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#23 How five sacred geometries embody the (72+168) roots of E8
There are: 1. 240 yods other than Sephiroth in the 1-tree constructed from Type A triangles
(see a). They comprise the 72 yods in its trunk & root (see here for their definition) and
168 yods in its branches; These analogies between the properties of five sacred geometries exist because they are all equivalent representations of the cosmic blueprint that embodies the divine archetypes. This blueprint manifests in the subatomic world as the UPA, the subquark state of the E8×E8 heterotic superstring. Article 53 discusses the correspondences in more detail.
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When regarded as separate from each other, the outer and inner forms of the Tree of Life are composed of 426 triangles with 248 corners (74 in its outer form and 174 in its inner form). Eight corners (denoted by white yods) are either shared between the outer and inner forms or have — as their projections onto the plane of the enfolded polygons — the two endpoints of the root edge of the latter. This leaves 240 corners which are unshared. There are (74−2=72) unshared corners in the outer Tree of Life and (174−6=168) unshared corners in the inner Tree of Life. The 240 unshared corners in the separate outer and inner forms of the Tree of Life denote the 240 roots of E8 and the 72 corners in the outer Tree unshared with those in the inner Tree denote the 72 roots of E6. In all these sacred geometries, the number 72 plays the more fundamental role in marking out in each case the skeletal foundation, whilst the number 168 "fleshes out", so to speak, the complete form of the geometrical object. |
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