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__Heptagon with Type A triangles as sectors__

A symbol of the seven-fold nature of Man and the seven Sephiroth of the spiritual cosmos, the heptagon has 91
hexagonal yods when its sectors are Type A triangles. Each denotes one of the subplanes of the seven cosmic planes
of consciousness and one of the Trees of Life in CTOL. The **49** coloured, hexagonal yods either
at the centres of tetractyses or lining their sides denote the **49** Trees of the
**49**-tree that maps the cosmic physical plane; the 42 white hexagonal yods on sides of tetractyses
inside each sector of the heptagon denote the 42 Trees of Life above the **49**-tree that map the 42
subplanes of the six cosmic superphysical planes. This is the *single*, polygonal representation of
CTOL.

__Heptagon with 2nd-order tetractyses as sectors__

When its sectors become 2nd-order tetractyses, the 504 yods surrounding the centre of the heptagon denote the 504
SLs down to the top of the 7-tree, which is represented by its central yod. They are the counterpart of the 504
hexagonal yods that line the 126 tetractyses making up the 42 triangles of the Sri Yantra. Notice that there are 84
yods on the boundary of the heptagon. As they *shape* the polygons, it makes sense, intuitively
speaking, to regard them as corresponding to the 84 dark green SLs on the central pillar between the top of the
**49**-tree and the top of the 7-tree, for they belong to the Tree of Life map of the cosmic
*physical* plane — the Malkuth level of CTOL. The 7-tree is the Malkuth level of the
**49**-tree, which in turn is the Malkuth level of CTOL. The top of the 7-tree is the
**168**th SL on the Pillar of Equilibrium from the top of CTOL, where **168** is the
number of *Cholem* *Yesodeth*, the Mundane Chakra of Malkuth. This is amazing evidence of how
the gematria number values of the Sephiroth in the four Kabbalistic Worlds of Atziluth, Beriah, Yetzirah &
Assiyah quantify their properties as manifested in each World. The superstring structural
parameter **168** discovered by C.W. Leadbeater over a hundred years ago marks out the physical
universe from all superphysical levels of reality.

The ancients believed that the Earth was the centre of the universe — or so we now interpret
their beliefs. A deeper idea lies behind their regarding our planet as the centre of physical reality. It is that
Earth symbolized the *plane of physical awareness* that is the centre, or fulcrum, of the spiritual
cosmos (CTOL), which is encoded in the inner Tree of Life (see here) and represented by the Sri Yantra. In the Kabbalistic, astrological
correspondence between Sephiroth and astronomical bodies, the planet Earth is assigned to Malkuth at the bottom
of the Tree. It represents the Element Earth — the hard, solid substance of the material universe.

We saw on the previous page that the 3-dimensional Sri Yantra is equivalent to CTOL in that the 550 yods on the boundaries of the 126 tetractyses in its 42 Type A triangles and in its central, Type B triangle denote the 550 SLs in CTOL. The Type A heptagon has 42 yods surrounding its central yod. They correspond to the 42 triangles surround the central triangle in the Sri Yantra:

The number of yods in the Type C n-gon = 42n + 1. The Type C heptagon (n=7) has 295 yods. This is the number of yods in the seven separate Type A polygons of the inner Tree of Life:

This is also the number of SLs up to Chesed of the **49**th Tree of Life in CTOL.
In other words, this number measures the number of SLs in CTOL up to the first Sephirah of Construction of the Tree
of Life that maps the highest of the **49** subplanes of the cosmic physical plane and which
represents the *same* Sephirah, the first subplane of the Adi plane corresponding to Chesed. The seven
centres of the polygons, or the seven corners of the heptagon, are the counterpart of the lowest seven SLs of the
1-tree and the 288 remaining yods in either case are the counterpart of the next 288 SLs up to Chesed of the
**49**th Tree, where

288 = 1^{1} + 2^{2} + 3^{3} + 4^{4}

1^{0} |
|||||||

2^{1} |
2^{1} |
||||||

= | 3^{2} |
3^{2} |
3^{2} |
||||

4^{3} |
4^{3} |
4^{3} |
4^{3} |

As **248** + 47 = 295, there are **248** SLs up to Chesed of
the **49**th Tree beyond the 47th SL, which is the top of the 7-tree and the **168**th SL
on the Pillar of Equilibrium from the top of CTOL. This connects the superstring structural parameter
**168** to the dimension **248** of E_{8}, the rank-8, exceptional Lie
group describing E_{8}×E_{8} heterotic superstrings. The significance of this remarkable
relationship generated by the geometry of CTOL hardly needs to be emphasized. *It connects
the number (1680) of circular turns in each helical whorl of the UPA/subquark superstring remote-viewed by Besant
& Leadbeater to the dimension of the very Lie group predicted by superstring theory to govern the forces
between one of the five types of superstrings, just as we found on the previous page that the same number is
connected to the dimension 496 of the two types of symmetry groups describing superstring forces that are free of
quantum anomalies!* The Type C heptagon is a representation of the 295 SLs up to Chesed of the
**49**th Tree, just as the Type A **49**-gon is, because both polygons have 295 yods. As
the Type C heptagon is the *fourth* in the sequence of successive types of heptagons:

heptagon → Type A heptagon → Type B heptagon → Type C heptagon →

this illustrates the Tetrad Principle formulated in Article 1, according to which the *fourth* member of a class of
mathematical object is (or embodies) a characteristic parameter of holistic systems (in this case, the number
295). It is examplified *par excellence* by the Type C hexagon (the fourth class of the fourth type
of regular polygon), which contains **248** yods that are outside its root edge and which
surround its centre:

The two white yods denote the two simple roots of E_{8} that are not simple roots
(denoted by the six yellow yods) of its exceptional subgroup E_{6}, which has
**72** roots denoted by the **72** red yods, the remaining
**168** roots being denoted by the **168** blue yods. Also illustrated here is
the amazing power of the tetractys to reveal in sacred geometries numbers of prime significance to theoretical
physics (in this case, the dimension **496** of E_{8}×E_{8}′, one of the two
symmetry groups describing the forces between heterotic superstrings). See also here.

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