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**#75 Correspondence between the inner Tree of Life and
the 3-d Sri Yantra**

Although
traditionally regarded as a triangle, the downward-pointing, three-sided
figure at the
centre of the 2-dimensional Sri Yantra is not, from a strict, mathematical point of view,
a triangular
*area* that can be turned into a Type A triangle. This is because the bindu as a separate dot or
point symbolising the Absolute is assigned to its centre. As the source of Creation, the Absolute (Parabrahman) stands, so to speak, 'outside' it always, so that the bindu cannot be
counted with other yods or included with all the geometrical components of the Sri Yantra,
which represents God's Creation. For this reason, it is illegitimate to treat this central,
three-sided figure as a true triangle on the same par as the 42 triangles that surround it. It is,
however, legitimate to do so when the Sri Yantra is a 3-dimensional stack of four sheets of Type A triangles
because, then, the central bindu* hovers *above* the central (white) Type A triangle. In this case,
**15** turquoice yods in the latter other than corners surround its centre. Each Type A
triangle contains 19 yods, that is, 16 yods other than its corners. The number of black yods other than corners
in the 42 Type A triangles = 16×42 = 672. The number of yods other than corners of the 43 Type A triangles that
surround the central axis passing through the bindu and the centre of the central triangle = **15**
+ 672 = 687. Remarkably, this is the number of yods in the seven enfolded polygons of the inner Tree of Life
when their 47 sectors are Type A triangles**:

Each set of the 7 enfolded Type B polygons has 687
yods. They comprise |
The centre of the 3-d Sri Yantra is surrounded
by 687 yods in the 43 Type A triangles that are not their corners. |

Furthermore, these 687 yods comprise **15** black yods, namely, two yods on the root edge that
are associated with the other set of enfolded polygons, seven centres of polygons and six more yods on the
vertical, internal sides of the hexagon that are shared with triangles in the outer Tree of Life because they line
either its Pillar of Judgement or its Pillar of Mercy, as well as 672 unshared, coloured yods that surround the
seven centres. In the inner Tree of Life, this **15**:672 division differentiates between those yods
that are either associated with the other set of polygons or shared with the outer Tree of Life and those yods that
are intrinsic to the inner Tree of Life and surround centres of polygons. In the 3-dimensional Sri Yantra, this
division distinguishes between the yods that make up the central triangle symbolising the trimûrti of Shiva, Vishnu
& Brahma and the yods that belong to the 42 triangles surrounding the central one. What more convincing
evidence of the *equivalence* of two sacred geometries could be offered? It is ridiculous to ascribe
this matching to chance because consistency then demands that all other examples of correspondences between the Sri
Yantra and sacred geometries discussed elsewhere in this website must be regarded, likewise, as coincidental — the
probability of which is extremely small, making it highly implausible that they could *all* be due to
chance. The two yod populations are the same for the simple reason that the two sacred geometries are isomorphic
representations of the *same* thing — namely, the 4_{21} polytope (see 4-d sacred geometries), whose 240 vertices determine the
symmetry group E_{8} governing the E_{8}×E_{8} heterotic superstring forces
that build the universe. Being isomorphic, they embody the *same* parameters characteristic of
holistic systems, such as this superstring. It is shown in 4-d sacred geometries that
the inner form of 10 overlapping Trees of Life is the 4_{21} polytope representing these forces,
whilst their outer form is the UPA/subquark state of the E_{8}×E_{8} heterotic superstring.
What is being revealed here are two versions of the same cosmic blueprint, which — being isomorphic — embody the
same, universal parameters of holistic systems.

As

**15 ^{3}** −

672 = (**15 ^{3}**−

and

687 = 672 + **15** = (**15 ^{3}**−

This shows how YAH (יה), the shortened Godname of Chokmah with number value
**15**, prescribes the yod populations of the inner Tree of Life and the 3-dimensional Sri Yantra
when both are constructed from Type A triangles. The complete Godname YAHWEH (יהוה) with
number value **26** prescribes the number 672 as well
because

672 = 4×**168** = 2^{2}(13^{2}−1) = **26**^{2} −
4.

This leads to the arithmetic connection between the numbers **15** and
**26**:

**15**^{3} = 5(**26**^{2}−1),

or

**26**^{2} = 1 +
3×**15**^{2}.

The number of yods in a Type B n-gon = **15**n + 1. A Type B triangle (n=3) has (1
+ 3×**15** = 46) yods. Hence, this arithmetic identity has a geometrical expression in terms of a
Type B triangle, the centre of which is assigned the integer 1 and whose 45 yods surrounding it are assigned the
number **15** of YAH:

Notice that **26**^{2} is the number of elements in the
**26**×**26** metric tensor g_{μν} (μ, ν = 0-25) of the **26**-dimensional
space-time predicted by quantum mechanics for spinless strings. The Type B triangle has 46 yods, where 46 is the
human diploid number. Here, therefore, is an *arithmetic relation* generated by the Pythagorean
tetractys between the dimensionality of this space-time and the number of chromosomes in the nucleus of the
human cell. There are four elements in the diagonal of the 4×4 metric tensor η_{μν} of 4-dimensional, Minkowski
space-time that became the corner-stone of Einstein's Special Relativity. They are: −1, 1, 1 & 1. Hence, 672
(=**26**^{2}−4) is the number of metric tensor elements in **26**-dimensional
space-time other than these four elements, which are the only non-zero elements of η_{μν}. They comprise
(**26**−4=22) diagonal elements and (672−22=650=**65**×10) off-diagonal elements,
where **65** is the number value of ADONAI, the Godname of Malkuth. This Godname is used by
Jews as a substitute for YAHWEH, "the Ineffable Name of God," whenever they recite their scriptures.

* The bindu is omitted from the diagram to avoid creating the false impression that it is meant to be counted with all the other yods.

** For proof, see #72 at Wonders of correspondences.

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