From the book "Gods About Us", Max Rempel
The golden ratio is a proportional division of a quantity into unequal parts in which the whole segment relates to the larger part as the larger part itself relates to the smaller; or, in other words, the smaller segment relates to the larger as the larger relates to the whole.
c : b = b : a.
Fig. 1. Geometric representation of the golden proportion
Numerically the golden proportion equals
= (5 + 1) / 2 = 1.61...
It is found in many regular geometric forms; for example, it is the ratio between M and m in a five-pointed star.
The golden spiral, frequently encountered in nature, is based on the golden ratio. It can also be constructed from the Fibonacci numbers.
The Fibonacci numbers are the elements of a numerical sequence:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, in which each succeeding number equals the sum of the two preceding numbers.
The golden spiral is a particular case of fractals. A fractal is a geometric figure possessing the property of self-similarity, that is, composed of several parts, each of which is similar to the whole figure entire.
Living forms - the forms of the human body, of animals, and of plants - are built upon the interaction of the physical body, determined by the genetic program, and the immaterial biofields, which are built upon the interaction between regular polyhedra and spirals.
As I have already mentioned, our planet is a living being; it possesses a mind, and its life too is determined by the interaction of a physical component and its non-physical etheric fields. At the present stage of its development the etheric fields of the Earth are built upon the interaction of the dodecahedron (a twelve-faced figure assembled from pentagons) and the icosahedron (a twenty-faced figure assembled from triangles).
Fig: the superposition of the dodecahedron and the icosahedron.
Fig: the arrangement of vertices on the map of the world: the vertices of the icosahedron (in blue) and the vertices of the dodecahedron (in red).
The vertices of the dodecahedron and icosahedron on the surface of the planet, also called nodes, correspond to anomalous zones. At the intersections of the edges of the icosahedron and dodecahedron stand cultural monuments such as the Egyptian pyramids and Stonehenge. At these points the streams of non-physical, etheric energy form funnels and move in two directions - upward and downward. At these nodes the planet's energy interacts with the consciousness of humanity - here again the interaction goes in both directions: the planet influences humanity and humanity influences the planet.
Wilcock draws our attention to the fact that the Earth's structure was not always built upon the dodecahedron and icosahedron. In the distant past the etheric field of the Earth was built upon the combination of the cube and the octahedron.
Fig. In the distant past the etheric field of the Earth was built upon the combination of the cube and the octahedron.
David Wilcock. The Source Field Investigations, 2011 (full Russian text: http://divinecosmos.e-puzzle.ru/8content.htm)
Rina Svetlova. The Holographic Model of the Universe. Book 4. The Origin of Planet Earth (full text http://merkab.narod.ru/hologram_universe2/hologram_universe1.html)
This structure of fields was the cause of the breakup of the original continent of Pangaea into the present continents. In the course of the Earth's development, the fundamental structure of its etheric field passed from the combination of the cube (6 faces) and the octahedron (8 faces) into the combination of the dodecahedron (12 faces) and the icosahedron (20 faces).
Wilcock and Svetlova also draw our attention to the presence of geometric regularities in the structure of the solar system. The trajectories of the planets are likewise built upon simple geometric figures.
This is an idea of Kepler's, which until the present time was considered erroneous and which now, after a long interruption, turns out to be correct. The idea is that if the elliptical orbits of the planets are rounded into circles, then between the orbits of the planets one can fit regular polygons (as a rule squares and pentagons). The rounding is performed while preserving the perimeter of the orbit (the length of the ellipse).
Here is an example of the relationship between the perimeters of the orbits of Earth and Venus. It is mediated by a square: the rounded orbit of Venus is inscribed in a square that is inscribed in the rounded orbit of Earth.
Fig. The relationship between the perimeters of the orbits of Earth and Venus.
As you can see, geometric harmony pervades our world, from the smallest particles to astronomical structures. Plants, animals, and humans too are built upon geometric harmony.
Bearing in mind the harmony that pervades our world, should we be surprised at synchronicities? The non-random coincidences in our life reflect the invisible connections of the divine world, the world beyond the Veil. Destiny is evidently built upon the same mathematical laws of harmony.
Nevertheless, it is important to understand that, despite the non-randomness of what occurs, earthly existence is aimed at creating situations in which we can and must use our freedom of choice. This is the essence of the experiment and the school of life that we pass through on Earth. The task and chief function of the Veil, which separates us from sacred knowledge, is to provide us with the possibility for freedom of choice and to compel us to use it. For if there were no Veil, and we knew the regularities governing events, this would greatly limit our freedom of choice.
Thus we find ourselves between two extremes. The first consists in a complete denial of the existence of the divine world and a disregard for invisible connections. The other consists in relying entirely upon the patronage of higher powers and upon destiny.
In the first (materialist) extreme, freedom of choice dominates. Since a person does not understand the connection between the earthly world and the divine, his choices turn out to be based on egoism and destructive to those around him. For this reason materialist civilizations gravitate toward self-destruction. The second extreme leads, on the contrary, to a renunciation of freedom of choice and a reliance on providence and on guidance from above. This deprives existence in the earthly world of its very meaning, and the soul does not obtain the experience and the energy for which it comes into this world.
That is, it is the ordinary opposition between materialism and idealism, between common sense and superstition. The golden mean, as usual, consists in synthesis. Optimal is an intermediate, synthetic acceptance of the world, in which a person aspires toward the divine, accepts guidance from above, and yet actively exercises his right to freedom of choice and values the experience and lessons he receives - in which a person strives to raise the quality of his earthly sojourn and to obtain the highest possible experience for which he has descended here.