The Universal Square
As stated in the
explanations by numerical training for the Cross Language, three factors are basic in this
ordering:
① The direction of
the astrological order;
② The theoretical
numerical logic;
③ Musical rules
and scale criteria.
The text: ‘The Conception of the Cross’ (…) partly clarifies this resolution, briefly.
In order to
ascertain the structural harmony of the 144 numbers, the assembly of a square
of this order served as support. This is a procedure like that of the square of
the cross already used previously. In this case the square includes 144 numbers
obviously.
This explanation
refers to knowledge unprecedented notably. Many attempts have already been made
by this harmonic resolution, universal. Only by reference should be mentioned:
≪ “Quadrature of the circle means to
characterize both figures (Square and circle) with equivalent areas.”
"The universal
(cosmic) cube is a body with six equal square surfaces."
“So the square
as a symbol of matter considered from long ago, matches the origin of the world
perfectly.”
“If the contents of the circle still match the square, means that the spiritual force of Creation also circulates inside the cube of matter (Creation later).” (Definition
of Herbert Vollmann) ≫
The criterion
for this resolution is made by called the “magic square”, fundamentally. The
book called "Form High Magic" of the author P. V. Piob sheds light on
the subject. The book indicates procedures for assembling the squares. The
basis of the resolutions is in function of the arithmetical progressions. Even
employing the technique it's still difficult to set up a “magic square”. By definition and for use the author expresses the
following:
❝Overall any
resolution of a "Magic square"
means a numerical relationship, symbolically. For this kind of solution, then, it
is required some combination in advance, between whose numerical associations (Quantitative
and qualitative) consists of an identity. ❞
As an example of
this genre the author illustrates with the work: The Melancholy, by Albert
Dürel, which includes a “magic square”.
In view of the square of 144 numbers:
ⓐ For those Who know the inexorable
universal effect of the symbolism this would be the criterion.
ⓑ Resolution: 144 (12²) = 9 (3²) x 16 (4²)
ⓒ Mounting: integration
of two “Magic squares” (3² and 4²) defined.
If 9, 16 and 144
are square (ⓑ), it is sufficient to integrate the corresponding
parts (ⓒ), technically.
Just have the first two (3² and 4²) squares defined, obviously. With few
attempts it was possible the solution of this square of 144 numbers.
Structural Value = 870
The Structural Value of this square
(with 144 numbers) is equivalent
to 870. Then the sum of each diagonal line and column results in 870, correspondingly.
The 870 is a reference number significant to prove posterior.
Magic Square:
9 numbers
In
dismemberment, 16 "magic squares" with 9 terms are distributed. Each
of them only includes numbers of the same element referring to fire, earth, air
or water. Examples:
Fire
Earth
Air
Water
Nine "magic
squares" (With 16 terms) are positioned symmetrical also in the numerical
system, apparently implicit. Just select numbers of the same position in the squares
on nine terms. To exemplify the selection of the first position:
1 + 12 + 8 +
13 = 34
14 + 7 + 11 +
2 = 34
15 + 6 + 10 +
3 = 34
4 + 9 + 5 + 16 = 34
The Structural Value of this square is
equivalent to 870.
There are other
harmonic effects still. But surprisingly unusual is with equivalent numerical
substitution. In substituting numbers by degrees their position in the circle, other
"magic squares" are formed also. The sum by row or column results in
165º ever. Structural Value = 165º. So equates
to square the circle demonstrated.
That is why unlimited
use of that numerical system is efficiently.
