VaYetze

In Parashah VaYetze, there are mathematic allusions to God's Explicit Name in numerous places. Consider the phrase: “...complete the week with one and we will give you the other." 

To understand how this correlates with God's Name, flashback to last week's parashah (Toldot) where the signature geometry was embedded in the language of the phrase: "...when it came time for her to give birth, twins were in her womb." The subject of that parashah dealt with the pregnancy of Rivka and the twins, Yaacov and Esav. However, these "twins" were in her womb throughout the entire gestation period, not merely "when it came time for her to give birth,” alluding to the Shechina (Holy Feminine) and the luchot, or more specifically the twins that intrinsically reflect the unique Signature of the Architect.

This week, in VaYetze, we see the instant replay with the same Signature, only this time the twins are Leah and Rachail. Yaacov is told: “complete the week with one and we will give you the other.” God says to Yaacov (Israel) complete the week (observe the Shabbat ) and we will give you the other (luchot) that are each 6 x 6 x 3 (108) times 2. Just as Israel would later receive 'twins' (the shnei luchot) Yaacov here receives twins. Each event is a reflection of a larger reality where the signature geometry repeats itself as time moves forward in the physical universe.

We will provide additional details in a moment, however 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.

In Parashah VaYetze, there are additional allusions to the Explicit Name as well. Yehuda, for example, is born to Yaacov and his birth has special significance. Not only was he the father of the tribe of Judah, but his descendants would bear the royal line of kingship ("the sceptre shall not depart from Yehuda") that was passed down from the pre-flood kings as explained in the post on Bereishit and Noach. Yehuda is the father of the lasting jews and it would be from his descendants that Messiah would come. The term ‘Jew’ means “comes from the tribe of Judah.” Of all the tribes, this is the one that lasted throughout the ages and has returned to fulfill its role in the cosmic scheme of things as we approach 6,000 years of human history. This is not the place to go into why this has happened. It is sufficient to point out that Yehuda has been and will always be the father of the Jews.

It should therefore come as no surprise that his name and the circumstances surrounding his birth have great significance with regard to God’s Name(s). He was the 4th child of Yaacov, and father of the 4th tribe. Events or circumstances in the Torah that are characterized by the number 4 are almost invariably associated with more than one instance of the number 4, because each is a reflection of the Explicit Name and the nature of its abbreviated forms in the 4 letters of the Tetragrammaton; the 4 letters of its polar opposite in Adnoot, and their combination (marriage) that result in the 4 letters of Ehyeh.

This is the same “reflection” that was seen in the post on Parashah Ki Thetze, where the 4 strands of tzitzith were doubled over and become 4 opposite 4, on 4 corners of the garment. 

This reflection was seen again last week, in Parashah Toldot: 4 wells were dug by Avraham; the 4 wells were then filled in by the Philistines; but then the 4 wells return to their earlier state when they are re-dug by Yitzchak. 

The significance of these reflections is very lofty and requires contemplation. If you want to know God’s Name then take time (make the time) to comprehend this. If you want more information pertaining to this aspect of God’s Explicit Name and its abbreviated forms, then re-read the posts on Maasey & Devarim and Ki Thetze and specifically the Marriage of the Letters.

Here in this parashah, we see this same reflection again. Only this time, it is found in the name and the circumstances surrounding Yehuda who is the fourth son and father of the fourth tribe. Yehuda's name is also comprised of the four letters that spell the Tetragrammaton

In addition to the letters of the Tetragrammaton, it also has another letter, specifically a Daled (ד) which has a gematria of four. It's the fourth letter of Yehudah’s name as Yehuda is the fourth son. Coincidence? Not hardly—same reflection—a mathematic reflection arising from a basic mathematic imperative of the primordial torah (luchot) and its signature geometry!

In the cosmic scheme of things, the division of the letters in God’s Name (into their respective male and female counterparts) create and sustain a physical universe in male/female form. We see this “division” or polarization of (male-female) letters in both: 1) the Explicit Name with 216 letters, where the division is seen when the luchot are brought down and where each half has a volumetric measure of 108 cubic handbreadths, and where the word “half” (chetzei) has a gematria of 108; and 2) in the 4 letters of Ehyeh that 'divide' (male opposite female) into the 4 letters of the Tetragrammaton opposite the 4 letters of  Adnoot that are similarly divided/polarized into their respective male and female counterparts (recombined within human consciousness during the four bows). The blueprint mathematically reflects this imperative because it is necessary for maintaining space-time in a physical universe having male-female attributes (duality) and this is also why we see its reflection in the world below as the history of mankind unfolds.

With the division of the 216 letters of the Explicit Name into 108 opposite 108 (as seen in the luchot) and the division of the 4 (letters in Ehyeh) into the 4 opposite 4 of the Tetragrammaton and Adnoot, the underlying basis for a physical universe in male-female form is put in place, and so creation progresses accordingly, in male-female form. This can be seen in the male-female aspects of the luchot, where the combined cubic form consists of 5 internal mathematic constructs and 5 polar opposites (the duality of the 5). This is not only found in the ”physical nature” of the cosmic blueprint, but also the physical nature of the created universe, as found in the 5 string theories reconciled by dual resonance). 

Where do we see this reflection in this week’s parsahah? When the Daled is added to the Tetragrammaton to “create” the name of Yehuda, it moves the last letter of the Tetragrammaton, the letter Hey (ה) to the fifth position, where it becomes the 5th letter of his name. The letter Hey (ה)  has a gematria of 5. The nature of the blueprint (in the combined cubic form of the luchot) with its 5 internal mathematic constructs and their 5 opposites is essentially the mathematic by-product of the separation of the letters into their 4 male and 4 female counterparts. So we see in this parashah, not one, but two reflected forms of the Explicit Name and the luchot it defines in terms of 4 opposite 4 and 5 opposite 5.

What this means of course, is that Yehuda’s name (substance/essence) is very special. His name is literally the Tetragrammaton (one of the abbreviations) with the addition of the daled. So the shadow of the Creator’s Name of 216 letters is seen in the 4 letters of the abbreviation manifested in the physical person of Yehuda whose name consists of those letters, along with the 5th letter that alludes to the mathematic nature of the blueprint; the halacha that his descendants would observe; and the nature of the physical universe in which this observance would take place. Each is simply a time-dependent reflection of the creation equation.

The letter daled (with a gematria of 4) is equally revealing in that it is in the 4th position of this name, manifested in the 4th son. This is a direct reflection again, of: 1) the 4 letters in the Tetragrammaton; 2) the 4 letters of Adnoot and; 3) their “recombinant form” in the 4 letters of Ehyeh. This is why the last of these Names (the unified form: Ehyeh) is seen in verse 31:3 where God tells Yaacov to “...return to the Land of your fathers, … and I (Ehyeh) will be with you” (the return being in essence a unification of the Name). The reason the Jewish people are “married” to the land (and must return) is that our very existence is wrapped up in the unification of the letters in God’s Name (last week’s post explains why this Name is used in reference to the land). That’s why returning to the land is necessary to sanctify the Name. The 4 letters of the abbreviation(s) as they pertain to the land are then manifested in verse 28:14 where the 4 cardinal directions: north-south-east-west are then mentioned, their physical existence being “measured” by, and dependent upon this Name.

The three (four-letter abbreviations) of the Name are a reflection of the triad nature of the One Unique fully expanded Explicit Name that consists of 72 triplets. There are many reflections of these “triplets” in this week’s parashah. Each is a reflection of the Name. There are, for example: 

3 flocks of sheep waiting to be watered when Yaacov comes to the well in Charan.

3 days pass before Lavan is told Yaacov has fled.
   (After having separated the sheep that would be Yaacov’s wages: 30:36
    3 days distance is put between Lavan and Yaacov and thus 3 days pass
    before Lavan is told that Yaacov has fled).

3 types of fresh rods are used by Yaacov (poplar, hazel, chestnut)
   (he then peels them to create the “hypnotic sheep mating sticks”)

3 types of sheep result from using three types of rods: ringed, speckled, and checkered.

Notice that there are four instances of 3. The events that give rise to these numbers are dictated by the internal geometry of the luchot, as mentioned in the essential construct on the primordial torah. In this case it is an aspect of the tetrahedron within the cube (which is one of its five internal mathematic constructs) that has four triangular faces with a total of 720 degrees.  Each alludes to the nature of the Name with 3 x 72 or 216 letters abbreviated as four (opposite four).

The 4 letters in Yehuda’s name that are those of the Tetragrammaton, plus the 5th letter (the daled) have a gematria of 30 (or 3 “tens”). The 4 instances above are another reflection of the abbreviations and the “3” alludes to the triad nature of the Name. The reason for the multiple of 10, is that Yehuda’s descendants (until today) have always kept (collectively) the 10 Commandments inscribed on the luchot, whose volumetric measure corresponds to the total number of letters in the Triad Havaya of 72 (216). Other tribes of Israel did not keep the commandments and were ultimately lost, and so as we mentioned above, the surviving Jews are (mostly) from the tribe of Judah/Yehuda.

Additional reflections of this geometry are found in the circumstances involving Yaacov’s journey to Charan when he stops in Luz. He has a dream in which God appears, so when he awakes, he calls the place Beth El. Luz (the original name) has a gematria of 43. The integer sequence in the gematria (that should now sound vaguely familiar) consists of the numbers that happen to characterize the above events/circumstances. Beth El (the new name) however, has a gematria of 443 (a star tetrahedron which is the geometry of unification has four faces on one half, and four faces on the other half, each with 3 corners. The cosmic blueprint (primordial torah) ultimately specifies reality in the world below. In this case, the names reflect the larger reality. The change in the name of this place, as seen in the sequence of numbers in their gematria, is the same with the exception of the additional 4 following the first 4. Yaacov says in 28:17 “Surely God is present in this place!” He then changes the name from Luz (43) to Beth El (443) alluding both to the two primary abbreviations in the 4 letters of the Tetragrammaton and the 4 letters of Adnoot, and the nature of their position in the Triad Name that define His presence in this place (a total of 72 small faces with 3 corners on the 4 faces of one opposite the 4 faces of the other). In other words, the Name and its abbreviations define the geometry of the blueprint (luchot) which in turn defines the world below, or the nature of creation as it progresses over time, toward unification, and its ultimate perfection. Names are important. They reflect the essence of what is named; what has happened; or what will happen in the future. That’s why our tzadikkim recommend changing the name of someone who is sick, to restore their health. It's not the new name that is important, so much as how accurately the new name reflects the letters of the Creator's Name.

In order to explain it a little differently, the letters have their counterpart in the numbers and sets of numbers in the mathematic structure of the star tetrahedron (three-dimensional magen david) which is a geometric reflection of the letters in God’s Explicit Name. This reflection (which is again 1 of 5 internal constructs within the combined cubic form of the luchot) defines the geometry of a star tetrahedron that happens to consist of a tetrahedron with 4 faces/points opposite another tetrahedron with 4 faces/points, each face having 3 corners. The internal geometry of the luchot (blueprint) defines reality in the world below, although we seem to decide (by our actions) how it is to be manifested. In this case, Yaacov sanctified God’s Name (proclaiming God’s Presence) in this place (Luz) by changing its name to Beth El. Of course, as you might suspect, the Presence of God’s Name is found in many additional places. We’ve examined the 3s and the 4s. The 7s are also somewhat revealing.

The 7s (as we’ve explained many times throughout the blog) generally correlate to our observance of calendar related halachah. However, they are an inherent aspect of the blueprint (luchot) as well. Sometimes they are seen as 7 opposite 7, in which case they are a one-dimensional reflection of the magen david in the form of its 7 elements opposite 7 elements (as explained in the post on Emor which is a prerequisite to understanding this particular reflection of God’s Name). In other cases they appear as three 7s, in which case they are a one-dimensional metric expression that corresponds to (the cubic nature) in the cycles of 7 that mark the passage of time, a construct that hides three 6s corresponding to the combined cubic form of the luchot and the letters of the Explicit Name as detailed in posts like BeHar and Bechuko-thai.

In this parashah, we see this aspect of the blueprint/luchot manifested in: 1) the 7 years that Yaacov worked for Rachel but then by deception marries Leah instead; 2) the 7 days of wedding celebrations after the wedding and then; 3) Yaacov agrees to work another 7 years for Rachel. These three 7s define the cycles of “time” in a physical universe with three observable spacial dimensions, invariably expressed in terms of sevens like 7 days (week) 7 x 7 days (omer) 7 years (shmitah) 7 x 7 years (jubilee). All are reflections of cycles pertaining to halachah, defined by the geometry of the luchot. This observance (that reflects the nature of time) as previously mentioned, “hides” the 216 elements, which are the spaces/intersections within the matrix that corresponds to the combined cubic form of the luchot and the 216 letters of the Explicit Name (again, explained more fully in the post on BeHar and Bechuko-thai).

In this case, there were not only 7 (years) for Leah and 7 (years) for Rachel: 7 opposite 7 (years) but also 7 (days) of wedding celebrations, that then led to the 7 (days) it took for Lavan to catch up with Yaacov on Mt. Gilead. So we see the 7s as both 7 opposite 7 (as in the royal seal of the magen david) but also three 7s as in the matrix of time that hides the Signature of the Architect, a signature that is now complete after the culmination of these events. A triangle coincidentally consists of three points (from among a total of 7 elements) where one point is different from the other two points (any two of its points exist in one dimension while the third point is in the second dimension with respect to the first two). The events (below) mirror the geometry imposed by the primordial blueprint, and so the sevens take the form of 7 (years) for Leah; 7 (years) for Rachel and 7 (days) of celebration, where one period (or measure) of time, is different from the other two.

This series of events continues when Lavan eventually catches up to Yaacov. They make a treaty and then pile stones on top of one another to mark the spot. The terms of the treaty required each to refrain from crossing the border to harm the other, and the stones marked the border set by the treaty. Then they name the place Gilead which is actually two words (“Gal” and “Aid”) that mean “witness mound,” in reference to the stones. Each person was of course required to keep his half of the bargain. The gematria of “half” is 108 (as is the gematria for "the stones" which is what they had piled up as a "witness"). The new name for the place was Gilead, but it has a gematria of 107, which falls "1 short" of the mark (108 being half). The implication was that 1 party (Lavan) would not keep his half of the bargain. Yaacov may have suspected as much. In next week’s parashah, we’ll see how this is rectified.

At any rate, the treaty required each party to refrain from crossing the border to cause harm to the other, but soon after, Yaacov encounters Esav coming against him with 400 men (next week’s parashah). How did Esav know that Yaacov was coming? It turns out that when Lavan got home, he sent his son Beor to incite Esav, to kill Yaacov, in violation of the treaty he had just made (hence the defective gematria).

Beor along with AviCheref, the son of Utz (who was the son of Nahor) and 10 men (quite an entourage) run to Seir to do the will of Lavan. When they reach Esav, they spin a twisted tale accusing Yaacov of deception. Beor tells Esav that Yaacov "left suddenly" without telling Lavan, as though Yaacov had committed a crime (the alleged reason for leaving suddenly). The truth was that Yaacov knew Lavan would try to prevent his departure and he had no alternative. However, the truth didn't matter to Beor as long as the desired result was achieved. And indeed it was, as the allegation reminded Esav that Yaacov deceived him too, by "stealing" the blessings and birthright (which was never true in the first place since the birthright had been purchased). Then after further distorting the truth, and getting Esav worked up, they inform him of Yaacov’s whereabouts. So Esav gathers an army and marches against Yaacov. The bottom line is that Lavan, lacking any respect for God or what God requires of men (alluded to by each luchot with 108 cubic handbreadths and the commandment against "bearing false witness" or "murder") failed to keep his "half" of the bargain alluded to by the gematria of Gilead (107). Gilead, made up of the 2 words (even in the Aramaic of 31:47) signified the treaty made by 2 parties, or 2 halves. To rectify the breach in the treaty, God had Lavan die within 2 years of his violation of the treaty, so we see 107 (Gilead) + 107 (Lavan's unkept half of the treaty) 'create' the requirement limiting his life to 2 more years: 107 + 107 + 2 = 216. The events once again are specified in the geometry of the luchot and the letters of creation, that are once again, themselves derived from the letters of the Name

In summary, we’ve seen numerous instances in this parashah where a knowledge of God’s Explicit Name is a prerequisite for both protection and blessing. The signature geometry here takes one of 3 primary mathematic and/or geometric forms: 4 opposite 4 (that are 4); 5 opposite 5, and 3 x 72. These reflections of the Name go hand-in-hand with understanding the nature of the luchot and what God requires of man. When Israel honors God’s Name and observes halacha, "he" is blessed and protected. When "he" does not, the blessings and protections take a different form, a form involving painful realizations that inevitably lead Israel back to its original path, ultimately destined to "return" (4 times) to the Land; a path involving tikkun (rectification) of human consciousness; and a path that invariably reflects every aspect of the letters in God's Name. 

Toldot

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, “...now 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 Ehyeh. 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.

 

Chai Sarah

There are a number of places in Parashah Chai Sarah where we find allusions to God’s Explicit Name and its primary abbreviations. We will examine these in a moment. However, if you are new to this blog please 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 the physics of time and space, quantum mechanics and celestial dynamics to name a few. Once you are familiar with these constructs you can more fully appreciate each post.



In our last post on Chai Sarah, we spoke of the moment that “Eliezar gave to Rivka a gift,” and how this gift alluded to the luchot. The gift consisted of two bracelets that were ten selaim (silver shekels) in weight. The Sages of Israel explain that these two bracelets allude to the ten commandments on the tablets that Rivka’s children would eventually observe. The two “bracelets” to be worn by Israel in the future would be the yoke of Torah manifested in the shnei luchot (two tablets). Since the number and the weight of each bracelet alludes to the luchot, it also alludes to the Explicit Name since the volumetric measure of the luchot were 216 cubic handbreadths and the number of letters in that Name.



There are additional allusions as well, because the combined cubic form of the luchot is characterized by five internal mathematic constructs, each with a polar opposite (5 opposite 5). The two bracelets have this same geometric form, a form we find in both the combined cubic form of the luchot (with its 5 opposing constructs) and the divided form of the luchot (with 5 opposing commandments). Thus its mathematic reflection in the narrative, is hidden in one bracelet (of 5 silver shekels) that has an opposing twin (also of 5 silver shekels). For more information on the five internal mathematic constructs and their opposites in the combined cubic form of the luchot, see the post on 'string theory' as it pertains to the foundation stone.



What we didn’t mention in the last post on Chai Sarah was the connection that certain events have to the tetrahedral geometry with its 72 triangular corner points (the royal seal corresponding to the 216 letters). The two-dimensional shadow cast by this three-dimensional geometry is of course the magen david.



Where do we find this tetrahedral allusion to the Explicit Name in Chai Sarah? It is found in the characteristics of the text that mirror the marriage of the 4 male-female letters of the two primary abbreviations of the Name (described in greater detail in posts like "the marriage of the letters" and Ki Thetze). The marriage consists of the 4 letters of the Tetragrammaton and the 4 letters of the Havayah of Adnoot and this geometry is hidden in the characteristics of the events at the well involving Eliezar and Rivka. It is also hidden in the events surrounding the purchase of the cave at Machpelah, both being main subjects of this parashah.



In the case of Machpelah, the 4 couples are buried (concealed) in the cave. In the case of the events at the well, the 4 couples appear in the mathematic structure of the narrative. A well with water is also a euphemism for the well-springs of Torah, the implication being that such wisdom comes from God, whose Name is hidden in the mathematic nature of the events described by the text.

We'll examine these events at the well first. Keep in mind as you read these 4 references, that the Torah says only what needs to be said, and so it is unusual when something is repeated once, let alone 4 times. When something is repeated 4 times, it means there is something special to be learned:



Eliezer prays to God...



23:14 “if I say to a girl... tip your jug... and give me a drink and...” 

23:14 “if she replies ‘Drink and I will also water your camels’ 
she will be the one you designate”



Rivka then arrives at the well and... 



23:17 Eliezer says to her “let me sip water from your jug.” She replies...

23:18 “Drink sir [and] let me draw water for your camels” (23:19)



At this point Eliezer gives her the gifts mentioned above (mathematically alluding to the luchot) and they proceed to Betuel's house. Eliezer then tells his story about the prayer and its fulfillment, explaining exactly what he prayed:



23:43 “If I will say to her let me drink” and she says...” 

23:44 “drink and I will also draw water for your camels” then...
“I will know that she is the one whom God has designated.”



Then Eliezer proceeds to describe what actually happened to show that she is the designated woman...



23:45 “I said to her ‘please give me a drink,’ and then she said...”

23:46 “Drink, I will also water your camels.”



The sequence of events described above, consists of 4 pairs of phrases alluding to the 4 pairs of letters (more fully described/explained in the Marriage of the Letters). The subject of each phrase is identical, but the words used to convey what happened are slightly different. This is like the letters. Each is a letter of the Name, but each is slightly different. Each pair of phrases corresponds to 2 of the letters. The 4 pairs together correspond to the marriage between the 4 letters of one and the 4 letters of the other.

This is also like the 4 couples in the cave at Machpelah. Just as the 4 pairs of phrases allude to the 4 letters of the Tetragrammaton opposite the 4 letters of Adnoot, so too, the 4 couples destined for concealment at Machpelah allude to this marriage relationship in the unification of these letters. Each is a reflection of a larger reality.

The premise being that from the very beginning, Israel (the descendants of those involved) would sanctify God’s Name (characterized in this case by the 4 opposite 4). This pattern of 4 opposite 4 is found hidden in the various narratives throughout the Torah as well (actual historic events) that play themselves out over time. It is not a fabrication; It is not a coincidence; nor is it an accident. Rather, it is a reflection of the Creator’s Signature that is hidden just beneath the surface.



These same mathematic characteristics are also found in the royal seal (see the post on Parashah Emor) where the nature of the letters is concealed in the geometry of the magen david. In three-dimensions, the star tetrahedron has 4 points on one tetrahedron, opposite 4 points on the other tetrahedron (4 opposite 4). The mathematic construct that gives rise to this three-dimensional “royal seal" (72 triangular corners: 72 x 3 = 216) is simply another geometric reflection of the 216 letters. The letters are also found in the two-dimensional version of the royal seal (the magen david) that has only 6 points (3 opposite 3). However, the additional aspects (pertaining to the 4 opposite 4) are hidden within the limitations of two-dimensional space. In order to see them in two-dimensions, they must be seen as a function of the 12 stars which are the 12 tribes of Israel as signified in Yoseph's dream (see also the posts on VaYeshev, VaYelech and HaAzinu where the 6 triangular points on each of 12 stars corresponding to the sons of Yaacov/Israel equal 216 (6 x 3 x 12 = 216). Take time to contemplate the significance of these mathematic models as they pertain to God’s Name.



In addition to the things we’ve mentioned above, there are many more allusions to the nature of the Explicit Name in the events of Chai Sarah, specifically in the number of times, and in what way, certain words are used to describe the events. We will provide some microscopic details on these in a moment.



In the meantime, we need to explain the reason these allusions exist. They are each (in their own way) a reflection of the Architect’s Signature. The nature of the letters in His Name defines the mathematic and geometric characteristics of the cosmic blueprint or luchot (as seen in the example of their volumetric measure: 216 cubic handbreadths). The ratio of the divided luchot reflects its triad nature as well: 6 x 12 (72) x 3 (or 216 cubic handbreadths). It is important to understand the significance of its triad nature and how the triplets relate to the three dimensions of the luchot:

6 x 12 (72) x 3 (or 216 cubic handbreadths)

As mentioned above, the same ratio is hidden in the geometry of the three-dimensional magen david with its 72 triangular corner points. Here, the marriage of the letters is represented by the merging of the tetrahedron with its polar opposite, each (again) with 4 points. The geometry is a function of the mathematic characteristics within the combined cubic form of the luchot. However, the marriage of "letters" (unification/sanctification) takes place only by virtue of the mitzvot performed by Israel and the events that transpire over time. We will see in future posts on portions of the Torah, how the events reflect these mathematic characteristics, to show how they all connect to God’s Name.

As for the microscopic details we spoke of, please be advised that these details are only recommended for those who follow this blog on a regular weekly basis and are fully familiar with the concepts described in the essential constructs to the right and the patterns that repeat themselves throughout Torah. Those who are unfamiliar with these aspects of God’s Explicit Name should stop here and go no further. The numbers, sets of numbers and ratios will have no significance whatsoever.

For those who are reasonably familiar with these aspects, the following may be of interest. The Torah says (in 23:2) that “Sarah died in the City of Arba.” Avraham acquired a burial plot for her in Hebron, or more specifically, Avraham buys the Cave of Machpelah from Ephron the Hittite. He purchased the cave (and field) for 400 silver shekels. A deed was then written and signed in the presence of 4 witnesses.

The “City of Arba” was purportedly called Arba after the name of a giant that ruled the city. Three of Arba’s sons (also giants) lived in that city, and thus the city could be called “The City of Four,” referring to Arba and his three sons (“arba” also means “four” in Hebrew and so the name has other meanings and connotations).

Some say the name “Arba” comes from the 4 righteous men (Avraham, Eshkol, Mamre and Avner) for whom the city was known. The fact is that both of these traditions are true and whether it was one, or the other, would depend on the predisposition of those living at the time. This facet of the name "Arba" has its origin in the nature of the letters that are 4 opposite 4 (or 4 couples) mentioned above. In this case there are 4 righteous men opposite 4 unrighteous, another reflection of the abbreviated forms of the Name that are each an aspect of the male-female nature of the universe.

This male-female characteristic takes many forms like: husband-wife; up-down; east-west; mercy-judgment; and the big one: good-evil. So it is not surprising that "the opposites” of the 4 giants (Arba and sons) are the 4 righteous men (Avraham, Eshkol, Mamre and Avner) for whom the city was known. They stand opposite one another (4 opposite 4) just as the 4 "couples" buried in the cave are 4 opposite 4, and just like the 4 phrases above that are 4 opposite 4. They are all reflections of the same thing. It's just that the couples in the cave are reflections of the letters after having been "married" together, as would be the case with sanctification/unification. 

This is like the 4 letters of the Tetragrammaton opposite the 4 letters of Adnoot that are married together during the 4 bows. When they come together as "one," they “return” to the unified state (represented by the letters of Ehyeh). Each event is merely a reflection of the letters in the Signature of the Architect, in various states, at various times, and because the events of this parashah figure so prominently in the cosmic scheme of things, these particular reflections are brighter and more frequent than the average reflection that corresponds to the nature of those letters. 

As for the 4 couples in the cave of Machpelah: there were 4 men buried there with their 4 wives. Machpelah (thus) means “double,”and one of the reasons it is called “double” could be that it is the “doubled” version of the previous reflection involving the 4 unrighteous men opposite the 4 righteous men (keep in mind that it was even double when Avraham purchased the Cave from Ephron, "double" because Adam and Eve were already buried there).

The 4 couples who would eventually be buried in Machpelah were:



1) Adam and Eve (who were already there)

2) Avraham and Sarah

3) Yitzchak and Rivkah

4) Yaacov and Leah


These 8 people (husband and wife, male-female) were buried (concealed) in the cave like the marriage of the letters is concealed from the uninitiated, the marriage being the 4 letters of the Tetragrammaton and the 4 letters of the Havayah of Adnoot (there are other combinations of the 4 letter Names as well). Just as the unification of these letters takes place over time in certain events (and during the 4 bows) the rectification of the soul takes place over time during the life of any given individual.

The process is like the geometry of a star-tetrahedron: 2 tetrahedrons (each with 4 points) are merged (married) together facing opposite directions (male-female). This “royal seal” wherein the Signature of the Architect is found, is a mirror image of what was, and is still happening during the 6,000 years of creation (see the post on Metzorah).

There are 4 points on one tetrahedron, opposite 4 points on the other. In other words, the geometry of the star tetrahedron with its 72 triangular corner points, reflects not only the characteristics of God's Explicit Name in the 216 letters, but also the characteristics of the marriage between the abbreviated forms, in the 4 letters opposite 4 letters. The 4 men (and their wives) in Machpelah, the 4 pairs of phrases and the 4 pairs of righteous/unrighteous men are the mathematic specifications within the luchot being manifested in the created world below. They are the end result of "the plan" within the blueprint. Or, to put it another way, the events (whose mathematic characteristics are seen in the geometry of the blueprint) are a shadow of the letters in the Explicit Name and its abbreviated forms (this is by the way similar to the marriage seen in Parashah Lekh Lekha). The "story" (SipPuR) is literally in the geometry of the "SapPhiRe" (luchot).

In the meantime (at that time) until all 8 couples were buried (concealed) in the cave (that is until all 8 letters are unified) there are issues to iron out. That's the way it is with the rectification of the individual soul and also the collective soul of klal Yisrael. It does not take place instantaneously. That's why there were only 2 buried there at first, Adam and Eve; then Avraham and Sarah; followed by Yitzak and Rivka; and then finally Ya'acov and Leah. Each is a stage in a process that takes place over time (measured by cycles of 7 as we’ve demonstrated many times, where those cycles originate in the geometry of the luchot, and thus a mirror image of the letters in the form of, for example, the royal seal or magen david). If you take the time to contemplate this, you will more fully appreciate the complexity and sophistication of the system that is a very real reflection of the letters in God's Name.

Here (above) and in the paragraphs that follow, we will see these reflections in almost identical form! Remember that 7 opposite 7 is a simple one-dimensional (metric expression) describing the two-dimensional characteristics (or number of elements in) a magen david, and that 14 opposite 14 is a simple one-dimensional expression describing the characteristics (or number of elements in) a three-dimensional magen david (if you have difficulty understanding this, you may want to review the post on Emor where this is modeled).

Having said that, let's recall the circumstances involving 3 of the above patriarchs and matriarchs. Rivka was buried in the year 2207 and Leah was buried there in 2214. Notice that 7 years elapsed between their deaths. Yitzchak died in the year 2228. That was 14 years later (or 2 x 7 years later) a total of three 7s. The underlying pattern consists of the number 7, and then 2 more "periods" of 7 years. This is the same pattern that was found in last week's parashah where 7 ewes were mentioned 3 times. It's the same as the pattern in the conquering of 7 nations in 7 years and then dividing that land in 7 years. These three 7s originate in the external geometry of the combined cubic form of the luchot (explained and modeled in the post on the eight dimensions) and correspond to the halachic observance of calendar related halacha that creates a mathematic or geometric matrix with a “dimension” of 7 x 7 x 7 “cycles” seen in 7 days (week) 7 x 7 days (omer) 7 years (shmitah) or 7 x 7 years (jubilee) to name a few. In the case of the above patriarchs/matriarchs, one dimension is merely being compressed or folded-back over the previous dimension in the 2 x 7 (14 years prior to Yitzak's death).

This is like the royal seal that we explained in the post on Parashah Emor (7 opposite 7 in two dimensions or 14 opposite 14 in three dimensions). The matrix of 7 (a construct that is in essence created or formed by our observance of calendar related halacha) consists of cycles that define the dimensions of a cubic matrix measuring 7 x 7 x 7 (cycles of days, weeks years etc). Although it would be more accurate to say that this cube is determined by the combined cubic form of the luchot (6 x 6 x 6) that is found in the spaces between the elements of the matrix involving cycles of 7. The hidden matrix, as we’ve explained many times, contains 216 elements (spaces/intersections) that are a reflection of the 216 letters in the Explicit Name.

That’s why this pattern repeats itself over and over again throughout Torah. It is a function of the geometry of the primordial torah (luchot) and so it is manifested in various events that occur over time in the written Torah, where time is measured in cycles of 7. In the case of the above patriarchs/matriarchs, these 7 year time periods between the 3 burials hint to the fact that throughout their entire lives (a period of time measured in cycles of 7) these tzaddikim kept halachah. However, it is sufficient at this point to recognize that: 1) there is a "hidden" matrix within the one created by our observance; that it is 2) mathematically equivalent to the cubic measure of the luchot (as depicted so many times throughout this blog); and 3) that this equivalence reflects the nature of the Explicit Name with 216 letters, by which all things are measured.

The next section will focus on the connection between the 400 silver shekels that was paid for the cave, the letters and all that has been mentioned thus far. The number is significant for several reasons. Its natural factors are 4 and 8, the number of letters in the primary abbreviated forms of the Explicit Name. When so factored, the result is either 1 (hundred) where "1" is the ultimate prime number of prime numbers, and central to the concept of quantum singularity, or 5 (tens) or 50. The number 50 is half of 1 (hundred). Its time to remember the bracelets that were valued at 10 (for the) 2 bracelets, that were each 5, like the luchot that consisted of 10 (commandments on the) 2 tablets, but remember also that the word for “half" (chatzei) has a gematria of 108 and that half the luchot are 108 cubic handbreadths. The numbers together (400/100/50) have the same ratio as the 4 couples and the 8 letters (8 x 50 and 4 x 100 both equal 400) and so they mirror the 4 opposite 4 nature (ratio) of the abbreviations of the 216 letters (half of which are 108). Hopefully, we've made the correlation easy for you to see. If not, you might contemplate the numbers as they apply to God's Name. All of this is in addition to the 5 opposite 5 nature of the physical universe (that we will examine in a moment) itself a result of the mathematic and geometric nature of the blueprint (2 luchot / 10 commandments / 5 opposite 5, etc.). This is manifested in the mathematic aspects of the physical universe as seen in, for example, the 5 string theories reconciled by dual resonance. Ultimately, the patterns are all a reflection of the letters in God's Name. 

The 400 silver shekels have many more connections to God's Name as they relate to the "Tav" (Tichyeh - "you will live") explained in the "essential construct" entitled "Every Second Counts," (to the right) where "time" (in cycles of 7) is once again shown quite clearly to be a measure of 400 as it relates to the 216 letters (in this case the number of seconds in a 24 hour period).


In the meantime, the above allusions are also glued more firmly together by the gematria of the word "kesef," meaning silver (160). This can also be factored by the numbers associated with the Name and the luchot: (4 x 4) x (2 x 5). This is another clear mathematic reflection of the 4 opposite 4 nature of the letters and, here also, a reflection of the bracelets and of course the shnei luchot (2 x 5) both in terms of the commandments and in terms of its 5 internal mathematic constructs and 5 polar opposites. The relationship between one thing and another is hidden even in the gematria, but present nonetheless. 

The gematria of Kesef can also be calculated as 880 which can also be factored by the number of letters in the Name and the ratio of the luchot: (2 x 44) x (2 x 5) which is simply another version of the same numbers and the same mathematic reflection. However, the connection also goes a bit further.

Kesef (silver) also happens to be mentioned 7 times in this week’s parashah, like the cycles of 7 and the timing related to the burial (concealment) of the patriarchs/matriarchs that were included in the 4 couples mentioned above. The correlation between the numbers, sets of numbers and ratios that are related to the letters in the Name and in this case 7 like:

   1) the gematria of 7; 
       2) specific instances of 7; and 
           3) cycles of 7; in this parashah...

                 ...are difficult to ignore, especially when considering
                        ...that these patterns are replicated so frequently.



The text of the deed by the way, reads something like this: "The cave and the field that Avraham bought from Ephron the Hittite, his offspring, the citizens of his city, and their offspring, forever, are hereby to be a purchase to Avraham and his offspring and those that issue from his loins, for a possession of a burial place, for all time.

The deed was then signed by Avraham and Ephron (2 people) and witnessed by 4 people. The 2 and the 4 are once again an ongoing reflection of the letters of the 2 abbreviations. Under normal circumstance there would be no reason think that 4 people witnessing the signature of 2 had any great significance. But in this case, we've been examining the 4 "couples" (2) and their counterpart in the 2 luchot that were brought down twice (a total of 4 tablets). God is the only true witness and so these numbers indicate that the Signature of the Architect is in essence incorporated into the deed. The 4 witnesses are thus more significant than they first appear:



1) Amigol, son of Avishua, the Hittite. One representative was from the nation that Avraham was buying the plot from.


2) Elichoren, son of Ashonash, the Hivite. The Hivites were neighbors of the Hittites


3) Avdon, son of Achira, the Gomerite. Gomer was the oldest son of Yefes, and he was also the 1st king of Italy, though his progeny spread throughout Europe and into parts of Asia. Using someone from Gomer, the oldest of the oldest (Yefes), gave regality to this man.


4) Akdill, son of Avudish, the Sidonite. Sidon was the oldest son of Canaan and brother of Heth (Hittite) and Hivi (Hivite). Sidon was the great maritime and business capitol of the ancient world. The Phoenicians came from there and thus, we can say that the 4th witness to the purchase of the Cave of Machpelah was tantamount to having a trader on the NY Stock Exchange or a lawyer from Wall Street as a witness to this business deal. The business world surely knew about this purchase as a Phoenician was present.

The 4 witnesses to 2 signatures are like the 4 tablets in the 2 cubes that were divided and brought down by Moshe. They are also like the 4 couples (of letters) in the Name. Coincidence? Maybe, but considering the sheer number of even more precise reflections previously examined above, this one is likely a more faint allusion to the same thing. It is as if to say that the deed to the Land (ultimately the Land of Israel) was witnessed by God Himself, whose Signature is on the transaction.

In addition to the one worthy witness who would ultimately guarantee the deed of sale (God Himself) there were 6 specific men of fame (besides the nobles of the Land) that attended Sarah’s funeral (which led to the transaction). Keep in mind that each dimension of the blueprint (in the combined cubic form of the luchot) is in the measure of 6 handbreadths. In combination with the 4 couples, this is like the 6 faces and the 4 points opposite 4 points of the combined cubic form of the luchot, and the 6 lines and the 4 points of one tetrahedron opposite the 4 points on the other tetrahedron (in the royal seal). It should therefore come as no surprise that there were 6 "men of fame" present, along with the 4 witnesses:



1) Shem

2) Ever

3) Avimelech

4) Avner

5) Eshcol

6) Mamre


As just mentioned, the number "6" is a measure (in handbreadths) for each dimension of the combined cubic form of the luchot, but the luchot were of course divided when they were brought down by Moshe. After their division, the "measure" along one side (one dimension) changed to 3 handbreadths (as pictured in the diagram below) and so we see the above 6 men “divided” in like fashion: Avner, Eshcol, and Mamre were Avraham’s allies that helped him contend with the 4 kings (that captured his nephew Lot). The “division” of these 6 men into 3 of one category and 3 of another, is like the division of the luchot (in handbreadths) each being 6 x 6 x 3 in male-female form. 

There is another pattern in this particular group of 6. The first 2 of the first three (Shem and Ever) were Avraham’s great, great, great, great, great, great, great grandfather (6 greats) and great, great, great, great, grandfather (4 greats) respectively (note the number of "great's" or generations was either 4 or 6, just like the numbers above that we've been examining.

The first 2 of the second three (Avner and Eschol) were Avraham’s great, great, great, great, great, great uncles (again 6). And both "first 2s" of each group of 3, were Avraham’s blood relatives. The 3rd in each group, Avimelech and Mamre, were not. They were both descended from cHam. Avimelech was a Philistine, who came from Mitzraim son of cHam, and Mamre was an Amorite, who came from Canaan, another son of cHam. Avraham lived in both of their lands. He lived in the Plains of Mamre, but then he moved from there to Philistia, where he lived in Gerar (the city of king Avimelech).

Each half of the above "equation" is in the ratio of 2 (of one type) to 1 (of another). This ratio is like the characteristics of a 2 dimensional magen david ( a shadow of the 3 dimensional magen, the star-tetrahedron). Each triangle has 3 points. However, any two points of the triangle are in one dimension, and the remaining point is different since it's in the next higher dimension (2 of one and 1 of another). When the 2 triangles are merged (like the unification of the letters in the Name that it represents) they create the 2 dimensional magen david. In addition, the 6 men had one thing in common: it was Avraham’s death and burial that brought the 2 groups of 3 together. In other words, Avraham performed this unification by virtue of his death. This is like the unification of its shadow in the form of two tetrahedrons (the star tetrahedron) that has 72 triangular corners corresponding to the number of letters in God’s Explicit Name (216). The characteristics of the events and their allusion to the royal seal is an indication that the Divine Presence was there to witness the burial as well. 



Avraham’s burial was of course not the only event involving the patriarchs to sanctify God’s Name. The last person to be buried in the cave of Machpelah (that would complete the allusion to the process in the marriage of the letters in God's Name) was Yaacov, and so the circumstances surrounding his burial were no small matter!


Yaacov died in the year 2255. If indeed the luchot are the blueprint for creation and all that would happen over time, then this sequence of numbers (2-2 5-5) may be more than a coincidence. It's like the 2 luchot that were brought down 2 times, with 5 commandments on one, and 5 on the other. Ya'acov kept all that was written on them, even before they were brought down.

When Ya'acov died, Yoseph came to the funeral along with his brothers; and practically all of Egypt came to Canaan to pay their respects and bury Yaacov. Esav was in Seir when he heard the news, but then he and his associates converged on the cave of Machpelah, and the last thing on their collective minds was to pay their respects. Esav had an ulterior motive: he wanted the Land for himself, despite the legal deed of sale. However, since God was the guarantor of the deed (as seen by the Signature of the Architect in the numbers above) Esav died trying to abrogate the transaction (this is a warning to any nation who would attempt to do the same thing today). When Yaacov was laid to rest, the "4 couples" in the cave of Machpelah were complete (the unification of the letters was complete for this stage of creation). 

With the 2 documents (in the deed of sale to Avraham and the deed of purchase to Yaacov) the cave bought by the Israelites and all the Land in question, became an everlasting inheritance that cannot be abrogated by anyone (despite the current intentions of the international community). The 4 couples buried there (a reflection of the 4 letters in the Guarantor's Name) are a witness to that effect. These 4 couples (buried there over a period of time) are a four-dimensional (time-related) witness that will stand the test of time, and so the phrase in the Torah “for all time,” is exceedingly appropriate. With the Name of "the witness" complete in 4 sets of 2s, the terms of sale became binding on all parties (the presence of the royal seal and the Signature of the Architect testifying to its validity). The Signature is mathematically/geometrically embedded in the events and the documents that represent the sale. 

Every aspect of the royal seal and the Name it represents are present.


The transaction was thus blessed by God. The word “bless” is therefore mentioned 7 times in this parashah, for example, in verse 24:1 where “God blessed Avraham with everything.” 

The gematria of “בָּרֵךְ - blessing” is 222, a number that is related to abundance and expansion (the very essence of blessing). To provide you with a little background: "plurality" enters the world with "2" (an expression of two in a three-dimensional sense is 2-2-2). Man’s act of procreation requires “2” (two people as in husband and wife). The word for "bless" is mentioned 7 times in this week’s parashah because 7 times a blessing is complete and irrevocable, but the specific things that are mentioned, are always in the form of pairs (2s). In verse 24:35, when Eliezer describes how God blessed Avraham, it takes the form of couples. Specifically we see 4 things “doubled.” Sound familiar? It's another reflection of the 4 "pairs" of letters in the primary abbreviated forms of the Explicit Name. The 4 pairs of 8 things are:


1) Flocks and Cattle

2) Gold and Silver

3) Male and Female Servants

4) Camels and Donkeys


These things are also hinted to in the gematria of “blessing” (which is 222) where 2 x 2 (= 4) x 2 (= 8). This is the same as the total number of things mentioned in the blessing (all in pairs). It’s also the same as the number of letters in the marriage (all in pairs).

We see this blessing also manifested, quite literally, and mathematically, in the life Avraham’s son Yitzchak, who was a major part of that blessing. The same “Signature” (of God’s Name) and His blessing are present on Yitzchak who lived until the year 2228. The sequence of numbers should look familiar. It contains the gematria of the word “blessings” (222) and also 8, which is the number of letters in the marriage of the Names and the number of categories mentioned. Coincidence? Of course not. The 8 types of things (in 4 pairs) by which Avraham (and Yitzchak) were blessed is another reflection of the source of the blessings (God) whose Name is found in the 4 couples/pairs found repeatedly throughout this parashah. The 8 letters (married together) are once again hidden just beneath the surface, and remain unseen by the casual observer who does not know God’’s Name. 

In verse 24:35 Eliezer says that God blessed his master Avraham with “מְאֹד – much,” or, what amounts to even more than would be indicated by the 7 times the word “blessing” is used in this Parashah; i.e. even more that the 8 categories of things that Avraham was blessed with. The 7 times the word “blessing” is used, and the 8 categories of those blessings, allude to the measure of the matrix of 7, where the 8th is found to be in the next higher dimension. To see the significance of 8 being above the normal order of 7, see the post on Behar & Bechuko-thai where this is graphically illustrated. 
 
Of course the number of reflections continue. The word “kindness” is mentioned 3 times by Eliezer in this week’s Parashah:


24:12 “God, … that You do kindness with my master Avraham.”

24:27 “Blessed is God, … Who has not withheld His kindness”

24:49 “if you intend to do kindness and truth with my master”



The word “חֶסֶד – kindness” has a gematria 72. And the 3 times that it is mentioned in this week’s Parashah, alludes to the number and the nature of the letters in God's Explicit Name (3 x 72 = 216) otherwise known as the Triad Havayah of 72. 

In addition to all of the above, there are a number of letters missing in this week’s parashah, from what would be the normal spelling of words or names. They all happen to be one of the 4 letters of the Tetragrammaton (Yuds, Heys and Vavs). Again, the Signature of the Architect is hidden just beneath the surface of the written text, and so the casual observer is unable to see the connection.

If you look carefully, you will discover there are a total of 12 missing Vavs. The letter Vav (ו) has a gematria 6 and so the 12 missing Vav's are 12 x 6 (72) which again is the number of triplets in the Triad Havayah of 72, that we just noted above, hidden in the 3 times the word "kindness" (with a gematria of 72) was used.


There are 5 missing Heys (ה) and all are from the word Na’arah – maiden. It is an unusual spelling for “maiden” since without vowels, it spells Na’ar (meaning “lad”). However, it should not be surprising since 5 opposite 5 is a reflection of the male-female aspects of the universe, as seen not only in the internal mathematic constructs of the combined cubic form of the luchot, but in the real world, governed by the mathematics of the 5 string theories reconciled by dual resonance. The letter "Hey" has a gematria of 5 and so 5 "Hey's" with a gematria of 5 is like the altar (for sacrifices) that was 5 cubits x 5 cubits. The altar on which the sacrifices were performed, was (is) in essence a mathematic reflection of the nature of the physical universe that is sustained by the halacha pertaining to the sacrifices. Everything can be seen to be interconnected on a complex and sophisticated level.  



There are also 6 missing Yuds ('). We find 1 missing in the spelling of the bracelets that were mentioned earlier (the 1 time it mentions the word it is missing a yud). The rest are all very rare instances of a missing yud, where again, without vowels, the word would not mean what it is was supposed to mean. The gematria of a Yud is 10 and 6 x 10 = 60 or 6 (tens). This is like the dimensions of the Holy of Holies (the place of the Divine Presence) that was 10 cubits by 10 cubits by 10 cubits. Of course each cubit is 6 handbreadths and so the dimensions (where the Divine Presence rested) was 6 (tens) x 6 (tens) by 6 (tens). The threes 6s correspond to the dimensions of the combined cubic form of the luchot and the number of letters of God's Explicit Name (216) but here they are hidden within the internal measurement of the "golden portion" of the Tabernacle. The Holy of Holies (golden portion) was in a section of the tabernacle that was constructed of 8 beams that were each 9 handbreadths (8 x 9 = 72). It consisted of 3 walls. Each of the 3 walls was thus 72 handbreadths in length on the outside (8 x 9 (72) x 3 = 216. In other words, both the inner (6 x 6 x 6 = 216) and the outer (of all 3) dimensions (72 + 72 + 72 = 216) of the Holy of Holies, correspond to the number of letters in God’s Name. The “Yud” (whose gematria is 10) missing in 6 instances: 6 (tens) is thus a reflection of these measurements, which are in turn a reflection of the letters in the Explicit Name.

Once again, the reason we see these reflections is that they are mathematic specifications in the blueprint (for creation) in the combined cubic form of the luchot, wherein we find the Signature of the Architect.


__________________



Footnote 1 – There is a tradition that Avraham did not give anything “physical” to these fathers of the far-east, rather he gave them something spiritual.


Footnote 2 – For example in the Ushpizen.