The outer Tree of Life embodies both the structural parameter 336 and the dynamical parameter 496 of E₈×E₈ heterotic superstrings

336 circular turns make up one complete revolution of a whorl of the UPA.   The gematria number value 496 of Malkuth is the dimension of E8×E8.

The outer Tree of Life consists of 16 triangles joined together so that they have 10 corners and 22 sides. It has 26 corners & triangles and 48 corners, sides & triangles. 26 is the number value of YAHWEH, the Godname of Chokmah, and 48 is the number value of Kokab, the Mundane Chakra of Hod. A triangle consists of three corners, three sides & a triangular area, i.e., seven geometrical elements. When separate, the 16 triangles have 48 corners and 64 sides & triangular areas, i.e., 112 geometrical elements, where 64 is the number value of Nogah, the Mundane Chakra of Netzach (the Sephirah preceding Hod), and 112 is the number value of Beni Elohim, the Order of Angels assigned to Hod. When the triangles combine to form the outer Tree of Life with simple triangles, (112−48=64) geometrical elements disappear.

Type A triangles → 336
When each triangle in the outer Tree of Life is a Type A triangle with three sectors, there are now (3×16=48) triangles with (10+16=26) corners and (3×16 + 22 = 70) sides, i.e., 144 geometrical elements, where 144 = 12² is the only Fibonacci number that is the square of an integer. If we imagine 48 separate triangles composed of (48×7=336) geometrical elements flying together to form the 48 sectors of the 16 triangles making up the outer Tree of Life, (336−144=192) geometrical elements disappear. Regarded as composed of 16 simple triangles with 22 sides, the outer Tree of Life is assembled from 16 separate triangles with 48 sides, i.e., 26 sides disappear in the assembly. Regarded as composed of Type A triangles, the outer Tree of Life is assembled from 48 simple triangles with 336 geometrical elements. This number quantifies how many different points, lines & triangles are needed to build the outer Tree of Life from simple triangles. It demonstrates the structural character of this number as a parameter of all sacred geometries. It manifests in the UPA, the subquark state of the E₈×E₈ heterotic superstring paranormally described by Annie Besant & C.W. Leadbeater, as the number of circular turns in one revolution of each whorl of the UPA. The inner Tree of Life is also formed from 48 triangles with 336 geometrical elements because its seven separate, regular Type A polygons have 48 sectors:

Type B triangles → 496

A Type B triangle is a Type A triangle with each sector itself divided into three smaller sectors. It has seven corners, 15 sides & nine triangles, i.e., 31 geometrical elements, where 31 is the number value of EL, the Godname of Chesed (E = 1 → the centre and L = 30 → 30 geometrical elements surrounding the centre). If the outer Tree of Life is imagined as assembled from 16 separate Type B triangles with (16×31=496) geometrical elements, we see that this is the dimension of E₈×E₈, namely, the number of its roots. The centres of the 16 separate Type B triangles are surrounded by 480 corners, sides & triangles (240 corners & triangles; 240 sides). They correspond to the 16 simple roots of E₈×E₈ and to its 480 roots (240 roots from each E₈; see here). This amounts to being a remarkable, geometrical analogy to the root composition of the heterotic superstring gauge symmetry group E₈×E₈. It is clear evidence that both these fundamental, structural and dynamical superstring parameters (the latter a group-theoretical property of the symmetry group governing superstring forces, the former a paranormally derived number) quantify the number of bits of geometrical information needed to build the outer Tree of Life from, respectively, Type A and Type B triangles. It is also convincing evidence that the superstring is the microscopic manifestation of the Tree of Life blueprint, for it is highly unlikely that both numbers could appear by coincidence in the construction of this object from Type A and Type B triangles. Additional evidence will be provided in later sections that discuss other sacred geometries.

496 is the third magic number*:

496 = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248,

where the nine integers are all the factors of 496. It is also the 31st triangular number:

496 = 1 + 2 + 3 +.... + 31.

As 496 = 16×31, the number of triangles in the Tree of Life = 16 = 496/31 = (1+2+3+...+31)/31, i.e., it is the arithmetic mean of the first 31 integers. The Godname EL ("God") therefore prescribes not only the number of triangles in the Tree of Life but also the number of geometrical elements in a single triangle when it is Type B, as well as the number of geometrical elements in 16 separate Type B triangles! Remarkably, the Type C triangle (the next type of triangle) contains 127 yods when constructed from tetractyses, where 127 is the 31st prime number. How this triangle embodies the dimension 248 of E₈ and the number 137 associated with the fine-structure constant is discussed here.

* A magic number is an integer that is the sum of its factors. The first two magic numbers are: 6 = 1 + 2 + 3, where 6 = 1×2×3, and 28 = 1 + 2 + 4 + 7 + 14, where 28 = 1×28 = 2×14 = 4×7.

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