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Equivalence of the 2nd-order tetractys and the Lambda Tetractys

As the Pythagorean representation of holistic systems, the 2nd-order tetractys is equivalent to the Lambda Tetractys in the following way: the former is generated from an underlying triangular array of 91 points (Fig. 19), where

91 = 12 + 22 + 32 + 42 + 52 + 62.

90 points surround its centre (black yod):

90 = 22 + 32 + 42 + 52 + 62 = 54 + 36,

 

(6+48+36) division in 2nd-order tetractys

 

 

 

36 green yods
48 blue yods
6 red yods

 

Figure 19. The 6:48:36 pattern of yods in the 2nd-order tetractys.

where 54 = 22 + 32 + 42 + 52 and 36 = 62. The latter measures the green yods either at corners of 1st-order tetractyses or in those at the corners of the 2nd-order tetractys. In both cases, they symbolize the Supernal Triad of Kether, Chokmah & Binah. The former number measures the 48 blue hexagonal yods in the seven 1st-order tetractyses that represent the seven Sephiroth of Construction and the six red hexagonal yods at the centres of the six inverted 1st-order tetractyses. These six yods do not belong to the 2nd-order tetractys. They correspond to the number 6 at the centre of the Lambda Tetractys. The 48 blue yods correspond to the sum of its six integers at the corners of a hexagon. The 36 green yods correspond to the sum of the integers at the corners of the Lambda Tetractys. This correspondence preserves the basic correspondence set out here between the 10 yods of the tetractys and the 10 Sephiroth. Notice that there are 36 yods on the boundary of the 2nd-order tetractys. However, they consist of 12 corners of 1st-order tetractyses and 24 hexagonal yods, i.e., yods symbolizing both the Sephiroth of the Supernal Triad and the Sephiroth of Construction. They cannot correspond to the sum (36) of the integers at the corners of the Lambda Tetractys because this would not preserve the basic correspondence between the type of Sephiroth and the type of yod. There is only one correct way in which the 6:48:36 pattern of the Lambda Tetractys appears in the triangular array of yods that underlie the 2nd-order tetractys.

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