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**#21 ADONAI MELEKH prescribes the combined outer &
inner Trees of Life**

We saw in #19 that ADONAI MELEKH with number value
**155** prescribes the superimposed outer and inner Trees of Life when their triangles and
polygons are both Type B because 1550 (=**155**×10) yods line their tetractyses. It will now be
shown that this complete Godname of Malkuth with the pentagramic representation shown in #11 also prescribes them when the outer Tree consists of Type A
triangles and the polygons of the inner Tree are Type B.

There are 10 yods inside each of the 16 Type A triangles of the outer Tree of Life, which have
10 corners and 22 sides, with two hexagonal yods on each one. Number of yods in outer Tree of Life = 16×10 +
22×2 + 10 = 214. Of these, 10 turquoice yods are Sephiroth and 10 other yods (four hexagonal yods on each side
pillar and the two hexagonal yods on the Chesed-Geburah Path) are shared with the hexagons and triangles of the
inner Tree of Life, leaving **194** black yods, where **194** is the number
value of *Tzadekh*, the Mundane Chakra of Chesed. The inner Tree of Life has 1370 yods when its (7+7)
enfolded polygons are Type B (see here). Of these, four yods line the root edge and five turquoice yods
in each set of seven polygons are centres of the triangle, square, pentagon, octagon & dodecagon that do not
also coincide with corners of polygons. The number of yods in the (7+7) enfolded polygons outside their root
edge that surround the centres of these 10 polygons = 1370 − 4 − 5 − 5 = 1356. The total number of yods other
than Sephiroth in the outer & inner Trees of Life that are outside the root edge and which surround these
centres = **194** + 1356 = 1550 = **155**×10. It is amazing that the
*same* number appears in two different contexts. It does so because, as the number value of the
complete Godname of Malkuth, the number **155** quantifies in each case the
*form,* or Malkuth aspect, of the combined outer & inner Trees of Life when constructed from
tetractyses. As **155** is the sum of the first 10 integers after 10:

11 | ||||

12 | 13 | |||

155 = |
14 | 15 |
16 | |

17 | 18 | 19 | 20, |

1550 is 10 times the sum of the first 10 integers after 10, demonstrating how the Decad
arithmetically determines this yod population of the combined Trees of Life. See #11 for how the 10-sided decagon represents the number
**155**.

**48** of the 214 yods in the outer Tree of Life are centres of tetractyses. Therefore,
(214−**48**=166) yods line the (22+**48**=70) sides of its
**48** tetractyses. **26** of these are corners, leaving
**140** hexagonal yods, where **26** is the number value of YAHWEH, the
Godname of Chokmah, and **140** is the number value of *Masloth*, the Mundane Chakra
of this Sephirah. The seven yods lining each side pillar of the Tree of Life and the two hexagonal yods in the
path connecting Chesed and Geburah are shared with the polygons of the inner Tree of Life, so that
(166−16=150=**15**×10) yods lining sides of tetractyses in the outer Tree are intrinsic to it,
where **15** is the number of YAH, the older version of the Godname assigned to Chokmah. Ten
of the 166 yods lining the 70 sides of the **48** tetractyses are Sephiroth, leaving 156
yods, where 156 is the **155**th integer after 1. This shows how ADONAI MELEKH prescribes the
*shape* of the outer Tree of Life with Type A triangles. Starting with the 10 Sephiroth at the
corners of the 16 triangles of the Tree of Life and with Daath at the centre of the triangle with Chokmah,
Binah & Tiphareth at its corners, (166−10−1=**155**) yods are needed to line the 70 sides of
the **48** tetractyses (see diagram opposite). Starting with a single point (Kether), 165
yods are needed to delineate these tetractyses in the outer Tree of Life, where

165 = 1^{2} + 3^{2} + 5^{2} + 7^{2} +
9^{2}.

The 16 Type A triangles in the outer Tree of Life have **48** sectors; the
(7+7) Type B enfolded polygons consist of **282** triangles. Combined, they comprise 330
triangles, where

33 | ||||

33 | 33 | |||

330 = | 33 | 33 | 33 | |

33 | 33 | 33 | 33 |

and 33 = 1! + 2! + 3! + 4!. This number with well-known Masonic significance is, therefore, a measure of the geometry of the combined outer & inner Trees of Life. Amazingly, the number 33

alsodetermines the yod population of the inner Tree of Life with Type A polygons, for this is 1370 (see here), which is the number of yods in 137 tetractyses, where 137 (the mysterious, dimensionless number in atomic physics whose reciprocal is the approximate value of the fine-structure constant) is the 33rd prime number!

As

55 = 1^{2} + 2^{2} + 3^{2} + 4^{2} +
5^{2}

and

385 = 7×55 = 1^{2} + 2^{2} + 3^{2} + 4^{2} +
5^{2} + 6^{2} + 7^{2} + 8^{2} + 9^{2} +
10^{2},

330 = 385 − 55 = 6^{2} + 7^{2} + 8^{2} +
9^{2} + 10^{2}.

The number of yods in n overlapping Trees of Life is given by

Y(n) = **50** + 20.*

Therefore, the number of yods in every **31** Trees = Y(n+**31**)
− Y(n) = **31**×50 = 1550. As we found above, this is the number of yods other than Sephiroth in
the outer & inner Trees of Life that are outside the root edge and surround the (5+5) independent centres of
polygons. We conclude that EL, the Godname of Chesed with number value **31**, prescribes the yod
population of the combined Trees.

* Proof: when they are turned into tetractyses, the (12n+4) triangles of n overlapping Trees of
Life have (6n+4) corners and (16n+6) sides, two hexagonal yods lying on each side. The number of yods in n
overlapping Trees = 6n + 4 + 2(16n+6) + 12n + 4 = **50**n + 20.

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