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4 is the Supreme Number of the Universe
Within Time Cube, the number four is very significant. It's significant on account of a geometrical principle that is known as the 4-corner-quadrant division.
Illustrated in the above image is the 4-corner-quadrant division. What we see is a circle within a square, as well as two perpendicular lines that divide the circle into 4 quadrants.
Now, notice that there is a correlation. The square has 4 right-angle corners, and the circle is divided into 4 right-angle quadrants.
It's a harmonic correlation. The 4 right-angle corners correspond to the 4 right-angle quadrants. It's a 4-corner-quadrant division.
But could such a harmonicity exist for other divisions? Could there be more harmonic divisions, that have different numbers of corners, and different numbers of radial sectors? Let's see:
No! None of those angles match up. Only the 4-corner-quadrant division is harmonic—it's unique, a unique harmonicity.
Now, let's refer back to the Principle of Opposites. There, we established that a line, and associated static duality, form the lowest level of existence. We established that rotation violates that first level, and that in doing so it enters the second level. To this second level, rotation is indeed the key.
And, moreover, rotation is the key to the 4-corner-quadrant division. That division has several lines and line-segments, which conform to existence's lowest level—the line. But, the 4-corner-quadrant division has also right-angles; which, being angles, are formed by rotation. Consider, finally, the circle; formed by spinning a radius around a centre-point—another example of rotation.
The 4-corner-quadrant division exists in the second level of existence. That second level is a flat plane—the flat plane is the minimum required for rotation to occur. You could also rotate out of the flat plane, or project points away from it, but then you would be increasing the established geometric complexity, thus progressing to the third level of existence.
However, shouldn't a circle be composed of infinite points? Shouldn't it be represented with infinite points? The answer is no—because the angle a circle encompasses is a finite angle of one full turn. So, with infinite points, infinite corners, infinite sides, or infinite angles, one would inevitably contravene that finite constraint. Only the 4-corner-quadrant division can represent the circle correctly.
Note, below, the relationship between the circle and the square:
Rotate that 4-corner square through those 4 quadrants, and a circle is inscribed within it. To do so, one requires only 4 corners, and 4 quadrants—no infinities are necessitated whatsover.
However, there is one question: how may we determine the square's alignment relative to the circle? The answer: we start with a point...
...and add in the other three corners of the square, above. This first point we have created is a primary point; the second point, opposite that first point, is an opposite point.
Now, this creation is occurring within the second level of existence. The second level of existence is derived from extension of the first. Requiring therefore to include the first level within it, so that it can avoid the collapse of the hierarchy of levels, we obligingly embed in the second level a prevailing linear duality, as per the Principle of Opposites. For the purpose of demonstration, we'll delineate this duality using the opposites "light" and "dark".
And thus, a static linear duality represents the presence of the first level of existence within the second level. Moreover, inside this linear static duality, the primary and opposite corners form extremes. That makes them major points. The other two, in between, located at the zero point on the linear duality—the very centre of that linear duality—are known themselves as minor corners; being not major they're, in contrast, minor.
Now, the 4-corner-quadrant division involves antipodes. The primary major corner and the opposite major corner are antipodes; the two minor corners are themselves antipodes. And the set of majors and the set of minors are, to each other, antipodes.
But unlike in the first level of existence, this is not a principle of static opposites. No; rather, it is a dynamic duality. Rotation occurs within it—a rotation that, insofar as it passes through the minor corners, and insofar as there is thus a cycle between the major corners, a cycle that never allows those two major corners to be reduced from opposites to a singularity—in that singularity is thus averted, existence—existence—is consequently maintained, kept real.
This established, proof proceeds:
From CASE 2, we take a line, and introduce rotation. The first level of existence is violated. The rotation requires a flat plane that it can occupy. Being one step beyond the first level of existence, the flat plane thus is the second level.
From CASE 6, we take a flat plane, and from CASE 2, four line segments that form a square.
From CASE 6, we take a flat plane, and from CASE 2, two perpendicular lines that divide the plane into four quadrants.
From CASE 7, we observe that the square has four right-angles (one for each corner), and from CASE 8, that the four quadrants similarly encompass four right-angles (one each). There is a harmonic correlation between these two sets of four right-angles. (We refer to this harmonicity as the "4-corner-quadrant division".) It is a unique harmonicity, unique to the second level of existence. It is thus fundamental to this level, and the supreme geometrical formation of this level.
From CASE 9, the 4-corner-quadrant division exists within the second level of existence. From CASE 6, this second level is derived from extension of the first, and must therefore include within it the first. From CASE 5, the principle of static linear opposites is inherent to existence's first level. This principle must therefore be included within the second level. We include it by separating the four quadrants into two groups of two adjoining quadrants, these two groups being separated by a single terminator line. With the square's corners oriented on the lines between the quadrants, the two corners on the terminator line become the minor corners—that is, the ones that represent the transition between the extremes. But the corners at the extremes of the duality are the major corners—they, however, are aligned with the direction of the duality.
(Note that while the number 4 has here been proven supreme within the second level of existence, it has not been proven here to be the supreme number of the universe. See article Time is Cubic, not Linear for the actual proof that 4 is the universe's supreme number.)
Q: The major corners are opposed to the minor corners, thus creating a principle of opposites; but is this really a principle of equal opposites? Don't the major corners take precedence over the minors?
This has to do with the dynamicity of the duality—that is to say, its rotational property. During rotation, the major corners rotate into the position of the minors, and the minors rotate into the major positions. The majors become minor, and the minors become major. This neutralises the imbalance, rendering the majors and minors equal opposites.
Each of the square's four corners can be taken to form the centre of a lesser square, like so:
This constitutes a fractalic division process, facilitating transitions from macro to micro.
We know from analysing the 4-corner-quadrant harmonicity, that a flat-plane grid-of-squares contains a balance. Evern intersection of horizontal and vertical lines, resembling a "+" sign, has its four outward 90-degree right-angles; and surrounding that "+" symbol, every square of sidelength 2 grid-units has its four inward right-angles. There is a balance.
A triangular grid doesn't possess that balance. Its internal angles of 120 degrees exceed its external angles of 60 degrees. It would spiral into an internalised collapsed singularity.
Another grid, however, might expand out to nonexistent infinity. And indeed, only the 4-corner-quadrant grid has a proper balance: thus "4" is proved supreme.
Divide past,present,future by 4. Rotate 4-corner scribes to create 4 squared circles. Education is 1 stupid corner. 4 is the supreme number of the universe. There is no 1 in 4-corner metamorphosis.
— Gene Ray, timecube.com