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#22 The Tetrahedral Lambda as the arithmetic counterpart of the inner form of 10 Trees of Life

The sum of the 20 integers making up the tetrahedral generalisation of Plato's Lambda is 350 (see here). This is the sum (100) of the cubes of 1, 2, 3 & 4 at its apices and the sum (250) of the 16 other integers. The four red integers at the centre of the faces of the tetrahedron add up to 50, so that the sum of the 12 blue numbers on edges between the vertices is 200.

Compare this with the fact that the 70 polygons enfolded in 10 overlapping Trees of Life have 350 corners that are intrinsic to them, none being located at a point that is a corner of a polygon enfolded in the next higher Tree. Moreover, the squares, pentagons, octagons & decagons have 200 blue corners outside their root edges, the hexagons have 50 red corners and the dodecagons have 100 black corners outside root edges. We see that the Tetrahedral Lambda is an arithmetic version of the inner form of ten overlapping Trees of Life. As the latter are a representation of a Tree of Life in which each Sephirah is replaced by a complete Tree, the holistic character of the Tetrahedral Lambda is revealed.

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