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#48 How YAHWEH, ELOHIM & ADONAI prescribe the inner form of 10 Trees of Life representing the 421 polytope

The geometrical composition of the seven enfolded Type A polygons is tabulated below:

 Corners Sides Triangles Total 41 88 47 176

The interior of a Type B triangle has four corners and 12 sides of nine triangles (see the first diagram on the previous page). The geometrical composition of the seven enfolded Type C polygons whose 47 sectors are Type B triangles is calculated below:

 Corners Sides Triangles Total 41 + 4×47 = 229 88 + 12×47 = 652 9×47 = 423 1304

The 70 enfolded Type C polygons representing the inner form of 10 overlapping Trees of Life are displayed below:

 Comments The 423 triangles in the seven Type C polygons enfolded in a single Tree of Life have 229 corners, where 229 is the 50th prime number. This is how ELOHIM, the Godname of Binah with number value 50, prescribes the inner Tree of Life with Type C polygons. The 423 triangles have 227 corners outside the root edge of the seven enfolded polygons. Alternatively, as the topmost corner of the hexagon coincides with the lowest corner of the hexagon enfolded in the next higher Tree, 228 corners are intrinsic to the inner form of each Tree, so that 227 such corners are associated with each set of seven enfolded polygons. 227 is the 49th prime number, showing how EL CHAI, the Godname of Yesod with number value 49, prescribes the inner Tree of Life. There are (229+652=881) corners & sides. They include seven centres of polygons, the top and bottom corners of the hexagon, which are shared with the outer Tree of Life, and the two vertical sides inside it that coincide with sides of triangles belonging to the outer Tree, i.e., 11 centres & shared geometrical elements. The number of corners & sides intrinsic to each set of seven enfolded polygons that surround their centres = 881 − 11 = 870 = 87×10, where 87 is the number value of Levanah, the Mundane Chakra of Yesod. There are 652 corners & triangles and 652 sides. 650 (=65×10) corners & triangles are outside the root edge. This is how ADONAI, the Godname of Malkuth with number value 65, prescribes the seven enfolded Type C polygons. Alternatively, 650 intrinsic corners & triangles are associated with each set of seven enfolded polygons. The number of intrinsic corners & triangles in the (7+7) enfolded polygons = 650 + 650 = 1300 = 15 + 25 + 35 + 45. This property reveals the beautiful, mathematical design of the inner Tree of Life. The number of corners, sides & triangles in the seven enfolded polygons = 1304. The number of their intrinsic geometrical elements outside the root edge = 1304 − 3 − 1 = 1300. The number of intrinsic geometrical elements outside the root edge of the (7+7) enfolded polygons = 1300 + 1300 = 2600 = 26×100. The number outside the root edges of the (70+70) polygons enfolded in 10 Trees = 26×1000. This shows how YAHWEH, the Godname of Chokmah with number value 26, prescribes the number of geometrical elements outside the root edge that are intrinsic to the inner form of each overlapping Tree of Life. As 512 − 1 = 2600 = 3 + 5 + 7 +...+ 101, 2600 is the sum of the first 50 odd integers after 1, showing how ELOHIM with number value 50 prescribes how many intrinsic geometrical elements are outside the root edge of the inner Tree of Life with Type C polygons. This demonstrates the amazing power of the Godnames to determine arithmetically the global properties of sacred geometries. 101, the largest of these odd integers, is the number value of Michael, the Archangel of Tiphareth; it is the 26th prime number, showing again how YAHWEH prescribes the geometrical composition of the seven enfolded Type C polygons. Of the 1300 geometrical elements outside the root edge that are intrinsic to the seven Type C polygons enfolded in each Tree, seven elements are centres of polygons, one is the lowest corner of the hexagon (a corner of triangles in the outer Tree of Life) and two are sides shared with the latter. The number of intrinsic elements surrounding the centres of polygons that are unshared with the outer Tree of Life = 1300 − 7 − 1 − 2 = 1290 = 129×10. This is how YAHWEH SABAOTH, the Godname of Netzach with number value 129, prescribes the geometrical elements that belong solely to the inner form of the Tree of Life. The 70 polygons enfolded in 10 Trees of Life have 351 corners, where 351 = 1 + 2 + 3 +...+ 26. This shows how YAHWEH prescribes the inner form of 10 Trees of Life. Each set of seven polygons have 36 corners, showing how ELOHA, the Godname of Geburah with number value 36, prescribes the seven enfolded polygons. The (7+7) enfolded polygons have 70 corners and 83 sides, i.e., 153 corners & sides, where 153 is the number value of ELOHIM SABAOTH, the Godname of Hod. Of the 153 corners & sides, two corners (the topmost corners of the two hexagons) coincide with the lowest corners of the two hexagons enfolded in the next higher Tree. The (7+7) enfolded polygons have 151 intrinsic corners & sides, where 151 is both the 76th odd integer and the 36th prime number. This shows how YAHWEH ELOHIM, the Godname of Tiphareth with number value 76, and ELOHA, the Godname of the Sephirah preceding Tiphareth in the Tree of Life, prescribe the corners & sides intrinsic to each set of (7+7) enfolded polygons. The outer and inner forms of 10 overlapping Trees of Life.

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