךָ)” and 358, Moshiach. So that none of this can be misconstrued as coincidence we see that the sum of the 6^th roots of the 9 quantitative elements (304805 letters, 79975 words, 5845 verses, 10040 rows, 248 columns, 1024 word values, 187 chapters, 54 portions, and 5 Books) of the Torah equals 35.00….

Meanwhile, the sum of the square roots of the 10 quantitative elements of the Torah that includes the 670 Paragraphs is 1110.21…. or an average of 111.0 as in the Name Alef (אלף), just like the the sum of the constants of the (3²… 9²) normal magic squares (15 + 34 + 65 + 111 + 175 + 260 + 369) = 1110 and the equation of the radiation of Moshiach Ben David consciousness, 424φ² = 1110.046.

Coincidental Natural Logs

We know that the gematria of all 5 Names of the Books in the Torah is 2480 and that the two last Books, Bamidbar is 248 and Devarim is 256, match the names Abraham and Aaron, 248 and 256 respectively.  We also know how both numbers connect to the E₈ Lattice and how they connect in assorted ways throughout the (248 x 42) Torah matrix. What we have not discussed is that the natural logarithm of 12, or LN (12), or put another way, Log_e (12), is 2.48490665 and that the natural logarithm of 13, the very next integer, or LN (13), or Log_e (13), is 2.564949357, with a difference of .08004270 between them.  This cannot be coincidental. Natural logs are not just another way to generate one number from another; they are used in exponential growth, similar to what we saw in the exponential curve of the Alef-bet.

As for those 17280 8-simplices, the quantity (17280 x 5) = 86,400, and as previously discussed, the diameter of the sun is 864,000 miles and there are 86,400 seconds in an earth day, which brings up the Hebrew word for day yom, (יום) that is found as one of the 91 select doubled words in the Torah for a value of 112.

The Cuboctahedron

We have spoken of and drawn alignments with various aspects of the 248-dimension E₈ Lattice of crystal and their symmetric geometric component networks. A very important one is the cuboctahedron.

This overarching network of symmetric expansions from the Triplets, Tetrahedra, Orthoplexes and Simplexes; the Star Tetrahedra, and the Cuboctahedra are all seemingly generated from the simple Essential Cube of Creation, but it is the other way around. They all inform the Essential Cube. Every letter in the Essential Cube already contains all the information and programming to self-organize into the Spherical Time Bubble of our universe, and every other one as well. This includes every aspect of what we perceive as physicality, our reality. That is why each position of the Essential Cube unfolds into 11,111.111 letters of the Torah, covering 300,000 of them, all but the letter Pe (פ), whose total value is (4805 x 80) = 620² as in the 620 letters of the 10 Commandments, and the dimension of Keter which is above separate from all the others.

That 620² value is 384,400, just like the 384,000 km between the earth and the Moon.

 

While forming symmetrical Stars those tetrahedra also can organize into groups of 4 centered on a specific point to form a 13-vertex unit of One. When 2 of these formations are combined in opposite polar orientation, they form a radial symmetric cuboctahedron of 8 units still centered on this same singular point. They are now a 14-sided cuboctahedron, illustrating how even the central 14 position of the Essential Cube of Creation can be seen as an unfolding from the One in 8 directions and/or 8 Tetrahedra, like the 8 corners of the Cube that align with the (14 x 8) = 112 Essential Triplets.

A core shape within the 248 dimensions of the E₈ Lattice Lie symmetry is the 14-sided cuboctahedron. The cuboctahedron is the root vector polytope of the simplex of the E₈ Lattice, and the 12 vertices in the cuboctahedron can represent the root vectors of the simple Lie group A3.

The concept behind the cuboctahedron can start with tetrahedra or it can start with a sphere surrounded by a ring of 6 spheres, all kissing each other with no gaps between them, equidistant from the center of the central sphere to the center of each of the others. This is radial or vector equilibrium.  We can immediately recognize the dynamic of the Cosmic Wheel and the metaphysical 6 ellipses of the Lunar orbit around the Earth, the cubic structure of Zeir Anpin and the One in the center; and the Magen David at the center of the E8 Coxeter plane projection.

 

The 6 spheres simply form a 6-sided hexagon.

Three (3) more identical spheres appear above the hexagon and 3 below forming kissing triangles facing opposite directions. In total 12 spheres packed around the central original One (1), makes 13, echad, One.  This is the densest way to pack 13 spheres. No matter the size of the spheres, the counterspace around them is 26%, as in the YHVH (יהוה).  All 13 are radially and equilaterally connected, vector equilibrium, forming 12 vertices with equidistant bonds/line segments between them, 24 edges in total. Each bond/edge is the diameter of the sphere, each identical.

Let us not forget that the value 13 as in Echad (אחד), One also corresponds to the 13 fundamental particle species in the proton (6 quarks, 6 anti-quarks, and gluons).

Analogous to the Cosmic Wheel, the 12 spheres could represent the 12 moons formed by the 6 lunar ellipses and the 24 edges could represent both the 24 hours in a day and most specifically the 24 moons (New and Full) formed by the intersecting ellipses.

How does the Cosmic Wheel relate to the Essential Cube of Creation? The 6 Elliptical Orbits of the Moon within the metaphysical Cosmic Wheel create the spacing as they interact, forming a 3 x 3 x 3 cube in their center. Two parallel orbits for each of the 3 axes, crisscrossing in the center, forming the same ellipses and 12 moons as the E6.

 

 

 

Similarly, the cuboctahedron has 7 planar symmetries, metaphysically aligned with the 7 planets built into the Cosmic Wheel. The highlighted edges emphasize the vertical hexagon. Less apparent from this angle but nonetheless just as present are the vertical and two angled hexagons, 4 six-sided hexagons in total. The cuboctahedron is wholly composed of the 24 edges of the 4 six-sided hexagons.

All 13 diameters of the spheres are radially and equilaterally connected and equal in length—vector equilibrium—forming 12 vertices with equidistant bonds/line segments between them, 24 edges in total. In this formation, there are 4 six-sided hexagon planes at 90^o angles to one another built into the cuboctahedron and they completely encompass its (4 x 6) = 24 edges.

 

Because the 4 axes are 90^o or perpendicular to one another, they form 2-dimensional Magen Davids in all directions.

In the center of it all is the 12-vertice Magen David, and in keeping with our analysis of E8 we should keep in mind that those 12 vertices in the cuboctahedron can represent the root vectors of the simple Lie group A3 and the cuboctahedron is the root vector polytope of the simplex of the E₈ Lattice. As we recall, at the center of the 78-vertice 4-ring at the center of the E8 Coxeter plane projection are the 6 vertices/root vectors of the Magen David, and in its outer 4^th ring is the other set of 6 vertices situated along the hexagonal or 30^o rotation, just like the 2 rings of the cuboctahedron.

The Magen David is formed out of each of the hexagonal planes just by connecting those 12 vertices when the dimensionality is collapsed to 2-dimensions.

 

 

 

 

The 14-sided Cuboctahedron is comprised of 8 triangular faces and 6 square faces that all have the same edge lengths, and on closer inspection it is nothing more than a fully truncated cube, a cube with its 8 corners cut off, hence the 8 triangles with the left over 6 square faces. In the case of the Essential Cube of Creation this would be the equivalent of eliminating the 8 corners that add up to the 112 Triplets of Creation of average 14.

 

 

Sphere packing of the cuboctahedron with each of the 13 vertices as the center of that sphere forms the densest arrangement of 13 spheres, leaves a counterspace around them of 26%. Circumscribing these tightly packed spheres creates a larger or major sphere, the 14^th, as in the 14 faces of the cuboctahedron and the central 14^th position of the Essential Cube.

This dynamic of 13 inner spheres surrounded by 26% counterspace and the 14^th or One Major Sphere is not casual, and it has to do with the Path of One series 1 – 13 – 91 – 455 – 1820 whose sum is 1/42, aligned with the 1820 YHVH (יהוה).

Imagining that 14^th Major Sphere encircling the 13 inner spheres of the cuboctahedron fitting perfectly around the various hexagonal belts, and kissing all 12 outer spheres, we can see that its diameter is equal to 3 of the inner spheres, the central one plus each of the two that flank it. Substituting the 2160-mile-wide Moon as the diameter of each of the 13 smaller spheres, the greater surrounding sphere is equal to (3 x 2160) = 6480, as in the square root (6.480) of 42, and all the connections we have seen to the structure of the Torah.

The 12 Moons or spheres, as in the metaphysical Cosmic Wheel, cover a total distance of 25,920 miles, matching the Earth’s precession through the 12 constellations.

These hexagons represent the 6 Elliptical Orbits of the Moon within the Cosmic Wheel and each of the 12 vertices as the center of the 12 spheres that link to them represents One Moon. The 4 hexagons have 6 vertices each or 24 in total, but because each of the vertices is an intersection between 2 planes there are 24/2 = 12 net vertices. The 4 planes form the 4 seasons of 3 months each.

Applying the lunar diameter to the spheres, the 4 hexagons dividing the 25,920-distance of the 12 Moons into 4 great seasons of 3 Moons each, we see that each season or set of 3 Moons (3 x 2160) is equal to the square root of 42, the Source and Singularity. Moreover, there are 24 edges in the cuboctahedron and since each set of 24 hours, One Day, is equivalent to exactly 25,920 parts of a minute, each hexagon ring is equal to 6 hours and also metaphysically to the square root of 42.  This explains why the kabbalists divide the Day into 6-hour segments and why 6 hours of Ohr HaGanuz were set aside for Moshiach on the 6^th Day before Shabbat, while the Israelites fell 6 hours shy in waiting for Moses to return with the Tablets.

The giant encapsulating sphere is very apropos given the spherical nature of time; nevertheless, the ratio of the major sphere to any of the inner ones is exactly 27, or 27:1, like the 27 vertices/root-vectors we saw in the E8 Coxeter plane projection, and the 27 positions and corresponding 27 letters of the Alef-bet, the cosmic interface language.  The ratio of the major sphere to all 13 inner ones is thus 27/13 = 2.07… as in Light, Ohr (אור), of numerical value 207.

Together, they represent the ratio (2.7207) of a sphere that inscribes a cube of volume One—quite appropriate for a shape that started out as a simple cube.

Applying Dimensions to the Cuboctahedron

A shape lies in the state of potentiality until we observe it; this is the nature of simulation, and a core principle of modern physics. In order to give a cuboctahedron a physical size we need to assign it an edge length.  Interestingly, using the log of 600,000 or 5.778, representing the Spherical Time circumference and Event Horizon, as the edge length or diameter of the inner spheres, the resultant volume of its major sphere that encircles the 13 inner ones is 2727.276084. Just as astonishing is that within that outer spherical boundary, the 13 inner spheres that pack around the 12 vertices have a total volume of 1313.132929, giving each of the 13 spheres a volume of 101.0102253. Thus, while these are obviously cosmically aligned with the year 1313 BCE when those 600,000 men were counted in the Torah according to their 12 tribes, and aligned with the constant of the exponential curve of the 27 letters of the Alef-bet is (1.313^x), their counterspace difference is 1414.143155, as in the 14 faces and the central position of the Essential Cube of Creation.

This also means 8 of those spheres have a collective volume of (8 x 101.0102253) = 808.08180 as in the Moster Group and the volume of the Spherical Time Sphere, 8.08018 x 10¹¹.

Meanwhile, the triplet repetition of the numbers 272727, 131313, 141414, and 101010 seem to be hinting at the Triplets, a dynamic built into the design of the Cosmos and to a triple or 3-dimensional expansion. Completing a design only possible through metaphysics, subtracting the counterspace of 14³ from the 27³ major sphere gives us the numerical value (16,965) of the 112 Essential Triplets of Creation less 26, representing the 26 vectors of the Essential Cube by which the Cube expands and/or contracts. Of course, 101010 in base 2 is 42.

Spherical Time

Another related edge length is the Speed of Light, 186,282 MPS, which we will use as 1.86282 units.  The 24 edges in the cuboctahedron thus become equal to 44.70… units based on that specific edge length, and therefore reflect the relationship between the 44.70 hour and the 24-hour days respectively of the 3760 and 2018-year radii of the Spiritual and Physical Time paradigm. Since the hours in a day of Spiritual Time are 44.70 hours the Spiritual Time radius over the Physical Time radius is 3760/2018 = 1.86282, which thus aligns with the 44.70/24 hours. This is once again reflective of the Spherical Time circumference (36304.24470) that houses the Spiritual and Physical Time paradigm and that incorporates the sum of the first 1000 digits in Pi (π) that add up to 4470.

Moreover, using the speed-of-light as a length give us a volume for the 13 spheres of 44.00020002… or a precise 44., like the ordinal value of the Magen David (מגן־דוד).

The Name, God, El (אל) has nominal value of 31 as in (8 x 31) = 248, and a complete value of 44, as in the volume of the 13 spheres, 44.00020002. As Abraham explained, this is one of the 231 Gates. The Name El (אל) also has the EB-GD cipher value of 42 and an atbash one of 420, as in 420 x 27.5 (plus 1/70^th) Hz = 11,556-year Spherical Time Bubble diameter.  The addition of the 1/70 part is crucial within the paradigm considering the 70 Adam lived shy of 1000 that was given to David at the exact center of the 5778-year radius, and of the symmetric 70 years of Abraham and the final 70 years from Israel receiving nationhood in 5708 to 5778.

The 12 Moons of the Cosmic Wheel and/or the 12 surrounding spheres of the cuboctahedron are equivalent to the equation of Spherical Time. The value 963 is not only of the sum of the first 24 Primes, as in the 24 hours in One day and the 24 edges of the cuboctahedron that are aligned with it, 963 is also the gematria milui or stronger spelled out value of the word Echad (אחד), One. And while (9 x 107) = 963, we see that (963 x 12) = 11,556 years, as in the (2 x 5778) years from the Spherical Time equation: 2(5778π) = 36304.24470, which makes the time-limit radius in hyperspace equivalent to Echad (אחד), One (1) x 12. It should also ne noted that the Hebrew word “Ohr Light (אור) is found exactly 37 within words in the Torah, or (1000 – 963).

We also saw earlier how the Monster Group whose 54 digits when divided into 18 triplets sum to 9414 plus their original 216 value equal 9630.

To be clear 11,556 years is the diameter of Spherical Time equation and it is equal to (12,000 – 444). And while 44 is the value of the first plague, 444 is the gematria value of the 2^nd plague. It is also the value of “From Generation to Generation (לדר־ודר).” As Rav Ashlag explained to me, 444/22 (letters) = 20.18181818, reflecting the year 2018 CE (5778 HC) and endlessly reflecting 18. Meanwhile, 11,556/444 = 26.270270270…, reflective of the 26 generations through Moses and the Torah, and endlessly reflecting the 27 positions, letters, and dimensions. And as we just saw, 11,556/42 (The Source) = 275.142857 or the Prime Frequency 27.5 Hz and 1/7^th.

As impossible as this synchronicity would be without metaphysics and the purposeful design of the Creator 5778/13 = 444.4 and 5778/1313 = 44.00… as in when we used the speed-of-light as a length, and it gave us a volume for the 13 spheres of 44.00020002… So we would not miss the point, 5778/26 = 222.2… and 5778/42 = 137.5….

It should be noted that given the nature of the 8^th Dimension of Binah, 444 times 1820, as in the 1820 YHVH (יהוה) in the Torah is 808080, reflective of both Abraham and the massive Monster Group symmetry that is so massive it could only exist in the mind of the Creator, El (אל).

Furthermore, when the edge length is the speed of light (186,282 mps), the volume of the major sphere surrounding the cuboctahedron becomes 91,385,030 miles, off by only 17,000 miles from the Earth’s actual perihelion, its closest point to the Sun in its orbit and those 17,000 miles are very much like the (17,000 – 35) value of the 112 Triplets, or the (17,000 – 8) value of all 5 Essential Elements when the Essential Cube of Creation with its 8 corners that equal 112 is included in the paradigm. This is why we learn that the gematria value of “good, tov (טוֹב)”  is 17 in the 4^th verse of the Torah, that “the Light is good.”

Within the context of the Cosmic Wheel that defines the annual cycle and dating of the Jewish festivals as prescribed by the Torah, we see that besides the 24 edges that connect the 12 vertices there are 24 internal or imaginary edges of the same size that radially connect the outer vertices of each hexagon to the central point. In the case of the Speed of Light, 1.86282, these 48 edges total 89.41… thus bringing together the 44 candles lit on Chanukah of numerical value 89 and ordinal value 44. The 8 days of the Light of Binah that complete the 363 Day cycle of the Cosmic Wheel.

Chronicles of Adam

And when its edge length is the log of 6, the volume of the major or surrounding sphere, is 6.6612…, like the speed of the Earth in orbit around the Sun, 66612 mph.

It is also found in the 26 generations of Adam, whose ages sum to exactly 12600 or (300 x 42), and whose 26 logarithms sum to precisely 66.6612.  This alone serves to prove that the author and architect of the Torah was not only well aware of the logarithmic scale and the cuboctahedron but incorporated them both into the Torah, not to leave us a smoking gun, but to show us the way.

Those 12600 years occurred over 2488 years, ending when Moses passed away and the Israelites entered Egypt, and possibly referencing the 248 dimensions of the E₈ Lattice structure for an average of (12600/2488) = 5.06, as in the first tier (506) of the 42-Letter Name Matrix and Ladder and as in the complete value (506) of Moshiach Ben David, the higher consciousness necessary to access those dimensions.

As for the 612 component, it is the gematria value for brit, covenant, and (4 x 612) = 2448, the year of the Exodus and reception of the Torah. The word is first used in Genesis 6:18, as in 1/φ, when G-d made a covenant with Noach.

We also find that when the edge length of the cuboctahedron is the log of 6 that the volume of said cuboctahedron is 1.1106, as in the Name Alef (אלף) and the 1110 sum of the square roots of the 10 quantitative elements of the Torah.  Moreover, the volume of the 13 spheres equals 32.0, as in the component value of the letter Alef (א) and the 32 Paths of the Tree-of-Life.

This is also aligned with the 320 Holy Sparks found in the Torah though its cube root of the gematria sofit of the entire Torah, 320.0238 or 320 plus 1/42. If the Torah’s entire numerical value were folded up into a cube, each side would have a value of 320.0… Based on the 27 letters of the Alef-bet unraveled from the Essential Cube of Creation, the Torah is so intricately designed that not only does it form a cubic array of 320.0238³ but a square matrix of 5800.054².

Alef (א) equals One and One is echad or 13. The 3 iterations (expansions) of the Letter Alef (א) is 1818. Because the value of the 112 Triplets is 16,935 or an average 4241.25 and its ordinal value is 3393 their complete value is 20,358 and the average Triplet value is 20,358/112 = 181.8, 358 being the value of Moshiach and 424 being that of Moshiach Ben David. This is the same proportion as the Letter Caf (כ) representing the Sun and the letter Tav (ת) representing the Moon, 20/11 = 1.818 and 400/22 = 18.18 respectively. Meanwhile, 3393/8 also equals 424.125, or exactly 1/10^th the average value of the 112 triplets that are aligned with the 8 corners of the Essential Cube of Creation. Just as astonishing is that their complete value 20,358 is exactly 6 times their ordinal value 3396 or 20358/3393 = 6 and thus 16965/3393 = 5.

Moreover, with the Earth representing the 13^th or central inner original sphere surrounded by the 12 moons that are associated with the 12 YHVH (יהוה), its notable that the sum of the 12 YHVH (יהוה) string value (1565) permutations divided (or filtered) through the 8 vertices of the Essential Cube of Creation is 53328/8 = 6666.

While we know that the Essential Cube of Creation is at the center and core of Creation and thus the universe, we must wonder if it is also the original Cube from which the Cuboctahedron was carved.

Binah

When the edge length of the cuboctahedron is the cube root of 6, the major surrounding sphere becomes 84.82300 or 2 x 4.24115, as in Moshiach Ben David. And when the edge of the cuboctahedron is 67, as in Binah, its surface area is 42484.35…, as in the sum (4248) of the 22 Names of the letters that exist in the 8^th dimension, Binah, etc.

The surface area of the cuboctahedron is the 2-dimensional wrapping of the 3-dimensional polytope denoted by its volume. In the case of an edge length of 67, that 3-d/2-d ratio is 666420.84.

A Clearer Picture

Meanwhile, the walls of the Holy Temple are almost all 6 cubits of 27.5” thick and when we use the square root of (6 cubits of 27.5”) as the edge of the cuboctahedron, we get a volume of 720424.8828, as in the 72 Triplets and the 4248 value of the 22 Names of the Alef-bet, etc. And referring to the 72 Triplets, the same edge length also yields 1143.154 as the sum of the 12 diagonals of the 6 square faces, which is the value of the first row of the 72 Triplet Matrix and the average of its 8 columns.

 

When 5 cubits are used as the edge, as in (5 x 27.5) equals the Phi(φ) angle of 137.5^o or (137.5”), the ratio between the volume and the surface area of the cuboctahedron becomes 3424.420%. The Phi (φ) field always seems to find its way at the heart of all matters physical and metaphysical like the last 3 lines (1375) of the 42-Letter Name Matrix, and the height of the Gates in the Holy Temple (1375”). With the Primal Frequency (27.5 Hz) applied, we see it connecting through the cuboctahedron to Moshiach Ben David (424) consciousness and to the Source, 42. We already know that the Phi (φ) angle (137.5^o) and Pi (π) fields interact to create the infinite pathways of Spherical Time and the equation becomes clearer when we substitute for Phi (φ), removing 5778 from the equation.

Moreover, the 5^th power of the digits in the sum of the 5 quantitative elements of the Torah (401,273) is (4⁵ + 1⁵ + 2⁵ + 7⁵ + 3⁵) = 18107, as in the 107^th Triangular Number, 5778, and Phi (φ)¹⁸, also 5778, with 181 being the 42^nd Prime Number.

Another significant alignment found using cubits involves the date of the Exodus from Egypt and the reception of the Torah and 10 Commandments at Sinai (130) in 2448 HC (1313 BCE), 66.6 jubilee years before the Event Horizon in 5778 HC with each 50-year jubilee period metaphysically equal to the 1375” high Gates of the Holy Temple.  Using the cube root of 2448 in cubits as the edge length of the cuboctahedron, its surface area becomes an astonishing 1300027.0 inches² given that this is the year 1313 BCE and the 13 is echad, One. And while its volume is 119997788.5 inches³ or approximately 120000000 in³, the diameter of its encircling major sphere is 1111.87 inches. Obviously, the cubit and Primal Frequency play an important role in Oneness, as does the design and integration of the cuboctahedron along many aspects of our existence and reality.

Then when the edge length is the cube root of 612 taken as cubits is used, referring to the 612 value for brit, covenant, like the Creator made with Abraham in 2018 HC, and with the Earth in 1658, exactly 400 or 20² years earlier, we see that the volume of the cuboctahedron is 29999447.13 in² or 543 inches shy of exactly 30 million, and that the volume of each of its 13 spheres is 6664201.59 in³ with 543 being the value of “I am that I am (אהיה־אשר־אהיה).”

The Torah’s First Verse

The 26 generations, as we saw linked by logarithms, clearly refer to the YHVH (יהוה) and the establishment of the 6 dimensions of Zeir Anpin, and so does the Cuboctahedron and its 6 square faces.

The cuboctahedron has 7 planar symmetries, as in the 7 words of the Torah’s first verse and the 7 levels of the 42-Letter Name Matrix. That first verse’s final two words, V’Et H’Ertz (ואת־הארץ), of numerical value 703 represent 26.0% of 2701, meaning the first 5 words represent 74%, aligning them perfectly with the most efficient packing of the 13 spheres. If “And the Earth” represents the 26% counterspace of Zeir Anpin and the creation of physicality, then “In the Beginning G-d Created the Heavens” represents 74.05% as in the 13 or Oneness of the spheres (sefirot), the Heavens.

As is known, 703 is the 19^th Hexagonal Number and the 37^th Triangular Number, and that 37 is the inner or ordinal value of Chochma (חכמה), Wisdom, the 9^th sefira whose outer value is 73 and that (37 x 73) = 2701, the 73^rd Triangular Number, the first of the Torah’s Matrix of 18³ verses plus the 13 verses of the 10 Commandments that were brought down separately from above. As we have seen, 37 plays a crucial design role in our DNA and that the word “Ohr Light (אור)” appears 37 times in the Torah.  All those values (7, 13, 19, 37, and 73) from the Torah’s first verse reflect the dynamic structure of the cuboctahedron and E₈ projections with their hexagons and Magen David Stars at their core.  The value of Israel (541) is also a Star Number, as is 181, the 42^nd Prime Number and the sum of the first 42 digits in the set of all Prime Numbers; and 253, the 22^nd Triangular Number related to the 22 Hebrew letters.

Meanwhile, the sum of the digits through 181 (the 42^nd Prime Number) is 378, the 27^th Triangular Number associated with the Essential Cube of Creation and the Alef-bet, and (378 – 248) = 130, as in Sinai and sulam (סלם), ladder.

The cuboctahedron and other hyperdimensional shapes show us that the ladder of the 42-Letter Name Matrix is not a straight one; it is just a 2-d or 3-d projection into our world. It is a 7-dimensional bridge across 7 dimensions that wrap around each other as they expand, in the same way that the 7 Days of Creation do.

There are 127 possible combinations of the Torah’s first 7 words, a metaphor for Sarah’s life that spanned 127 years and all 127 possible combinations. Sarah was the wife and metaphysical sister to Abraham (248) who represented the E8 Structure of Binah. Those 127 possible combinations covered 889 nodes or positions of the (2⁷ – 1) hyperspace array, meaning that 448 or (7 x 64) or (7 x 8²) contained specific word values from the 7 of the first verse, and 441 where essentially empty or in the Binah state of potentiality. That 441 sum is not only equivalent to (1³ + 2³ + 3³ + 4³ +5³ + 6³) as in the first 6 Days, but 441 is also 21² with 21 being the value of the higher Name Ehyeh (אהיה), and 441 also being the value of emet (אמת), Truth, an appellation for the Torah.

As discussed, the Hebrew letter values are aligned with a wave-like positive or negative percentage variance off the 1.313^x curve, and the absolute value for all 27 percentage variances totals 6.1823 or approximately 1/Phi (φ) that is .618033…. Meanwhile, its 21^st letter, Shin (ש), has a variance off its nominative value (300) of precisely 4.48033, like the 448 values.

The 448 specific word values align with the 448 triangle faces of the 8-Orthoplex and the 448,000 mph that the Sun hurtles through space, and while 2889 HC is the midpoint in the Spherical Time radius, 5778 years, and the midpoint in King David (14)’s 70 year lifespan, the year 2448 HC was the year of the Exodus and reception of the Torah at Sinai. In the mirrored symmetry of the Western Calendar it was the year 1313 BCE, while Sinai has a numerical value of 130, the same as sulam, ladder.

The 3 aspects of the Name Ehyeh (אהיה) associated with the 8 dimensions of Binah add up to 455 and (455 – 441) = 14. Nevertheless, there are on occasion times when it is appropriate to use 4 aspects of the Name Ehyeh (אהיה), especially when aligned with the 4 aspects of the YHVH (יהוה).

When the 4 aspects of the Name Ehyeh (אהיה) are accessed their combined numerical value changes from 455 to (455 + 161) = 616, that of H’Torah, The Torah (The Laws). When the kolel (4) is added, they equal 620, as in Keter and the 620 letters of the 10 Commandments, whose counterspace is 380, as in Mizraim, Egypt, a splitting them into the Phi (φ) proportion.

When the 4 aspects of the Name Ehyeh (אהיה) are aligned with the 4 aspects of the YHVH (יהוה), totaling 8 Names, as in the 8 base vertices of the E₈ Lattice and 8 dimensions of Binah, their total is (616 + 232) = 848 or (2 x 424), Moshiach Ben David, the higher state of consciousness.

The Secret of E8 and Abraham

When the 8 vertices are added as we did with the 240 root vectors the average is (848 + 8)/8 = 107, as in the 107^th Triangular Number, 5778, the Spherical Time radius. Those 248 dimensions found in the E₈ Lattice are found in the Name Abraham (אברהם) whose standard numerical value is 248, and whose sofit value is 808, and whose full sofit value is 848, like the 8 expanded Names.

As explained earlier, Abraham (אברהם), meaning Exalted Father, lived 175 years, and appears 175 times in the 248 columns of the Torah.  Of those 175 times, 139 are without prefixes, as in the 5 Essential Sets of Triplets of Creation (14 + 72 + 27 + 11 + 15) = 139.

The 248 dimensions of the Torah and the E₈ Lattice do not actually extend into 248 dimensions of expanded space but into a complex folding within the 8^th dimension of Binah.  We may ask how these connections could be possible, but linear time only exists as a convenience in the illusory world.  In the hyper-dimensional realm of consciousness, where there is no need for physicality or the illusion of it, moments in time are just coordinates in interlocking multi-dimensional networks. The distance between them is determined by similarity of form, not by an elaborate illusion of undefinable space.

Joseph had passed away at the age of 110, and Pharoah had new advisors who foretold the birth of Moshiach so Pharoah ordered the killing of all the Israelite male newborns. We all know that his plan did not work and 80 years later Moses would lead the Israelites to Mt Sinai and receive the Torah and the 10 Commandments. The Torah accounts for this in the 80 times the numerical value of Moshiach, 358, is utilized in it. Moses was not the first Patriarch or kabbalist to use the 112 Triplets, but (2368 + 112) = 2480, as in the value of the 5 Names of the 5 Books of Moses, a number reflected in the Name of the 4^th Book, Bamidbar (248), the Name Abraham (248), the 248 columns in the Torah, and as in the 248 dimensions of the associated E₈ Lattice of which the 112 Tetrahedra and 112 root-vectors are an intricate part.

When those 112 Triplets are added to Abraham (248), we get (112 + 248) = 360, as in the 360^o in a circle, which is the intersection of Pi (π) and Phi (φ) at the core of Spherical Time. But back to Moses, the addition of 112 to the year the First Holy Temple was destroyed, 3338 HC is (112 + 3338) = 3450, as in 10 times Moses (345) and as in the number of occurrences in the Torah of the two words Et (את) and V’et (ואת) from its first verse, that add up to 808, like Abraham and the Monster Group, etc. As for the 196,883 dimensions in the Monster Symmetry Group, the sum of its divisors is 207,360.

Cosmic Ciphers

A more modern gematria cipher, one of a set of revelatory Cosmic ciphers, is based on Pi (π) and Phi (φ) and their relationship with the Alef-bet.  Using the cumulative values of Pi (3.14159…)—3 for Alef(א), (3 + 1) for Bet(ב), (3 + 1 + 4) for Gimmel (ג), etc.—and doing the same for Phi (1.618033…)—1 for Alef(א), (1 + 6) for Bet(ב), (1 + 6 + 1) for Gimmel (ג), etc.—and then adding them together with their respective ordinal values ( 1 – 27 as per the Alef-bet) these new cosmic valuations can be applied to any Hebrew letter or word. In the case of this powerful regressive Name, the total goes from 26 for YHVH (יהוה) to 72 for (י־יה־יהו־יהוה) to 620 for (י־יה־יהו־יהוה) when the cosmic complete πφ cipher is applied.  This new valuation of 620 is the numerical value of Keter (כתר), the highest and crowning of the 11 dimensions (sefirot) of the Tree-of-Life.

That expanded value (620) of the Name YHVH (י־יה־יהו־יהוה) in 4-fold squaring is 2480. And 2480/4 or 620 is the value of the Hebrew word for 20, Esrim (עשרים) as in the value of the name of the first letter in the Name (י־יה־יהו־יהוה), the Yud (יוד) and just to be clear, there are 62 letters Yud (י) in the 10 Commandments for a value of 620, where we find the 620 letters of the 10 Commandments in the 20^th Chapter of Exodus. The expansion is in the Names. The connections are built into the system of the the neural networks of the universal consciousness, cosmic consciousness.

Speaking of the 13 verses of the 10 Commandments, there is one cipher network that intersects with the Path and Network of One through the juncture of 13 and “Echad (אחד), One.” It is the cubing of the individual standard letter values. Thus Echad (אחד) goes from 13 to (1³ + 8³ + 4³) = 577, as in 5778.  Meanwhile, the cosmic cipher Pi (π) plus Phi (φ) intersects directly on the Path of One (1 – 13 – 91 – 455 – 1820) with a new valuation of 91 for Echad (אחד).

And speaking of the Event Horizon radius, 5778, while the cosmic 2πφ cipher gives us a value for the 27 letters of the Alef-bet of 5400, like the 18 triplets in the 54 digits of the Monster Group/8 that total exactly 5400, the cosmic complete 2πφ cipher gives us exactly 5778 for those same 27 letters of the Alef-bet.  This would seem impossible, and it would indeed be impossible unless there was One single Architect and Creator of the Alef-bet, Pi (π) and Phi (φ), not to mention the Sun with its surface temperature of 5778 K, though there is a metaphysical logic to it.  As we just saw, the Spherical Time equation can be simplified to include only 2πφ¹⁸ and 5778 becomes implied.

Moreover, the same complete 2πφ cipher that gave us 5778 for the entire Alef-bet, gives us 248 for Adam (אדם), and its complete πφ cipher is 175, representing Abraham (248) and his age, 175, just as the Torah gave us though its recurrences.  Meanwhile the difference between 248 and 175 is (248 – 175) = 73, as in the 9^th sefira (dimension) of Chochma (Wisdom).

Additional Dimensionality

Those 27 positions of the Essential Cube of Creation and ergo the Alef-bet are reflected in the 27 Chapters in the Torah’s 4^th Book, Bamidbar (Numbers) of numerical value 248.  Nonetheless, because the difference between the 5⁸ words, letters, and verses in the Torah and the 401273 or 248,000φ words, letters, verses, rows, and columns in the Torah is exactly 22³ that difference is also equivalent to (11³ x 8), linking back to the 248 dimensions of the E₈ Lattice structure and the 8 corners of the Essential Cube of Creation that equal 112. Remember, all Torah light is spread by squaring and the square root of the powerful interface word “The Torah (התורה)” is 24.8.

Moreover, the 54 portions of the “The Torah (התורה)” form a hyperspace array of 5⁸ words, letters, and verses that equal 625² or H’Keter (הכתר) squared, and the string gematria value for “The Torah (התורה)” is 54625, with 546 also being the value of the 10 initials of the 10 sefirot (dimensions) of the Tree-of-Life.

It must be noted that the sum of the digits in H’Keter (הכתר) or 625 is 13, echad, One.

A Perfectly Woven Matrix

How do we relate the 248 dimensions to the Essential Cube of Creation?

We must first envision the 13 verses of the 10 Commandments as 13 dimensions, one per verse times 10 sub-dimensions or 130 in total. This is why such a strong point was made in the Torah that it was received at Mt Sinai of numerical value 130 after the 210 years of exile in Egypt, and why 130 is the numerical value for sulam, ladder as well. Moreover, 130φ is 210 and 210/φ = 130.  This is also why these 13 Verses stand outside the Torah.

Together with the 248 dimensions, each connected to one of the 248 columns in the Torah, the 130 dimensions of the 10 Commandments makes (130 + 248) = 378, the fusion of “He and His Name are One” and the 378 dimensions of the Essential Cube of Creation, 1 dimension per positional unit from (1 – 27), 14 in the center. The Torah Matrix is woven together with the 42 Weft threads or rows of the Singularity intertwined with the 248 Warp threads of the E8 Symmetry.

E8 and the Essential Cube

We have seen how the Torah is integrated with the 248 dimensional nodes of the E₈ Lattice and that the E₈ Lattice has a rank 8 root system containing 240 irreducible root vectors spanning R⁸ all of the same length.  As we know, of those 240 root vectors, 112 have all 8 of its coordinates as integers, and the other 128 or 2⁷ have all 8 as half-integers. Those 112 roots with integer entries form what is known as a D₈ root system, while yet another subset of the E₈ root system contains a copy of A₈, which has 72 roots as we saw in the Coxeter plane projection. This connects the system to both sets of expanded Names YHVH (י־יה־יהו־יהוה) and YHVH (יוד־הי־ויו־הי) and to the 72 Essential Triplets/Tetrahedra.

We know that the 112 integer roots correspond to the 8 corners (8, 10, 6, 19, 22, 9, 20, and 18) of the Essential Cube of Creation. The Cube is designed in such a way based on the Singularity of 42 that there is also another set of 8 that equal 112. It is the inner edge positions (24, 26, 17, 15, 11, 13, 4, and 2). There is also a set of 8 that correspond to the 128 half-integers root vectors (23, 21, 12, 25, 5, 1, 14, and 27). The remaining 3 appropriately enough (3, 7 and 16) equal 26.

 613 Mitzvot

There are 613 total mitzvot delineated in the Torah, and 613 is the 112^th Prime Number, as in the 112 Essential Triplets/Tetrahedra and the 112 root vectors that are aligned with the Cosmic Wheel. Within those 613 there are 248 pro-active mitzvot correspond to the 248 dimensions of the Torah and E8.

The 112 Essential Triplets numerically combine with the 248 dimensions to equal (112 + 248) = 360, a circle, while the 336 Letters in the 112 Triplets plus the 248 dimensions and the 27 Letters/Positions of the Essential Cube of Creation work out to (336 + 248 + 27) = 611, as in the Torah (תורה)” of numerical value (611). This represents the union of the Cosmic Wheel with the 248-dimensional cosmic E₈ Lattice, which with the kolel (2) equals 613, as in the 613 total mitzvot.

Mid-Points

Then, when the edge length of the 13 sphere cuboctahedra is 611, as in “Torah,” the surrounding major spherical diameter is 3 times that, or 1833. This is the number of the letters Samech (ס) of numerical value 60 found in the Torah, and it corresponds to the midpoint value of the 42-Letter Name, 1833.  It is notable that (1833 – 1820) = 13 and that the square root of 336, as in the 336 letters in the 112 Triplets, is 18.330.

The midpoint in the 5778-year Spherical Time radius is the midpoint in King David’s life in 2889 HC. When we subtract the midpoint in the 42-Letter Name, we get (2889 – 1833) = 1056 HC, the year Noach was born, 600 years before the Flood. It is also the 32^nd even pronic number (32 x 33). Noach was the 10^th generation, as in the 10 sefirot and 32 Paths in the Tree-of-life.

Expanding to Binah

The 7 planar symmetries of the cuboctahedron are akin to the 7-fold expansion of the Essential Cube into a hypercube. As the Essential Cube expands even further outward into the 2^nd stage (4-d) Essential Binah Hypercube, 8 total Cubes are formed, including the original one. Seven of them do not contain the 27 letters, but 27² letters, which is why the 2^nd tier (קרעשטן) of the 42-Letter Name has a value of 27².

Those 27² letters times the 8 cubes in Binah Hyperspace equates to 5832, as in the 5832 Verses of the Torah plus the 13 separate Verses of the higher 10 Commandments.  In other words, the 5832 or (8 x 27²) Letters in the lower Binah Hypercube contain all the seed information and gave rise to the 18³ or 5832 verses in the Torah. Those 18³ or 5832 Letters are in the ratio (5832/27) or 216 to 1 compared with the 27 Letters of the Essential Cube of the 6 dimensions of Zeir Anpin.

That is, there are 18³/3³ or 6³ Letters for each of the 27 super-packed ones that project our physicality, which of course align with Gevurah (216), the 2^nd level of the 42-Letter Name and with the 216 Letters in the 72 Essential Triplets. It also aligns with the 27 dimensions in each of the 6 symmetrical apexes of the E8 Coxeter plane projection and the cuboctahedron ratio.

With each expanded dimension the number of letters packed into each simple cube increases by an order of magnitude, thus in the 40 3-d cubes that comprise a 5-cube or 5-dimensional Upper Binah Hypercube there are (40 x 27³) or 787320 Letters, which once we subtract the 5832 letters of the 4-d tesseract lower Binah Hypercube works out to twice the 5⁸ letters, verses, and words in the Torah, plus 238 or 1/42.

The ratio of those 787320 Letters of the 5-Cube to the 5832 Letters of the 4-d Tesseract, reflecting Upper and Lower Binah, is 787320/5832 = 135, as in Matzah (מצה). Any questions why the Creator commanded us to clean out our homes and lives to make a pristine space for and to eat Matzah (מצה) on Pesach? Or why as part of the 15-steps of the Seder we must say out loud and invoke (Pesach, Matzah, and Maror) or (148 + 135 + 446) = 27²?

That ratio of 787320/5832 = 135 is also equal to the ratio of the 17280 8-simplices to the 128 root vectors or 17280/128 = 135. Moreover, 135 is the sum of two expanded Names of the Aspects of the YHVH Av (יוד־הי־ויו־הי) and Sag, (יוד־הי־ואו־הי), related to the dimensions of Chochma and Binah.

While those 2 concentric ratios (135 + 216) = 351, the 26^th Triangular Number, associated with the YHVH (יהוה), the 3 concentric ratios (135 + 216 + 27) = 378, as in “He and His Name are One” and the 27^th Triangular Number, the sum of the 27 positions in the Essential Cube of Creation.

The product of those 2 ratios (216 x 135) is 29,160, which relates to one of the Rings of the Cosmic Wheel, as sketched for us by Abraham Avinu. Each of the 7 doubles (בגדכפרת) is applied to each incremental Day of the 363 Day Cosmic Wheel, 29 or 30 each month until all 363 Days are applied, and each letter with its respective numerical value is applied to its respective month: Tav (ת) to each day in Tammuz for the Moon; Caf (כ) to Av for the Sun; Resh (ר) to the days of Sivan and Elul for Mercury: Pe (פ) to Tishrei and Iyar for Venus; Dalet (ד) to the days of Cheshvan and Nissan for Mars; Gimmel (ג) to Kislev and Adar for Jupiter; and Bet (ב) to Tevet and Shevat for Saturn.

Their monthly total is in order from Tevet to Kislev respectively (66, 58, 90, 116, 2400, 12000, 5800, 580, 6000, 2320, 120, 111) = 29,661. But from the Flood date in the middle of Cheshvan straight through to the end of Adar (or the start of Nissan, the first astrological month and the month of Pesach), the total is (2400, 12000, 5800, 580, 6000, 2320, 60) exactly 29,160. These consecutive 6.5 months that total 29,160 thus by definition equal 1/27^th the total letters in the 5-Cube Upper Binah Hypercube.

 

The Other Dimensions of the Torah

Portions

When the edge of the cuboctahedron is set as the √22, as in the 22 Letters, the volume of the individual spheres is 54.0… and the difference between its volume and surface area is precisely 35.008915… as in the magnitude boundaries of the Planck’s Diameter and of the pending solar crescendo on the opposite end of the scale, mimicking the 35 years splits in King David’s 70 year life (2889 HC +/- 35 years) at the center of the Spherical Time Radius (5778). It is also the 35.00 sum of the 6^th roots of the 9 quantitative elements of the Torah, as in (6 x 9) = 54 and the 35.0 cycles of 27.5^o within 963, and the squaring of the circle of the the Primal Frequency 27.5 Hz, in other words the Cosmic Harmonic (1.273) x 27.5 Hz = 35.00.

Then when the edge of the cuboctahedron is set as √54 the difference between its volume and surface area is precisely 424.24595, representing 42, the Source, and Mashiach Ben David (424), the higher consciousness built into Spherical Time.

Chapters

There are also 187 chapters in the Torah divided into its 54 portions. With regard to the 13 spheres of the cuboctahedron, it is synchronistic that the 54-unit shift in the splitting of the Alef-Bet is equivalent to a 13^o shift in a circle, especially since when the edge of the cuboctahedron is the square root of 54, the volume of the 13 spheres is 2701.049942, as in the numerical value of the 7 words of the Torah’s first verse. Moreover, the area of the 8 triangular faces of the cuboctahedron with that same √54 edge is 187.0….

Of the 187 Chapters in the Torah, the middle Book of the Torah, Vayikra, has 27 Chapters with the other 160 divided into 90 in the first two Books and 70 in the last two. This aligns with the 16 vertices of the Binah 4-d hypercube that total 1870; and the 11^th Triplet (פזק) of numerical value 187 of the 42-Letter Name; and with 7-dimensional space:

It further aligns with the 27^th cumulative total value of the first 27 Fibonacci Numbers in cycles of 27.5, which is (514228/27.5) = 18700 cycles.

8 Patriarchs and Matriarchs

In sync with the 8 dimensions, 1870 is also the sum of the values of the Names of the 8 Patriarchs and Matriarchs in the Torah that begin with Abraham (248) and end with Rachel whose value as 1/238 represents 42, like the 248 columns and 42 rows of the Torah: (248 + 208 + 182 + 156 + 505 + 307 + 36 + 238) = 1870. And as discussed earlier, it is the sum of the Names of 6 of the 12 Tribes with the other 6 summing up to 1820 as in the 1820 YHVH (יהוה) in the Torah and the 1820 difference in the two censuses.

While Abraham and Rachel anchor the 8 Patriarchs and Matriarchs (248 + 208 + 182 + 156 + 505 + 307 + 36 + 238) in the lineage of the 12 Tribes, the middle 3 Patriarchs (Isaac, Jacob, and Joseph) equal (208 + 182 + 156) = 546, as in the 10 initials of the 10 sefirot of the Tree-of-Life and as in the Name Israel (ישראל) with the kolel. Meanwhile, the 3 middle Matriarchs (Sarah, Rivka, and Leah) equal (505 + 307 + 36) = 848, or twice 424, Moshiach Ben David, just like the 8 expanded Names and the full sofit Name of Abraham.

Verses.

Similarly, the (5832 + 13) verses in the Torah are divided into 859 in the middle Book and 2743 in the first two with 2243 in the final two. While these reflect the 22 Names of the 27 Hebrew Letters, the 2743 verses are also (2701 + 42), reflecting the sum of the Torah’s first verse and the number of beats in it, the Singularity 42. The 2243 verses can be split into (1100 + 1143) as in the 1143 first row and average columns from the 72 Triplet Matrix plus 1100 or (40 x 27.5), a major interval of the Primal Frequency.  The 2743 verses from the first two Books can be split into (2600 + 143) representing the YHVH (יהוה) and the 143 average Triplet of the first row of the 72 Triplet Matrix. On the other hand, the 2743 verses could be split into 1143 and 1600 or 40², as in the 40 years in the desert.

A final note about the 2 censuses is that together they equal (2 x 600,000 + 3550 + 1730) or (1200000 + 5280), as in the 12,000-year solar reset cycle and the 5280’ mile, which itself is reflective of the full value of the Alef-bet with its 5 final letters: (4995 + 280 + 5) = 5280.  Moreover, while the difference between them is 1820, the value 355 is that of Shanah, meaning year, and 173 is the small gematria value of the 42-Letter Name.

Since the last reset occurred with the Flood, there is a curious Spherical Time equation that incorporates the dates for Israel’s formation, which as prophesied occurred 70 years before the 5778 Event Horizon in 5708 HC (1948 CE), symmetrically aligning it with Abraham’s birth in 1948 HC and with his Covenant with G-d in 2018 CE, 70 years later. Subtracting the date of the Flood yields exactly (5708 HC+ 1948 CE) – 1656 HC = 6000 years, the limit. Cosmically, it is not so curious since a devastating Heimlich event happens on Earth every half-cycle as well, every 6000 years.  The 12,000-year Parker Instability waves that surge through our galaxy and pass through our Solar System are not just waves of interstellar dust, but electrical and magnetic perturbations that interact with all the magnetic fields. Moreover, the Solar System is little more than a system of magnetic field lines connecting the Sun and the planets, including Earth. That frequency perturbation has its crests every 12,000 years and alternately its troughs, or Galactic Minima, in between at the 6000-year mark. They both have similar effects on the delicate magnetic balance and dance between the field lines and the tentacles of the planets and the Sun, only the 12,000-year crest aligns with the Earth’s magnetic excursion with much more catastrophic results.

A New Perspective

That there are 112 sets of 8 root vectors is not a sign from the Cosmos, it is a hyperspace projection from the 8 corners of the Essential Cube and alternatively a projection into them, a compacting of information, like the 8 central positions of 14 from the 8 cubic cells of the Binah Essential Hypercube that total 112, all linked to the 112 tri-fold forces called the 112 Essential Triplets.

The shortest way around a cube to return to the starting point is simply to follow an edge making 4 right (90^o) turns and the longest way is to traverse the diagonals also making 4 right (90^o) turns, the difference for a cube of edge length 1, is 4 to (2 + 2√2) or 4 to 4.82842, or about 20.7107% farther.

In the case of the Essential Cube where there is no edge length, only a fixed set of 27 fields organized in a very specific arrangement so that their vectors are always oriented toward 42 as if 42 were the magnetic Source of the universe, the null point.

In the case of the Essential Cube the distance is measured by adding up the various positions in any edge or diagonal. While each edge measures 42, the 9 positions to circumnavigate any face varies from face to face, but over the 6 faces its average is 672/6 = 112, which incidentally align with the 672 unique faces of the 7-dimensional hepteract that also has 128 edges to match the 112 average just obtained, as in the (112 + 128) root vectors of E8.

The same is true for circumnavigating the 3 planal axes, they each have a distance of 112. The longer distance across the diagonals also traverses 9 positions and is 112 for either of those two possible longer paths. The distances are now equal in all 360^o.

This makes sense spiritually and metaphysically but makes no sense in the Euclidean Geometry in which our minds are fixed.  It does make perfect sense, though, if the Essential Cube of creation was a Sphere.

Now, no matter how we wrap all the way around it, the distance is always the same. All the hyper-dimensional geometries of the Cosmos have been whittled down to their simplest forms for us. The Cosmos is not trying to give us a full Understanding; it is giving us a taste, just enough to wet our desires for elevation, to reunite with the state of consciousness.

Projecting that spherical cube into a spherical hypercube we get the toroidal structure that is at the core of all our physics and metaphysics and Spherical Time.

Our perceived universe, no matter how intricate or how vast, is a projection from the mind of the Creator and our sole purpose in it is to mature and elevate our consciousness to the point where we no longer need that projection. That is when the recycling ends for us individually. It ends for mankind, when enough people share this understanding and a critical mass is achieved.