Pattern and Form: Geometry
Overview
This section details how source and destiny archetypes
are woven together by triune relationship, sine wave law, wave equations, and the quadratic manifestation cycle of the square
root of minus one. In addition, this section includes information on signal analysis, and the difference between the
real and imaginary worlds. The main features of this section are:
Major and Primary Triune Reality Archetypes with
their quadratic Identity Archetypes.
Phasing of the three primary sine waves that constitute
the core of all manifestation. This is shown as three sine wave lines phased 90 degrees apart but which come together as one
at the Manifestation Cycle.
Introduction to the concept that each phase of
reality carries with it its own Gravity, which pulls toward its source. There is a difference between Universal Paradise
Gravity and Local Linear Gravity.
Resolution of the Trinity of Trinities - the Universal
Absolute.
Archetypal eventuation of three Reality Domains,
controlled by a fourth. The Reality Domains are:
1. Imagination…the (I) Field. 2. Energy…the
(E) Field 3. Mass…the (M) Field 4. Potential…the (L) Field…the main controller of destiny and the
"real" manifestation of "imaginary" energy or information.
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HP: 4.0
- The reality of the universal master archetypal personality and the spiritual heritage of unity within
diversity is revealed as pattern and form across the entire range of relative reality, which
manifests as harmony in time and proportion in space.
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Personal realities can be transmitted
or reflected. Physical patterns can only be reproduced or copied.
Prior Harmonic Principles described how one (unity) becomes
two (duality), three (triunity), and then a quadratic manifestation of matter (from Paradise). The primal patterns of permutation
(transformation) continue into manifestations of five, six, and seven.
Development continues into physical patterns based
on the decimal system of ten (logarithmic powers of ten), and spiritual patterns revealed in the numbers one, three, seven,
eight, twelve, thirteen, twenty one, and thirty three. It was the concept of universal patterns and forms that the prophet
had in mind when he said that mankind was made in God’s image.
The idea that numbers come from the infinite is supported
by many facts, including:
Whole numbers and fractions have been used for centuries
to describe the quality and quantity of reality. Numbers are the best language to use to describe material phenomenon.
Modern day advanced math cannot be performed without
the use of certain transcendental or “imaginary numbers” such as (i) the Square Root of Minus One, and (e) the
Growth Constant.
Numerology has always had a large following because
it seems to work. Numerology figures prominently in the I-Ching, the Tzolkin, and other ancient sciences.
The 1-3-7 Fine Structure Constant reveals the
proportional nature of reality across the entire range of materialization. (As a dimensionless constant which does
not seem to be directly related to any mathematical constant, the fine-structure constant has long been an object of fascination
to physicists. Richard Feynman, one of the founders of quantum electrodynamics and an atheist, referred to it as "one of the
greatest damn mysteries of physics: a magic number that comes to us with no understanding by man.")
The permutation of numbers seems to be related
to all universal phenomena. The Law of the Octave reveals this fact. This Law states that all phenomena have a spiritual heritage
that causes them to repeat certain patterns in ones, threes, sevens, and twelves. In other words, a certain pattern can change
with each step, but some aspect of it will return every so many steps. Examples are the Periodic Chart of the Elements, the
Colors of the Rainbow and Music Scales.
As the seven major notes of the music scales
ascend, five descend and create the minor notes, bringing the total to twelve (7 white keys and 5 black keys on the piano).
In this way, the major whole number integers eventually manifest. However, from the perspective of the octave, these
“whole numbers” are actually just partials of the original key, indicating the recursive proportional nature of
reality.
These patterns apparently occur because of the
natural permutations of numbers. One becomes Two because of the Laws of Duality that maintain balance. Two becomes Three because
its relationship with One creates tension that requires resolution. Three becomes Seven because of all of the possible combinations
of Three.
The mysteries found in the relationships between the
Golden Spiral, the Golden Section, Pi, and Theta underscore the importance of the relationships between shapes and numbers.
(Theta functions constitute a certain sequence of numbers that has proven useful in various problems of mathematical analysis.)
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HP: 4.0.1 Numbers are used to describe the relationships
of seven sacred shapes that depict the geometry of the universe. They are based on the idea that the seven sacred shapes contain within themselves all of the information required to produce the entire universe.
Fractal geometry may also be considered
as sacred geometry. A fractal is a fragmented geometric shape that can be split into parts, each of which is (approximately)
a reduced-size copy of the whole.
Sacred geometry is the geometry and mathematical ratios,
harmonics and proportion found in architecture, music, light and cosmology.
In nature, the patterns, designs and structures
of sacred geography extend from minuscule particles to the greater cosmos. These shapes follow the geometrical archetypes,
which reveal the nature of each form and its vibrational resonances. The shapes are symbolic of the underlying metaphysical
principle of the inseparable relationship of the part to the whole.
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| Sphere |

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| Vesica Pisces |

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| Tetrahedron, 4 faces |

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| Cube, 6 faces |

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| Octahedron, 8 faces |

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| Dodecahedron, 12 faces |

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| Icosahedron, 20 faces, shape of many viruses |
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HP: 4.1 – The law of Permutation: Permutations of the triune nature manifest as a pattern of seven-ness
in all processes involving growth.
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The “Seven-ness” pattern of manifestation
emerges due to the total number of combinations or permutations (transformations) of the three primal archetypes.
Because the triune master personality desires to reveal
its full nature, all possible combinations of the original three must be revealed. Beside the original three, there are four
more. Three plus four equals seven.
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The Original Fundamental
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The First Overtone
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The Second Overtone
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1 + 2 the Fourth
Deity
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1 + 3 the Fifth
Deity
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2 + 3 the Sixth
Deity
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1 + 2 + 3 the Seventh
Deity
The pattern of seven-ness
reveals itself as a repeating pattern that appears during any process of growth or analysis of phases, levels, or steps, such
as music (seven notes), light (seven colors), art (seven proportions), evolution (seven stages), etc. In addition, the
maximum number of divided sections of a sphere equals seven.
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HP: 4.2 – The law
of 1-3-7: The unified, triune, and septuple (consisting of seven parts or members) permutation pattern gives rise to the 1-3-7
Fine Structure Constant of the manifested universe.
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The Fine Structure
Constant (FSC) determines the amplitude envelope (strength) of the electromagnetic field around atoms, and therefore the magnitude
of the electron orbits and total size of the atom.
The structure
of matter is determined, to a large degree, by the size of its atoms. This relationship is created by limitations placed on
the arrangement of spheres. If spheres are stacked one upon the other, the first three layers must be in the one-three-seven
arrangement, with seven on the bottom, then three, then one on top. No other arrangement is stable.
These relationships
are also responsible for the fact that only seven areas can be separated on a sphere.
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HP: 4.3 – The law of the Octave: The pattern of seven in reality gives
rise to seven harmonic overtones of vibration.
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The seven harmonic overtones of vibration manifest as the following music intervals:
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Fundamental
Unison Ratio
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Major 2nd
1.125 9:8
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Major 3rd
1.250 5:4
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Perfect 4th
1.333 4:3
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Perfect 5th
1.500 3:2
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Major 6th
1.666 5:3
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Major 7th
1.875 15:8
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Octave
2.000 2:1
In addition to
the 1-3-7 spiritual pattern of the universe, there are other patterns that also appear in nature.
Three
plus seven equals ten, so the physical universe is a decimal construction.
Evolution consists
of ten kingdoms with seven stages in each.
There are five
minor black notes on a standard keyboard for each seven major white notes of most chromatic music scales, which gives rises
to twelve notes, with the octave note being the thirteenth.
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HP: 4.4 - The original three plus their seven permutations
give rise to Ten Emanations of reality.
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All manifested (relative) reality is constructed on the decimal basis of ten.
There are ten Absolutes, ten emanations (emergences), ten types of electrons and
nebulae, ten kingdoms of evolution, ten power and gravity centers of the universe, ten sections of the human body, ten major
operating systems within the human body, and ten degrees of symmetry.
The decimal system is codified in the ten Sephirot
(enumerations) of the Kabbalah, a mystical book about cosmology written by the ancient Hebrews. (The Sephirot are considered
to be revelations of the Creator's will and creation.)
The quality of ten also manifests as the ten dimensions
of super string theory, and, when squared, provides the pattern of the +/- 100 electrons that share the ten valence positions
in the seven atomic orbits, and the +/- 100 octaves of waveform energy between 1 Hz. (cycles per second) and 3 x 10^40 (Planck’s
cycle).
The Planck constant (named after Max Planck one of the founders of quantum theory)
and the reduced Planck constant are used by scientists to describe quantization, a phenomenon occurring in subatomic particles
such as electrons and photons in which certain physical properties occur in fixed amounts rather than assuming a continuous
range of possible values.
(The ten stages of evolution will be covered more fully
beginning with HP: 7.0.)
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HP: 4.5 – The three observed dimensions of space are concealed within the
first emanation, creating twelve dimensions, with thirteen representing the womb that holds and contains
them.
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There are ten emanations
of reality, but twelve dimensions. Height, Width, and Depth are the three dimensions humans are familiar with.
These three are all concealed together within the first emanation of reality - Space.
When these three dimensions
are added to the nine remaining emanations, a total of twelve dimensions are made possible. When the toroidal womb
of the universe (which contains the twelve dimensions) is included, this makes thirteen dimensions - the number
of Total Reality.
If twelve spheres
of the same size are put together, they form a larger “ball” with a space the size of a single sphere in the center.
In other words, twelve balls put together create a thirteenth sphere. This indicates that the toroidal universal womb
and its center are the same thing. Infinity has been defined as everything that exists outside some defined
circle. Likewise, Zero can be envisioned as everything inside a defined circle. Relative Reality is everything that
exists along the circle. Since Zero and Infinity are the same thing (see HP: 1.2), the center and the outside
are the same as well.
These twelve
dimensions are concealed and contained within the Ten Emanations (emissions) of Universal Manifestation.
There are many
examples in human culture of the significance placed on the two most important universal numbers – twelve and thirteen,
especially with regard to the mystical and spiritual:
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Twelve Notes of the chromatic
music scale with the octave note being the thirteenth.
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Twelve Signs of the zodiac with
Aeon as the thirteenth. (Aeon is viewed as media through which the soul must pass to reach its divine origin.)
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Twelve Months in the solar calendar
with thirteen lunar months.
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Twelve Tones in the Mayan calendar
with thirteen being the overtone of Universal Movement.
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Twelve Knights of the Round Table
with King Arthur as the thirteenth.
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Twelve Gods of Olympus with Fate
as the thirteenth highest power.
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Twelve Disciples with Jesus as
their Master.
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Twelve Steps to Alcoholics Anonymous
with the thirteenth being God.
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Twelve Dimensions of Space/Time
with the Womb being the thirteenth.
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