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6. A 3rd-order tetractys representation of the compound of two 600-cells
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The 600-cell has 1200 triangular faces. |
The 600-cell has 1200 triangular faces. |
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The two 600-cells are formed from 2400 separate triangles with (7×2400=16800) geometrical elements. |
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The 600-cell has 1200 triangular faces. A triangle has three corners, three sides & a triangular area, i.e., seven geometrical elements. 1200 separate triangles with (7×1200=8400) geometrical elements come together to form the 600-cell with 840 vertices & edges. The compound of two concentric 600-cells is formed from 2400 separate triangles with (8400+8400=16800) geometrical elements. Compare this with the UPA, whose outer & inner halves are each composed of 8400 turns of 10 helices. Here is further, striking confirmation of the fundamental relevance to superstring theory of the UPA's structural parameter 16800 paranormally discovered by Annie Besant & C.W. Leadbeater through their remote-viewing of subatomic particles. As a structural building block of the 600-cell, each of the seven geometrical elements in a triangle is repeated 2400 times in the separate triangles that form the 2400 faces of the two 600-cells. Every element in these 2400 separate triangles manifests in the E8×E8 heterotic superstring described by the two Theosophists as one of the 16800 turns of a helical whorl of the UPA. This is remarkable evidence supporting the objectivity of their micro-psi ability. No sceptic can argue with an iota of plausibility that this matching of numbers could be just coincidence, especially as these 16800 geometrical elements contain the 1680 vertices & edges of the 2400 faces of the two 600-cells — the very number of turns in each helical whorl! Notice that the 2400 separate triangles comprise 7200 corners and 7200 sides. Apart from the factor of 10, this pattern appears in the outer and inner Trees of Life as the 240 yods other than Sephiroth in the 1-tree with Type A triangles and the 720 yods surrounding the centres of each set of seven separate polygons that make up its inner form (see Fig. 7 in #1). As shown in Fig. 7, the 240:720:720 division also manifests in the first four Platonic solids and in the disdyakis triacontahedron. It is a basic expression of the 1:3:3 division of the seven Sephiroth of Construction into a singlet (Malkuth) and two triads (Chesed-Geburah-Tiphareth & Netzach-Hod-Yesod).
A 3rd-order tetractys has 49 yods along each side. As 492 − 1 = 2400 and 16800 = 7×2400, the centre of a 7-pointed star whose points are parallelograms 49 yods long is surrounded by 16800 yods. All the 2400 yods in a point of the star denote the 2400 geometrical elements of a particular type that make up the 2400 separate triangles that constitute two 600-cells. The seven points of the star denote the seven types of elements. 49 is the number of EL CHAI, the Godname of Yesod. The Pythagorean integers 1, 2, 3 & 4 express the 2400 yods in each point that surround the centre of the star:
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11 |
12 |
13 |
14 |
43 |
44 |
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21 21 |
22 22 |
23 23 |
24 24 |
33 33 |
34 34 |
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2400 = |
31 31 31 |
+ |
32 32 32 |
+ |
33 33 33 |
+ |
34 34 34 |
+ |
23 23 23 |
+ |
24 24 24 |
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41 41 41 41 |
42 42 42 42 |
43 43 43 43 |
44 44 44 44 |
13 13 13 13 |
14 14 14 14 . |
They also express the 16800 yods in the 7-pointed star symbolising the 16800 geometrical elements in the 2400 separate triangular faces of the two 600-cells:
The 1680 vertices & edges in the two 600-cells have an analogous expression:
The two tetractyses within the brackets are the first two terms within the brackets for the expression of the number 16800.
The 7-pointed star representation of the superstring structural parameter 16800 is also discussed here.
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