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#6 The inner Tree of Life and the 2-d Sri Yantra embody the same holistic parameter 236
Inner Tree of Life & Sri Yantra
When the 94 sectors of the 14 regular
polygons of the inner Tree of Life are turned into tetractyses, 236 yods line the 83 sides of the polygons. The
2-dimensional Sri Yantra comprises 68 vertices and 126 sides of the 42 triangles surrounding its central one, that
is, 236 geometrical elements. In both cases, the parameter 236 quantifies form — either the number of
yods lining the sides of the 14 polygons or the number of geometrical elements in the 42 triangles of the
2-dimensional Sri Yantra that surround its central one.
There are 232 yods outside the root edge lining the sides of the two sets of seven enfolded polygons. 232 is the 231st integer after 1, where
231 = 1 + 2 + 3 + 4 + .... + 21.
This is how EHYEH, the Godname of Kether with number value 21, prescribes the shape of the polygonal version of the inner Tree of Life.
Type B dodecagons
Further evidence that the number 236 is a signature of
holistic systems is the fact that 236 black, hexagonal yods outside the root edge line the sides of the
72 tetractyses making up the two enfolded, Type B dodecagons (see diagram below). Evidence
has been presented many times in this website that this pair of polygons constitutes a holistic system with
properties analogous to the Tree of Life. For example, associated with each Type A dodecagon are 70 yods that
surround their centres — a property that corresponds to the 70 yods in the Tree of Life with its triangles turned
into tetractyses (see here). The two separate Type B dodecagons have
26 corners of sectors and 50 corners of
72 tetractyses. This shows how YAHWEH with number value 26 and
ELOHIM with number value 50 prescribe the pair of dodecagons as a holistic object.
Enfolded, their centres are surrounded by 24 sectors with 24 corners and 48 corners of
tetractyses, where 48 is the number value of Kokab, the Mundane Chakra of Hod.
This 24:24 division is characteristic of holistic systems displaying a property quantified by the number
48, as has been demonstrated in many of the research articles on this website. The number of
yods lining the sides of the 72 tetractyses = 2 + 48 + 236 = 286.
282 such yods are outside the root edge, where 282 is the number
value of Aralim, the Order of Angels assigned to Binah. 280 such yods outside the
root edge surround the centres of the two Type B dodecagons, shaping their tetractyses, where
280 is the number value of
Sandalphon, the Archangel of Malkuth. The appearance of a number associated with the Sephirah Malkuth is highly significant because the Type B dodecagon has 168 yods other than its corners and centre, where 168 is the number value of Cholem Yesodeth, the Mundane Chakra of Malkuth (see here). Outside the root edge of two enfolded Type B dodecagons are 46 corners and 118 sides (22 polygonal) of 72 triangles, that is, 68 corners & polygonal sides, leaving (96+72=168) sides & triangles. This 68:168 division in its (46+118+72=236) corners, sides & triangles corresponds to the 68 vertices & 168 sides & triangles in the 42 triangles of the 2-dimensional Sri Yantra discussed earlier. It also corresponds to the 68 yods lining the sides of the two enfolded dodecagons and the 168 yods lining the sides outside the root edge of the first (6+6) enfolded polygons. Moreover, 168 yods are associated with each enfolded dodecagon other than their 22 corners (see (7) under heading "Type B dodecagon" here). Indeed, 155 hexagonal yods are associated with each enfolded Type B dodecagon, where 155 is the number value of ADONAI MELEKH, the complete Godname of Malkuth (see (2) under heading "Type B dodecagon" here). Here is a chance-defying conjunction of three numbers (155, 280 & 168) that are associated with the same Sephirah Malkuth!
We see that the number 236 once again appears as the number of geometrical elements needed to create the two joined, Type B dodecagons, starting with their shared side. As with the inner Tree of Life and the 2-dimensional Sri Yantra, it quantifies the form of the sacred, geometrical system. The sum of the Godname numbers of Binah, Geburah & Hod (the Sephiroth on the Pillar of Judgement expressing archetypal form) is:
50 + 36 + 153 = 239,
which, appropriately, is the total number of geometrical elements composing the form of the two enfolded Type B dodecagons, including their shared side. This is amazing evidence of the transcendental design of the Tree of Life, implemented by the Divine Names.
Tetrahedral Lambda
The holistic parameter 236 appears in the Tetrahedral Lambda in the following way: the sum of the 16 integers lining the six edges of this tetrahedron is 300. The largest of these is the number 64, where 64 is the number value of Nogah, the Mundane Chakra of Netzach. Hence, the sum of the remaining 15 integers = 300 − 64 = 236 (they are coloured red and blue). The Godname YAH with number value 15 prescribes the archetypal number 236. Excluding those counted in the preceding face, the sums of the integers below 64 on the sides of the four faces are:
Face 1 (Lambda Tetractys): 1 + 2 +
3 + 4 + 9 +
8 + 12 + 18 +
27 = 84;
Face 2 (integer 8 at centre): 4 + 16 +
16 + 32 = 68;
Face 3: (integer 12 at centre): 36 + 48 = 84;
Face 4: (integer 24 at centre): all integers belong to Faces 1, 2, & 3.
We see that, when the natural ordering of faces is followed according to the increasing sizes of the integers at their centres: 6→8→12→24, the 11 red integers in Faces 1 & 3 add up to 168 and the 4 blue integers in Face 2 sum to 68. The 68:168 division, which we saw above is characteristic of holistic systems, therefore, manifests as well in the Tetrahedral Lambda in the various sums of new integers on edges of its first three faces. Moreover, the number 168 splits into two 84s generated by Faces 1 & 3, a division that is also characteristic of sacred geometries. For example, in the case of the inner Tree of Life, there are 84 yods lining each set of the first six enfolded polygons and, in the case of the 2-dimensional Sri Yantra, each of the two sets of 21 triangles surrounding the central one has 84 sides & triangles (see here). Their counterparts in the E_{8}×E_{8} heterotic superstring are the 84 turns in a quarter-revolution of each helical whorl of the UPA about its axis of spin, as described over a century ago by Annie Besant & C.W. Leadbeater (see here), i.e., each outer or inner half-revolution of a whorl contains 168 turns.
1-tree
We found earlier that the inner Tree of Life embodies the number 236 as the number of yods lining the sides of its
14 enfolded regular polygons, there being 68 yods on the sides of the pair of enfolded dodecagons and
168 yods on the sides of the first (6+6) enfolded polygons. How does the outer Tree of Life
embody this parameter? As it contains only 214 yods when its triangles are Type A, the number can only be a
parameter of the 1-tree, which has 251 yods. Let us now analyze how they are distributed.
The trunk of the Tree of Life is the sequence:
Constructed from Type A triangles, the trunk contains 80 yods, where 80 is the number of Yesod. Hence, it has 70 yods other than the 10 yods located at the positions of the 10 Sephiroth. Two hexagonal yods lie on the "line" making up the trunk, so that 68 yods belong to the triangle & tetrahedron, that is, the components of the trunk that have shapes. They are shown in the 1-tree opposite as blue yods. The branches of the outer Tree of Life are the lines & triangles outside its trunk. As the 1-tree contains 251 yods when its 19 triangles are Type A, its branches contain 251 − 80 = 171 yods. One of them is Daath of the 1-tree, which is Yesod of the next higher, overlapping Tree. Of the 170 yods in the branches that are not SLs, two green yods are hexagonal yods on the Path connecting Daath and Tiphareth. As the 1-tree is a 3-dimensional object, this line does not coincide with the root edge shared by the 14 enfolded polygons, which lie in the plane containing the two side pillars. Nor does the line connecting Tiphareth to the centre of the triangle with Chokmah, Binah & Tiphareth at its corners. It, too, contains two green hexagonal yods. The root edge is the projection of either line onto the plane of the polygons. Hence, the branches of the 1-tree have four green hexagonal yods whose projections onto this plane are the two hexagonal yods in the root edge. Including the two hexagonal yods in the "line" component of the trunk, (2+170−4=168) red yods outside these lines that are not SLs belong to the 1-tree. There are (68+168=236) red & blue yods in the 1-tree other than the 11 white yods at the positions of SLs and the four green hexagonal yods lying on sides of tetractyses that project onto the root edge. The 1-tree displays the same 68:168 division as that found above for its inner form, the 2-dimensional Sri Yantra, the Tetrahedral Lambda and the pair of enfolded Type B dodecagons. This is because they are all different manifestations of the same holistic system. The 68 blue yods making up the triangle and tetrahedron components of the trunk correspond to the 68 vertices of the 42 triangles in the 2-dimensional Sri Yantra, whilst the 168 red yods correspond to its 168 sides & triangles.
The four green hexagonal yods are analogous to the three sides and lowest corner of the central triangle in the 2-dimensional Sri Yantra that are unshared with any of the 42 triangles composed of 236 geometrical elements. In each case, they represent the source of the information-encoded geometry quantified by the number 236. The bindu point at the centre of the triangle prevents the latter from being a proper one in the pure, mathematical sense of the word "triangle" because the point lies in the plane of the triangle, so that the 236 elements surround four elements in it, not five. This means that 240 elements surround the centre. They are the counterpart of the 240 yods in the 1-tree other than its 11 SLs. The two joined Type B dodecagons have 239 geometrical elements. The 2-dimensional Sri Yantra is analogous not to them but to two separate dodecagons, which have 240 geometrical elements surrounding their centres, as well as 240 hexagonal yods on the 120 sides of their 72 tetractyses.
The embodiment of the number 236 in sacred geometries is also discussed in #43. As 236 = 10^{2} + 6^{2} + 10^{2} and the square, n^{2}, of any integer n is the sum of the first n odd integers:
n^{2} = 1 + 3 + 5 + ... + 2n−1,
the holistic parameter 236 is arithmetically determined by the gematria number value 26 of the Godname YAHWEH because it is the sum of (10+6+10=26) odd integers. This is how YAHWEH prescribes the form of the inner Tree of Life determined by the 236 yods on the boundaries of the (7+7) enfolded polygons, as well as the shape of the 2-dimensional Sri Yantra with 236 geometrical elements surrounding its central triangle.
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