950.70 Summary: Wave Propagation Model

905.71 Both in the spherical vector equilibrium and in the disequilibrious icosahedral spherical system, the prime number five is produced by the fundamental allspace-filling complementarity of the 1-volume tetrahedron and the 4-volume octahedron.

Symmetrical: 1+4 = 5

Asymmetrical: 4+1=5

The effect is symmetrical when the tetrahedron’s four vertexes simultaneously pulse outwardly through their opposite void triangles to produce the “star tetrahedron,” one outwardly-pointing tetrahedron superimposed on each of the four faces of a nuclear tetrahedron: i.e., 1+4 = 5. The effect is asymmetrical when one outwardly-pointing tetrahedron is superimposed on one face of one octahedron: i.e., 4 + 1 = 5.

905.72 We now understand how the equilibrious 48 basic triangles transform into the 120 disequilibrious basic triangles. The 120 (60 positive and 60 negative) LCD spherical triangles’ central (or nuclear) angles are unaltered as we transform their eternal systemic patterning symmetry from (a) the octahedral form of ¹²⁰/8= 15 A Quanta Modules per each octa triangle; to (b) the icosahedron’s ^12o/2o = 6 A Quanta Modules per each icosa triangle; to © the dodecahedron’s ¹²⁰/i2= 10/1 Quanta Modules per each pentagon. This transformational progression demonstrates the experientially witnessable, waveproducing surface-askewing caused by the 120-degree, alternating rotation of the icosahedron’s triangles inside of the octahedron’s triangles. Concomitant with this alternating rotation we witness the shuttling of the spherical vector equilibrium’s 12 vertexial positions in a successive shifting-back-and-forth between the spherical icosahedron’s 12 vertexial positions; as well as the wave-propagating symmetrical, polyhedral alterations of the inward-outward pulsations which generate surface undulations consequent to the radial contractions, at any one time, of only a fractional number of all the exterior vertexes, while a symmetrical set of vertexes remains unaltered.

905.73 This elucidates the fundamental, electromagnetic, inward-outward, and complex great-circling-around type of wave propagation, as does also the model of spheres becoming voids and all the voids becoming spheres, and their omniradiant wave propagation (see Sec. 1032).

905.74 There are also the approximately unlimited ranges of frequency modulatabilities occasioned by the symmetrical subdivisioning of all the prime, equiangled, surface triangles of the tetrahedron, octahedron, and icosahedron. This additionally permitted wave undulation of surface pattern shifting is directly identified with the appearance of photons as spherically clustered and radiantly emittable tetrahedra (see Sec. 541.30).