VaEra and Bo will be combined
because they both deal with the plagues in Egypt. Within the sequence
of these plagues, as well as their character and the specific language
used to describe them, we find numbers and groups of numbers, or ratios,
that have a direct correlation with the mathematics and geometry of the
star tetrahedron, which of course casts a shadow known as a magen
david. In this portion of the Torah we see Moshe use the staff that he
pulled from the stone behind Yitro’s house to perform all kinds of
wonders. But before we get into that, we should review some of the
background information.
If
you are new to this blog and have not yet read the essential constructs
listed in the column to the right, please do so before proceeding. They
explain some of the basic connections between the letters of God's
Explicit Name and the multidimensional mathematic and 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. The purpose of this blog is to
show how they connect and to reveal where the Signature of the
Architect is hidden in each week’s parashah. Once you are familiar with
these constructs you can more fully appreciate each post.
In
the meantime, for those already familiar with the constructs mentioned
above, we'll continue with a small dissertation on Pharaoh, a man who
could be easily described as "the great pretender." People thought he
was “a god” and he did nothing to dispel that belief. In fact he
exacerbated it. The problem (for Pharaoh) was that "a real god" would
have no need of a bathroom. Only humans need such things! And so to
perpetuate the illusion that he was a god, Pharaoh had a secret toilet
installed in the palace. That way he could relieve himself without anyone being the wiser. The problem with Pharaoh's ingenious solution, was that a rather nasty odor would drift through the palace from time-to-time. To make matters even worse, a rat managed to make its way through the pipes one day and bit him on the lower posterior. All
facts considered, Pharaoh decided to have the toilet removed. However,
this created an even bigger problem, because now he would have to take
morning walks along the Nile in order to relieve himself. There among
the reeds he could do his business in private, without anyone noticing.
Or so he thought! What he didn’t count on was Moshe interrupting this
morning routine. God said to Moshe, “Go to Pharaoh in the morning. He goes out to the water. Stand where you will encounter him on the bank of the Nile.”
How embarrassing! You can imagine Pharaoh’s surprise when Moshe
interrupted his morning routine, caught him with his proverbial pants
down, and exposed him as a mere man. Oh the shame!
The important thing to note, is that the warning for the first plague (where the water was turned to blood) was given outside Pharaoh's palace near the river.
The
second plague was somewhat different. Moses went straight to Pharaoh's
house in order to deliver the warning. In the case of the frogs, God
said to Moshe “Come to Pharaoh [in his house]."
The
third plague was also different. There was no warning given at all. In
the case of this plague, God said to Moshe “Say to Aaron, ‘stretch forth your staff and strike the dust of the earth.’ It will turn to lice in all the land of Egypt,” so Pharaoh had no warning that this plague was coming!
The circumstances for each plague create a pattern. In the case of the first plague, the warning was given outside the palace; for the second plague the warning was given inside the palace; and for the third plague there was no warning given at all.
The
fourth, fifth and sixth plagues repeat this pattern. For the fourth
plague (which consisted of wild beasts) God said to Moshe “Get up early in the morning and place yourself before Pharaoh. He will go out to the water.” So Moshe met him outside
the palace. In the case of the fifth plague (the death of domestic
animals which provided the food supply for the Egyptians) God said to
Moshe “Come to Pharaoh [in his house]” and in the case of the sixth plague (boils) God instructed Moshe to “Take
a handful of ashes from the furnace and throw it up into the air... it
will settle like dust on... Egypt... when it falls on man or beast... it
will cause... boils.” As in the case of the lice, Pharaoh had no warning
that this plague was coming. In other words, these three plagues follow
the same pattern as the first three plagues where the first warning was
given outside the palace; the second warning was given inside the
palace; and for the third plague there was no warning given at all.
As
you might suspect, this pattern continues through the next set of three
plagues. The seventh plague was hail. God said to Moshe, “Get up early in the morning and stand before Pharaoh.”
By this time Pharaoh was starting to see a pattern too, and so he had
no intention of going to his regular place along the river. Instead he
chose a new place. It was a secret place. He told no one of its
location. Still, Moshe was there waiting for him. You can imagine
Pharaoh’s surprise. The point of all this is to show that the pattern
continues to repeat itself. The eighth plague was locusts. God said to
Moshe “Come to Pharaoh [in his house].” The ninth plague was the
same as the third in the previous two sets, in that no warning was given
at all. God said to Moshe “Stretch out your hand on the sky and there was total darkness.” In this third set of three plagues, we see the same as in the previous two sets. First, Pharaoh is approached outside the palace. Second, he is confronted inside the palace, and then finally, for the third plague in the set, no warning is given.
We have 3 sets of 3 plagues that follow a pattern:
- a warning outside the palace;
- a warning inside the palace; and
- no warning at all.
The Triangular Matrix of the First 9 Plagues
1st Plague 2nd plague 3rd plague
Blood Frogs Lice
Warning Outside Warning Inside No warning
4th Plague 5th Plague 6th Plague
Wild Beasts Domestic Animals Boils
Warning Outside Warning Inside No warning
7th Plague 8th Plague 9th Plague
Hail Locusts Darkness
Warning Outside Warning Inside No warning
Interesting
pattern! It was interesting enough for Rabbi Yehuda Lowe of Prague (the
Maharal) to make note. The Maharal was one of the most mathematically
inclined rabbis in history (although we won’t go into specifics).
You
might think this pattern would end after the ninth plague, but in fact
it continues. We read in the text pertaining to this plague (which is
at the end of these 3 sets of 3 plagues) that it would “last for 3 days,” and that “no one left his place for 3 days”
(notice these references are specific references to "time and space" (3
are related to time and 3 are related to space). The mention of the
number 3 twice in succession is like the geometry of a two-dimensional
magen david, however the 3 sets of 3 plagues expand this similarity.
There are a total of four 3s found in these particular events, which are characteristic of a star tetrahedron (which has four pairs of opposing faces with 3 corners). The geometry is ultimately characterized by 72 triangular corners that correspond to the ratio of the triplets, as they relate to the 216 letters in the Explicit Name (explained in posts like: Ki Thetze,
and Mattoth). However, the plagues did not end with the ninth, and the
worst was yet to come. Interestingly enough, the tenth plague had 3
components involving the death of the first born. This plague was
completely unique. Not only was it the most severe (because it resulted
in the death of all the first born in Egypt) but it was also the straw
that broke the camel’s back. It was this tenth plague that caused
Pharaoh to let Israel go! It was by this plague that: "Every first-born in Egypt [would] die..."
It is worth emphasizing at this point, that the purpose of this blog is not
to extol the aesthetic virtue of geometry, or polyhedrons, or any other
geometric object including the star tetrahedron. Its purpose is to
allow the individual to peer ever so slightly past the superficial
curtain that masks reality, to see the inner workings of the Architect.
It is His Name, behind the scenes, that is the focus of this blog. This
Name has a unique Signature that is easy to see in the mathematic
properties of each set of plagues, and those properties reflect the
geometry of the royal seal (star tetrahedron) where the numbers and sets
of numbers conform to the nature of the letters in God’s Explicit Name.
The magen david or shield of David, was not some image that looks like a
six pointed star. David's shield was God, and God has a Name. The image
of the six pointed star is merely a mathematic representation of this
Name. We find the Signature, not only throughout Torah, but all of
creation as well, including such things as physics; celestial dynamics;
biology; quantum mechanics; and the history of man, both secular and
biblical, to name a few.
Fractal geometry is now being used by
scientists to define nature (as mentioned in the last post) and that
geometry finds a natural partner in triad structures like 'the
monsters,' or the Koch curve for those familiar with such things. In the
last post we talked about one face of the star tetrahedron and how,
when it was paired with its opposite, it created a two-dimensional magen
david, that could be seen as an orthographic projection of its
geometry. We also pointed out, that one of the iterations in a fractal
transform was 2.16 (1/100 of the number of letters in the Triad Name).
Now, in this parashah, we see this same pattern appearing in the
characteristics of the plagues.
Sets of Numbers that Define Plague “Geometry”
Matching the Two-Dimensional Face of a Star Tetrahedron and the
Three-Dimensional Opposing Stellation (in the Middle)
Click to Enlarge
The
sets of numbers corresponding to the plague are a clear reflection of a
two-dimensional face (shown above) and its 3-dimensional counterpart
(shown below) on a tetrahedron that has been merged with an opposing
tetrahedron (and again this is one of 5 constructs having dual form
found within the combined cubic form of the luchot).
Notice
that each face is divided into thirds, leaving a center portion. The
center is actually the stellation of the opposing tetrahedron. The
picture above is a two-dimensional representation of one face on one
tetrahedron. When two tetrahedrons merge together in opposing
directions, each triangular face ends up with 3 quadrants having 3
corners (small faces) that are themselves triangles. The sides are each
half the length of the original and the triangle in the middle is
pointed in the opposing direction. This upside-down triangle is not a
face. It is the stellation (or point) on the opposing tetrahedron, that
also happens to have 3 faces. However, these 3 faces are in the third
dimension. The 3 triangular faces each have 3 corners and the direction
of any given corner on any given faces corresponds to its counterpart on
the other faces. In other words we see a distinct pattern, one that is
identical to the pattern of numbers and sets of numbers describing the
plagues. The ratio and geometry of each face corresponds to the 3 sets
of 3 plagues with 3 types of warnings. The magen david (in three
dimensions) is like a mathematic map of the events that were destined to
occur at a specific moment in time. But surely all of this must be a
coincidence, and what about the point/stellation in the middle, the
center triangle?
We've already mentioned the tenth plague. It
was unique, more severe than all the others. The Torah says of this
plague, that it effected every firstborn in Egypt, but then specifies
who the word “every” pertains to: 1) “the first born of Pharaoh;” 2) "the first born of the slave-girl;" and 3) “the first born of the animals.”
There are 3 specific references as to which of the firstborn were
affected, just as there are 3 corners to the center triangle (which
define the 3 faces on the stellation of the opposing tetrahedron in the
3rd dimension). As the tenth plague was unique, so too is the center
“triangle” or stellation. Not only is it in the center of the other
three, and not only does it point in the opposite direction, but its 3
faces are in the third dimension.
Three-Dimensional Projection of Plague Geometry
Conforming to the Geometry of a Star Tetrahedron
(Demonstrating the Connection to the Signature of the Architect)
Click to Enlarge
.jpg)
The
parallel between the numbers, or really groups of numbers and their
ratio, one to another, on the face of the star tetrahedron as it relates
to the characteristics of the events in Egypt is remarkable. The odds
of this being a coincidence is beyond calculation. We say that since all
things come from God, there is no such thing as a coincidence. Even the
word for coincidence in Hebrew means essentially that it was written
from the beginning.
This
is just one example. When we peer through the prism of the magen david
(looking at these events in terms of the mathematics of the star
tetrahedron, or reflection of the 216 letters of the Triad Name) we can
see, that much more clearly, the Signature of the Architect who planned
it all from the very beginning. All of this is found in the internal
geometry of the combined cubic form of the luchot, the “cosmic
blueprint” from which the 304,805 letters (of Torah) emerge.
If
the nations learn anything from these events concerning the plagues, it
should be that it is impossible to thwart God’s plan. Any attempt to do
so will only exacerbate the pre-existing problems facing any given
nation. The perfect example is found in Pharaoh’s attempt to kill the
first born, by which he ended up raising Moshe (his nemesis) in his own
household.
Another prime example (that has yet to occur) is that
God has already defined the future borders of Israel. They are
specified in great detail. These borders are an inheritance. Any nation
or group of nations that tries to deny Israel this inheritance should be
as concerned for their well being as Pharaoh should have been for his
own, and perhaps more so, since the track record of those who oppose
God's plan is so clearly fraught with destruction.
There is
another interesting connection to the luchot (and thus to God’s Name in
their volumetric measure) in this portion of the Torah. The measure of
the luchot was 6 x 6 x 6.
This measure is also found in the description of Egypt’s borders, where
the plagues actually had an ancillary benefit. For many years prior to
the plagues, there were border skirmishes between Egypt and its
neighbors. That is, there were arguments as to the exact location of the
borders. The plagues settled the issue once and for all. Whenever there
was a plague, like the blood in the rivers, lice in the ground, or hail
from the sky, that plague would end abruptly at the border. The border
therefore became officially defined in the minds of everyone concerned,
and arguments as to its location were settled once and for all.
In
addition, the Egyptians were consummate mathematicians and surveyors as
evidenced by the amazing math and geometry built into the pyramids. In
their construction we see the measure of a Royal (or Antediluvian)
Cubit; the Meter; Pi; Phi; and any number of other standards.
Interestingly enough, even the speed of light is found in the
measurements of one of these monoliths (an explanation is beyond the
scope of this post). The word for Egypt in Hebrew is Mitzrayim. The root
letters of the first two syllables are the Hebrew letters “Mem" and “Resh" (M and R).
The Egyptians used a triangle known as MR in their measurements and
this is why they were so accurate in their surveys of the land. The name
for Egypt (MitzRayim)
is not only the name of a specific individual who gave rise to the
kingdom, but this individual's knowledge of mathematics and geometry and
the triangle MR was derived from his name.
The
point of all this is to say that when the Egyptians surveyed the
borders after the plagues, and the land of Egypt was said to be 600 miles square (6 hundred x 6 hundred)1.
We cannot be absolutely sure what this means, but even on modern maps
it is roughly square. The southern and western borders are almost
perfectly straight and the corner between the two is essentially a
perfect 90 degree angle.
In ancient times, the northern and Eastern Borders were apparently much the same. The description is interesting, both in terms
of the numbers and the shape. In Isaiah 19:19 reference is made to a
monument that is “on the border of Egypt” but also “in the midst thereof.”
How can something be on the border and yet in the middle at the same
time? Ancient Egypt was actually split into two kingdoms. There was a
northern kingdom and there was a southern kingdom. The monument lay in
the middle between the two, thus it was both on the border (of Egypt) “and in the midst thereof”
at the same time. When you divide a square in half, like a square of 6
hundred miles, you get two rectangular polygons that are each 6 hundred
by 3 hundred (the flattened two-dimensional ratio for each of the two
luchot). The 6 x 6 (hundred) “measure” for Egypt (with a border in the middle) dividing between the two kingdoms (halves) is like the first two dimensions of the luchot (6 x 6 hand-breadths) where the measure of each half in the third dimension is 3 hand-breadths. It’s as if the numbers and sets of numbers are alluding
to the fact that Israel would need to leave Egypt before they could
receive the luchot and return to the Land of Israel where their
knowledge of God, and their connection to God could rise to the next
level (a higher dimension).
The ratio of 6 hundred x 3 hundred times 2
kingdoms, is two-dimension-ally identical to the ratio of the shnei
luchot (2 tablets) that Israel would shortly be receiving at Sinai.
Whether there is a connection, or not, it is difficult to say. We only
note the similarity because when the ratio of the two-dimensional
version is extruded into the third dimension, it has the same ratio as
the luchot that were 6 hand-breadths x 6 hand-breadths x 3 hand-breadths, times 2, and where the total volumetric measure corresponds to the number of letters in God’s Explicit Name.
Mathematic Relationship Between the
Land of Egypt and the Shnei Luchot
(Two (Twin) Tablets)
Click to Enlarge
The
Signature of the Architect is indeed everywhere. Inside of Israel it is
much easier to see, just as something that is three-dimensional has
more facets than its two-dimensional counterpart, a mere shadow of
the original.
The names of the 3 portions of Torah leading up to
the point in time when Moshe and company see the undivided form of the
luchot (in Mishpatim) and its subsequent division when Moshe brings the
two tablets down, suggest that the luchot are about to be given, as well
as an understanding (revealing) of God’s Name. Last week's parashah
Shemoth (Exodus in English) means “Names” in Hebrew. VaEra means “I
revealed myself” and “Bo” means “come,” as if to say “when you leave
Egypt and come to Mt. Sinai I [will] reveal my Name to you.” In fact,
that's exactly what happens in the next post on Parashah BeShalach. It
is in that parashah that we find the 216
letters of His Name as a contiguous stream of letters in the text (not
permuted into triplets) but one-dimension-ally separated into 3 segments of 72
letters, corresponding to the side-by-side form of the luchot, that is 6
in the first dimension, 12 in the second and 3 in the third (6 x 12 = 72 times 3 = 216).
In other words, even though it is not (yet) permuted as is known (still
one-dimensional in form) its numbers or sets of numbers, and the ratio
between sets, preserves the triad structure in the 3 segments (the triad
nature is more accurately perceived in two or three dimensions) as a
function of the luchot's three dimensions.
Stay tuned for the next post which will be on BeShalach, where we will examine the implications in more detail.
________
Footnote 1 - It is interesting to note that the area of a 6 hundred mile square (360,000 square miles) is a multiple of 72 and in square feet, it is a multiple of 216 which would suggest this measurement has a connection not only to the Triad Havaya of 72 with 216 letters, but also to the imperial system of measurement. When you divide the 360,000 square miles by 72, the result is 5 hundred, which reflects a primary characteristic (in fact the primary characteristic) for the geometry in the combined cubic form of the luchot with its 5 internal mathematic constructs, one of which is the tetrahedron.
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