“Geometry is knowledge that appears to be produced by human beings, yet whose meaning is totally independent of them.” - Rudolf Steiner

“Geometry is an art and a science as definite as mathematics.” - Randolph Stone

“Mathematics is the art of giving the same name to different things.” - Henri Poincaré




trinity of polarity
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Trinity of polarity - Walter Russell [with some edits to the original]

The three come forth from the one. One is in three and stands between two, forming a triad from which has proceeded everything; so that One is all and all is One.” - Zohar

God never passes nine in any creative expression nor does any phenomena in Nature ever exceed the principle upon which your breathing, or heartbeat is based. Anything in Nature, or in your life's problems, which might have one million parts and one million complexities, if taken apart, will be found to constitute one simple principle of three elements. God multiplies these three by three to make nine, but never more than that. So if you can understand the principle of the basic three, and if you can multiply that three by three, you can become the greatest chemist, metallurgist, electrical engineer, poet, painter, philosopher or inventor in the whole world if no one but you in the world did understand it. This basic THREE, which cannot be added to nor subtracted from, will hereinafter be referred to as THE DIVINE TRINITY.” - Walter Russell

If you knew the magnificence of the 3, 6 and 9, you would have a key to the universe.” – Nikola Tesla

trefoil knot
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Trefoil knot
This is the simplest example of a nontrivial knot. It can be created by cutting the circle and connecting the two line-ends after one knot-movement.

“In the production of finite existence the first act was the evolution of the Memra, or the Word, which was the first point in the descending series of beings, and from whom in nine other degrees of manifestation emanated those forms which at once compose the universe and express the attributes and presence of its eternal ruler. To these nine forms is given the common name of Sephiroth, signifying Splendors. The whole or some of these Sephiroth constitute the universe, the manifestation of God, (…) The primordial essence is before all things. In his abstract and eternal nature and condition he is incomprehensible, and as an object of the understanding, according to the Zohar, he is nothing, the mystery of mysteries; but he took form as he called forth them all. The ancient of ancients is now seen in his own light; that light is his holy name, the totality of the Sephiroth. The order of their emanation is as follows: From Kether, the Crown, the primal emanation of En Soph, proceed two other Sephiroth–Chocma (wisdom), active and masculine; the other Binah (understanding), passive and feminine, the combination of which results in thought, of which the universe is the effect. The crowned Memro, or Kether, or primordial Logos, is the thinking power in creation, Chocma the act of thinking, and Binah the subject of the thinking.” - Zohar

russel-rodin math

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russell-rodin numbers

Out of stillness comes seeming motion:

  • 0 represents the stillness of the fulcrum
  • 9 represents motion and encompasses the whole inward-outward swing of the wave. This seeming motion consists of an inward-outward wave:
    • 3 represents the inward, generative motion (3 center points of stillness)
    • 6 represents the outward, degenerative motion (6 outer points of polarity)

Seeming motion (9) arrises from the polarization of stillness (0) into 7 distinct octave notes:

  • the maximum pressure note between the male and female side corresponding to the ±4
  • 1, 2, 4 corresponding to +1 +2 +3 represent the male polarity charging side
  • 8, 7, 5 corresponding to -3 -2 -1 represent the female polarity discharging side
the universal one-062
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“Universal Mathematics” - Walter Russell

The cubical 9:

  • The one inner-point of the cube and its 8 corner points also add up to 9.
  • Every cube can be sub-divided in 8 sub-cubes.
    • Each of these 8 sub-cubes can be defined using 3 vectors, with each vector having 2 directions: x +-, y +-, z +-. So each sub-cube is addressable using these 3 —> 2^3 = 8. Meaning the whole cube is controlled from the 3 (positive) and 6 (negative), which makes 9 —> 3^2 = 9.

ancient art


cave drawings

common world cave drawing symbols
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common cave drawings in the world - *
common european cave drawing symbols
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32 most common cave drawings in Europe - *

jain religion

raj lok symbol
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Raj Lok symbol

“Jain cosmology considers the universe, as an uncreated entity, existing since infinity, having neither beginning nor end. Jain texts describe the shape of the universe as similar to a man standing with legs apart and arm resting on his waist. This Universe, according to Jainism, is broad at the top, narrow at the middle and once again becomes broad at the bottom.”

note: how this slight asymmetry might indicate the male-female polarity. - wikipedia

note: the Swastika vortex symbol and the Ahisma hand symbol for “non-violence”
jain time cycle
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Jain time cycle

“According to Jain cosmology, the universe does not have a temporal beginning or end. Its “Universal History” divides the cycle of time into two halves (avasarpiṇī and utsarpiṇī) with six aras (spokes) in each half, and the cycles keep repeating perpetually. Twenty-four Tirthankaras appear in every ara, the first Tirthankara founding Jainism each time. In the present time cycle, Rishabhanatha is credited as being the first tīrthaṅkara, born at the end of the third ara ” - wikipedia
raj lok art
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Raj Lok art

note: the position of the two hands on the equator and the central Axis mundi
sankhitta sangheyani part
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Jain cosmography illustration part (17th century) - source

note: the resemblance to the generative (vertical) and degenerative (horizontal) poles in the Walter Russell cosmology
jain cosmology
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written language



ancient western alphabets
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western alphabet development


10 digits

10 digits india
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the efficient 10-digit numerical system has its origin in Ancient India
10 digit based numerical writing chart
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10-digit numerical writing comparison

divination systems

(todo: exploration of possible fundamental connections to the previous geometry)

i ching


0 +1 +2 +3 ±4 -3 -2 -1 0

  • 8 primary trigrams in two polarities (male and female) leads to 64 hexagrams (double trigram) combinations.
    • The male-female wave motion is balanced for both the generative and degenerative wave-cycle.
    • See also: “I Ching: Book of Changes”.
    • “64 codons, 61 represent amino acids, and the remaining three represent stop signals, which trigger the end of protein synthesis. Because there are only 20 different amino acids but 64 possible codons, most amino acids are indicated by more than one codon. (Note, however, that each codon represents only one amino acid or stop codon.) This phenomenon is known as redundancy or degeneracy” - *
      • 8 fundamental amino acids?? (8 human-essential amino-acids)

see also