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#45 The tetrahedron with Type B faces and internal triangles embodies the holistic parameter 350

A Type B triangle (see here) has 46 yods, of which nine yods lie on its three sides. Its 37 internal yods consist of four white corners of nine tetractyses and 33 hexagonal yods, where 33 = 1! + 2! + 3! + 4!. They comprise nine red hexagonal yods at centres of tetractyses and 24 black hexagonal yods on their sides. Joining the white vertices of the tetrahedron to its white central yod generates six internal triangles. When both these and the four triangular faces are Type B triangles, there are (33×10=330) hexagonal yods inside their sides. (6×2=12) black hexagonal yods line the six edges of the tetrahedron and (4×2=8) black hexagonal yods line the internal sides of the triangles in its interior. The number of hexagonal yods in the faces and interior of the tetrahedron = 330 + 12 + 8 = 350. They comprise (4×9=36) red hexagonal yods at centres of tetractyses in the faces, (6×9=54) blue hexagonal yods at centres of tetractyses in the interior of the tetrahedron, (10×24=240) black hexagonal yods inside triangles and (12+8=20) black hexagonal yods lining edges & internal sides of Type B triangles. In other words, the 350 yods divide up into (36+54=90) hexagonal yods at centres of tetractyses and (240+20=260) hexagonal yods lining their sides. This corresponds to the 90:260 division of the Tetrahedral Lambda and to the 36:54 division of the Lambda Tetractys (see here & here). The tetrahedron displays the holistic parameter 350 and its 90:260 division because, being the simplest Platonic solid, it is the seed that grows into the dodecahedron and then flowers into the disdyakis triacontahedron that contains this Platonic solid.

The 350 hexagonal yods in the tetrahedron with Type B faces and internal triangles also correspond to the 350 hexagonal yods on the sides of the 94 tetractyses making up the (7+7) enfolded polygons of the inner Tree of Life (see here) and to the 350 corners that are intrinsic to the 70 polygons enfolded in 10 overlapping Trees of Life (see here). In the former case, the 90:260 division of yods appears as the 90 hexagonal yods on sides of tetractyses in the square & octagon and as the 260 hexagonal yods lining tetractyses in the five other polygons. In the latter case, it manifests as the 90 corners intrinsic to the triangles, pentagons & hexagons enfolded in 10 Trees and as the 260 corners of the squares, octagons, decagons & dodecagons.

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