<< Previous 1... 12 13 [14] 15 16 ...17 Next >> |

** 14. The dodecagons in the inner form of 10 Trees of
Life embody the 16800 turns in the 10 helical whorls of the UPA
**

When their sectors are 2nd-order tetractyses, the 20 dodecagons in the inner form of 10 Trees of Life contain 16800 yods outside their root edges that surround the centres of sectors. They denote the 16800 circular turns of the 10 helical whorls of the UPA. The 240 centres of all their sectors denote the 240 gauge charges of the E _{8} symmetry group, the UPA being an
E_{8}'-singlet state of
the E_{8}×E_{8}' heterotic superstring. |

The 2nd-order tetractys is the third member of an infinite series of tetractyses, beginning with a mathematical point (0th-order tetractys), then the 1st-order tetractys, etc. The 10 1st-order tetractyses contains 85 yods, where

85 = 4^{0} + 4^{1} + 4^{2} + 4^{3}.

Of these, **15** yods are corners of 1st-order tetractys and 70 yods are
hexagonal yods, there being 7 such yods per 1st-order tetractys. 84 yods surround its centre, where

84 = 1^{2} + 3^{2} + 5^{2} + 7^{2}.

13 yods line each side of the 2nd-order tetractys. This means that, when each of the n sectors
of an n-gon are turned into 2nd-order tetractyses, there are (85−13=**72**) yods per sector, so that
the number of yods in the n-gon = **72**n + 1. They consist of (10n+1) corners of 1st-order
tetractyses and **62**n hexagonal yods. **62** is the number value of
*Tzadkiel*, the Archangel of Chesed. The dodecagon (n=12) has 865 yods. Two separate dodecagons have 1730
yods, 1728 (=12^{3}) yods surrounding their centres. When they are joined together, 13 yods on one side of
a dodecagon disappear, leaving (1730−13=1717) yods. (1717−13=1704) yods are outside their shared root edge, 852
yods in each dodecagon. (852−12=840) such yods surround the centres (denoted in the picture above by black dots) of
the 12 sectors. Outside the root edge of the two joined dodecagons are (840+840=1680) yods that surround the
(12+12=24) centres of their sectors. The (10+10) dodecagons that are part of the inner form of 10 Trees of Life
have (8400+8400=16800) yods surrounding the 240 centres of their sectors. As the last of the regular polygons
making up the inner form of the Tree of Life, the dodecagon has been shown in many pages of this website to embody
the structural parameter **168** of the UPA as the number of turns in a half-revolution of a
whorl. We now discover that, constructed from 2nd-order tetractyses, the dodecagons in 10 Trees of Life embody the
structural parameter 16800 of the UPA as the number of turns in all its whorls. Single Trees represent single
whorls, the 840 yods in each half of its inner form denoting the 840 turns in an outer or an inner half of the
whorl, each half making 2½ revolutions around the axis of the UPA. The 10 whorls make 25 revolutions in the outer
half of the UPA and another 25 revolutions in its core, i.e., **50** revolutions in total,
showing how the Godname ELOHIM with number value **50** prescribes the form of the UPA as the
subquark state of the E_{8}×E_{8}' heterotic superstring.

In terms of the correspondence between the Tree of Life and the 1st-order tetractys (see
here), the hexagonal yod at the centre of a 1st-order tetractys corresponds
to Malkuth. It signifies the physical level of manifestation of whatever holistic entity the tetractys
represents. Similarly, the central 1st-order tetractys symbolises the Malkuth aspect of whatever entity the
2nd-order tetractys represents, whilst its central hexagonal yod denotes the Malkuth level of that aspect. In
the case of the E_{8}×E_{8}' heterotic superstring, this yod denotes one of the 240 gauge
charges of E_{8}. What the 16800 yods surrounding the 240 centres of the dodecagons enfolded in 10 Trees
mean is that these centres denote the gauge charges, which, spread along the 10 whorls, manifest in 4-d
space-time as 16800 circularly polarised waves, being clockwise or anticlockwise according to whether the UPA is
of the positive or negative type.

<< Previous 1... 12 13 [14] 15 16 ...17 Next >> |