(including our own solar system)
Our solar system is under the guidance of a Star in our Galaxy referred to as “The One About Whom Naught Can Be Said”. It is His Will and Purpose which are the Laws governing all of the constellations under His jurisdiction. His four lower vehicles, really His Personality, are the twelve constellations of our zodiac!1 This Indescribable, Absolute Monad (2), is the ineffable Cause of the seven solar systems of which ours is one. It is His energy that vitalizes our solar system with the “waters of space.”3 Yet, He is but a cell and/or a force center, (also called a 'chakra', which is a VORTEX, that digs in Space,) in a still greater stupendous Life, which is part of the infinite Universal Living Organism.
The whole universe is guided, controlled and animated by an endless series of Hierarchies of sentient Beings. Each has its mission to perform. They vary in their respective sizes and degrees of consciousness.4 Some function as Gods, some as Hierarchies of Angels or Devas, some as rivers of Lives vitalizing galaxies, solar systems, planets and all the kingdoms of nature with the fiery energies of the “waters of space”. The Ancient Greeks might call it the ether, also referred to as the “waters of space”. All types of energy such as prana and akasha are included in the waters of space, as well as the ‘soul,’ which is a type of energy distinguished from that of matter!
The first picture is a NASA photo of a so-called “angel” taken on 10/15/12; the 2nd was taken on 2/20/13.
Waring (a member of NASA) commented: “From the analysis, this angel -shaped object is the size of two earths. It moved directly to the sun.”
Dr. Robert Moon was one of the key scientists involved in the Manhattan Project, which was noted for building the first atomic bomb. He built the first scanning X-ray microscope. He discovered that the protons of atoms naturally assemble into the Platonic solids. He believed geometry was the key to understanding quantum physics. In Dr. Moon’s model more than one geometric form can nest within the nucleus at the same time. Each one is inside the next. He found four Platonic POLYHEDRA in the nucleus of an atom. From this he was able to determine the number of chemical elements in the Periodic Table.5 In geometry, a polyhedron is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.
What is a Platonic Solid? Google’s Wikipedia definition is:
“In Euclidean geometry, a Platonic solid is a regular, convex polyhedron. The faces are congruent, regular polygons with the same number of faces meeting at each vertex. There are exactly five solids which meet those criteria; each is named according to its number of faces. The aesthetic symmetry of the Platonic Solids have made them a favorite of geometers for thousands of years. They are named for the Ancient Greek, Plato, who theorized that the classical elements were constructed from the regular solids.”
Plate One at the end of this article, shows how the Polyhedra are combined.
Plate Two shows the Elements of the Five Regular Polyhedra. (It includes the edges or lines, the faces, and vertices, together with the length of the line, both inner and outer and the sum of the plane angles of each polyhedron).
I get really excited when I think how planetary cycles and the Golden Section (allegedly discovered by Pythagoras) correlate with the Ancient Wisdom Teachings, which I send out weekly online, free of any charge.
Those familiar with the Fibonacci series will notice that the length of the lines exhibits the proportions of the Golden Section, which is also called the golden ratio, the golden mean, and the divine proportion. It is closely connected with the Fibonacci series and has a value of (√5-1)/2, which is 0.618….
Notice in Plate Two, that the sum of the plane angles of the cube is 2,160. This is the Messianic Cycle! It is the number of years for the equinoctial point on the earth’s orbit to move backward among the constellations of the zodiac through an angular distance of 1/12 of the circle of the Precession of the Equinoxes.6 Twice 2,160 is 4,320. The number 4,320,000,000 is a key number that relates to what the Teachings call: a “Day of Brahma” or a planetary chain cycle that covers the evolution on 49 globes.7
The following is the number of degrees of the plane angles.
Icosahedron 3,600 degrees
Dodecadedron 6,480 “
Octahedron 1,440 “
Cube 2,160 “
1st Tetrahedron 720 “
2nd Tetrahedron 720 “
______
15,120 degrees 8
This is the number of degrees for the Equinoctial point to pass through seven signs of the zodiac. Notice that the icosahedron and the dodecahedron are complementary. Each having 30 edges or lines. The icosahedron has 20 faces and the dodecahedron has 20 vertices. The icosahedron has 12 vertices and the dodecahedron has 12 faces. I believe that everything in manifested nature, including the planets has its complement and its opposite polarity; thus forming a triangle. The octahedron and the cube are also complementary. The tetrahedron is its own complement as it interlaces with itself.
If we omitted the number of degrees of the plane angles of the second Tetrahedron, the total number of degrees would be 14,400. (15,120 minus 720 = 14,400) They are all multiples of 720, the number of degrees in a tetrahedron. They increase in the ratio of 1, 2, 3, 5 and 9, with a total of 20 X 720 or 14,400 degrees. 720 is the product of (3+4+5) and (3x4x5). (12 x 60) The numbers representing the sums of the angles may be expressed as follows:
Tetrahedron 1 x (3+4+5) times (3x4x5)
Octahedron 2 x (3+4+5) times (3x4x5)
Cube 3 x (3+4+5) times (3x4x5)
Icosahedron 5 x (3+4+5) times (3x4x5)
Dodecahedron 9 x (3+4+5) times (3x4x5)9
All of these numbers are divisible by the number: nine. Those familiar with the Golden Section and the Fibonacci series will notice that the length of the lines, exhibit the proportions of the Golden Section, to wit: Inner icosahedrons: .382; dodecahedron .618; cube 1.00; outer icosahedrons: 1.618. Since the cube represents fully developed man, the length of the unit used is 1.00 from which the edges or lines of the other polyhedra are derived. The length of the tetrahedron is 1.414 which is the square root of 2 since it is the diagonal on the face of the cube.10
Behind every planet or object is an Entity. (It is part of a Living Organism which is the Infinite Kosmos.) When we say that the number of days for the Entity informing the Earth to make its rotation around the Sun is 360 days, it is because it can vary from 356 days to 366. So we take the approximate number of days for a planet to rotate around the Sun. They are as follows:
Mercury 90 days
Venus 216 “
Earth 360 “
Mars 720 “
Jupiter 4,320 “
Saturn 10,80011 “
We notice that Mercury revolves around the sun four times to one of Earth’s year. The ratio is 4:1. Once every 60 year period the planets are all in conjunction or in syzygy. They would all lie along a straight line with respect to the Sun. The following table shows the ratios of the planets correlating to the faces of the polyhedra.
Mercury : Earth 4:1 Tetrahedron (Faces)
Mars : Jupiter 6:1 Cube “
Mercury : Mars 8:1 Octahedron “
Earth : Jupiter 12:1 Dodecahedron “
Venus : Jupiter 20:1 Icosahedron “
Mercury : Earth 4:1 Tetrahedron (Vertices)
Mercury : Mars 8:1 Cube “
Mars : Jupiter 6:1 Octahedron “
Venus : Jupiter 20:1 Dodecahedron “
Earth : Jupiter 12:1 Icosahedron “
Mars : Jupiter 6: 1 Tetrahedron (Edges)
Earth : Jupiter 12:1 Cube & “
Octahedron
Earth : Saturn 30:1 Icosahedron & “
Dodecahedron12
There are so many more instances of correlations between the Ancient Wisdom Teachings and the cycles to wit: 60 is 5 times the Jupiter cycle of 12 years. The square of 60 is the Chaldean Saros of 3,600 years. The Golden Section, was used by the Greeks in architecture. It appears in nature in the Sunflower, flowers and seashells.
PLATE 1 - How the Polyhedra are combined
PLATE 2 - Elements of the five regular Polyhedra
Icosahedron Octahedron Tetrahedron Hexadedron Dodecahedron
Edges 30 12 6 12 30
Faces 20 8 4 6 12
Vertices 12 6 4 8 20
Length of Edge .707 1,414 1.00 .618
Inner * .382
Outer* 1.618
Sum of Degrees 3.600 1,440 720 2,160 6,480
*By the terms Inner and Outer Icosahedron we mean the Icosahedron which surrounds the Dodecahedron and the smaller one at the center formed by joining internally the vertices of the Dodecahedron
Marguerite dar Boggia formerly served as Membership Secretary for ISAR, the International Society for Astrological Research. She was past Secretary and Director of ISAR and Publisher of Kosmos, the ISAR journal. She was a co-founder of UAC, the United Astrological Congress, and its past Secretary and Director. Her goal is to serve humanity and the spiritual Hierarchy of our planet. To that end, she offers free, online, three pages weekly of the Esoteric Teachings as was known by that great Disciple, Pythagoras.
References:
1 Bailey, Alice A. Esoteric Astrology, Lucis Publishing Co. N.Y. 1951, p. 608
2 de Purucker, G., Occult Glossary, Theosophical University Press, Pasadena, CA 1972, pp. 121, 111
“A monad is a spiritual entity which to us humans is indivisible; it is a divine-spiritual life-atom, but indivisible, because its essential characteristic, as we humans conceive it, is homogeneity; while that of the physical atom, above which our consciousness soars, is divisible, is a heterogeneous composite particle.
“Monads are eternal, unitary, individual life-centers, consciousness-centers, deathless during any solar manvantara, therefore ageless, unborn, undying….Monads are spiritual-substantial entities, self-motivated, self-conscious, in infinitely varying degrees, the ultimate elements of the universe. These monads engender other monads…Every monad is a seed, wherein the sum total of powers appertaining to its divine origin are latent…”
3 Bailey, Alice A. A Treatise on White Magic, Lucis Publishing Co. N.Y. 1925, p. 275.
We have generated a term we call the ether. Occultly speaking, this is the modern way of expressing “the waters of space,” which are the waters of desire, in which we are immersed. It is in constant ebb and flux and is the stream of life, constituted of 49 types of energy, which pours through the cosmic egoic lotus, and (radiating forth from it) feeds with its measure of sustenance the form—solar, planetary or human—for which it is responsible. This is dealt with in A Treatise on Cosmic Fire.”
4Blavatsky, H.P. The Secret Doctrine, Theosophical University Press, Pasadena, CA. 1963 Vol. I, p. 295
5 Wilcock, David The Source Field Investigations, Dutton a member of the Penguin Group (USA) NY, NY, 2011, pp.328-329
6 Plummer, Gordon, L. The Mathematics of Cosmic Mind, The Theosophical Publishing House, Wheaton, IL, USA, 1970, 1982,p. 31
7 de Purucker, G., Book IV, Galaxies and Solar Systems; Their Genesis, Structure and Destiny, Point Loma Publications Inc., San Diego, CA 1987, p. 75
8 Plummer, Ibid p. 26
9 Plummer, Ibid pp. 34-35
[1]0 Plummer, Ibid p. 29
[1]1 Plummer, Ibid p. 36
[1]2 Plummer, Ibid p. 37
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