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1680 yods in 10-pointed star

Although not sacred geometry, this diagram demonstrates the extraordinary power of the tetractys to reveal scientifically significant numbers embodied in some geometrical objects. A 2nd-order tetractys is part of a triangular array of 91 yods, 13 yods in each side, i.e., 91 is the thirteenth triangular number. Two such arrays with their bases joined together create a parallogram with 169 yods. Therefore, 1680 yods surround the centre of a 10-pointed star whose "points" are these parallograms. This representation is made more significant still by the fact that the inner half of each parallelogram has 90 yods outside its corner, the remainder having 78 yods. These numbers are the respective number values of Yesodeth and Cholem in the Kabbalistic name of the Mundane Chakra of Malkuth. The representation expresses the ten-fold nature of every whorl of the UPA/superstring. It embodies the holistic parameter 240 as the 240 corners of the 200 blue & red tetractyses that surround the centre of the star. It also embodies the holistic parameter 137 because 137 yods line the 60 sides of the 20 coloured tetractyses in each parallelogram. They have 660 (=66×10) hexagonal yods in each pentagrammic half of the star. As 66 is the 65th integer after 1, ADONAI, the Godname of Malkuth with number value 65, prescribes this representation of the superstring structural parameter 1680. There are 120 hexagonal yods at the centres of the triangular "gaps" between tetractyses. Hence, (1680 – 120 = 1560 = 156×10) yods make up the 200 tetractyses. As 156 is the 155th integer after 1, ADONAI MALEKH, the complete Godname of Malkuth with number value 155, prescribes this representation.

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