THE SACRED GEOMETRICAL PI : 3.11769145362398000
We
often hear that the circumference of the Earth and other planetary object is
not a perfect circle. However, no one has ever made an attempt at identifying
an alternative circle or shape. In consistent with the GUSUMS’ hypotheses, I
have managed to derive an alternative pi that is based on sacred geometrical circles.
The
sacred geometrical pi is the area of a sacred geometrical circle with a radius
of 1 or the circumference of a sacred geometrical circle with a diameter of
one. This is because no matter which
unit you are using, a circle with a radius of 1 will always have an area that
is equal to pi units. The same goes for the circumference as a no matter which
units you are using, if the diameter is one, then the circumference will be
equal to pi of that particular unit. This is the GUSUMS definition of pi. Based
on this concept the following are the key concepts and values
Ø The exact value of the
sacred geometrical pi is exactly = 3.1176914536239800
o pi= square root of 3 ×
1.8
Ø The sacred geometrical
pi incorporates both the equatorial measurement (diameter/radius) and polar
diameters of sacred geometrical circle.
o The equatorial diameter
cut across the circle at 90 degrees. The polar diameter cut across the circle
at either across 60 to 300 degrees or 120-240 degrees and is the chord of the
circle. This applies to both a sacred geometrical circle and a normal circle.
Ø The length of the chord
can be calculated as
o Chord = square root of 3
multiplied by the radius
Ø Apart from Circumference
= Pi ×Diameter, the sacred geometrical circumference can also be calculated as
o Sacred geometrical
circumference= chord × 3.6
Ø The sacred geometrical
area can also be calculated as;
o Area = chord × 0.9
diameter
o Area = chord × 1.8radius
o Area = Pi × r^2
SACRED GEOMETRICAL CIRCLES
 |
| The Complete Seed of Life is the First Sacred Geometrical Circle. |
Sacred geometrical circles are circles formed by
drawing circles following the sacred geometrical patterns. This implies that
they are based on drawing subsequent circles based on the intersections created
from the previous steps. Examples of sacred geometrical circles include; the
seed of life shown above, the second circle shown below, the flower of life,
and the tree of life.
 |
| A depiction of the second sacred geometrical circle with 12 divisions |
From the first sacred
geometrical circle, the difference between a sacred geometrical circle and a
normal circle can not be easily be differentiated. However, by drawing a second
sacred geometrical circle the difference between the two can be seen.
 |
| Sacred Geometrical Circle Vs Normal Circle |
The image above depicts
the second sacred geometrical circle in red and the outer blue circle depicts a
normal circle. despite the two circles having the similar parameters such as
radius, diameter, and chord, the sacred geometrical circle is smaller than the
normal circle.
Properties of Sacred
Geometrical Circles
Divisions
Divisions refers to the
number of points, dots, divisions, or intersections a sacred geometrical
circle. For example, using the sacred geometrical image below, the first sacred
geometrical circle has 6 divisions and the second has 12 divisions. Now,
assuming that the first circle has a radius of 1, then the number of divisions
is calculated by multiplying the radius by 6. The
assumption is based on the objective of identifying the value of pi
based on the definition of pi being the area of a circle with a radius of 1. If
the basis was the circumference implying that pi is the circumference of a
circle with a diameter of 1, then the number of divisions would be based on
multiplying the diameter by 6. The general approach throughout this is that the
first sacred geometrical circle is the complete seed of life.
 |
| Divisions of Sacred Geometrical Circle |
Spaces
Spaces refer to the
internal triangular-like shapes in a sacred geometrical circle. To get the
number of spaces in a sacred geometrical circle, we multiplied the number of
divisions by the radius/diameter depending on the approach. Thus, the first
sacred geometrical circle has 6 spaces, the second has 24 spaces, and the third
has 54 spaces.
 |
| No.of spaces(S) in the seed of life |
Leaf-like shapes/Leaves (L)
The Leaves (L) are the interlocking
arcs that look like leaves in a sacred geometrical circle. Thus, the first circle has 12L. That the same
as the number of divisions multiplied by the diameter assuming the radius was
one. In the subsequent sacred geometrical circles, the number of subsequent Ls
are also based on multiplying the number of divisions by a factor. For the
first circle the factor is 2, and for the subsequent circles the factors used to get the number of
leaves keeps increasing by 1.5. This means that in the first 4 circles the
number of L is 2*D(divisions), 3.5 *D, 5*D, & 7.5*D respectively.
 |
| Leafs in the seed of life |
Chord
 |
| Chords or Polar chords in sacred geometrical circles |
The chord is the
segment that cuts across a circle from one end to another and joins the two
points either at 60 degrees and 300 degrees, or 120 and 240 degrees as shown
below. The length of the chord is equal to the square root of 3 multiplied by
the radius.
STEPS OF CALCULATING
THE SACRED GEOMETRICAL PI
 |
| A circle with a radius of 1 and 12l and 6s |
Pi can be defined as
the area of a circle with a radius of 1. This means that the area of a sacred
geometrical circle with a radius of 1 should also be able to produce a sacred
geometrical pi. However, we do not know the value of a sacred geometrical pi.
Despite this, we know that a sacred geometrical circle has 12L and 6S. This, if
the radius is 1, then sacred geometrical pi is equal to the area covered by 12l
and 6s. From this we can form an equation.
Sacred Geometrical Pi =12l
+6s
REGULAR POLYGONS
As much as we do not
know the value of sacred geometrical pi or how to derive it so far, In the
Origins of Geometry and Trigonometry I had explained that by joining the points
and lines in a sacred geometrical circle
we can create perfect polygons. This polygons will thus contain a particular
number of Ls and S. In addition, we can calculate the area of the polygons as
we know the formulae for calculating their area. From this we can form
equations from which we can derive the sacred geometrical pi. Examples are
illustrated below.
Small Equilateral
 |
| Small equilateral: 1.5L + 1S |
The image above shows an equilateral triangle. The equilateral triangle occupies 1S and 1.5l. We can note that sides of the equilateral triangle are equal to the radius or are 1 unit each. The area of an equilateral triangle is calculated using the formula
Square root of 3 ÷ 4 × a^2 =Area where a is the length of each side.
Thus
the area of the equilateral triangle will be
Square root of 3 ÷ 4 × 1^2
= 0.4330127018922190
This means that
1.5L+ 1S= 0.4330127018922190
Large Equilateral Triangle
 |
| Large Equilateral triangle A equal to 4.5l+3s |
You can even draw a much larger equilateral triangle such as the one shown above. The above equilateral triangle occupies 4.5L and 3S. Each side of the above equilateral triangle is equal to the chord or 1.7320508075688800. Thus, the area will be
Square root of 3 ÷ 4 × 1.7320508075688800^2
=1.29903810567666
Thus,
4.5L+3S=1.29903810567666
Hexagon
 |
| The hexagon has 9l and 6s |
The
same applies to the hexagon shown above. The hexagon contains 9l and 6s. Each
side of the hexagon has a length of 1unit or the same as the radius. The area of the hexagon is
=2.5980762113533200
Thus
|
9L+6S=2.5980762113533200 |
General Behavior
Having done that several times and in several
different shapes below shows the general behavior. It shows that for linear
shapes the ration of s to l is always 1.5
A-small
triangle: 1.5L+ 1S= 0.4330127018922190
B-
Rhombus: 3L + 2s = 0.8660254037844390 exactly
C-Large
Triangle/Trapezium: 4.5L+3S=1.29903810567666
D-Rectangle:
6l+4S=1.7320508075688800
E-Hexagon:
9l + 6s= 2.598076211353320
Remembering that we used the radius to get the
divisions and used the divisions to get the spaces and leaves, then the number
of L and S are just an expression of the radius, diameter, or divisions. Simply
put all this implies that L and S are equal or can be expressed based on r as
Assuming
the radius is 1, then A, B, C, D, & E are simply
A-small
triangle: 1.5r+ 1r= 0.4330127018922190
B-
Rhombus: 3r + 2r = 0.8660254037844390 exactly
C-Large
Triangle/Trapezium: 4.5r+3r=1.29903810567666
D-Rectangle:
6r+4r=1.7320508075688800
E-Hexagon:
9r + 6r= 2.598076211353320
Or just
|
SHAPE |
S=r × 1 |
L=r×1.5 |
Total (t)=S+L |
Area |
L or S=Area/total |
|
Small Equilateral |
1 |
1.5 |
2.5 |
0.433012701892219000 |
0.173205080756888000 |
|
Rhombus |
2 |
3 |
5 |
0.866025403784439000 |
0.173205080756888000 |
|
Large
Equilateral/Trapezium |
3 |
4.5 |
7.5 |
1.299038105676660000 |
0.173205080756888000 |
|
Rectangle |
4 |
6 |
10 |
1.732050807568880000 |
0.173205080756888000 |
|
hexagon |
6 |
9 |
15 |
2.598076211353320000 |
0.173205080756888000 |
From
the above we can see that all the equations result in the same end with l or S
being equal to 0.17320508075688800.
Thus,
since the circle is 12l +6s or a total of 18
Then
the area will be equal to 18 × 0.17320508075688800.
= 3.117691453623980000
Thus, the sacred
geometrical pi is exactly 3.117691453623980000.
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