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#62 Correspondence between the Tetrahedral Lambda, the inner Tree of Life, the inner form of 10 overlapping Trees, the five Platonic solids & the 3-d Sri Yantra

  90:260 division in 5 sacred geometries 

a) The first face of the Tetrahedral Lambda is a tetractys array of 10 blue integers that sum to 90. The remaining 10 red integers add up to 260. The sum of the 20 integers is 350;

b) The (7+7) enfolded polygons have (47+47) sectors. When they are tetractyses, 350 hexagonal yods line their 175 sides. 90 blue hexagonal yods line the sides of the 24 tetractyses making up the two squares and the two octagons. 260 red hexagonal yods line the sides of the two triangles, the two pentagons, the two hexagons, the two decagons & the two dodecagons;

c) The seven enfolded polygons making up half of the inner form of the Tree have 36 corners. The topmost corner of the hexagon coincides with the lowest corner of the hexagon enfolded in the next higher Tree of Life. 35 corners are intrinsic to each successive overlapping Tree of Life. Ten overlapping Trees of Life have 70 polygons with (10×35=350) intrinsic corners. The triangles, squares, pentagons & hexagons have 90 blue corners outside the root edge. The octagons, decagons & dodecagons have 260 red corners;

d) When their faces are Type B polygons and their internal triangles are divided into three tetractyses, the five Platonic solid contain 1820 yods that surround their centres (see table here). Of these, 50 yods are vertices, leaving 1770 yods. Four hexagonal yods lie on the axis of each Platonic solid. Therefore, (1770 − 5×4 = 1750) yods other than vertices surround their axes. On average, (1750/5 = 350) yods surround an axis. Diagram d indicates that an internal triangle with an edge as one side has three blue hexagonal yods at the centres of its tetractys sectors. As the five Platonic solids have 90 edges, they have (90×3=270) such yods. Their faces have 180 tetractys sectors with blue hexagonal yods at their centres. Hence, (270+180=450) blue hexagonal yods are at centres of tetractyses, i.e., (450/5=90) blue hexagonal yods on average. (180/5=36) of these lie in the faces and (270/5=54) are in the interior. This pattern is the 36:54 division of the Lambda Tetractys, for the sum of the integers at its corners is 36 and the sum of the remaining seven integers is 54. This leaves (350−90=260) red yods;

e) When the 42 triangles surrounding the centre of the 3-dimensional Sri Yantra are turned into tetractyses, 336 yods line their 126 sides. Of these, 84 blue yods are corners and 252 red yods are hexagonal yods. If the central triangle is regarded as a Type A triangle, six blue hexagonal yods line its three sides and six red hexagonal yods line internal sides. Including the central red yod and the separate bindu that lies above it, there are 14 yods lining sides of tetractyses in the central triangle other than its three corners. (13+336=349) yods other than these line sides of tetractyses/triangles in the 3-dimensional Sri Yantra. Including the bindu, there are 350 yods other than the corners of the central triangle that give the 3-dimensional Sri Yantra its shape. (84+6=90) blue yods line the sides of the 43 triangles as either corners or hexagonal yods of the central triangle, leaving 260 red yods.

It was shown in #45 that the tetrahedron with Type B faces and internal triangles contains 350 hexagonal yods, 90 of them being at the centres of tetractyses and 260 lining their sides (see here).

Demonstrated here is the fact that these five sacred geometries are analogous to one another in that they not only embody the holistic parameter 350 but also display its division into the numbers 90 and 260. Amazingly, the 3-dimensional Sri Yantra is also composed of 260 (=26×10) points, lines & triangles (see here). It demonstrates the creative power of the Godname YAHWEH with number value 26.

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