Tuesday, December 31, 2019

VaYigash

This week’s parashah has a beautiful geometric reflection of the letters in God’s Explicit Name, hidden in at least three places, beginning with the text that tells us, ‘...these are the sons of Yaacov's wife Rachel."

If you are new to this blog then you should read each of the essential constructs listed in the column to the right before proceeding. These pages explain some of the basic connections between the letters of God's Explicit Name and the multidimensional mathematic and geometric characteristics of the luchot (tablets of the covenant) both in the divided state and combined cubic form, along with the internal geometry that casts a shadow known as a magen david. There is a special connection between the Name, the luchot and the geometry of the magen that creates a unique signature. The purpose of this blog is to show how they connect with one another and to reveal where this Signature of the Architect is hidden, not only in each week’s parashah, but the physics of time and space, quantum mechanics and celestial dynamics to name a few. Without the background provided by these essential constructs, the posts will make little sense.

Regarding the first instance of the three mentioned above, this Name is hidden within the details of the phrase referring to: “the sons of Yaacov’s wife Rachel,” and its counterpart: “all the souls coming to Egypt... not counting the wives of Yaacov's sons.” 

In this segment of the text, Rachel is specifically identified as Yaacov’s wife. In the case of the other three matriarchs, Bilhah, Zilpah and Leah, the Torah merely says “these are the sons of...” without identifying them as Yaacov’s wives. Rashi finds this noteworthy, saying that Rachel is mentioned singularly as the wife because she was mistress of the household. However, there is another explanation. The ratio and the numbers are a faint reflection of the same math and geometry that appeared in last week's parashah. 

Last week, Pharaoh’s dream encompassed a 14 year period, one in which Yoseph was not only a ruler but the most powerful man in the known world. This 14 year period of time was directly mentioned in the text, while the preceding 14 year period (starting when he was sold a slave) was not directly mentioned. The numbers, the ratio and the nature of the elements all correlate with the male-female polarity of the royal seal or magen david (with 14 elements in one half, opposite 14 elements in the other half) and the corresponding male-female letters of the Name (associated with each tetrahedral point) that sustain a physical universe in like form.

The time in which Yoseph was a slave had to be calculated by subtracting the year in which the “years of plenty” started, from the time when Yoseph was sold. These 2 periods of 14 years stood opposite one another, and also in stark contrast to one another, alluding to the Name of the Architect found in the geometry of the royal seal (three-dimensional magen david) as the 14 elements of the male and 14 elements of the female halves of a star tetrahedron. This in turn is a reflection of the mathematic nature of the Triad Name (recalling once again a tradition that the luchot were “tetrahedrons” and knowing that their combination in the form of a star tetrahedron is one of 5 internal mathematic constructs found with the combined cubic form of the luchot). 

The marriage of the abbreviated forms of this Name can also be seen in the narrative where 1 wife (Rachel) was mentioned by name in the text. She was "different" from the other 3 (Bilhah, Zilpah and Leah) who were not mentioned. This is a reflection of the ratio between the letters of the 4 "couples" that are married together (in unification) or more specifically the Tetragrammaton and those in the Havaya of Adnoot, as explained in the post on Parashah Ki Thetze and also the Marriage of the Letters. It is also a characteristic in a primary geometric component of the royal seal, specifically the tetrahedron, which has 3 points in one (lower) dimension (corresponding to Leah, Bilhah and Zilpah) and 1 point in the dimension above (Rachel) specifically identified as Yaacov's "wife" in the text. This same geometry is observed throughout the Torah, one example being the 4 strands of tzitzith that are doubled over: 3 white and 1 techelet. Each is a facet that is a characteristic of the blueprint (luchot) which is in turn a facet of the Name and its abbreviations.

In this week's parashah we see the same tetrahedral geometry and the same reflection of the male and female halves, where Rachel was the matriarch with 14 male descendants, hence the specific reference to her as Yaacov's wife. As with the previous reflection, these 14 souls are also mentioned directly in the text “...these are the sons of Rachel... in all 14 souls.” The 14 daughters of Yaacov however, are not mentioned directly, but alluded to where it refers to the wives who were not counted (each son by tradition having a twin sister at birth). The combination of male-female “elements” (in the 14 sons mentioned, and the 14 daughters not mentioned) is a very bright reflection of the tetrahedral geometry in the royal seal. These were the daughters of Yaacov, 14 in all (the female) counting Dinah and the triplets of Rachel (2 of which were daughters). In other words 14 male opposite 14 female. So once again we have an allusion to the internal geometry of the luchot (tetrahedrons) in this particular form. For more information on this one-dimensional mathematic expression and its three-dimensional counterpart (which are both reflections of the royal seal and the letters in the Name) see last week's post on Miketz 
and also the post on Emor.

In the second instance, the Triad Name is seen as a mathematic reflection of the words Israel (Yaacov) spoke to Yoseph “Now I can die, I have already seen your face, for you are still alive.” An explanation of this reference will have to wait until next week’s parashah, when this particular geometric reflection culminates in the events and the correlation is complete (in VaYechi). 


The third and final instance that we will mention, is one of the more significant in the entire Torah where: “all the souls coming to Egypt with Yaacov... were 66,” together with “all the souls of Yaacov’s house coming to Egypt were 70.” This would seem to be a contradiction, except for the fact that 4 souls were already in Egypt (Yoseph, Aseneth, and their two sons  Ephraim and Menashe). The ratio of 4 to 70 is found numerous times in the Torah. It is found twice in this parashah alone. The first example is mentioned (directly) above. The second example is alluded too indirectly, where “Yoseph gathered up all the money [and] ...brought the money to Pharoah’s treasury.” It is well known that there were 4 treasuries of gold. What is not so well known is that each contained “70 quintles of the precious metal.” The ratio of 4 to 70 is also found in Mishpatim where, Moshe, Aaron, Nadav and Avihu (4) along with the 70 elders ascend before the throne (of God) and it is found in “11 kinds of spices were in it, as follows: stacte, onycha, galbanum, frankincense (4 spices) each weighing 70 maneh,” to provide the obvious examples.



These numbers or sets of numbers, and this ratio in particular (whether the 4 are included or excluded from the 70) holds a very deep secret that is examined at length in the post on "the Incense and the 216 Letters."

In-so-far as this post is concerned, it is sufficient to point out that when a tetrahedron (with its 14 elements) is subdivided by an opposing tetrahedron, the result is not only a magen david (in the geometric form of a star tetrahedron) but the number of elements in each (subdivided) tetrahedron increases (from the 14 mentioned above that were described in the post on Miketz) to 70 elements. There are 4 stellations (or points) on each of the tetrahedrons of the star after the subdivision (see the pictures below).

View of a Star Tetrahedron from the Top
Click to Enlarge


In the meantime, the number of elements resulting from the division is calculated as follows. The subdivision results in 4 tetrahedrons that are half the size of the original, and 1 octahedron in the middle. A single tetrahedron is made up of 4 faces, 4 points (8 elements). The 4 tetrahedrons together thus have 16 faces and 16 points (32 elements). The octahedron in the center has 8 faces and 6 points (14 elements). The lines that cause the division (from the intersection) are one-dimensional and should not be counted twice (as separate elements on each of the resulting geometrics). Therefore the number of lines equals 4 x 6 or 24. The 24 lines together with the 22 points and 24 faces equals 70 elements. The stellations, or points on the star (4 on each) can be further subdivided in like manner, the result being a star tetrahedron with 2 tetrahedrons, each with 4 stellations having 70 elements, with a total of 72 triangular corners that geometrically reflect the 216 letters of God's Explicit Name in their triad form. It also appears in the tetrahedral geometry of the stone where each of the 4 triangular faces is divided by 7 lines of division (between each handbreadth of its measurement) with each of the 7 points of intersection on the line having 10 vectors (70) in five-dimensional space (the ten vectors of those five dimensions being enumerated in sefer yetzirah). 

Note also (below) that a two-dimensional magen david can be seen in the orthographic projection of just one tetrahedron so divided.   

The 70 Elements of a Tetrahedron
(after being subdivided by its polar opposite)


The Orthographic Projection in the Three-Dimensional Magen David Above
(seen as a “shadow” in each 'half' below)


The important thing to remember is that God’s Name is imprinted (mathematically and geometrically) on every aspect of time and within every dimension of physical space in His creation, as well as the intrinsic characteristics of things Jewish.


Monday, December 23, 2019

Miketz

In Miketz, we find mathematic allusions to the letters of the Triad Name hidden in so many forms and so many places that we cannot mention them all in a single post. Some are found in the volumetric measure for the combined cubic form of the luchot. Others emerge from its internal geometry in the form of the royal seal or magen david. 

If you are new to this blog then you should read each of the essential constructs listed in the column to the right before proceeding. These pages explain some of the basic connections between the letters of God's Explicit Name and the multidimensional mathematic and geometric characteristics of the luchot (tablets of the covenant) both in the divided state and combined cubic form, along with the internal geometry that casts a shadow known as a magen david. There is a special connection between the Name, the luchot and the geometry of the magen that creates a unique signature. The purpose of this blog is to show how they connect with one another and to reveal where this Signature of the Architect is hidden, not only in each week’s parashah, but the physics of time and space, quantum mechanics and celestial dynamics to name a few. Without the background provided by these essential constructs, the posts will make little sense.

For those already familiar with the basic concepts, we’ll start our examination of this parashah with the statement that: “...two years passed to the day [and] Pharaoh had a dream.”



Why was it important for this event to occur at this precise moment in time, as it says "two years passed to the day." What happened exactly two years earlier? Pharaoh’s two courtiers, his wine steward and his baker, each had a dream (the year was 2228). We’ll come back to the year in a moment. In the meantime, Yoseph interpreted their dreams and then 3 days later these dreams came true. The baker was executed and the wine steward released as Yoseph had said. Yoseph of course, was relying on the wine steward to tell Pharaoh of his innocence and he failed to do so, thus “two years passed to the day [before] Pharaoh had a dream."

Mathematic and/or geometric shadows of the Triad Name are often embedded in events like this. Some play themselves out over periods of time. Others occur at specific moments in time. Still others are found in a combination of both. In this case it requires this precise "moment in time" for God’s Signature to be revealed. The timing is a function of the mathematic center point between two opposing tetrahedrons (the explanation will be diagrammed in subsequent paragraphs). It was at this moment that Yoseph transitioned from being an imprisoned slave (the lowest state) to being the most powerful man in the known world (the highest state). This can only happen in a cosmic plan of unprecedented proportion. When it does, we can expect to see the Signature of the Architect somewhere mathematically hidden beneath the surface, and indeed we do. How does this reference correspond to the Name of the Architect?



Before delving into these numbers we need to backtrack to Toldot when Yaacov and Esav (the twins) are born. It was the 108th year of the millennium. The twins, or 2 being "born" in the 108th year, is a reflection of a larger reality originating with the 'letters' of the Name and the luchot that these 'letters' define, where 2 x 108216. Coincidence? Time moves forward and then "coincidentally," another 108 years pass, at which time (again "coincidentally") Yaacov  reaches the age of 108. He then assigns the royal garment to Yoseph and it just happens (again "coincidentally") to be the 216th year of the millennium. All the numbers are clear reflections of the mathematic template for creation (the luchot) and its division when it was brought down (108 cubic handbreadths + 108 cubic handbreadths = 216 cubic handbreadths).

In the case of this parashah, this same allusion is seen as a reflection of the complex geometry within the luchot, or more specifically the three-dimensional magen david (star tetrahedron) within its combined cubic form, which has 36 triangular corners (3 x 36 = 108) on one tetrahedron opposite 36 triangular corners (3 x 36 = 108) on the other tetrahedron (as explained in the page on 'the sapphire magen david' to the right). The allusion (in this parashah) merely emerges from a different "set" of numbers, pertaining to the exact same geometry. Where is this unique set of numbers found? 

After the events and their respective dates mentioned above transpire, time again moves forward and Yoseph is sold that very year (2216). He works as a slave until his release from prison in the year 2230. Thus, 14 years pass (exactly 14 years) during which Yoseph is a slave. The "moment in time" arrives (in this parashah) for "Pharaoh [to have] a dream" that will result in a complete reversal. What period of time does Pharaoh’s dream encompass? It’s about the next 14 year period of time. The “fulcrum” (or moment in time) between the two "halves," or two 14 year periods, is when Pharaoh has a dream and Yoseph transitions from being a slave, to being the viceroy of Egypt, where he would effectively become the most powerful man in the known world. In other words, the mathematic center point (the dream mentioned above) is at the exact moment in time separating these two 14 year periods. These two periods stand in stark opposition to one another (14 opposite 14) not only in terms of time, but in terms of stature and any number of other polar opposites like feast and famine. Mathematically, this week's parashah brings us to a moment in time (a mo'ed) that separates the two halves of reality that are seen above as 108 opposite 108. How do these two opposing 14 year periods of time equate to 108 opposite 108? What does it mean, and why is it significant? Both sets of numbers originate in the metrics of the luchot and its internal tetrahedral geometry. 

In Parashah Emor we showed how this geometry took the form of pairs, and specifically pairs of opposing 7s and/or pairs of opposing 14s. These pairs are one-dimensional expressions that 'describe' the tetrahedral geometry of the “royal seal” (
7s in two dimensions, 14s in three dimensions). More specifically, the pairing correlates with the metrics for each opposing half. In two dimensions each half consists of 7 basic elements. In three-dimensions, each half consists of 14 basic elements. If you’ve not yet read the post on Parashah Emor, now would be a good time to do so. If you are new to this blog, again, you should read the essential constructs listed in the column to the right before proceeding, as they explain the basic mathematic and geometric characteristics of God’s Explicit Name. 


The Elements of a Two Dimensional Magen David
(as 7 Opposite 7)



An ordinary magen david is essentially a two-dimensional shadow of a three-dimensional star tetrahedron which is characterized by 72 triangular corners. These corners have a direct one-to-one mathematic correspondence to the number of letters in the Triad Name (3 x 72 = 216). The star consists of two tetrahedrons that have been merged or married together in opposing directions. Each tetrahedron consists of 14 elements (4 faces, 4 points and 6 edges = 14 elements) and so two tetrahedrons can be described in terms of the 14 elements on one, opposite the 14 elements on the other (just like Yoseph's 14 years as a slave opposite his 14 years as a ruler in Pharaoh’s dream). The number of triangular corners is ultimately 108 opposite 108, and so these two sets of numbers converge in the geometry of the royal seal. One set represents the number of basic elements in each half. The other set represents the number of corners on each of it triangular faces. It would be one thing if this phenomena was limited to just the narrative of the Torah. It's another to find the same phenomena in the physics of the universe. Contemplate the significance of this before proceeding. If you've read the post on the Primordial Torah, then you've seen how the mathematic characteristics of the cosmic blueprint give rise to the nature of the physical universe, as well as the history of mankind, and there is no doubt as to its statistical significance or the odds that its various measurements (in terms of cause and effect) are far more than mere coincidence (using even the most stringent of statistical analysis).

14 Years as a Slave Opposite 14 Years as Ruler



When the 14 elements of the one tetrahedron are merged together with the 14 elements of the other tetrahedron, they subdivide one another and become the stella-octangula, or star tetrahedron (three-dimensional magen david) with 72 triangular corners mentioned above. 

The numbers reflect the geometry of the letters in the Explicit Name with 72 triplets, and the male-female pairing alludes to the division of the letters in male~female form, that was necessary to create a universe in like form. However, at the same time, it alludes to the  (re)unification of the (letters in the) Name: “For the sake of the unification of the Holy One blessed be He...” where the letters associated with the opposing halves will be unified/sanctified in the minds of those who would witness the events soon to transpire in Egypt.



The Merging of Two Tetrahedrons
(Star Tetrahedron)







The Magen David
A Shadow of the Star Tetrahedron
A Three-Dimensional Geometric Construct within 'the' Cube of Sapphire


In last week's parashah, you will remember that the “stars” in Yoseph’s dream had a similar mathematic relationship to the number of letters in the Triad Name, although in that case, the correlation was at the two-dimensional level. Specifically, there were 12 (two-dimensional) stars with 6 points having 3 corners, for a total of 216 points. The numbers, or sets of numbers, and the ratio here, are slightly different, but the resulting mathematic reflection is the same. The 14 opposite 14 (or 2 tetrahedrons in the three-dimensional star) when merged together, again have 72 triangular corners (3 x 72 = 216) and so both, in their own way, reflect the Signature of the Architect in the associated events. The unification of the 11 stars (with the 1 already in Egypt) alludes to how Yoseph’s descent into Egypt would bring about a unification that would sanctify God's Name. Now, in Miketz, we have the 2 opposing 14 year periods of time alluding to the same thing. These mathematic and/or geometric reflections are everywhere, like ripples in a pond, and there are more of these same allusions to the royal seal or magen david (really the geometry of the Name) in this parashah.

In Pharaoh’s dream, for example, there are 14 cows and 14 ears in two dreams (again 14 opposite 14). Remember the luchot were brought down twice and so internally, this would geometrically 'create' two stars. So in the narrative we see two opposing 14s in two dreams. As if to emphasize the underlying significance of the number 14 in the parashah, as it would relate to the Name, the small gematria of Miketz is also 14.



In the cosmic scheme of things, our existence may be little more than a metaphor for God's Name! Even the motion of the stars and planets conform to the geometry of its letters. As the stars move through the heavens, their circular journey takes roughly 26,000 years to complete, alluding to the gematria of the Tetragrammaton (yud-key-vav-key) which is 26. The time period for each constellation in the precession is 2,160 years, a multiple of the number of letters in the Name. Moreover, the axis of the earth moves 1 degree every 72 years in relation to the stars under the rolling vault of heaven, all of which allude to the Triad Havaya of 72 and the mathematic nature of His Signature within the luchot. In this parashah, a reflection of the royal seal and its 72 triplets is hidden in so many places beneath the surface of the text, that it is difficult to ignore.

In addition to the pairs of 14s mentioned above (associated with the three-dimensional form of a tetrahedron) there are also patterns of 7s that correspond to the same geometry in two dimensions (the magen david being a two-dimensional shadow of the star tetrahedron). In fact, the number seven is mentioned a total 28 times in this portion of the Torah, the number being the sum of opposing 14s. Keep in mind that the process started with the dreams of the baker and the steward in the year 2228; that exactly 28 years elapsed between the sale of Yoseph, until the end of the period of time in Pharaoh’s dream (14 + 14 = 28) as well as the two opposing periods of time in which Yoseph's status would be either slave or viceroy (14 + 14 = 28). So the number of times that the number 28 is found in the text as a function of 7s and 14s, characterizing various events, is a further reflection of the geometry in the royal seal and the letters of the Name, but in this case as they apply to the events involving Yoseph.

The breakdown of these twenty eight 7s is quite revealing in and of itself, since they form their own unique pattern over and above what has already been discussed. However, before we explain how and why the breakdown of these 7s is so significant, it is worthwhile reviewing the geometry of the royal seal, and how it correlates with the 216 letters, so that we don’t lose sight of the larger reality (which is how God's Name 'rules' time and space).

There are 8 faces on (the) two tetrahedrons that form a three-dimensional magen david (star tetrahedron) as shown in the picture below. Each face is triangular. Each face has a polar opposite, and each face has 7 basic elements (3 lines, 3 points and 1 face) those opposites being 7 opposite 7. When each triangular face is married to its polar opposite, the result is a magen david. There are 8 triangular “halves,” and the 4 faces of one “merge” with the 4 faces of the other (in geometric male-female fashion). The marriage of the 4 with there 4 counterparts, creates 4 two-dimensional magen davids. It's important to remember that these pairs (at the two dimensional level) are actually the 8 faces of the star tetrahedron (at the three-dimensional level). So even though they are "married together," they nevertheless remain separate and apart from their counterparts by virtue of their position in the third dimension. The geometry is identical to the nature of the abbreviations of the Name: the 4 letters of the Tetragrammaton (Yud Key Vav Key) opposite the 4 letters of the Havaya of Adnoot (Aleph Dalet Nun Yud) that are (in unified form) the 4 letters of Ehyeh (Aleph Heh Yud Heh). The letters must remain separate and apart or else the "duality" (in physics and quantum mechanics) would collapse and universe would return to it's original state prior to creation.

The picture below shows two opposing faces (in red and blue) that constitute one magen david (of the 4 that ultimately define the faces of a star tetrahedron). The faces are skewed because of the angle in which they are viewed, so that you can see where they are in relation to one another and to the other three pairs of triangular faces.



2 of the 8 Opposing Faces on a Star Tetrahedron
(Components of a Two-Dimensional Magen David)




We see pairs of 7s (or two halves of a magen david) and always in opposing form, because of their geometric origin in the Primordial Torah. However, we also see them as triplets (three 7s) where the number 7 is mentioned three times in succession like 7, 7, & 7; and/or 7 x 7 x 7).

Three 7s mathematically allude to the 3 dimensions of physical space that move through 1 dimension of time, as seen in the measure of the luchot as 7 x 7 x 7, which is the primordial origin of time, found in cycles of 7, defined for example by calendar related halachic observance (mentioned many times throughout the blog). 


In addition to what has been explained above, three 7s is also a one-dimensional expression for “the measure” of each side; of each face; of each triangular half of a tetrahedron (with 7 elements per face). You can see this in the picture below, where each of the three sides on any given face of this tetrahedron are measured in terms of 7 places or positions, and how this results in a total of 28 places/positions in the triangular matrix. 
  

How Three 7s or 28 Elements Define
the Edges and Points of any Given Face on a Tetrahedral Matrix of 7


What’s interesting is that three 7s with 28 places/position (like the period of time involving Yoseph that we mentioned above) can define any given face, or they can define the entire star tetrahedron when it is expressed in terms of its 14 elements opposite 14 elements (28). One is its two dimensional reflection, the other is its three-dimensional reflection. In this parashah we see the interconnectedness of these numbers, sets of numbers, ratios between the sets, in both two-dimensional and three-dimensional magen davids, as well as the numbers characterizing the events that are unfolding.

Having examined 7s and 14s as they relate to the two-dimensional triangular or three-dimensional tetrahedral geometry, and their relation to the royal seal (which is a reflection of the number and nature of the letters in God’s Name) we will proceed to examine the significance of the breakdown in the 28 times the number 7 is mentioned in the text.

The breakdown (that we will list in a moment) consists of two opposing groups of three 7s, followed by another two opposing groups of three 7s. There is a brief separation in the text and then we see two pairs of 7s followed by another
two pairs of 7s. Finally, these patterns transition to one (single) pair of 7s; followed by a second (single) pair of 7s; followed by a third (single) pair of 7s; followed by a fourth (single) pair of 7s. Notice also that it progresses from groups of threes, to groups of twos, to groups of ones, a progression that nicely correlates with the concept of one, two and three-dimensional space.

The pattern starts with the three's:

41:2,3 & 4: three 7s
41:5,6 & 7:
three 7s
 
(then there is a separation in the content of the text before the next two groups appear)

41:18, 19 & 20:
three 7s
41:22, 23 & 24: three 7s
 
(there is another separation in the text and then mention of 7s appear as two pairs)

41:26:
two pairs of 7s
41:27: two pairs of 7s
 
(then the pattern shifts again to single pairs of 7s)

41:29 & 30: first
pair of 7s
41:34 & 36: second pair of 7s
41:47 & 48: third pair of 7s
41:53 & 54: fourth pair of 7s

In each case, the pairs (insofar as what they are describing) oppose one another, in one form or another, like fat cows versus skinny cows; or healthy ears versus shriveled ears; years of plenty versus years of famine, etc; like the opposing nature of the letters in the geometry of God’s Name and the nature of their reflection in the geometry of the royal seal.

These numbers; opposing sets of numbers; and ratios, are geometrically unmistakable. Three 7s define any given face of a tetrahedron. Four mentions of three 7s define all four triangular faces of a tetrahedron (shown below) where the measure of each face is defined in the text by reference to three times 7 places/positions, or the 28 elements (on each face).



Male "Half" of the Magen David



As we said above, the four mentions of three 7s define the four triangular faces of one tetrahedron. One tetrahedron? It takes two tetrahedrons to make a star tetrahedron or magen david (the royal seal) to properly reflect the Signature of the Architect with 216 letters. If we consider the "half" of the star tetrahedron above as the "male" half, then where’s the female half?  You'll find out in a moment.

In the meantime, the next set of numbers consists of two pairs of 7s, which (in terms of basic elements) define four faces on one tetrahedron. This is followed by another two pairs of 7s that define the four faces on the other tetrahedron. The two together, define the 8 faces (4 opposite 4) of the star tetrahedron with its 72 triangular corners (3 x 72 = 216).


Magen David Within
the Combined Cubic Form of the Luchot



With the completion of the above Signature in the three dimensional form of the royal seal, we seem to have a lop-sided equation. The four mentions of three 7s in the first section above (involving 4 references to three 7s) essentially "create" one tetrahedron by themselves. The second section defined two tetrahedrons (a complete star tetrahedron). Where's the other half of the first tetrahedron? We mentioned this missing half several paragraphs above, but we're about to find it in the next set of numbers, where 4 more pairs of 7s are mentioned.

Specifically, there are 4 more (single) “pairs” of 7 mentioned, and these define yet another tetrahedron. So now we have, for lack of any better words to describe the mathematic aspects of the story, a "female" tetrahedron to go with the lonely "male" tetrahedron first mentioned above. The end result is that the sequence starts with the male "half," of a tetrahedron, followed by another male but this time with a female tetrahedron, followed by another tetrahedron or "half" of the first tetrahedron. Altogether, the mathematic components for two complete star tetrahedrons are found in these numbers.


Keep in mind that the geometry of a tetrahedron is hidden internally within a cube, and that the two luchot were divided and brought down twice. The two combined cubic forms would have two star tetrahedrons (consisting of four regular tetrahedrons) mathematically hidden in their internal geometry. The first set was shattered. The second remained intact. The luchot were “divided,” like the male half and the female half above, found in the sequence of numbers mentioned in the text.


Female "Half" of the Magen David



It is worth emphasizing again, that the star tetrahedron (royal seal) is merely a geometric reflection of the nature of the letters in the Explicit Name. In the cosmic scheme of things, God separated the letters of His Name into their respective male-female counterparts in order to create and maintain a universe in like form. The 4 letters of Ekeyeh, were thus divided and became the 4 letters of the Tetragrammaton opposite the 4 letters in the Havaya of Adnoot (Aleph-Dalet-Nun and Yud). We see a reflection of the mechanics of this in the commandment of tzitzith (4 opposite 4 on 4) as explained in the post on Ki Thetze. Just as the 4 letter abbreviation was divided, so too was the 12 letter (abbreviation) of the Explicit Name, as seen in its reflection in the 12 stones on either side (and in the middle) of the Jordan River, as explained in the post on Ki Thavo. Here we see the same thing in the geometry of the royal seal, which casts its shadow below in the form of the events taking place in this week's parashah involving Yoseph and this is worth contemplating.

No matter how we break down the geometry, its source above (in the letters of God's Name) in recombinant form, return to either 4, 12 or 108 (letters) which can be represented by just one tetrahedron (one of the five internal mathematic constructs in the combined cubic form of the luchot). Without its polar opposite (in male-female combination) it exists only as one construct. The physical universe cannot exist in this form. However in the world above, where there is perfect unity, no such division is needed. The reflection of the Name in this parashah is seen both in its unified state (above) and in its divided state (below) where we say“...for the sake of the unification of the Holy One, blessed be He, and His Name... to unify the [letters of the] Name,” lest we mistakenly think He is somehow “divided,” when in fact He is a perfect unity. 

The text itself is a witness to this reality. The 7s found in the dream about cows (41:2-4) that are then repeated to Yoseph (41:18-21) are all beside one river (the Nile). The 7s found in the dream concerning the ears of grain (41:5-7) that are then repeated to Yoseph (41:22-24) are all on one stalk. The language used in the description of the dreams where we find these 7s (where each is associated with one thing: either the river or the stalk) hints to the fact that the numbers are associated with one specific construct, like the numbers that define one tetrahedron. These stand opposite another specific construct, the opposing tetrahedron. The two (opposing tetrahedrons) however are also one unified construct in the form of a star tetrahedron as defined by the numbers corresponding to its various elements. And so when Yoseph interprets the dreams in 41:25 he says, “it is all one dream,” which is tantamount to saying that the previous two are really one, just as the opposing abbreviations of the Name, are really one. The words of the song: "...life is but a dream," comes to mind, and they may be a more accurate description of reality than anyone thinks.


In summary, patterns of 7s, in the form of three 7s and/or pairs of 7s are found throughout the entire Torah and in each case, the numbers conform to the geometry of the royal seal and the letters of the Name hidden in its geometry.

Having mentioned all of the above, with a special focus on the twenty eight 7s in the first part of this post; and showing how they divide into, for example, three 7s; followed by two times two pairs of 7s etc., and their connection to God’s Name and the magen david, it is worth examining the mathematic characteristics of the triangular matrix of 7 (half of a magen david) more closely, and also its three-dimensional counterpart, the tetrahedral matrix of 7 (which we’ve not yet done). When we look at the geometry associated with this part of the “blueprint,” an interesting pattern emerges, one that matches the actual words of the Torah describing the nature of the events and considerably more!

The diagram below uses triangular elements to measure and define the edges, points, and ultimately the face of a triangular matrix of 7. Keep in mind that these divisions are the result of the measured geometry of the evan shetiyah discussed at length in the essential constructs to the right. We’ve made the 7 elements themselves triangles (triangles within a triangle) since this is the actual result of the lines of measure that would run through the foundation stone. You can see (as you should have noticed in the previous models) that the edges are defined by three 7s, and the total number of “elements” (triangles) is twenty-eight. Using this method however, which is more consistent with the letters in the Triad Name and the nature of the magen david, you’ll notice that this creates a “counterpart” to each element in the form of another triangle, but the counterpart points down, instead of up, like the two halves of the royal seal.


Click to Enlarge

The points on each of the above triangles represent the 28 elements in the triangular matrix delineated by 7 lines ( the white triangles that are pointed down, are the female counterparts to the blue that are pointed up). It is worth noting that a square array of 7 consists of 7 x 7 (or 49) elements. That’s easy to calculate. The number 49 is the simple product of the two dimensions. The triangular matrix however, is different, and more restricted. It cannot be calculated by the product of its two dimensions, as you can see from the above diagram.

As mentioned many times throughout this blog, there are things hidden beneath the surface of various two-dimensional constructs (underlying the text of the Torah) that are not revealed until they can be observed in three-dimensions. So, in our quest to know and understand the relationship between God’s Explicit Name, the royal seal in the form of the magen david (which is essentially a mathematic construct within the combined cubic form of the luchot) and how these in turn relate to the physical universe and the events that shape the history of Israel, we will now “extrude” our two-dimensional royal seal (as a triangular matrix of 7) into three-dimensions. Keep in mind as we do, that this geometry is a reflection of the characteristics of the 216 letters in the Explicit Name (the 72 triangular corners of a star tetrahedron, in essence being a geometric reflection corresponding to the nature of the letters in the Name). The diagram below shows a three-dimensional tetrahedral matrix of 7 (7 lines of delineation) in the measure of the cube that surrounds it.



Click to Enlarge

Tetrahedral Matrix Delineated by the Seven Lines
of the Cube that Surrounds it

7 Points on the 3 Sides of Each Face = 21 Border Points/Lines 
Creates 28 Points of Intersection on Each Face

The left side of the model is the two-dimensional face (pictured previously) but here it is shown in three dimensions as it relates to the tetrahedral matrix. The right side (of the model) shows that each of the blue triangles (that are “elements” in the triangular matrix of 7) are small tetrahedrons in the third dimension. However, as it turns out, the white triangles pointing down, are not tetrahedrons at all. Rather, they are the triangular faces of an octahedron. The octahedron is also one of the five mathematic constructs within a cube, but its defining characteristics are its 4 faces on one side, opposite 4 faces on the other. These faces have a direct one-to-one relationship with one another, providing a perfect geometric reflection of the 4 opposite 4, in the nature of the letters for the two primary abbreviations of the Name, the 4 letters of the Tetragrammaton opposite the 4 letters in the Havaya of Adnoot.

Its easy to count these two types of elements at the two-dimensional level. Its not so easy at the three-dimensional level. If you create a computer model in three-dimensions (which is pictured above) and then break it down and count the total number of each type of element, you will get the results shown below. There may be a formula for doing this, but a one-dimensional mathematic expression somehow detracts from the beauty that can be seen in this “aspect” of the cosmic blueprint (luchot) and would lose the very clear connection that God’s “plan” has to the history of Israel (in the mishmash of what would otherwise be meaningless numbers).

As it turns out, the sum total of the numbers, sets of numbers and the ratio between sets, is actually quite astonishing. Each side is defined by “three 7s,” (each border is defined by seven points/lines) and there are of course 4 sides. This is just like the 4 instances in the story of Yoseph, where three 7s are mentioned. These numbers are external to the matrix and “revealed” (nigleh) in the story. Its internal (mathematic) characteristics however are hidden beneath the surface and that’s where it gets interesting.

The total number of small tetrahedrons is 84 (the age of Yaacov when he married 4 young women). Each of the 3 borders is defined by 21 points of intersection (21) on 4 faces, again 84. The geometry mirrors the narrative.


In addition, the total of the external and internal number of “small tetrahedrons” in the matrix is the same as the pattern of numbers that define its edges (4 sets of three 7s). They are the same as the “numbers” that define the “story” or the events that actually happened. But surely that must be a coincidence? Lets see if we can find a second witness.

The sum total of the octahedrons (the counterpart of the small tetrahedrons) in this tetrahedral matrix, is 56.  When this number is factored by 4, the number of letters in the Havaya of Adnoot (which is the counterpart of the 4 letters of the Tetragrammaton mentioned in the preceding paragraph) the result is 4 x 14. The 14 is of course a pair of 7s, so the 4pair” of 7s that are seen in the number of octahedrons, are just like the numbers that follow the three 7s in the actual story, which are two times two pairs of 7s. In other words, the twenty-eight 7s in the parashah, that amount to a one-dimensional expression for (or define) a tetrahedral matrix of seven, externally (in the 4 instances of three 7s) are also found mathematically hidden, internally, within the same matrix. That “coincidence” should stagger the imagination, and the questions we should be asking ourselves are: what does all of this mean and who could design a blueprint with such detail, and play with the engineering of history, so as to “define” the events in the letters and the words of Torah? There is really only one answer. It took a Master Mathematician and Designer, capable of transcending the normal limitations of time and space, to bring about the events in question, all in accordance with the mathematic specifications of the blueprint (or combined cubic form of the sapphire luchot). Think about this for a moment.

In addition to the above, there are 7 "levels" in
a tetrahedral matrix of 7, that are like 7 thousand years or 7 millennia. The total number of all the elements (tetrahedrons and octahedrons) in the first 6 levels, as in the 6 millennia (before the millennial shabbat) is 91. The number 91 is the sum of the gematria of the 4 letters of the Tetragrammaton (26) and the gematria of the 4 letters of Adnoot (65) alluding to the unification (and sanctification) of God’s Name that will occur at the end of the 6th millennium, by which time everyone will know God’s real Name and understand the significance of its letters (and right now you should be thinking about the 4 male-female forces in quantum mechanics, and the male-female “directions” for the 4 dimensions of space-time which are both very real reflections of the letters of these two abbreviations).

If you sit back and contemplate the implications of everything that has been said so far, even for a moment, you will realize how important the nation of Israel and the Jewish people are to God’s plan. The history of the Jewish people provides the brightest reflection of this process, because it is the most central part. Nothing has changed. As a friend once said, God does not make mistakes and there is no need for "Plan B” in the cosmic scheme of things. The plan is the same as it has always been (past, present and future) and it is still in full force and effect.

The truth is that God has a plan for everyone, not just the Jewish people. It's just that the further you get from the source, the less visible the connection. All the more reason for each and every person to determine what role they play in that plan, and make absolutely sure that they are acting in accordance with God’s will (and not merely doing something absurd because some cleric demands it). Those who seek to delegitimize Israel, for example, or God forbid, wipe it from the face of the earth entirely, as heard in the rhetoric coming from more than one nation at this particular moment in time, simply do not understand the dire consequences they face, for attempting to do so. 


Trying to abrogate God’s promise(s) to Israel is foolhardy. One way or the other, such actions will eventually come back to haunt those would would try, or at the very least embarrass them or destroy them altogether. Whether their life is effected by one calamity or another, depends only on the degree to which an individual or a nation is determined to destroy Israel (measure for measure). The sophisticated nature of the blueprint (that is itself an extension of the letters in God’s Name as demonstrated in this case by the events surrounding Yoseph’s sojourn in Egypt) should serve as a warning to even the most simple-minded person, that such attempts are futile. The end result always boomerangs on those who have the audacity to think they can thwart God's plan. Such “logic” and the inevitable actions that result, are the absolute pinnacle of arrogance and stupidity. 
______


Sunday, December 15, 2019

VaYeshev

There are numerous mathematic allusions to the Triad Havayah of 72 in Parashah VaYeshev. We will examine each in great detail, but for purpose of introduction they are found in the character of certain events. One such event is the date on which Yaacov “assign[s] to Yoseph [the royal garment];” another is when Yoseph says “...the sun, moon and the 11 stars prostrated themselves to me;” and yet again when Yehuda’s friend the Adullamite is told “She [Tamar] was in [a place called] Two Wells...” We see the same allusion “...when it came time for her to give birth [and] twins were in her womb.” We'll examine others as well. However, the circumstances involving each of these references is a mathematic mirror image for the measure of the primordial torah (luchot/blueprint) and as such, finds its origin in the letters of the Explicit Name.

The above statements will make little sense to the reader who is unfamiliar with the Name and its abbreviated forms, or the properties of the luchot. If you are new to this blog, it is important to read the essential constructs listed in the column to the right before proceeding. These constructs explain some of the basic connections between the letters of God's Explicit Name and the multidimensional mathematic and geometric characteristics of the luchot (tablets of the covenant) both in the divided state and combined cubic form, along with the internal geometry that casts a shadow known as a magen david. There is a special connection between the Name, the luchot and the geometry of the magen. The purpose of this blog is to show how they connect with one another and to reveal where the Signature of the Architect is hidden, not only in each week’s parashah, but the physics of time and space, quantum mechanics and celestial dynamics to name a few.

The earlier reference to twins in the first paragraph is, by the way, linguistically identical to the reference in Parashah Toldot, except there, it was Rivka who was about to give birth and the twins were Yaacov and Esav. Here, Tamar is about to give birth, and the twins are Peretz and Zerach. We’ll come back to these twins and the unusual nature of the text that allude to the luchot in a moment, but first a refresher on the mathematic allusion to God's Name in the birth of the previous twins.
 

Those twins were Yaacov and Esav who were born in the 108th year of the third millennium (2108). The 2 men were born in the 108th year like the volumetric measure of the shnei (two) luchot (2 x 108 cubic handbreadths). The timing involved in the event is a reflection of a larger reality originating in the letters of God’s Name (216). Some times the reflections are extremely intense. This parashah is a prime example, as the events (pertaining to Yoseph) takes place exactly 108 years later, when Yaacov reaches the age of 108. So multiple moments in time converge in this parashah, giving it great significance. It was also the proper moment in time for the mantle of kingship to be passed from father to son, as it was before the flood (a tradition explained in the post on Bereishit and Noach) and so the amount of time involved, and the date on which the events occurred, all correlate with the measure of the luchot, and the number of letters in the Explicit Name. The date of birth for Yaacov and Esav was an “echo” of an earlier reflection that took place with Cain and Hevel: another set of twins who were born in the 108th year, but of the first millennium (think of these events as "twins" being brought down twice). In this case it is the timeline for the history of mankind (an aspect of the 4th dimension) that reflects the mathematic characteristics of the luchot (twins brought down twice) that are, again, a reflection of the letters in Hashem Hameforash. So when Yaacov reaches the age of 108 he must “assign to Yoseph [the royal garment];” This garment (coat) is given to Yoseph in - wait for it - the 216th year of that millennium. The numbers, besides their obvious connection to the luchot (twins) reflect with total clarity the mathematic characteristics of God’s Name, but the significance is completely lost on the casual observer.

It must be emphasized, at this point, that these dates are not just someone’s imagination. They are part of recorded history, found within secular sources as well as religious sources (Torah / Berosus / Chaldean). The numbers invariably reflect, with perfect clarity, the Signature of the Architect whose Name is etched upon the events that have transpired throughout history. The events reflect the mathematic and geometric nature of the plan, which in turn reflect the mathematic and geometric characteristics of the letters in the Name of the Creator.Its just that the signature geometry is so well hidden beneath the surface, that man goes about his daily business without ever realizing Who is orchestrating the events that shape his reality.

The number of events having their origin in the measure of the primordial torah (both the combined cubic form and its divided state as the luchot) is overwhelming, but all go unnoticed by the average student who is unfamiliar with the primal nature of the blueprint, or the letters of the Explicit Name that define it. Those who wish to overcome the severe limitations placed on human consciousness, should carefully contemplate each of these events in terms of their connection to the Name and the measured geometry luchot.

The parashah continues, and sandwiched between the selling of Yoseph and his descent into Egypt is the story of Yehuda and Tamar. This involves a second set of twins (those first mentioned above). This set of twins is connected to the first set by virtue of the unusual, but completely identical language used to describe them: “When it came time for her to give birth... twins were in her womb.” This is the exact same language mentioned in Toldot when Rivka was about to give birth. This time however, it was Tamar, and the twins were Peretz (who would be the forefather of David HaMelech) and Zerach. Just as it was with Rivka, these twins were in the womb throughout the entire period of gestation, not merely “when it came time for her to give birth,” and so the words once again allude to the Shechina (Holy Feminine) and to the giving of the twins (luchot) that would eventually be received by Israel. More specifically, the luchot were in their original combined cubic form (not yet “twins”) until the moment in time when they were divided and brought down by Moshe. Hence, "when it came time for Her to give birth" the "twins" were brought into the world. The circumstances of Peretz and Zerach's birth are described with the same words and phrases used to describe the previous twins (Yaacov and Esav) where the dates of birth and timing correlate directly with the mathematic nature of the luchot (2108, 2 x 108, 216) which in turn corresponds to the signature geometry of the One Who planned these events from the beginning.

Since Peretz and Zerach are a reflection of the “second set” of twins (the luchot that were received intact) the Torah says that “She [Tamar] was in [a place called] Two Wells...”  Water symbolizes Torah, and “Two Wells” is a remarkably accurate metaphor for the luchot (or twins) from which this “water” flows1. How many sets of twins (luchot) were brought down? Two sets! How many sets of twins (children) does the Torah describe (in these unusual words) as becoming "twins" when it came time for them to be born? Two sets! Each event has its source in the geometry which in turn has its source in the 216 letters of God’s Explicit Name. How many sets of twins were born in the 108th year of their respective millennium? Two sets! The first "set" of twins was Cain and Abel, and the second set of twins was Yaacov and Esav. Why two sets of twins in the 108th year of their respective millennium? Because the events are a reflection of a larger reality that is rooted in the form and substance of the cosmic blueprint (luchot) which is defined by the letters of God's Name. That is why we continue to see these reflections at so many levels. In VaYetze, for example, Yaacov saw a group of angels and named the place “Twin Camps.” Why? Same reason. It's the same reflection of the same source. In this parashah, we see the same reflection in a slightly different form. The name of the place where Yehuda and Tamar meet: “Two Wells.”

As God’s plan continues to unfold, the narrative returns to the story of Yoseph and it says (35:9) “...the sun, moon and the 11 stars prostrated themselves to me.” The dream was interpreted to mean that Yoseph’s mother and father, as well as his 11 brothers would bow down to Yoseph (Yoseph being the 12th son/brother). But the dream suggests something else. The metaphors that are part of this dream language bear a remarkable similarity to the geometry involved in the merging of two tetrahedrons and the resulting star tetrahedron (or three-dimensional magen david). The 2 "parents" are male and female opposites of one another. Just as the moon reflects the light of the sun, the female tetrahedron is a mirror image of the male. When they are merged (married) together they give birth to 24 faces (in the form of equilateral triangles) with 12 facing in one direction and 12 in the other. When the 12 triangular faces are merged together with their 12 counterparts, they create 12 “stars,” each being a magen david (the 12 sons of Yaacov). This is like the 12 Letter (abbreviation of the) Explicit Name (or Tri-Tetra-Grammaton) and its counterpart and combination. For more information on the 12 opposite 12 nature of the Name, see the post on Ki Thavo and also last week’s post on VaYishlach.

Count the Number of Triangular Faces on each Tetrahedron
(12 on One Opposite 12 on the Other)

The Marriage of 12 triangles to their 12 Opposites
Results in 12 Stars (12 Two-Dimensional Magen Davids)



In this week’s parashah, Yoseph has a dream, and his brothers are likened to stars. How many? Together with the parents, the 11 stars bow down (to the 12th star) Yoseph. How do we know that Yoseph is a “star” like his brothers? In the first dream (which was the counterpart of the second dream) his brother's are “sheaves” that prostrate themselves to Yoseph who is also likened to a “sheaf,” and thus there were 12 sheaves. The metaphor is the same. On one level God was speaking to Yoseph’s family who would supposedly  prostrate themselves to Yoseph when he became viceroy of Egypt. However, the symbolic language of the geometry suggests that through his descent into Egypt and subsequent rise to power, Yoseph would sanctify God’s Name, just as the unification of the geometry involving the two-dimensional faces on the three-dimensional male and female halves of the tetrahedrons result in 12 two-dimensional stars (magen davids).

There is a "mathematic" witness to that affect, in that the triplets (3 letter groups in the Triad Name) have a direct relationship to each of the 6 points with 3 corners on the 12 stars (6 x 3 x 12 = 216 corners) further alluding to "the unification of the Holy One Blessed be He," whose Explicit Name consists of 216 letters, the unification/sanctification of which, were to be a part of the process in the events that were about to transpire in Egypt.  

12 Stars (12 Sons of Yaacov)
 

12 Stars Have 72 Triangular Points
72 Triangular Points = 216 Points
216 Points in the Geometry are a Reflection of the 216 Letters in the Name
(the 216 letters of the Name that defines reality in the world below)

As a side note, it is difficult to ignore the similarities between the account of Yoseph and his masters wife, and that of Yehuda and Tamar. Yehuda is trapped by his garments who are held by Tamar until she can use them to identify him. The same is true of Potiphar’s wife who held onto Yoseph’s garment, so that she could use it to later identify him. One is a time-differentiated reflection of the other. In a sense, we are all identified by our garments, which are our actions. We either use our talents to sanctify God’s Name, as in "for the sake of the unification of the Holy One, Blessed be He,” or God forbid, we waste them on useless endeavors. In the end of days Israel's "garments" will be used to identify God's people and the nations will recognize who they have persecuted and oppressed down through the ages. The “star” (or magen david) representing Israel, is much like Yoseph and the royal garment. The garment is covered in blood and Yoseph is deemed a slave, but later he is raised up. The same is true for the nation of Israel.

Of course, the letters of God’s Explicit Name can be found mathematically and geometrically in other places of this week’s parashah as well. For example, there are 3 types of items that are in the caravan that brings Yoseph down to Egypt. The 3 things are: 

1) Spices,
2) Oils (Balsam) and
3) Flowers (Lotus). 


Yehudah (the instigator who brought this about) had 3 children from his wife Aylith, daughter of Shua:

1) Er,
2) Onan, and
3) Shelah.  


Tamar receives from Yehudah 3 things as collateral:

1) Signet ring,
2) Cloak, and
3) Staff.


In the dreams of Pharaoh’s chamberlains there are 3 grapevine tendrils and 3 wicker baskets filled with delicacies. The interpretation of both is that in 3 days “Pharaoh will remember you,” and indeed he does.

When all is said and done, there are 6 specific “instances” of 3 “things” and these numbers and sets of numbers (which should sound very familiar) are all a reflection of the size, shape and ratio of the luchot which was in the measure of 6 handbreadths in each of its 3 dimensions). The volumetric measure was thus 216 cubic handbreadths that once again equate to the 216 letters of God’s Explicit Name. These numbers not only reflect the letters of the Name and the dimensions/measure of the combined cubic form of the luchot, but they also define the characteristics of the star tetrahedron (three-dimensional magen david) that has 3 triangular (3) corners on 3 small faces, opposite 3 triangular (3) corners on 3 small faces within any given two-dimensional component.

In addition to these reflections, a cube (of three dimensions) can be divided in half, like the combined cubic form of the luchot that were divided and brought down by Moshe. That division however, occurred in only one of its three dimensions. When each of the remaining dimensions is divided in half, the resulting geometry consists of 8 smaller cubes, any 4 of which stand opposite the other 4, like the 4 letters of the Tetragrammaton that stand opposite the 4 letters of Adnoot. The measure of each of the 4 opposite 4 “halves” (of any given dimension) is 3 x 3 x 3 for each dimension, as pictured below. The six 3s, combine to form the total dimensions of the luchot. The bottom line is that, just as the combined cubic form of the luchot can be expressed as 6 x 6 x 6 (three 6s) which equals 216 cubic handbreadths, 3 x 3 x 3 x 3 x 3 x 3 (six 3s) equates to the same thing (216) and the various “halves” of each dimension correlate to the 4 letters, opposite 4 letters of the abbreviations. The odds of all this being a coincidence are in excess of a billion to one.

Click to Enlarge
 


The center point in the diagram to the left is exactly like the point at which one stands when waving the four species, an act that establishes 216 specific X, Y, and Z coordinates within a three-dimensional space, as elaborated upon in the post on the Four Species and the 216 Letters of the Name where this particular mitzva not only serves the purpose of acknowledging the Explicit Name, but serves to place the person observing the mitzva in the middle of that "space."

There are other numbers and sets of numbers in this week’s parashah that represent the mathematic characteristics of the two luchot and the fact that they were brought down twice.
 

Yoseph has two dreams, one of wheat and the other of stars. The implications upset his brothers so much, they decide to sell him. The total received from that sale was 5 silver shekels, but this had to be divided among the 10 brothers involved (so each brother received half a silver shekel) or what amounts to 5 pairs (or 10 halves of the 5). This is a primal pattern established by the cosmic blueprint as seen in:

  1. The 10 commandments on the 2 tablets they would receive (5 opposite 5).
  2. The sephirot that descend in a single column. They are unable to hold the light of the Ein Sof (at that moment in time) and so they shatter. As the process of creation moves forward in time, the sephirot are divided into their respective counterparts and descend again (Sefer Yetzirah: 5 opposite 5). This time they are capable of holding/containing the light. Just so, when the brothers are united in their desire to harm Yoseph their souls must be refined through the trials and tribulations in Egypt, before they are ready to transmit the light of Torah to the nations.
  3. At the time of the flood. the waters rose for 5 months then diminished for 5 months (5 opposite 5)
  4. The covering over the tabernacle had 5 tapestries sewn together at one end that were hooked to (married with) 5 tapestries at the other end (5 opposite 5).
  5. There were 5 events on the 9th of Av, and 5 more on the 17th of Tamuz (5 opposite 5).
  6. Yoseph had 10 years subtracted from his life because of the 5 things spoken against his father that he did not rebute. Where were the other 5? They were spoken by the translator and thus the statements were 5 opposite 5. 

All of these patterns (events) are a reflection of a larger reality, the template for which is found in the combined cubic form of the luchot which has 5 internal mathematic constructs with 5 polar opposites (5 opposite 5) also referred to as 5 "duals."

The entire physical universe must "comply" with the specifications in the luchot, so we see 5 string theories that are reconciled mathematically by what is called dual resonance. 

Here, at this point in the parashah, we see this same reflection in the 5 silver shekels that were divided in half, where each of the 10 “brothers” shared in the responsibility for what happened to Yoseph. As always, the reflection is a result of the “specifications” that are built into the blueprint at the primal level. It is the nature of the luchot (as a reflection of the letters in God’s Name) that specifies the measure for rectification in terms of the 5 opposite 5 that mathematically characterize its internal geometry in combined cubic form, where we find the 5 mathematic constructs and their 5 polar opposites. These hidden aspects are physically mirrored by (and externally found in) the 5 commandments on one, opposite the 5 commandments on the other, and in the events below, experienced by those undergoing tikkun. The same reflection appears repeatedly.

It can be seen again, in even greater detail, when the brothers each buy a “pair” of shoes with the money they acquired from the sale of Yoseph, an item that has a distinct set of polar opposites (left-right shoes / male-female). In this case, there are 10 “pair,” like the 10 blessings they received (as descendants of Avraham, Yitzak and Yaacov) that would be dependent on the 10 commandments they would eventually receive, when the luchot are brought down by Moshe. Why 10? The luchot were brought down twice. This is why the 5 silver shekels in halves (10 half silver shekels) was in the form 20 “pieces” of silver (2 for each brother) or 10 “pair.” The luchot were brought down twice and so the composite form finds the (5 opposite 5) or the (10) of one, opposite the (5 opposite 5) or (10) of the other. The events are a reflection of the mathematic and geometric nature of the blueprint/luchot to which the brothers were bound. 

Click to Enlarge 



Everything in the universe conforms to the specifications in the cosmic blueprint (luchot). Thus the physical form of man is the same. He has 10 fingers (with which to engage in mitzvot - or not) that are 5 opposite 5 ( 5 fingers on one hand and 5 on the other) but he also has 10 toes (with which to run and do good - or not) that are also 5 opposite 5 ( 5 toes on one foot and 5 on the other). The 10 “pair” of shoes that covered the 10 toes (of those who wore them) conceal the inclination of the soul that is hidden within the physical body, whose 10 blessings are judged on the basis of 10 commandments. Each is a reflection of a larger reality, where the specifications of proper conduct originate.

And so Tamar (and Rivka) both had twins in their respective time, like the luchot (blueprint) that were brought down as opposing twins, twice. Each “twin” (tablet) was 5 opposite 5, internally, in terms of the mathematic constructs associated with their combined cubic form 5 opposite 5 (10) and externally, in terms of the 10 commandments also 5 opposite 5 (10) on the 2 tablets. Since there were two sets, there were 10 in the first set opposite 10 in the second. The first were withheld, the second were given (hidden/revealed). The events below again reflect the nature of a larger reality.

Click to Enlarge


Several Patterns Repeatedly Emerge from the Cosmic Blueprint

Volumetric Measure:
108  108       108  108
 216              216
432

Nature of Internal Constructs:

5  5      5  5
10       10
 20

(see the post on the Primordial Torah)

These patterns are also repeatedly found in the linguistic structure of the text in the written Torah. Another reflection of the “twins,” that were brought down “twice,” is in the events involving Potiphar. Yoseph starts in a very low position, but rises to a position of prominence in the house of Potiphar. His “master” (Potiphar) does nothing (half of the primal equation) because Yoseph takes care of everything (the other half of the primal equation). Then after the incident involving Potiphar’s wife Zelichah, Yoseph is thrown in prison and the same thing happens all over again. He starts in a very low position (among the prisoners) but soon rises to a position of prominence. His “master” (this time the warden) does nothing (half of the primal equation) because Yoseph takes care of everything (the other half of the primal equation). Each half (in the twin nature of the events) happens twice. The two are a mirror image of one another, which are in turn are a mirror image of their counterpart, the geometry of the luchot or blueprint from which the plan emanates, and the larger reality to which we refer.

Then two of Pharaoh’s chamberlains are sent to prison and they each have a dream (two dreams). Each dream is an opposing reflection of the other half (male-female). That is, one is ultimately about life, the other about death (polar opposite concepts). Yoseph then interprets the two dreams of the two stewards, and so we again see a reflection of “the twins” that make an appearance twice. In other words, the two dreams are recounted by the two stewards, and then the two dreams of the two stewards are interpreted. This is also like the 4 letters of the Tetragrammaton (in male-female form representing “half” of the abbreviation) and the 4 letters of  Adnoot (in male-female form, for the other “half” of the abbreviation). We say: “for the sake of the unification of the Holy One blessed be He, and His presence, in fear and love and love and fear, to unify the Name Yud-Key [2 letters] with Vav Key [2 letters] in the Name of Kol Yisrael,” in reference to this half of the combined form which is 4 opposite 4. If you really want to know God's Name, then contemplate this for a moment before proceeding.

A multitude of events in this parashah reflect the duality of creation that is seen in the geometry of the luchot. What about the triad form of the Name as seen in the tetrahedral geometry, hidden internally within the cubic form? We've already discussed some of this above. There were 3 grapevine “tendrils” and 3 wicker baskets of delicacies in both dreams of Pharaoh’s chamberlains. This is like the 3 small triangular (3 cornered) faces on any given two-dimensional face of a tetrahedron after it is married to its polar opposite that creates a magen david. There are 72 of these triangular corners (in the three-dimensional version of the magen david) that correspond to the triad nature of the Explicit Name with 216 letters. 

Click to Enlarge


The events continue and Yoseph interprets the dreams as follows: To the butler he said: “...in 3 days time, Pharaoh will reinstate you to royal service,” and so Yoseph asked him to mention his plight to Pharaoh in the hope of being released from prison. However, to the baker Yoseph said: “...in 3 days time Pharaoh will have you hanged.” Indeed, it was so. After 3 days, the butler was reinstated but the baker was hanged. The first 3 correspond to life and the second 3 to death, the two ultimate polar opposites found in the opposing halves of the internal geometry of the blueprint.

Since the baker was hanged, the top “triangle” in the blueprint no longer exists (or remains to be fulfilled in some other fashion). The magen (or geometric reflection of the letters in the Name) is incomplete without the other half, and so the butler forgot to mention Yoseph’s plight to Pharaoh. Yoseph thus remains in prison for another two years, until Pharaoh himself has two dreams and the reflection of the Name repeats itself with a different ending (with both halves now present). Are these geometric reflections starting to sound familiar? The pattern of the events correlates with the pattern in the blueprint (luchot) which in turn correlates with the letters of the Triad Havaya of 72. Each subsequent reflection is one step removed from the previous reflection, all of which emanate from the letters of the Name.

There is yet another ‘two’ in this parashah that hints to the luchot. The two chamberlains with two dreams that we spoke about earlier, are like the two luchot brought down twice, in that one (the baker) was destroyed, while the other (the steward) was put to work by the “king.” This is a mirror image of the luchot. The first set was destroyed while the second set remained intact.

Since the “shadow” of the above magen was “broken” in the death of the baker (only half was present) there was no magen (shield) and thus Yoseph was forgotten until Pharaoh has his dream (in a subsequent parashah as the story unfolds). The broken shadow also hints to a time in the future, when the (first set) of luchot would be broken, but the second would survive to eventually “save” Yoseph, who would, until then, have to remain in prison for another 2 years, at which point he would stand before Pharoah and be appointed viceroy. This is like the destruction of Israel and the Temple (at the hands of the Romans). It would be 2 days (2 thousand years) before Israel would be raised up (and again become a nation) to become the viceroy of the King (God). The events are all bound to the mathematic nature of the blueprint (2 luchot) which in combination measure 216, corresponding to the number of letters in the Explicit Name.

One other thing of note: We mentioned above that Yoseph was sold for 20 pieces of silver, but this was only what his brothers received for selling him. The full story is a bit more complicated, but nevertheless adheres to the primal properties of the luchot. Originally, the brothers wanted to kill Yoseph but threw him into a pit instead (because Reuven insisted they not murder him). The brothers distanced themselves from Yoseph’s cries and sat down for a meal, but then noticed an Ishmaelite caravan in the distance and this gave them the idea to sell him (Divine Providence). Meanwhile, Midianites happened upon the pit and helped Yoseph to get out. It was these Midianites who bought Yoseph from the brothers for 20 pieces of silver (the transaction mentioned above). After the transaction was complete, they realized Yoseph was too good looking to be a slave, and they also figured out who his brothers were, but it was too late. So they decided to divest themselves of a potential liability. When they reach the Ishmaelite caravan headed for Egypt, they strike a deal to sell Yoseph (again) for what they themselves received, which was 20 pieces of silver. However, after certain incidents happen along the way, the Ishmaelite’s decide that it is also in their best interest to rid themselves of this “slave,” and so when they happen upon 4 Medanim traders coming from Egypt, they sell Yoseph (yet again) for 20 pieces of silver. The Medanim knew that Potiphar was looking for good slaves and so they turn around and head back to Egypt to make a quick sale. Once Potiphar confirms they bought Yoseph from the Ishmaelites (rather than kidnapping him from some nobleman) Potiphar agrees to buy him for, you guessed it, 20 pieces of silver. Thus Yoseph was sold 4 times and for a total of 80 pieces of silver (20 pieces, then 20 pieces, then 20 pieces, then 20 pieces).

This is a mathematic multiple of the letters and specifically the marriage between the letters that are 2 letters, then 2 letters then 2 letters then 2 letters, each pair married together as explained in the post by that name (yud with aleph; heh with dalet; vav with nun; and heh with yud). The events mirror the larger reality.

These 4 “sales” are like the 4 exiles that Israel would have to endure. In each case, 20 pieces of silver are involved, and the amount equates to what would eventually be 5 silver shekels. The “price” of redemption (for a Jewish soul) was thus set by heavenly accord at 5 silver shekels (established by the brothers at the time of sale) which was repeated 4 times, as set forth in (found in the mathematic nature of) the blueprint. This is like the 5 commandments on each of the 4 tablets.

Click to Enlarge
 

We see once again, that all of the events have their origin in the mathematic and geometric properties of the luchot, which is the blueprint for God’s plan, and that all of these properties are ultimately a reflection of the letters in the Explicit Name (or its abbreviations as they relate to one another). The interconnected nature of reality allows for the plan (events/history) to flow from the source above, as time moves forward.


(Special thanks go to Yisrael for pointing out the connection to the shoes and toes)

____________
Footnote 1 – On a deeper level, the 2 wells are the Written Torah and Oral Law, 2 halves of a whole (like the luchot) that cannot be separated.