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**#28 The Type C pentagon geometrically embodies the
fine-structure constant number 137**

The Type C pentagon has **26** corners & 70 sides of 45 triangles, i.e.,
141 geometrical elements. Two separate Type C pentagons have **282** geometrical elements, of
which **50** are corners surrounding their centres. **282** is the number
value of *Aralim*, the Order of Angels assigned to Binah, whose Godname ELOHIM has the number value
**50**. The number 70 is a parameter of holistic systems, being the number of yods in the Tree of
Life when its 16 triangles are tetractyses. The five black sides of the pentagon and the five black sides of its
sectors correspond to the (5+5) Sephirothic corners of these triangles. The 60 remaining red sides of the 45
triangles correspond to the 60 hexagonal yods in the Tree of Life constructed from tetractyses. This 10:60 pattern expresses the difference between Malkuth and the six
higher Sephiroth of Construction in the outer Tree of Life. Its counterpart in its inner form is the dodecagon and the six regular
polygons that precede it.

**140** geometrical elements in the Type C pentagon surround its centre, where
**140** is the number of *Masloth*, the Mundane Chakra of Chokmah, whose Godname YAHWEH
has the number **26**. 137 geometrical elements outside the root edge surround its centre. We see
that the geometrical composition of the Type C pentagon embodies the number
137 determining the fine-structure constant α = e^{2}/ħc ≅ 1/137
well-known to physicists, whilst the number of bones in the adult human skeleton is embodied in
its yods other than its corners (see #27).

ELOHIM, the Godname of Binah, prescribes the pair of joined
Type C pentagons because its number value **50** is the number of corners of their 90 triangles,
whilst YAHWEH prescribes the **26** corners of the 45 triangles in each pentagon. The two joined
Type C pentagons have 229 lines & triangles, where 229 is the **50**th prime number. ELOHIM
prescribes both the number of corners of the triangles in the two pentagons and the number of their sides &
triangles!

The pair of joined Type C pentagons has 189 corners & sides,
i.e., **187** corners & sides surround their two centres. **187** is the number of
*Auphanim*, the Order of Angels assigned to Chokmah. **95** corners & sides in a Type C
pentagon surround its centre, where **95** is the number value of *Madim*, the Mundane
Chakra of Geburah. A corner of each pentagon coincides with the centre of the decagon when it is
part of the inner Tree of Life. This means that surrounding the centre of each pentagon are 136 geometrical
elements outside the shared root edge that are intrinsic to this polygon in the sense that they are not part of
any other polygon in the inner Tree of Life. The pair of pentagons has **272** such
geometrical elements, where **272** is the number value of *Cherubim*, the Order of
Angels assigned to Yesod.

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