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#6 Correspondence between the 1-tree, the Sri Yantra & the 2nd-order tetractys
The 1-tree is the lowest of any set of overlapping Trees of Life. Transformed into tetractyses, its 19 triangles contain 80 yods, where 80 is the number value of Yesod (Table 1). There are four yods outside the 1-tree up to the level of its apex. Therefore, counting from the level of its Kether, 84 yods are needed to construct the lowest Tree of Life, itself representing Malkuth when regarded as the lowest of the seven Trees that map the physical plane (the space-time continuum known to physics). This is the number of corners of the 43 triangles in the 3-dimensional Sri Yantra. It is also the number of yods that surround the centre of the 2nd-order tetractys, the next higher-order differentation of the tetractys (see here). The Tetrad determines this parameter of holistic systems because 84 is the sum of the squares of the first four odd integers:
84 = 12 + 32 + 52 + 72.
There are 48 red yods in the 1-tree up to Chesed, the first Sephirah of Construction. This is the number of corners (red & green) of the 24 triangles in the 3rd & 4th layers of the Sri Yantra. It is also the number of brown hexagonal yods in the seven tetractyses corresponding to Sephiroth of Construction that surround the black yod at the centre of the 2nd-order tetractys. There are 36 black yods above Chesed in the 1-tree up to the level of its apex. They correspond to the 36 blue & violet corners of the 18 triangles in the first two layers of the Sri Yantra and to the 36 dark green yods at corners of tetractyses or making up the tetractyses at the corners of the 2nd-order tetractys.
These parallels between the 36:48 division of the 84 yods in the 1-tree, in the 42 triangles of the 3-dimensional Sri Yantra and in the 2nd-order tetractys demonstrate their equivalence as different representations of the same holistic system. They can be said to be isomorphic to one another because a unique, one-to-one correspondence exists between the basic components of each isomorphic system. This implies that holistic systems possess the same parameters, despite the differences in their morphologies, because the components group into analogous sets that contain corresponding numbers of them.
Correspondence between the Tree of Life and the 2nd-order tetractys
Turned into tetractyses, the 16 triangles of the Tree of Life contain 70 yods (10 red yods at their corners & 60 black yods). They correspond in the 2nd-order tetractys to its 70 hexagonal yods (10 at the centres of 1st-order tetractyses and 60 at the corners of hexagons). The tetrahedron whose vertices are located at Netzach, Hod, Yesod & Malkuth in the Tree of Life has 20 yods in its four faces when they are tetractyses. 15 internal blue yods make up the six internal tetractyses formed by the six edges of the tetrahedron. The complete Tree of Life contains (70+15=85) yods, where
85 = 40 + 41 + 42 + 43.
It illustrates the Tetrad Principle at work (see Article 1) in expressing this parameter of holistic systems, for there are 85 yods in the 2nd-order tetractys.
The 15 internal blue yods correspond to the 15 corners of the 10 tetractyses; these corners symbolise the three members of the Supernal Triad. The 70 black yods making up the visible exterior of the Tree symbolise the seven Sephiroth of Construction that have objective manifestion. The 15 yods hidden inside the tetrahedron shape the Tree of Life in the sense that they give volume or 3-dimensionality to it, thereby fulfilling the function of the Supernal Triad, which stands, so to speak, "outside" all levels of reality, the triple Godhead being the subjective aspect of God and these levels being His objective manifestation. This distinction is symbolised in the Sri Yantra as the difference between its central triangle, whose corners symbolise Shiva, Vishnu and Brahma, and the 42 triangles that surround it. The following correspondences exist between the 2nd-order tetractys and the Tree of Life, demonstrating that they are equivalent, geometrical representations of the divine Whole:
- Apex of the 2nd-order tetractys → centre of the tetrahedron;
- 15 blue yods at corners of 10 1st-order tetractyses → 15 blue yods inside the tetrahedron;
- Red hexagonal yods at the centres of the three 1st-order tetractyses at corners of 2nd-order tetractys → three red yods in the Tree of Life located at Kether, Chokmah & Binah;
- Seven red hexagonal yods at the centres of the remaining seven 1st-order tetractyses → seven red yods in the Tree of Life located at the seven Sephiroth of Construction;
- Red hexagonal yod at the centre of the central 1st-order tetractys → red yod at base of the Tree of Life denoting Malkuth.
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