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**The 10-fold UPA/superstring as the 10-fold division in the
240 hexagonal yods in the seven separate polygons of the inner Tree of Life**

The seven separate polygons of the inner Tree of Life have **48** sectors,
where **48** is the number value of *Kokab*, the Mundane Chakra of Hod. As tetractyses,
they contain 240 hexagonal yods that divide into ten sets of 24, as now explained.

As a parameter of holistic systems, the number **48** displays a 24:24
division that is characteristic of them. For the seven polygons, this is the triangle, square, pentagon &
dodecagon, which have 24 sectors, and the hexagon, octagon & decagon, which, too, have 24 sectors. The only
other possible combinations of polygons with 24 sectors are firstly, the triangle, pentagon, hexagon &
decagon, and secondly, the square, octagon & dodecagon (the two possibilities arise because the triangle and
pentagon have the same number of sectors as the octagon). Just as the seven Sephiroth of Construction comprise
two triads: Chesed-Geburah-Tiphareth and Netzach-Hod-Yesod, and Malkuth, so research by the author has confirmed
that this 3:3:1 pattern exists for the seven polygons of the inner Tree of Life, i.e, they group into
triangle-square-pentagon, hexagon-octagon-decagon & dodecagon. Only the former combinations of polygons
respect this grouping because the latter combinations are each taken from *both* sets of three
polygons. Although, arithmetically speaking, either pair of combinations is possible because each combination
has 24 corners, the former will be considered here because it preserves the analogy with the Tree of Life. There
are five hexagonal yods per sector. Therefore, the 240 hexagonal yods comprise 24 sets of five in the triangle,
square, pentagon & dodecagon and 24 sets of five in the hexagon, octagon & decagon. Alternatively, they
may be regarded as five sets of 24 and another five sets of 24, i.e., as *ten* sets of 24. This 5:5
differentiation reflects the division of the Tree of Life into the so-called "Upper Face" spanned by the highest
five Sephiroth and the "Lower Face" spanned by the lowest five Sephiroth. It arises here from the primary
division of the **48** sectors into *two* sets of 24.

The diagram displays the ten sets of 24 hexagonal yods, the yods in each set having the same
colour. Each colour corresponds to one of the ten Sephirah. The white, light grey & dark grey yods
correspond to the Supernal Triad, which, being part of the Upper Face, means that these yods belong to the
triangle, square, pentagon & dodecagon. The question is: which of the five hexagonal yods in each sector
should the white, light grey & dark grey hexagonal yods be? For overlapping Trees of Life, Kether, Chokmah
& Binah of a given Tree become Tiphareth, Netzach & Hod of the next higher Tree, whilst Tiphareth is
Malkuth of the next higher Tree, symbolized by the hexagonal yod at the centre of a tetractys. These Sephiroth
of Construction belong to *different* triads. Hence, the white, light grey and dark grey hexagonal
yods are the central hexagonal yod and the two hexagonal yods either on a side of a polygon or on an internal
side of a tetractys. The latter possibility has been chosen here.

The ten sets of 24 hexagonal yods symbolize the ten whorls of the UPA/subquark state of the
E_{8}×E_{8} heterotic superstring. The white hexagonal yods at the centres of the 24
sectors in the triangle, square, pentagon & dodecagon denote the 24 E_{8} gauge charges carried
by the first major whorl, the light grey hexagonal yods denote the 24 E_{8} gauge charges carried
by the second major whorl, etc. The ten-fold pattern of the distribution of hexagonal yods arises from the facts
that there are five such yods per sector and that the **48** sectors of the seven polygons
divide into two sets of 24.

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