<< Previous 1... 12 13 [14] 15 16 ...24 Next >> |

**14. Pentagramic representation of the geometrical
composition of the 4 _{21} polytope**

The simplest construction of the pentagram from tetractyses requires 61 yods:

As this is the same number of yods as that present in the Type B square, all the Type B square
representations of various parameters of the 4_{21} polytope and the UPA shown above can be replaced
by pentagrams constructed from tetractyses whose yods are similarly weighted. Both geometric figures express the
number 60, which is a parameter of holistic systems, being, for example, the number of hexagonal yods in the Tree
of Life:

and the number of hexagonal yods in the Type A dodecagon:

The next level of construction of the pentagram from Type A triangles with 19 yods requires 151
yods because each point of the star then has **15** yods outside its base, whilst the Type B
pentagon has **76** yods, so that the pentagram contains (**76** +
5×**15** = 151) yods. Enclosed in a square, it reproduces the number value
**155** of ADONAI MELEKH, the complete Godname of Malkuth. Alternatively, three nested pentagrams
enclosed in a square also constitute a representation of this Godname:

We found in #12 that the number of vertices, sides and triangles in the faces
and interior of the 4_{21} polytope = 74400 = 310×240 = **155**×480. Assigning the
number 480 (the number of roots of E_{8}×E_{8}) to the **155** yods generates
the number of points, lines & triangles making up this polytope. As 74400 = **31**×2400, this
number is the number **31** of EL, the Godname of Chesed, multiplied by the 2400 space-time
components of the 240 gauge fields associated with the 240 roots of E_{8}, as represented in
8-dimensional space by the vertices of the 4_{21} polytope. As 2400 =
160×**15** = 16×10×**15**, 74400 =
**31**×16×10×**15** = 4960×**15**. This means that the number of
points, lines & triangles in the 4_{21} polytope is the product of the number
**15** of YAH (the shortened version of YAHWEH, the Godname of Chokmah) and the number of
space-time components of the **496** gauge fields that transmit superstring forces free of
quantum anomalies. As

1^{2} + 2^{2} + 3^{2} + ... +
**15 ^{2}** =

74400 = **496**×150 =
60×(1^{2}+2^{2}+3^{2}+...+**15 ^{2}**). Assigning the sum of the
squares of the first

Weighted with the
number 280 of Sandalphon, the Archangel of Malkuth,
the 60 yods surrounding the centre of the Type A decagon generate the superstring structural
parameter 16800. |
Weighted with the
number 496 of Malkuth, the 150 yods surrounding the centre of the Type B decagon
generate the number of points, lines & triangles in the 4_{21} polytope whose 240 vertices
determine the roots of the superstring symmetry group E_{8}. |

<< Previous 1... 12 13 [14] 15 16 ...24 Next >> |