Friday, December 27, 2013

VaEra

In this post, we will look at a number of references to God’s Name and its abbreviated forms, as well as the dimensions of the luchot; the sevens and eights of calendar related halachah, and finally, we'll also look at the missing letters in this week’s parashah that hide the Signature of the Architect from the casual observer.

There are several sets of 3s in this week’s parashah that once again reflect the geometric characteristics of the royal seal (magen david) and the triad nature of God’s Explicit Name. In 6:3, for example, it mentions the 3 forefathers. In 6:8, it again mentions the 3 forefathers. The simple meaning is clear as it relates to Avraham, Yitzhak and Yaacov. However, the 3s relating to "fathers" are a fundamental aspect of the parent-child relationship in tetrahedral geometry, like those found between the tetrahedrons and their stellations (geometric children). The same patterns show up in progressions that are more difficult to see (easily attributed to coincidence) except that the patterns are all too familiar. In 6:16, for example, Levi has 3 sons and lives to 137. Yes, that could be a coincidence, but then in 6:18, Kehath lives to the age of 133 and the progression moves from one 3 to two 3s, like the progression of fractals in tetrahedral geometry when they transcend from two dimensions to three. It just happens to be identical to the plague geometry described in the corresponding post on "the Sapphire Magen David." If it ended there, it would be the end of the discussion, still just a coincidence, but then the same pattern (above) begins to repeat itself (like the plague geometry repeats itself). In 6:20, Amram lives to 137 (like Levi). Then, in 6:21, Yitzhar has 3 sons, Uziel has 3 sons (in 6:22) and then in 6:24, Korach also has 3 sons (3, 3, & 3). Yes, it could still be a coincidence, but it matches the plague geometry so precisely, that it may just be another reflection of the royal seal and the letters of the Explicit Name in the Signature of the Architect. In order for that to be the case, the pattern would not only have to repeat itself, but the number of repetitions would have to have significance. Indeed, they do, and that's exactly what the number of repetitions does! The above numbers are mere shadows of the Signature that will eventually be revealed.

In 7:7, it says Moshe and Aaron were 80 and 83, respectively, when they spoke to Pharaoh. Aaron was 3 years older than Moshe and they were both entering the 3rd part of their lives (see the post on Shemoth). In 8:1, Aaron is told to stretch out his staff over 3 things: 1) the rivers; 2) the canals; and 3) the reservoirs. In 8:9, Moshe asks Pharaoh when he should pray to get rid of the frogs for 3 categories of people: 1) you; 2) your servants; and 3) your people. Also in 8:9, God carried out the word of Moshe and the frogs died in 3 places: 1) the houses; 2) the courtyards; and 3) the fields. Then in 8:20, the swarm came to 3 places: 1) the house of Pharaoh; 2) the house of his servants; and 3) the land [that] was being ruined. In 8:23, Moshe tells Pharaoh that, “We will go on a three-day journey”. In 8:25, Moshe tells Pharaoh that the swarm will be removed from 3 categories: 1) from Pharaoh; 2) from his servants; and 3) from his people. In 8:27, the swarm was removed from the 3 categories: 1) from Pharaoh; 2) from his servants; and 3) from his people. In 9:14, God says that He will send all His plagues against 3 of Pharaoh’s things: 1) your heart; 2) your servants; and 3) your people. In 9:22, the hail will be on 3 things: 1) man; 2) beast; and 3) all the grass of the field. In 9:23, God sent 3 things earthward: 1) explosions; 2) meteors; and 3) fire. In 9:33, the 3 things ceased: 1) the explosions; 2) the meteors; and 3) the fire rain. In 9:24, Pharaoh saw that the 3 things had ceased: 1) the fire rain; 2) the meteors; and 3) the explosions.

Contemplate this carefully: there are 24 threes mentioned above, and 24 x 3 = 72 which is the number of triplets in the Explicit Name (72 is a 3rd of 216). A magen david in 3-dimensions has 72 corners, and there are 72 lugim in an ephah (see the post on BeMidbar), both of which connect with one another by virtue of the letters in the Name. There just happens to be 24 secondary (or small) faces in the form of equilateral triangles on the royal seal when 2 opposing tetrahedrons are merged. It's also the number of beams in the “golden portion” of the Tabernacle that are 3 x 72 or 216 handbreadths in width (see post on VaYakhel). All of this is highly significant, because the 24 small faces with 3 corners is a direct reflection of the words in the Torah that describe the events in Parashah VaEra. 

Up to now, it would have been reasonable for an objective person to consider the above numbers and sets of numbers a coincidence, but not anymore. The odds that the words used; the events described; the geometry of the star tetrahedron (magen david) and that the letters of the Name all connect this way (being a coincidence) is off the scale. What we are looking at is the nature of the blueprint, the Signature of the Architect, and God's plan for mankind unfolding before our very eyes. It's just that the details are hidden from the casual observer.  

There are also numerous 4s mentioned in this week’s parashah. In 6:14, Reuven has 4 sons. In 6:16, Levi has 3 sons, but he also had Yocheved, so he had a total of 4 children. In 6:18, Kehath has 4 sons, and in 6:23, Aaron has 4 sons. In 7:19, Aaron is instructed to stretch out his hand over the 4 types of water in Egypt: 1) over their rivers; 2) over their canals; 3) over their reservoirs; and 4) over all their gatherings of water. In 7:19, the blood will be on 4 categories: 1) all the water; 2) throughout the land of Egypt; 3) even the wood; and 4) stone. In 9:19, Moshe is instructed to tell Pharaoh to gather in 4 things from the hail: 1) your livestock; 2) everything you have in the field; 3) all the people; and 4) all the animals. In 9:25 the hail struck 4 things: 1) man; 2) beast; 3) all the grass of the field; and 4) smashed all the trees. In all, there are 8 mentions of 4. If you look at these 4s carefully, you will note that there are 4 that are "children" opposite 4 things, or categories, that are not "children." 

This is a reflection of the two primary abbreviations for the Explicit Name (more fully described in the post on Ki Thetze at the Sapphire Magen David). The geometry is also like that of the luchot when divided in all three dimensions (as seen in the post on VaYeshev) which is essentially a finite model of the 8 dimensions in euclidean-space. All of these numbers and sets of numbers reflect the nature of the two 4 letter abbreviations for the Explicit Name (the Tetragrammaton and the Havaya of Adnoot) that combine to form a third (the Havaya of Ekeyeh). These three 4 letter abbreviations, found in the above sets of numbers (in both the 3s and the 4s) are like the geometry of the royal seal or star tetrahedron, with 8 points that are 4 opposite 4 each having 3 corners with a total of 24 small faces. Keep in mind that these characteristics are found in 1 of 5 mathematic constructs found in the internal geometry of the combined cubic form of the luchot. The end result of the "marriage" of the letters in these two abbreviations for the Name, is the "marriage" in the corresponding geometry, where the 8 primary faces on the two tetrahedrons (4 opposite 4) subdivide into 24 secondary (small) faces, and where the magen’s overall dimensions are formed by 72 triangular corners (216). When we refer to the star tetrahedron (magen david) as the "royal seal" and explain that it is a geometric reflection of the letters in the Name, this is exactly what we mean.

The combined cubic form of the luchot is the same, having a total volumetric measure of 216 cubic handbreadths. Its internal geometry is where we find 5 specific mathematic constructs and their 5 polar opposites which correspond to its external characteristics in the form of 10 commandments, with 5 inscribed on one, opposite 5 on the other. Both these aspects of the luchot are seen in the numbers and sets of numbers of this week’s parashah. Where do we find 5 opposite 5?

In 6:6-8, there are the 5 expressions of Redemption:

1) I shall take you out from under the burdens of Egypt;
2) I shall rescue you from their service;
3) I shall redeem you;
4) I shall take you to Me for a people; and
5) I shall bring you to the land…

These five have the same characteristics as the internal constructs in the combined cubic form of the luchot. The five expressions are really 4 expressions of removing the Israelites from Egypt, and 1 expression of getting them to a new place. It's a perfect mathematic reflection of the 5 internal mathematic constructs in the blueprint for creation (the combined cubic form of the luchot) where 1 construct is different from the other 4We see the parallel in the 4 cups of wine on Pesach, and the 5th cup of Eliyahu which corresponds to the future. 

Coincidence? In 8:7 Moshe tells Pharaoh that the frogs will depart. This is the other "half" of the above equation. They will depart...

1) from you;
2) from your houses;
3) from your servants; and
4) from your people;
5) only in the River shall they remain.

Same pattern! Why (?) because the pattern is an intrinsic part of the blueprint. The mathematic characteristics of everything in God's creation (in the world below) simply follows the same pattern established in the blueprint. That's why we see the pattern repeating itself. That's why the pattern (of what happened to the frogs when the plague was over) repeated itself. Once again, just like 1 construct is different than the other 4, the same was true for the frogs: they left 4 places, but only remained in 1 place (the river). Thus, we have a reflection of both the five internal constructs and their five polar opposites found within the combined cubic form of the luchot, where 1 is different from the other 4.

However, just like there are 5 internal constructs in the cube, with 5 polar opposites, there are also 5 external constructs with polar opposites. It should therefore come as no surprise, that there are 5 more "reflections" of this characteristic, and you will see these in a moment as we proceed. In the meantime, it needs to be emphasized that the characteristics of the luchot (in the 10 commandments inscribed 5 opposite 5) are a cosmic mathematic paradigm by which everything is measured. We see this quite clearly as another pair of 5s appears in 8:17. There were 5 places where the ‘swarms’ would go:

1) [to] you (Pharaoh);
2) [to] your servants;
3) [to] your people;
4) [to] your houses; and
5) [to] even the ground.

Notice once again that 1 is different from the other 4. Its opposite appears in 9:3, in the 5 types of animals to which the ‘epidemic’ plague would apply:

1) the horses;
2) the donkeys;
3) the camels;
4) the cattle; and
5) the flocks.

The first 4 are specific animals and the 5th is not (the word "flocks" does not refer to a specific species) again reflecting the mathematic and geometric characteristics of the blueprint. However, we now have another 5 opposite 5 in the descriptions of the fourth and fifth plagues, and the paradigm is complete. In each case the pattern corresponds to both the internal and external characteristics of the luchot. Insofar as the internal geometry is concerned, it's also identical in that there are 4 of one type and 1 of another (only one of the five constructs is its own polar opposite). The two sets of 5 also call to mind the fact that the luchot were brought down twice.

Then we come to the sets of numbers corresponding to the most basic division of the luchot (male and female), specifically the number 2. There are numerous 2s in this week’s parashah. When the letters of the Name(s) were divided into their polar opposites (like the Tetragrammaton and the Havaya of Adnoot) the blueprint (luchot) followed suit, and so it was divided into its polar opposites (2) and became the shnei (2) luchot. We see this in the nature of the universe as well, and naturally so, since it conforms to the male-female dynamic established in the blueprint. In string theory its found in "dual resonance," also in "symmetry" and "super-symmetry." In quantum mechanics it takes form in such things as the plus or minus of an electrical charge. Let's see where this is found in the text (of Torah) that flows from the blueprint, and by the way, keep in mind as we do, that we are told the letters of Torah were "delivered" to Israel over a "6 day period." This alludes to the ongoing process of creation that would take place over 6 days (6,000 years). 

Insofar as this duality is concerned, we see its reflection in 6:26-27, where the narrative is framed by the unusual wording: “This was the Aaron and Moshe” and “this was the Moshe and Aaron.” The sages derive from this that both were equal, as the Torah does not exclusively always put one before the other. However, it goes beyond that. These 2 great leaders are actually a metaphor or physical manifestation of the letters in the Name, that are found in the volumetric measure of the 2 luchot (216 cubic handbreadths). Their characteristics are thus similar in many ways: their leadership positions, the effect these men had on the community, etc., are much like the dimensions of each tablet, which were identical, yet different. Using the numbers and sets of numbers that correspond to their respective roles, each can be compared, contrasted, and interchanged. In each case, there is a certain connectivity between the two, that is part of the very essence of the Names and the nature of the cosmic blueprint (details are beyond the scope of this post but God willing, it will be included in a future post). In this post we will focus instead on some more simple reflections of the 2 as they pertain to the Names.

In 8:10, we find double language: “They piled [the dead frogs] up into heaps heaps.” This is like the doubles described in the post on Shemoth, where identical words were expressed as doubles, which in turn, is like the 2 tablets of the luchot, and the Names to which they correspond. Here, in this case, there is no P’sik dividing the 2 “heaps” because the luchot at this moment in time were not yet divided (they would be divided later that year).

In 8:13 and in 8:14, “the lice-infestation was on man and beast.” These two categories are mentioned twice, like the two sets of luchot that were (or would be) brought down twice.

In 9:10-11, it says, “boils erupting into blisters on man and beast.” Aside from the seeming redundancy, these 2 parts of this particular plague also fall into 2 categories that are mentioned twice and correspond to the luchot in any number of ways including what would be its measurements divided in all three dimensions (as explained above and below) with 4 opposite 4.

In 9:11, “the boils were on the sorcerers and all of Egypt,” and so we have another 2, like the 2 luchot.

In 9:20-21, “those that feared the word of God, brought in their servants and livestock, and those that did not take the word of God to heart, left [behind] their servants and livestock in the field.” The two sets of two are another clear reflection of the luchot (blueprint). The one set "of two" (servants and livestock) was received and the other was destroyed. This is just like the luchot, where one set of two was received and the other set of two was destroyed.

Coincidence? Not if the pattern repeats itself! In 9:31-32, “the flax and barley were struck,” (by the hail) but “the wheat and spelt were not struck. Again we find two sets of two things, where one set survives and the other does not. This is again like the luchot, where two survived but two did not.

The geometric nature of the sets of numbers within the text is found throughout Torah because it is a fundamental aspect of the blueprint (seen in terms of mathematic logic that is part of what is called set theory). That's why all the related sets of numbers conform to the same geometry, and so it's not surprising that the above categories (of 2) are mentioned 12 times; though not including the first 2 mentions comparing Moshe and Aaron. Since they are not unique to this count, and are mentioned many times throughout this week’s parashah, we will provide specifics and count each separately (below). 

The 12 times it mentions 2 are quite specific. We'll summarize:

    with 2...
two mentions of 2...
     two mentions of 2 and 2...
             another 2...
  2 that got saved and… 
       2 that were destroyed...
    and 2 that were destroyed and…
                   2 that were saved.

The 12 times that 2 are mentioned is also like the geometry of the royal seal which has 12 small faces on 2 tetrahedrons (a total of 24). 

Moreover, if we divide the 12 times that it mentions 2 by two, we get 6 and 6, which is the measure of the luchot 6 x 6 (handbreadths) in the first and second dimensions. Where is the third dimension that was divided into 3 handbreadths? We'll see that in a moment.

Moshe and Aaron grouped together as a twin set of great leaders who were equal (see above) are mentioned 13 times in this week’s parashah1. The gematria of One (אֶחָד) is 13, and the luchot twins have a ratio of 1 opposite 1 (male opposite female) like the 13 (אֶחָד) times it mentions Moshe opposite Aaron. The total number of times it mentions both is 13 + 13 or 26, which is the gematria of the Tetragrammaton, an (abbreviation of the) One Explicit Name of the One God.

In 8:19, in connection with the swarm plague, God says, “I shall make a distinction between My people and Your people.” The word “distinction” (פְדֻת) has a gematria 484 which happens to be a numeric progression that reflects "the distinction" between the 4 letters in each of the two primary abbreviations of the Name, that have a total of 8  letters (not to mention the luchot, that when mathematically "divided" in all three dimensions have 8 quadrants that are 4 opposite 4 as seen in the post on VaYeshev). These mathematic portions found in the combined cubic form of the luchot, when examined as 4 + 4 or 8 portions have interesting implications. The word פְדֻת, for example, has a gematria of 484, which shows the mathematic “distinction” (division) in the Names, and the 8 parts of the luchot when divided equally in all three dimensions. However, in the post on VaYishlach, the pertinent gematria was 474. Both allusions to the 4 letter Names, surrounding either a 7 or 8, reflect the nature of Time defined by cycles of 7 that transcend to 8, seen in the parameters of calendar-related halachah. The 8 of course alludes to the next level (see the post on BeHar and BeChukothai for more details on the transition from 7 to 8).

At any rate, the mathematic and geometric characteristics of the luchot would seem to indicate that by making a “distinction” (484) between the “two” (Names) we transcend to the next level (8). When the two 4-letter Names were divided, the luchot could follow suit, and be given to the people (unlike when they were in their undivided raw state) and with them, the people were able to transcend to a higher level (8).

We mentioned above that the text would allude to the division of the third dimension of the luchot that would result in a measure of 3 handbreadths (each of the two being 6 x 6 x 3). We've now reached that point. In 9:4, it says, “God will distinguish between [the egyptians'] flocks and Israel's flocks” (regarding the epidemic plague) and in 9:26, “only in the land of Goshen, where the Children of Israel lived, was there no hail.” Thus, the words making a “distinction” are mentioned a total of 3 times to describe the difference the plagues would have on the Israelites versus the Egyptians. The 3 alludes to the division of the third dimension (of the luchot) resulting in a measurement of 3 handbreadths. The 3 distinctions of course involve 2 parties (like the 2 luchot): once in the swarm plague (2), once in the epidemic plague (2), and once in the plague of hail (2) (a total of 3 times).

Of course, there were two luchot, and each one was 3 handbreadths in the third dimension. If these numbers and sets of numbers are a shadow of the blueprint, and the mathematic or geometric Signature of the Architect is not just an "illusion" in the text, then we should expect to find this "distinction" (division) another 3 times in the text, corresponding to the measure of the other tablet. 

Indeed we do. In 6:17, Gershon has 2 sons, in 6:19, Merari has 2 sons, and in 6:20, Amram has 2 sons. We have 3 more twos and if we combine them with the 3 mentions of a “distinction” made above, between the Israelites and the Egyptians, we have 6 twos that are also distinctly 3 opposite 3, like the dimension of the luchot that was divided in two (6 handbreadths that became 3 handbreadths). The end result was 6 x 6 x 3 (cubic handbreadths) opposite the 6 x 6 x 3 on the other tablet. If we add these 6, to the 6 x 6 (found in the 12 twos above) we get the full measure for the combined cubic form of the luchot in all three dimensions (6 x 6 x 6 = 216) and the measure of the luchot for each half after division (6 x 6 x 3 times 2), both of course reflecting the number of letters in God’s Explicit Name. Together with the 12 twos from above, and the 6 twos here, we have 18 mentions of 2, or 18 mathematic allusions to the 2 luchot (cosmic blueprint) that gives life (חַי), a word which has a gematria of 18. When you divide the number 18 by 3, you get 6. The three 6s allude to the measure of the cubic form of the luchot which were 6 x 6 x 6 (or 216). However the three 6s (in 18) are 6 + 6 + 6 (the gematria of the word life) so it alludes not only to the measure of the luchot, but the fact that the luchot bring life to those who follow the precepts advanced in Torah. There are a few other mathematic relationships worth mentioning: 18 twos (218 = 36) or one 6th of 216; 36 is also the number of elements in a triangular matrix of 8 and subsequently the number of lights kindled on Chanukah; 18 + 2 = 20 which is the number of commandments on both the first and second sets of luchot.

In addition to the above, the number that most frequently alludes to the royal seal (magen david) whether its in one, two or three dimensions, is the number 7. We find unusual patterns of 7 in this weeks parashah as well. In 7:25, it says, “Seven days were completed” (the time allotted for the first plague was 7 days). This is the number that defines calendar related halachah, which in its simplest form is represented by cycles of 7 (days/weeks/years).

The tradition says that each plague lasted for 7 days, and there are 7 plagues mentioned in this week’s parashah. Thus 7 plagues times the 7 days means that the plagues in this week’s parashah lasted for 7 x 7 or 49 days. The number 49 precedes "the next" level in the matrix of 7 in calendar related halachah.

In the physics of the universe, we have time and space. So naturally, in addition to the measure of "time" (mentioned above) we have the measure of "space," (that we will mention below) where it is expressed in 7:28, as the 7 "places" where the frogs would go:

1) your palace;
2) your bedroom;
3) your bed;
4) the house of your servants;
5) the house of your people;
6) into your ovens; and
7) your kneading bowls.

The end result is 7 plagues, times 7 days, times 7 places. Three 7s, as in the 7 x 7 x 7 of a cubic matrix with internal "spaces" numbering 216 (BeHar & BeChuko-thai) or as the three 7s in a triangular or tetrahedral matrix of 7 (Miketz). These numbers and sets of numbers are seen repeatedly throughout Torah and allude to various aspects of the blueprint that correspond to time and space (in other words it is not just an allusion to calendar related halachah). However, in order to reinforce the significance of the three 7s, we have 3 more "places" (7:29) in (the three dimensions of) "space" where the frogs will go:

1) [to] you;
2) [to] your people; and
3) [to] all your servants.

These 3 dimensions of space are also found as a reflection of the 10 sefirot which are divided into 3 (in the higher dimension) and 7 (in the lower dimension) corresponding to physical (space). This is where halachah starts. We connect the 7 to the 3 (the combination being 10in the word for “kneading bowls,” which is a rare 10 letter word. The soul is "rectified" in the “kneading bowl” of life, where day-to-day pressure (and observance of 10 commandments) takes its toll. The bottom line is that each facet of reality is found in the blueprint.

There are some additional allusions in this parashah that are a more direct reflection of the Explicit Name. In 7:2, 9, for example, there is the word for “shall speak (יְדַבֵּר) which has a gematria of 216. It's as if to say: "God will speak." It is talking about Aaron, as it was in last week’s parashah. However, the implication is that the words Aaron "spoke" were from God. The word for "shall speak" is mentioned 3 times (twice here and once in last week’s Parashah) further alluding to the triad nature of the 216 letters in the Name.

As seen in the post on Shemoth, the word for the (Nile) River (הַיְאֹר) also has a gematria of 216. That word is mentioned again in this week’s parashah 9 times2. This is like the geometry of the plagues seen in the post on VaEra & Bo on the Sapphire Magen David blog. The 10th plague which corresponds to the upside down triangle in the middle is really the stellation from the opposing tetrahedron. It was markedly different than the rest (you can see that post for an explanation). Here, in this week’s parashah that deals with the bulk of the plagues, we have the 216 a total of 9 times. The 9 (a number that is mathematically factored as 3, 3, and 3) alludes to the Explicit Name that (after permutation) is written as 9 triplets on 8 lines, and it is found in the geometric nature of the 9 triangular corners on the 8 large faces of a star tetrahedron. Geometrically, "the 9s" are always found as "3 within 3 within 3" like the pattern of triplets found in fractal geometry. The structure of the Menorah (as depicted by the RamBam) should come to mind. The number 216 taken to the 9th power is a number with 22 places, 22 being a number that best describes the nature of the luchot having a volumetric measure of 216 cubic handbreadths. 22 is also the number of prime letters that flowed from the sapphire cube that are the building blocks of the universe; there were 22 distinct acts of creation on the first 6 days; there are 22 Books of Tanach (see footnote for count3); and there were 22 heads of mankind from Adam to Yaacov. 


On the subject of 22 or 2 and 2, to see God’s active Hand in daily life, it is worth pointing out the following. It is no coincidence that in this week’s Parashah there is the 2nd plague of Frogs, and this week also just happens to be the week in where the only 2 times “frogs” are mentioned throughout the entire 6 Sedarim of Mishnah (with 64 Tractates, 525 chapters, and 4,192 mishnahs) was learned this week in the yearly cycle of 12 mishnahs a day. The 2 times frogs are mentioned in the Mishnah is in the Tractate Tohoros, in 5:1 and 5:4 (and are each the 2nd word like they were the 2nd plague), hinting to the 5 opposite 5 constructs found within the combined cubic form of the 2 luchot, where 1 construct is different from the other 4. That 1 construct with 4 faces (the tetrahedron) of course combines with its polar opposite (like the 5 opposite 5 commandments on the 2 luchot), and when the 2 merge, they create the star tetrahedron with its 216 elements that correspond to the letters in God’s Explicit Name. God’s active Hand in daily events is thus realized. Take the time to contemplate this. 


We see the above reflection of 9 again when Pharaoh’s heart is hardened. The word כָּבֵד – “hard” has a gematria of 26, the same as the Tetragrammaton. How many times is it mentioned? It is mentioned (just as many times as 216 was above) specifically 9 times4. If you're familiar with fractal geometry, the pattern is like the second iteration of the Sierpinski Gasket (seen below), where the 4 additional triangles are created by default in the blank space between the other 9 primary triangles, like the 4 letters of the Tetragrammaton that have a gematria of 26, which is also the gematria of כָּבֵד that is mentioned 9 times in this weeks parashah. The number 26 taken to the 9th power, is a number with 13 places, alluding to the One (אֶחָד) with a gematria of 13 (as mentioned previously in our contrast of Moshe and Aaron). It is the One God Who made all this possible.


The Fractal Below is Shown to the 7th Iteration
(The Sierpinski Gasket)




There is another word used to connote Pharaoh not listening. It is the word חָזַק meaning “strong” or “strengthened,” as in Pharaoh “strengthened his heart” and wouldn’t send out the Israelites. This word is mentioned 5 times in this week’s parashah (7:13, 22, 8:15, 9:12, 35). This is like the 5 "upper plagues" (as opposed to the 5 "lower plagues"). Where are the other 5? We'll see their counterparts in next week's parashah and we'll also see how they connect (because VaEra and Bo together, both deal with the 10 plagues).

In last week's parashah (Shemoth) the staff (mateh) played a prominent role. Just as there was specific mention of it in last week's parashah, so too there is specific mention of it in this week's parashah. Mention of the word mateh is found in 3 groups (mentioned 4 times in each) which hints to the triad nature of God’s Explicit Name by virtue of each group's gematria. In 7:9, 10, 12, it is mentioned in connection with turning the staff into a snake and back, in front of Pharaoh. The word "mateh" you'll remember has a gematria of 54. The 4 times the word is mentioned in the first group is thus: 4 x 54 or 216, the same number of letters found in God’s Explicit Name. In 7:15, 17, 19, 20 the staff is mentioned in connection with the plague of blood. Here again, in this group, the word is mentioned 4 times and the total is again 216. Then in 8:1, 12, 13, & 9:23, the staff is mentioned in connection with the plagues of frogs, lice, and hail, respectively. Once again the word is mentioned 4 times: 4 x 54  = 216. By now, there should be no need to elaborate on the significance.

In this week’s parashah, Moshe tells Pharaoh, “Send out my people so that they may serve Me.” This phrase is made up of 3 Hebrew words and it is mentioned 5 times in this week’s parashah and once in next week’s parashah (a total of 6 times) in connection with the plagues5. The 6 times it is mentioned are like the six 3s found in each quadrant of the combined cubic form of the luchot, a mathematic division of all three dimensions (see the post on VaYeshev). The marriage between the quadrants results in the three measures of 6 that define the dimensions of the luchot (6 x 6 x 6 = 216) cubic handbreadths.

Throughout many of the plagues, the word “tomorrow” (מָחָר) is used. It has a gematria of 248, like the number of limbs in the body and the number of positive commandments. It's the same numeric progression that was discussed in the post on VaYechi. Here, it is mentioned 5 times (and once more in next week’s parashah) for a total of 6 times, each time in connection with the plagues6. The 6 times it is mentioned hints to the fact that if you were to divide the cubic form of the luchot in 2, there would be 4 quadrants (opposite their counterparts in the other half) where the division in all three dimensions results in 8 quadrants, but here each dimension is measured by 6 handbreadths and the overall dimensions are still 6 (x 6 x 6). It is also like the 2 primary abbreviations that are married together during 4 bows, with a total of 8 letters.

In 7:11, Pharaoh summons his sorcerers who are able to do wondrous feats similar to those of Moshe and Aaron. As a result, he refuses to accept that Moshe's message is from God, believing instead that it is an occult practice. Up until now, the sorcerers had been able to mimic the plagues, specifically of blood and frogs. However, when it came to the plague of lice, they were unable to do so, exclaiming in (7:15) that “It [was the] finger of God!” 

Who were these sorcerers? The chief sorcerer was Bilaam,  one of Pharaoh’s 3 advisors (seen in the post on Shemoth). He was the one who advised Pharaoh to kill the male Israelites right before Moshe was born. In the incident where Moshe received his speech impediment, Bilaam actually advised Pharoah to kill Moshe immediately (while he was still a child) and before he could grow up, and cause problems for Pharaoh. When Moshe became a man, he heard what  Bilaam tried to do. So Moshe sought to eliminate Bilaam lest he engage in more treachery. When Bilaam learned of this, he fled to Egypt and headed for Cush. There, he outsmarted the king of Cush, engineered a coup and became the king himself. Interestingly enough, when Moshe fled to Cush after killing the Egyptian, he was able to successfully conquer the city and the people made him king instead. When this happened, Bilaam was forced to flee, and returned with his family to Egypt. Many years later, when Moshe returns to Egypt to free his people, he is opposed by Pharaoh’s sorcerers, one of which turns out to be Bilaam. Bilaam is assisted by his 2 sons, Jannes and Jambres, and another 8 sorcerers who were Bilaam’s brothers.

There is actually a great deal more, including how sorcery came to be part of this family's legacy, but it is beyond the scope of this post. It is sufficient at this point, to understand that Moshe and Aaron are themselves a physical manifestation of the blueprint (luchot). The polar opposite (male-female) nature of creation, and the universe, that is a part of the divided nature of the blueprint, includes righteousness, but it requires an opposite (as explained in the post on VaYechi) and so standing opposite Moshe and Aaron (who were a physical manifestation of the luchot as previously mentioned) were the sorcerers: Bilaam, like the 1 sapphire cube or 1 star tetrahedron, his 2 sons, Jannes and Jambres, like the 2 luchot or 2 tetrahedrons in the star, and Bilaam’s 8 brothers, like the 8 points on the star (three-dimensional magen david) that are themselves a geometric reflection of the 8 letters in the primary abbreviations, seen also in the 8 corresponding quadrants of the luchot when divided in all three dimensions (mentioned above). The dynamics are all the same (where the star tetrahedron is an internal reflection within the combined cubic form of the luchot) and so the events below repeatedly mirror the mathematic imperative in the blueprint (or plan). This is why the reflection is always so mathematically precise. It's also why various numeric progressions have significance, like the progression of numbers in the luchot seen above (in regard to מָחָרand also in VaYechi.

Interestingly enough, the gematria of Jannes and Jambres is 444, a number that equates to half the luchot in the 444 matrix(s) of 7 x 7 x 7 that can be made from the 304,800 letters of the Torah that correspond to the universe in male-female form. It also alludes to the letters of the three primary abbreviations of 4 letters, and is perhaps the missing 4 in the progression (above) (1-2-4-8).

Among the names of the sorcerers there are what amount to corruptions or incomplete allusions to God’s Explicit Name with 216 letters. Bilaam son of Be’or, has a gematria 472, and obviously, 4 x 72216 (too much). If we take the words separately, an alternate gematria for Bilaam is 702, son of = 702, and Be’or = 272. In 702 the reflection of 72 is tarnished with 0 (the end result of all of Bilaams plots). In 272, it is incomplete because the 2 is not 3. Neither 702 or 272 reflects the correct geometry: 2 x 72216 (too little) and 0 x 72 ≠ 216 and even when added together they fall short of the mark. No matter how the numbers are assembled: 72 + 72 + 2 x 72 or 4 x 72216 (too much), the letters of their names cannot reflect the light of 216. His son Jannes's name is gematria 126, which is a corruption or twisted permutation of the number 216. Jannes and Jambres together have a gematria of 444 (the same gematria as frogs by the way) and 444 is half of the luchot equation mentioned above corresponding to evil (versus good) in the 888 Matrices of 7 x 7 x 7 in the letters of Torah. They were able to mimic the plague of frogs, but 444 ≠ 2 x 216 (too much). Jannes and Jambres were also known as the Raven and the Wolf and are killed in Judges 7:25. Raven (Jannes) is gematria 272, or again 2 x 72216 (too little; missing the third). You may have noticed that we added Be’or and Raven without their vavs. But 2 missing vavs are again 6 x 6 ≠ 216 (too little; missing the third). Bilaam’s brothers were the other sorcerers and “brothers” is gematria 25, which ≠ 26, the gematria of the Tetragrammaton. As the sorcerers were all on the side of wickedness, they could not in any way hold or transmit the light of God’s Name or its abbreviations.

There are many missing letters in this week’s Parashah, and because they are missing, the Signature of the Architect is hidden to the casual observer. This is similar to what we saw in the post on Shemoth with the missing letters. The missing letters are (again) the same as those that make up the Tetragrammaton (yud, heh, and vav).

In 7:12, the word “serpents” is missing a yud. In 8:10, the 2 words “heaps” are each missing a yud. In 8:12, the word “lice” is missing a yud. In 8:15, the word “the sorcerers” is missing a yud, as is the word “on the sorcerers” in 9:11, also missing a yud. Thus there are 6 yuds missing in this week’s Parashah. Yud is gematria 10, and the 6 times they are missing in this week’s parashah is 
(10 x 6 =60. Each angle on each triangular face of a star tetrahedron is 60 degrees. There happen to be 72 of these angles (3 on 24 small faces) on a star tetrahedron (216 when taken to the 4th dimension). The number 60 is also the internal measurements of the Holy of Holies in handbreadths where the total volume was 60 x 60 x 60 or 216,000 cubic handbreadths (see the post on VaYakhel). All of these numbers are significant and we would hope that at some point in time the Signature of the Architect would become rather obvious, even to those who not mathematically inclined. 

In addition to all of the above, the number 60 is of course the number of seconds in a minute and the number of minutes in an hour. It is used extensively in establishing coordinates for any location on earth (arc minutes and arc seconds of latitude and longitude as demonstrated in the post on Metzora). Today, it is an integral part of our modern GPS navigation system. The number 60 is also the number of hin in a circle and the basis of the sexagesimal system of measurement (see the post on BeHar and BeChukothai).

In 7:22, 8:3, 14, there are 3 hehs (ה) missing in the “incantations” of Pharaoh’s sorcerers. Heh is gematria 5 and the 3 times it is missing is (3 x 5 =) 15 or the gematria of Yud – Heh, another of God’s Names. In this week’s parashah, we have 3 missing hehs and 6 missing yuds, like the measure of the combined cubic form of the luchot defined by three 6s: 6 x 6 x 6 = 216, all alluding to the number of letters in God’s Explicit Name.

There are also missing vavs in this week’s parashah as well. In 6:4, God says, I “established” My covenant, which is missing a vav. In 6:6 the word “burdens” is missing a vav, and the word “great” is missing a vav. The vav has a gematria of 6. The three missing vavs with a gematria of 6 is identical to the reflection we just saw above, and the three 6s again allude to the measure of the luchot and the letters of the Name: 6 x 6 x 6 = 216. Now we jump ahead to 7:3, where the word “My signs” is missing 2 vavs and immediately after, in 7:4 the word “great” is missing a vav. Together they represent another three 6s: 6 x 6 x 6 = 216. Jumping ahead again to 7:24, the word “roundabout” is missing a vav, as is the word “to drink.” In 8:9 the word “the courtyards” is missing a vav, as is the word “the fields,” and this is followed in 8:19 by the word “distinction,” which is also missing a vav, as is the word “sign.” Each set of three missing vavs is specifically grouped together, and even more specifically as two groups in 3 verses. This is another aspect of the twin nature of the luchot (6 x 6 x 6 divided in two = two times 6 x 6 x 3) and as seen in the post on VaYera with 3 twos. Since the vav has a gematria of 6, the above verses breakdown into "three 6s or 6 x 6 x 6 = 216" opposite the other "three 6s or 6 x 6 x 6 = 216." Considering that the luchot, with these same dimensions were brought down twice, this should not be surprising. However, the pattern continues to repeat itself because the flow of "letters" to the people is ongoing (over 6 days or 6,000 years). In 9:23, the word “sounds” is missing 2 vavs and the word “the sounds” in 9:33 is also missing a vav. Together we have another group of three 6s or 6 x 6 x 6 = 216. In 9:28 the word “sounds” is again missing 2 vavs, as is the word “sounds” in 9:29 missing a vav, so again we have 6 x 6 x 6 = 216. Jumping ahead to 9:32, the word for “ripen later” is missing a vav and in 9:34, the word for “and the sounds” is missing 2 vavs and so we again have 6 x 6 x 6 = 216.

It is nearly impossible to attribute something like this to coincidence. However, when you count the total number of vavs (with a gematria of 6) that are missing, you'll get 21. The prime factors of 21 are three 7s (3 x 7 = 21) which brings us back to the three 7s that define the measure of time in cycles of 7, and the tetrahedral matrix of 7 with 216 components. Moreover, the 21 vavs missing in this week’s parashah allude to the gematria of Ekeyeh (the unification of the abbreviations) which is 21, the "Name" that was used to perform the Exodus (see the post on Shemoth for details). The 21 times a vav is missing is mathematically 21 x 6 or 126, a numeric permutation of 216, the number found in the gematria of one of the sorcerers who opposed Moshe. Either way, when you put the numbers side by side, you get 21 & 6 or 216.

There are so many context significant places where the Signature of the Architect is hidden throughout this week’s parashah, that it is impossible to ignore. One only needs the tools to see it. 

The interconnected nature of the letters in the Name and its abbreviations, with the physical properties of the luchot, and its internal geometry, with the events that define the history of man, is the creative chemistry that gives rise to what can only be described as mathematic poetry in motion. 


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Footnote 1 – In 6:13, 20, 26, 27, 7:6, 8, 10, 20, 8:4, 8, 21, 9:8, 27.

Footnote 2 – In 7:15, 18, 18, 21, 21, 24, 24, 25, 28.

Footnote 3 – The count of 22 Books of Tanach is formed if viewed from the following vantage point: The 12 minor prophets are all counted as 1 book; Shmuel, Kings, and Chronicles are counted as 1 book each; Ezra and Nehemiah are counted as 1 book; Ruth and Judges are counted as 1 book, as Ruth happens in the time of Judges; and Lamentations and Jeremiah are counted as 1 book, as Lamentations is just the description of the book that Jehoiakim burnt in Yeremiah's presence, and was subsequently rewritten by Yeremiah (see Jeremiah chapter 36).

Footnote 4 – In 7:14, 8:11, 20, 28, 9:3, 7, 18, 24, 34.

Footnote 5 – In 7:16, 26, 8:16, 9:1, 13, & 10:4 – in Bo.

Footnote 6 – In 8:6, 19, 25, 9:5, 18, & 10:4 – in Bo.



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