¶ Octahedron Model of Doubleness of Unity (1)
← Octahedron: Half-octahedron (2) | Octahedron Model of Doubleness of Unity (2) →
Index Entry
Octahedron Model of Doubleness of Unity:
"The prime number twoness of the octahedron always occurs in structuring doubled together as four-- i.e., 2²-- a fourness which is also doubleness of unity. Unity is plural and, at minimum, is two. The unity volume 1 of the tetrahedron is, in structural verity, two, being both the outwardly displayed convex tetrahedron and the inwardly contained concave tetrahedron.
"The three-great-circle model of the spherical octahedron only ‘seems’ to be three; it is in fact ‘double’; it is only foldably produceable in unbroken (whole) great-circle sheets by edge-combining six hemicircularly folded whole great circles. Thus it is seen that the octahedron-- as in Iceland spar crystals-- occurs only doubly, i.e., omnicongruent with itself, which is ‘quadrivalent.’
“Among the three possible omnisymmetrical prime structural systems-- the tetrahedron, octahedron, and icosahedron-- obly the tetrahedron has each of its vertexes diametrically opposite a triangular opening. In the octahedron and icosahedron, each vertex is opposite another vertex; and each of their vertexes is diametrically blocked against articulating a self-inside-”
