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Index Entry
Prime Vector:
“All structural accounting of nature is accomplished with rational quantities of tetrahedra. The XYZ coordinates may be employed to describe the arrangements, but only in awkward irrationality because the edge of the cube is inherently irrational in respect to the cube’s facial diagonal. The hypotenuses actually function only as the edges of the positive and negative tetrahedra which alone permit the cube to exist as a structure. The hypotenuses connect the sphere centers at the cube corners; they function concurrently and simultaneously as the natural structuring of the tetrahedra edges in the omnidirectional isotropic vector matrix; as either hypotenuse or tetra edge they are prime vectors.”
“Of the eight corners of the cube only four coincide with the sphere centers of closest-packed, unit-radius spheres; therefore only the cube’s facial diagonals can interconnect closest packed spheres. One closed set of six cube face diagonals can only interconnect four sphere centers corners of the prime tetrahedron which alone provides the structural stability of the cube, whose eight-cornered, structural stability completeness requires the saturation of the alternate set of six diagonals”
