240 hexagonal yods in the 60 faces in each half of the disdyakis triacontahedron when each face is a tetractys (see (e)). They comprise 72 black hexagonal yods, which are either at centres of tetractyses or on the equator when its plane is perpendicular to an axis passing through two diametrically opposite A vertices, and 168 red hexagonal yods on the 84 edges either above or below the equator (see here for further discussion).
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 detai
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.