Sunday, November 12, 2017


In Parashah Toldot, we find the unique mathematic and geometric Signature of the Explicit Name hidden in the concept that is embedded in the phrase: "When it came time to give birth ...twins were in her womb." This is an allusion to the primordial twins, in essence the dual nature of a mathematic system on which the universe is based, a cosmic 'blueprint' defined by the letters of the Creator's Name.  

Before offering a more detailed explanation, those who are new to this blog should read each of the essential constructs listed in the column to the right before proceeding. These pages reveal some of the basic mathematic connections between the letters of God's Explicit Name and the multidimensional geometric characteristics of the luchot, 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, and together they form a unique signature. We refer to this geometry and its mathematic common denominator as the Signature of the Architect. The purpose of this blog is to show how all of these things connect, and to reveal where the signature geometry is hidden, not only in each week’s parashah, but also such things as quantum mechanics, the physics of time and space, celestial dynamics, biology, chemistry (etc). Once you are familiar with these constructs you can more fully appreciate each post.

The subject of Toldot deals with, among other things, the pregnancy of Rivka and the twins in her womb (Ya'acov and Esav). These "twins" were of course in her womb throughout the entire gestation period, not merely "when it came time for her to give birth." The unusual wording of the text alludes to a much larger reality, one which is very significant. In this case it alludes to the Shechina and the division of the primordial torah or combined cubic form of the luchot. Thus, "when it came time to give birth" (to the creation of the universe) duality was established. This primal event is later mirrored in the literal "bringing down" (by Moshe) of the "foundation stone (luchot) as "twins" when the sapphire block under the throne was divided. The luchot were not twins until that moment in time. Hence, only "when it came time to give birth," were there "twins... in 'her' womb."

There are three prominent witnesses to that effect. 

1) The measure of the luchot that were divided (geometric twins) at the time of birth (when it was given) were 6 x 6 x 3 handbreadths and so the volumetric measure of each "twin" was 108. The two were thus: 108 + 108 (or 216 cubic handbreadths). There are 216 letters in God's Explicit Name.

The specifications within the cosmic blueprint (luchot) that are "defined" by the letters of God's Name, cast their shadow in the world below and...

2) Those specifications manifest themselves as twins born to Rivka. Yaacov and Esav were both born in the 108th year of the 3rd millennium: 2 sons, 108 years = 216, and...

3) The millennium (and the year within the millennium) also reflect this geometry in that they are also the same as the twins. The year was 2108.
The mathematic and geometric specifications in the cosmic blueprint/luchot (as they apply to
the foundations of the world) are very precise and so the signature geometry is deeply embedded in the event. The closer the source, the brighter the reflection.

Of course, these are not the only allusions to God's Explicit Name found in this week's parashah. In fact it is hidden in 3 additional forms: 4 opposite 4; 5 opposite 5; and 3 x 72 (216). These forms are all interconnected.

The triad form, or 3 x 72 will be examined first. In this parashah, we see one of the rare instances where three-word verses occur in Torah, specifically in 26:7. While it may seem coincidental, this is actually a reflection of the triad nature of the Name. That reflection takes form in the geometry of
3s within 3s as found in the magen david. So when Yitzhak moves from Gerar, he digs 3 wells (we'll go into more detail in the paragraphs ahead). This is simply another part of the same reflection. These instances of the number three conform to the geometry of a star tetrahedron or three-dimensional magen david, that ultimately has 72 triangular corners (or 216 geometric components) that in turn correspond to the volumetric measure of the luchot and the number of letters in God’s Explicit Name.

The second form we will examine is the nature of the opposing 4s corresponding to the letters of the Tetragrammaton and the Havayah of Adnoot (4 opposite 4). You will recall from various posts that a star tetrahedron consists of two opposing tetrahedrons, each having 4 points (opposite the 4 points on the other) and 4 faces (opposite the 4 faces on the other). These opposing sets of four are geometric reflections corresponding to the nature of the two primary abbreviations of God’s Name. In this parashah, the reflection in the world below is found in the 4 blessings that Esav receives from Yitzhak, after Yaacov takes what is rightfully his (essentially all the blessings) after purchasing the birthright. This is opposite the 4 that God promises Yitzhak because He will bless him with the blessing of Avraham. These are found in the 4 categories of ordinances that Avraham kept, that are alluded to in the text as: 1) God’s Safeguards; 2) Commandments; 3) Decrees; and 4) Laws. So we see the nature of the letters in the abbreviations of 4 opposite 4 in the characteristics of the events that have their counterpart in the geometry of the magen david (tetrahedrons) with 72 triangular components reflecting, again, the nature of God’s Explicit Name of 216 letters.

Also, in this week’s parashah, 2 people get married at the age of 40: Yitzhak and Esav. Yitzchak and Esav were the epitome of opposites: “the righteous man1 and the evil twin.” In this case we see the Signature of the Architect in their ages at 40 opposite 40, or 4 (tens) opposite 4 (tens). These opposites are again geometric reflections of their origin in the primordial torah, that is the 4 opposite 4 in the magen david (of three-dimensions) where the marriage of two tetrahedrons create 10 smaller polyhedrons. The 4 opposite 4 that become these 10, are built into the geometry that is associated with the Explicit Name and its Abbreviations and so we see it in the events as well.

This is in fact why we see so many opposing 4s and opposing 5s in Torah and why pairs of 4s are often connected to 10. The 10 are like the 10 Commandments that were inscribed on the luchot. In this case, the 4 and the 10 are really reflections of the same thing, the luchot and the Name. The external dimensions of the combined cubic form of the luchot dimension were 6 x 6 x 6 = 216 handbreadths, again the number of letters in God’s Explicit Name. The internal “dimensions” were the 5 mathematic constructs (with 5 polar opposites) that were revealed (manifested externally) when they were brought down as the 10 commandments on 2 tablets. The allusions to the nature of God’s Name and its abbreviations are always hidden beneath the surface. For example, in this week’s parashah we again see incidents involving wells.

You may remember that in Parashah VaYera, Avraham dug wells, like the famous large well whose ownership was disputed by the Philistines that resulted in the treaty made with Avimelech, and where the place became Be’er Sheva.

The Philistines never forgot Avraham’s new-found fortune and so when Avraham died in the year 2123, the Philistines (besides mourning the loss of a great person) went to the wells he had dug and filled them with dirt: “Hah!” thought the Philistines, “ we’ve cut off your wealth.” It was a foolish move on their part however, because within a year of Avraham’s death, God sent a famine to the Land of Canaan. The effect was to show that the land itself was mourning the loss of this great man, but it actually had a double effect, because now when the Philistines desperately needed water, they had none. They’d filled in the wells!

Meanwhile, Yitzhak moves to Gerar and with the land, vineyards, and livestock that he was given, he becomes successful. In the year of famine, he reaps a hundredfold! This was too much for the Philistines to bear, so they kick him out of their city. That's why Yitzhak moves to the suburbs (the Valley of Gerar) and there he re-digs the wells that the Philistines had filled in. The Philistines naturally quarrel with him over the wells. Yitzhak names the wells accordingly. Then he moves back to Be’er Sheva.

This is where we examine the Explicit Name, or what is commonly called the Triad Havayah of 72. Yitzhak dug a total of 3 wells in the Valley of Gerar and named them after the incidents that had occurred. The gematria of the names of these 3 wells is 1440. The number 144 reflects only a portion of the letters in the Triad Name, specifically 2 x 72 or 144 (tens). The remaining 72 are missing (from the 216) but we'll provide more on this in a moment. Notice also, that this number is 10 times the core number of 72, as we saw above in the 40 years opposite 40 years (also 10 times the core number). The significance of this multiple of 10 will be discussed in a moment. In order for these wells to reflect the nature of the Triad Name, we need to find the 72 (tens) that are missing. Remember this missing component because we’ll come back to it shortly.

In the meantime, Yitzhak still had one more well to dig. Remember that at this point he’d just moved back to Be’er Sheva where his men would re-dig the large well that Avraham previously excavated (in Parashah VaYera). This would be the 4th well.

When Yitzhak gets back to Be’er Sheva, king Avimelech decides to make amends. He comes to visit Yitzhak, along with General Pichol and a group of friends. There they renew the treaty that their fathers made in Parashah VaYera. Then Avimelech returns home, but the very same day they make the treaty, Yitzhak’s men inform him they’ve struck fresh water! Where? It was the well that Avraham excavated 51 years before. Yitzhak resurrects the previous name (Be’er Sheva) for the same reason. The day that Yitzhak made an oath with the Philistines was the day his men found water. So he called the well “Shiva,” meaning “Oath,” and it is called Be’er Sheva to this day. This completed the re-digging of the 4 wells that Avraham dug many years earlier. And so now, with the 4 wells that Avraham dug, and the 4 wells that Yitzhak re-dug, we have a complete reflection of the 4 pairs of letters in the abbreviations, and their “marriage” (see the marriage of the letters for details) in the events of the 2 patriarchs that occurred over time, as seen in the post on Maasey & Devarim.

We see a hint of the marriage between these letters in the famine when it first started. God appeared to Yitzhak and said “don’t go down to Egypt, rather stay in this Land, and I will be with you.” The Name used here is the Havayah of Ehyeh (the Name that results from the marriage of the Tetragrammaton and the Havayah of Adnoot, as shown in detail in the post on the marriage of the letters). God appeared to Yitzhak in this “form” because by staying in the Land of Canaan, Yitzhak would end up re-digging the 4 wells that his father had dug, and thus the combination of the 4 opposite 4 in the events, would become like the 4 of Eheyeh. This would complete the marriage of the four-letter abbreviations for the 216 letters. Until it was complete (until the well at Be’er Sheva was re-opened) the events are incomplete, and thus the first 3 wells have a gematria of only 1440 (2 x 72 “tens”) where the 3rd 72 is missing. These events started because of a famine, a word that happens to have a gematria of 272 which is identical to the factors in 2 x 72 for the gematria of the names of the 3 wells mentioned above (see the "additional notes" on
the significance of numeric sequences at the conclusion of this post). 

In this case, each is a reflection of the other, still missing 72. Keep in mind however, that the 4th well has not yet been re-dug.

 (Click to Enlarge)

This is slightly different from the 372 in VaYera where it was found (complete) in the gematria of the name “Be’er Sheva.” Here in Toldot, we have only 272 in the gematria for the first 3 wells. Just as 3 letters would be incomplete (missing the 4th letter) the 3 wells are incomplete (missing the 4th well). A “letter” of the Name is missing from the events until the re-digging of the 4th well came along to reconcile the difference (Be’er Sheva having a gematria of 372) at which point the gematria found in the events, would properly reflect all three components of the Triad form of the Name in the sequence of numbers of the gematria. Moreover, until that time (while it was only 272 and lacking the third component) there was a famine (lack) in the Land. 

To clarify: The digging of the 4 wells stand opposite the "filling in" of those 4 wells, like the 4 letters of the Tetragrammaton stand opposite the 4 letters of Adnoot. The 4 wells are then re-opened. Similarly, the letters of the Names combine, the result being the 4 letters of Ehyeh (as known). The gematria of the fourth well, Be’er Sheva, being 372 testifies to the signature geometry that "defines" the luchot, and every aspect of reality! Contemplate this. 

As for the 10 in the 144 (tens) mentioned previously (
2 x 72) the factor of 10 is an allusion to the 10 Commandments which (would be) inscribed on the shnei luchot, whose combined cubic volume was 3 x 72 or 216 handbreadths. At this point you should begin to see how these patterns connect with one another. 

In 27:28-29 Yitzhak gives 10 blessings to Yaacov2 however those blessings are just like the 10 commandments on which they would depend. That is, just as the commandments were 5 on one (tablet) opposite 5 on the other, the 10 blessings are also found in the form of 5 pairs (5 opposite 5).

The 10 Blessings were: May God grant you the...

1) Dew of the heavens; and the
2) Fatness of the Earth;

3) Abundant Grain; and
4) Abundant Wine;

5) Nations will serve you; and
6) Regimes will bow to you;

7) Be a lord to your kinsmen; and
8) Your mother’s sons will bow to you;

9) Cursed be those who curse you; and
10) Blessed be those who bless you.

Coincidence? Of course not. This is another reflection of the signature geometry in the cosmic blueprint; and its just beneath the surface of the narrative where it becomes invisible to the casual observer.

The 10 Blessings also correspond to each of the 10 Commandments:

1) May God give you the dew of the heavens; I am Hashem, your God, who dwells in the heavens.

2) You will get the fatness of the earth; honor your mother and your father, so that your days will be lengthened upon the land.

3) You will have abundant grain; therefore you have no need to covet your neighbor’s anything, for you will be wealthy and can purchase whatever you need.

4) You will have abundant wine; therefore you must be responsible not to get drunk and commit adultery.

5) Nations will serve you; therefore you must ensure that murder is not tolerated.

6) Regimes will bow to you; therefore you have no need of their gods, and as such you shall not recognize the gods of others.

7) Be a lord to your kinsman; and prevent them from devolving into kidnapping.

8) Your mother’s sons will bow to you; and as such, you should not bear false witness against them.

9) Cursed be those who curse you; therefore do not swear falsely, for by doing so, you tarnish your being and lose the right to have those who curse you be cursed.

10) Blessed be those who bless you; keep the Sabbath, for God blessed the Sabbath day and sanctified it.

The sophisticated nature of the text and the complex geometry of the blueprint/luchot to which it corresponds is essentially hidden. The Name that is associated with the 5 mathematic constructs of the combined cubic form of the luchot (216 cubic handbreadths) is all but invisible, even to those who have eyes capable of seeing the relationship between the blessings and the commandments hidden in the text.

Each of the “blessings” that Yitzhak gave Yaacov correspond to the one of the 10 Commandments that would be inscribed in the luchot that his descendants would receive. But the volumetric measure of the luchot would be 6 x 6 x 6 or 216 cubic handbreadths, hiding the Signature of the Architect with 216 letters in His Name. Everything is interconnected. The 10 blessings are dependent upon keeping the 10 commandments required by God, on whose Name (216) the existence of the physical universe depends.

One other thing of note: In the beginning of this week’s parashah, Esav sells the birthright to Yaacov. Esav’s reason for this was that he believed he would die quite soon and the birthright would be useless. Esav felt this way because he had killed Nimrod, and Esav was sure that his men would seek him out and execute him. But that wasn’t the case. Nimrod’s men brought the dead Nimrod back to Babylon and buried him there. His vast Empire was split into the diverse kingdoms of the land and the ‘house’ of Nimrod fell. Esav was never pursued. Nimrod died when he was 215 years old. Readers of this blog will note that the number is one less than 216. He fell short of God’s expectations, however this was not always the case. Once upon a time, Nimrod sacrificed game to God, and God was with him. However, once he became a leader among men, his power went to his head and he not only turned away from God, but he turned others away and violated every law of human decency in the process. With his tremendous influence, he had the opportunity to direct people toward God, but instead he used his influence to turn people away from God. Thus he died at the age of 215. A man may have merit in his early years, but if he turns from God in later years, that merit is lost. This should stand as a warning to anyone with power. Nimrod had great power and influence in the history of mankind, but he misused that power. As a result, the prophecy (in his dream) came true: a descendant of Avraham killed him and his empire crumbled.

In this parashah, we’ve seen several primal patterns that are characteristic of the letters in God’s Name and also its abbreviations. The signature geometry was found in events that were 4 opposite 4; 5 opposite 5; and 3 x 72 (216). We’ve also seen how the mathematic and geometric patterns in the events develop (or perfect themselves) over a period of time, until they are complete and ultimately mirror the geometry associated with the luchot and/or letters. The process (or history of mankind) is a very real reflection of the plan (luchot) which is in turn a reflection of the Name. However, it takes time to refine, rectify and perfect. Israel is central to this process. Those who bless Israel will be blessed. However, those who curse Israel will be cursed, like those who filled in the wells “to curse,” but then needed water themselves. The sooner the nations perceive the relationship between God’s plan and the nation of Israel, the sooner peace and prosperity will prevail.


Footnote 1 – Yitzhak can be contrasted with Yishmael. Both were sons of Avraham, yet Yitzhak was the one that received the Blessings of Avraham. Yaacov and Esav were sons of Yitzhak, but Yaacov got the blessings. That is 2 generations of 2 brothers, where one gets the blessings and one does not.

Footnote 2 – Notice the sequence of numbers in the chapter and verses. It shows expansion, or “blessing”, like we saw in last week’s Parashah.

Additional Notes 

The question might be asked: why would we see 272 as 2 x 72, or why would we see 372 as 3 x 72. A sequence of numbers can be as important as the mathematic relationship between the numbers in the sequence. The Fibonacci sequence is a good example: 1,2,3,5,8,13,21 etc. In the case of the Fibonacci sequence, most people fail to "see" the relationship between the numbers, but there is a relationship. If you look closely, you can see that each number is the sum of the previous 2 numbers so the sequence does have significance.  We might ask ourselves: why would we add numbers in the sequence or think that the result was significant? It is after all, just a sequence. The answer is that the "pattern" repeats itself over and over again, and that's why we can say that it is more than a coincidence. Of course the Fibonacci sequence was designed that way. That's essentially what we see happening in the Torah, although it's generally more subtle. It too was designed that way, by a master designer (the Master Designer). Flashback to the post on Parashah Va Yakhel, where 2 "opposing" walls (of the golden section or Holy of Holies) were 144 handbreadths (2 x 72). In other words one component (one 72) was missing, but then the 3rd (non-opposing) wall came along to reconcile the difference and 3 x 72 = 216. In this case we see the exact same numbers, sets of numbers etc. and even the missing number (where again the ratio corresponds to the triad nature of the Name). The patterns are identical.The odds that all these numbers and/or sequences of numbers in the gematria, as well as the events themselves, would factor as they do using the 72 of the Triad Name, is quite high. I would say astronomical. Here we see it in both the sequence of numbers and the gematria when factored according to the mathematic dynamics of the Name. It is simply one more example of how the Signature of the Architect is hidden just beneath the surface.

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