The mathmatical relationship between God, Metatron and Enoch in the Hypercube

Metatron
by Ilil Arbel, Ph.D.

The myths of Metatron are extremely complicated, and at least two separate versions exist. The first version states he came into being when God created the world, and immediately assumed his many responsibilities. The second claims that he was first a human named Enoch, a pious, good man who had ascended to Heaven a few times, and eventually was transformed into a fiery angel. Some later books adopt the first version, some the second, and in other literature both are combined. There are even two versions of the name Metatron, one spelled with seven letters, the other with six, lacking the Hebrew letter "yod." The Kabbalists explained that the six-letter name represents the Enoch-related Metatron, while the seven-letter name refers to the primordial Metatron. Despite the elaborate debate, the origin of Metatron's name is not clear. Many attempts have been made to explain it, but none of them is satisfactory, since the word has no real meaning or root in any language. Some authors think it may be derived from private meditations and visions, or even glossolalia. This article concentrates on the Metatron-Enoch version

Metatron is one of the most important angels in the heavenly hierarchy. He is a member of a special group that is permitted to look at God's countenance, an honor most angels do not share. In the literature, Metatron is often referred to as "the Prince of the Countenance."

In the Babylonian Talmud, Metatron is mentioned only three times, but the references are important. All three relate to the problem of Metatron's immense power, which may have caused some people to confuse him with God. In later literature he was even mentioned as the "lesser Yahweh" -- a serious blasphemy for the strictly Monotheistic Judaism. Later, some authors tried to resolve the issue by showing how the Hebrew letters of the name of a mythical predecessor, the angel Yahoel (later to be entirely identified with Metatron), were the same letters as those in the name of Yahweh. Another legend states that God himself named him so, out of affection. A fascinating legend tells of a particularly interesting and famous Jewish heretic, Elisha ben Avuyah, who saw Metatron sitting by God's side, occupying the same type of throne. This made Elisha suspect that two equal powers operated in the universe -- God and Metatron. The legend continues to explain that he made a false assumption, which indeed cost Elisha his position within the Jewish community. According to these scholars, God permitted Metatron to sit because, as God's scribe, he recorded the good deeds of the Nation of Israel. This story works very well with two of Metatron's many heavenly tasks: a scribe and an advocate, defending the Nation of Israel in the heavenly court.

Enoch, a pious teacher, scribe and leader of his people, is famed for the part he took in the tragedy of the fallen angels (see Watchers). Living during a time of great sins, around the flood, he had visited Heaven more than once. However, the time was ripe for a most significant trip. One night, two angels woke him up and commanded him to prepare for his journey. They took him on their wings, and showed him all the Heavens and their inhabitants, including a side trip to Paradise and to the place of punishment and torture of the sinners, which strangely enough was located not too far from paradise. He observed the activity of the sun and the moon, and made a visit of consolation to rebellious angels, the Grigori, succeeding in bringing them closer to God. After the tour, the great Angels Gabriel and Michael lead him straight to God's Throne.

Sitting next to God, Enoch was instructed in wisdom, and using his skills as a scribe, prepared three hundred and sixty-six books. When he learned everything, a most significant thing happened. God revealed to him great secrets -- some of which are even kept secret from the angels! These included the secrets of Creation, the duration of time the world will survive, and what will happen after its demise. At the end of these discussions, Enoch returned to earth for a limited time, to instruct everyone, including his sons, in all he learned. After thirty days, the angels returned him to Heaven.

And then the divine transformation took place. Additional wisdom and spiritual qualities caused Enoch's height and breadth to become equal to the height and breadth of the earth. God attached thirty-six wings to his body, and gave him three hundred and sixty-five eyes, each as bright as the sun. His body turned into celestial fire -- flesh, veins, bones, hair, all metamorphosed to glorious flame. Sparks emanated from him, and storms, whirlwind, and thunder encircled his form. The angels dressed him in magnificent garments, including a crown, and arranged his throne. A heavenly herald proclaimed that from then on his name would no longer be Enoch, but Metatron, and that all angels must obey him, as second only to God.




Metatrons cube or hypercube






Hypercubic relationships





Stan Romanek claims to have received information from supposed ETs that included equations and a hypercube:


 The first image seemed to be about element 115, the UFO propulsion component made popular by Bob Lazar. Another part seemed to be Drake's equation, which estimates intelligent life in the Universe.

Two of the graphics, including the hypercube, seemed to show the Orion constellation upside down, as it appears in the Southern hemisphere. Orion is shown on the surface of the outer cube. Our solar system is shown on the surface of the inner cube. A worm hole seems to project from a star in Orion's belt to the planet Earth. This would be the left-most star, as seen from the Northern hemisphere, Zeta Orionis.

A similar type of symbolic message has come to others:



Interestingly, the set of four small outer circles, along with the triangle of three small circles in the center, follow the general form of the two twelve-fold (4 x 3 and 3 x 4) formations discussed above.





Scholars note that the cube has 12 edges, and that the description given by Saint John in Revelation 21:15-17 indicate a cube:

And he who talked to me had a measuring rod of gold to measure the city and its gates and walls.

The city lies foursquare, its length the same as its breadth; and he measured the city with his rod, twelve thousand stadia; its length and breadth and height are equal.

He also measured its wall, a hundred and forty-four cubits by a man's measure, that is, an angel's.

The 12 "skyscraper buildings" of the Wayland Smithy formation, may figure as 12 cubic rectangles times 12 edges each, giving the ancient Gematrian number 144, meaning Light. Note also, above, that 144 cubits is the measure of the wall of the New Jerusalem.

So Metatron is Jehovah, Jr and Enoch becomes Metatron.

The Relationship of the 3 can be explained in the Tesseract:

In geometry, the tesseract, also called an 8-cell or regular octachoron, is the four-dimensional analog of the cube. The tesseract is to the cube as the cube is to the square. Just as the surface of the cube consists of 6 square faces, the hypersurface of the tesseract consists of 8 cubical cells. The tesseract is one of the six convex regular 4-polytopes.

A generalization of the cube to dimensions greater than three is called a “hypercube”, “n-cube” or “measure polytope”. The tesseract is the four-dimensional hypercube, or 4-cube.

According to the Oxford English Dictionary, the word tesseract was coined and first used in 1888 by Charles Howard Hinton in his book A New Era of Thought, from the Greek (“four rays”), referring to the four lines from each vertex to other vertices. Some people have called the same figure a “tetracube”, and also simply a "hypercube" (although a hypercube can be of any dimension).

Geometry

The tesseract can be constructed in a number of different ways. As a regular polytope with three cubes folded together around every edge, it has Schläfli symbol {4,3,3}. Constructed as a 4D hyperprism made of two parallel cubes, it can be named as a composite Schläfli symbol {4,3}x{ }. As a duoprism, a Cartesian product of two squares, it can be named by a composite Schläfli symbol {4}x{4}.

Since each vertex of a tesseract is adjacent to four edges, the vertex figure of the tesseract is a regular tetrahedron. The dual polytope of the tesseract is called the hexadecachoron, or 16-cell, with Schläfli symbol {3,3,4}.

The standard tesseract in Euclidean 4-space is given as the convex hull of the points (±1, ±1, ±1, ±1). That is, it consists of the points:

    \{(x_1,x_2,x_3,x_4) \in \mathbb R^4 \,:\, -1 \leq x_i \leq 1 \}.

A tesseract is bounded by eight hyperplanes (xi = ±1). Each pair of non-parallel hyperplanes intersects to form 24 square faces in a tesseract. Three cubes and three squares intersect at each edge. There are four cubes, six squares, and four edges meeting at every vertex. All in all, it consists of 8 cubes, 24 squares, 32 edges, and 16 vertices.

 Projections to 2 dimensions

The construction of a hypercube can be imagined the following way:

    * 1-dimensional: Two points A and B can be connected to a line, giving a new line AB.
    * 2-dimensional: Two parallel lines AB and CD can be connected to become a square, with the corners marked as ABCD.
    * 3-dimensional: Two parallel squares ABCD and EFGH can be connected to become a cube, with the corners marked as ABCDEFGH.
    * 4-dimensional: Two parallel cubes ABCDEFGH and IJKLMNOP can be connected to become a hypercube, with the corners marked as ABCDEFGHIJKLMNOP.

This structure is not easily imagined but it is possible to project tesseracts into three- or two-dimensional spaces. Furthermore, projections on the 2D-plane become more instructive by rearranging the positions of the projected vertices. In this fashion, one can obtain pictures that no longer reflect the spatial relationships within the tesseract, but which illustrate the connection structure of the vertices, such as in the following examples:
A tesseract is in principle obtained by combining two cubes. The scheme is similar to the construction of a cube from two squares: juxtapose two copies of the lower dimensional cube and connect the corresponding vertices. Each edge of a tesseract is of the same length. The vertices of the tesseract with respect to the distance along the edges, with respect to the bottom point. This view is of interest when using tesseracts as the basis for a network topology to link multiple processors in parallel computing: the distance between two nodes is at most 4 and there are many different paths to allow weight balancing.

Tesseracts are also bipartite graphs, just as a path, square, cube and tree are.

Projections to 3 dimensions
The cell-first parallel projection of the tesseract into 3-dimensional space has a cubical envelope. The nearest and farthest cells are projected onto the cube, and the remaining 6 cells are projected onto the 6 square faces of the cube.

The face-first parallel projection of the tesseract into 3-dimensional space has a cuboidal envelope. Two pairs of cells project to the upper and lower halves of this envelope, and the 4 remaining cells project to the side faces.

The edge-first parallel projection of the tesseract into 3-dimensional space has an envelope in the shape of a hexagonal prism. Six cells project onto rhombic prisms, which are laid out in the hexagonal prism in a way analogous to how the faces of the 3D cube project onto 6 rhombs in a hexagonal envelope under vertex-first projection. The two remaining cells project onto the prism bases.

The vertex-first parallel projection of the tesseract into 3-dimensional space has a rhombic dodecahedral envelope. There are exactly two ways of decomposing a rhombic dodecahedron into 4 congruent parallelepipeds, giving a total of 8 possible parallelepipeds. The images of the tesseract's cells under this projection are precisely these 8 parallelepipeds. This projection is also the one with maximal volume.

 Unfolding the tesseract

The tesseract can be unfolded into eight cubes, just as the cube can be unfolded into six squares (view animation). An unfolding of a polytope is called a net. There are 261 distinct nets of the tesseract.[1] The unfoldings of the tesseract can be counted by mapping the nets to paired trees (a tree together with a perfect matching in its complement).


Tesseract
8-cell
4-cube



A diagram showing how to create a tesseract from a point through dimension levels.



The rhombic dodecahedron forms the hull of the vertex-first projection of a tesseract to 3 dimensions.


A net of a tesseract.


A stereoscopic 3D projection of a tesseract.


A 3D projection of an 8-cell performing a simple rotation about a plane which bisects the figure from front-left to back-right and top to bottom.


sources:
http://www.pantheon.org/articles/m/metatron.html
http://www.greatdreams.com/crop/2006ccs/2006ccs.htm
http://en.wikipedia.org/wiki/Tesseract