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**The 10-fold UPA/superstring as the 10-fold division in the
yods on edges of tetractyses in the pair of Type A decagons
**

The sixth regular polygon in the inner form of the Tree of Life is the decagon. Constructed from
tetractyses, it is the polygonal representation of ten overlapping Trees of Life because its 61 yods
correspond to the 61 SLs up to Chesed of the tenth Tree. Each sector is the counterpart of a Tree, the six
yods per sector being the counterpart of the six SLs per Tree. In the Type A decagon, 120 yods line the
**50** sides of its 30 tetractyses and surround its centre. There are 12 boundary yods per
sector. The two Type A decagons have (120+120=240) yods surrounding their centres that line the 100 sides of
their 60 tetractyses. They comprise (12+12=24) boundary yods per pair of sectors. Therefore, the 240 boundary
yods consist of ten sets of 24 yods. Three pairs of sectors (coloured white, grey & dark grey) have
(3×24=**72**) boundary yods and the remaining seven pairs of sectors with the seven colours of a
rainbow have (7×24=**168**) boundary yods. Starting from a point (centre of decagon), 240 yods
are needed to delineate the tetractyses that make up two Type A decagons, 24 per pair of sectors. This
**72**:**168** pattern is analogous to what was discussed on the previous page.
Instead of ten geometrical elements, each repeated (12+12) times, we now have (12+12) yods that are repeated
ten times.

The first six enfolded polygons up to the decagon have **26** corners. One of
the corners is an endpoint of the root edge shared not only amongst the six polygons but also with the mirror
image set of six polygons. When sets of polygons enfolded in overlapping Trees of Life are considered, the
topmost corner of the hexagon coincides with the lowest corner of the hexagon enfolded in the next higher Tree.
This means that 25 corners of the set of six enfolded polygons are intrinsic to that set, of which one corner
(an endpoint of the root edge) can be associated with that set and one corner can be associated with the mirror
image set. Hence, 24 intrinsic corners are associated with the set of of polygons enfolded in each Tree. The 60
polygons of the first six types enfolded in ten overlapping Trees of Life have 240 corners that consist of 24
corners repeated ten times.

The Decad (10) defines both the decagon with *ten* sides and the
*tenth* polygon — the dodecagon. The pair of either polygon embodies ten sets of 24 geometrical
elements or yods the microscopic manifestation of which are the 24 E_{8} gauge charges carried by
each of the ten whorls of the UPA, the subquark state of the E_{8}×E_{8} heterotic
superstring. Here is yet more evidence provided by sacred geometry of the ten-fold nature of the basic unit of
matter paranormally described by Annie Besant & C.W. Leadbeater.

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