so.
rainbow is the sign of the covenant between God and mankind after the flood. in the Tibetan Buddhism rainbow body is the practically the same as the resurrected body of Christ. and
René Guénon assigns specific traditional titles and geometric definitions to the rainbow:
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The Natural Symbol of the Pontificate: He relates it directly to the role of the pontifex (literally “bridge-builder”) because it bridges distinct cosmic realms. [1, 2]
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The Upper Half of the Circumference: In a geometric sense, he calls it a semi-circumference. When joined with its lower, complementary inverse arc, it forms a complete circle that represents the primordial spherical form. [1, 2]
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The Sign of the Covenant: He echoes the biblical and traditional Chinese view, calling it the visible token of the union between Heaven and Earth. [1, 2]
The Main Functions of the Rainbow
According to Guénon’s exposition on traditional symbolism, the rainbow serves several primary metaphysical functions:
- Bridging Separate Worlds
- Acts as a vertical axis or pathway between the terrestrial and celestial realms.
- Allows the transmission of spiritual influences from higher states of existence down to the human world. [1, 2, 3]
- Differentiating Principial Unity
- Manifests the inner structure of divine light.
- Refracts the single, colorless, and unmanifested divine ray into a seven-colored spectrum of cosmic manifestation. [1, 2]
- Cyclic and Restoration Completion
- Serves as a geometric component of the universal wheel or cycle.
- Reconstitutes original total harmony when paired with its complementary earthly counterpart, mirroring the circular enclosure of the terrestrial Paradise
In his works on traditional metaphysics and symbolism, such as The Symbolism of the Cross and Fundamental Symbols: The Universal Language of Sacred Science , René Guénon writes that the swastika is a primordial, universal symbol of the supreme principle’s activity. He views it as a vestige of the “primordial tradition” that traces back to prehistoric times. Crucially, Guénon strongly condemns the modern appropriation of the symbol by 20th-century German racialists, calling their use artificial, anti-traditional, and a distortion of its sacred meaning. [1, 2, 3]
How Guénon Calls the Swastika
Guénon assigns specific traditional names to the symbol to emphasize its geometric and metaphysical roots:
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The “Sign of the Pole”: Guénon repeatedly calls it the “sign of the Pole” or a “hieroglyph of the Pole” to assert that its true nature is polar, not solar. [1, 2]
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Gammadion: He explicitly links it to the term gammadion, noting that its four hooked arms structurally resemble four capital Greek letters gamma ((\Gamma )) arranged around a central point. [1]
Main Symbolic Functions according to Guénon
According to Guénon’s analysis of ancient traditions, the swastika serves three main interconnected functions: [1]
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Representation of the Immutable Center (Axis Mundi): Rather than symbolizing generic movement, its primary function is to draw focus to the fixed, unmoving point at its center. It represents the celestial North Pole and the immutable cosmic axis around which the universe rotates. [1, 2]
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The Action of the Divine Principle: It symbolizes the dynamic activity of the absolute Principle (God, the Hellenic Logos, or the Chinese Taiyi) in organizing and shaping cosmic manifestation. The center point represents the unmoving source, while the rotating arms show how it imparts order to the world. [1, 2]
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A Symbol of Universal Life: Guénon explains that because rotation generates cosmic movement, and movement represents existence, the swastika functions as a symbol of life. It denotes the vivifying, life-giving role of the divine principle in the universe. [1, 2]
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A Secondary Reflection of the Sun: Guénon asserts that any solar meaning associated with the swastika is purely secondary or accidental. The physical sun’s movement across the sky is merely a visible reflection of the higher, primordial cosmic rotation around the North Pole. [1, 2]
it is also the basis for the Tai-Chi symbol or what they is popularly known as yin-yang. just think of vortices and fractals and higher dimension mathematics. easy-peasy. 
Main Functions and Symbolic Meanings of the Pentagram
1. A Symbol of the Microcosm
Guénon establishes that while the six-pointed star (the double triangle or Seal of Solomon) represents the Macrocosm, the five-pointed star strictly represents the Microcosm or individual man. This is visually represented by the geometric mapping of the human form onto the star—where the head, arms, and legs map perfectly to the five points (as seen in Renaissance depictions like the Pentagram of Agrippa). [1, 2, 3, 4]
2. The “Regenerated Man” and Cosmic Mediator
In his analysis of traditional triads, Guénon notes that in Masonic symbolism, the Blazing Star is positioned directly between the compass (symbolizing Heaven) and the square (symbolizing Earth). In this spatial arrangement, the pentagram functions as the “Regenerated Man” or the “True Man”. It serves the cosmic function of the mediator who bridges the gap between Heaven and Earth, harmonizing the spiritual and material realms. [1, 2]
3. Inward Manifestation of the Divine Principle
The traditional Blazing Star features a central glyph, typically the letter “G” or the Hebrew letter Yod. Guénon explains that this central point represents the Divine Principle residing within the center (the heart) of man. It represents the initiate who is “ablaze with light in the middle of the darkness” of the profane world, serving as a vehicle for intellectual intuition and spiritual realization. [1, 2, 3]
4. A Ritualistic Sign of Recognition
Guénon also notes the practical, operational history of the symbol within initiatory schools. He points to the Pythagoreans, for whom the pentagram functioned as a sacred sign of recognition because it could be traced continuously in a single, unbroken stroke, embodying the flow of universal manifestation.
p.s.: Guénon was the ‘founder’ of the traditionalist school in the 20th century. he was a mathematician originally. to me he was undoubtedly one of the greatest minds and teachers of real knowledge.
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