BUCKYVERSE

986.860 Rhombic Dodecahedron 6 Minus Polyhedron 5 Equals Unity

986.861 High-frequency, triangulated unit-radius-vertexed, geodesically interchorded, spherical polyhedral apparencies are also structural developments in time-size. There are therefore two kinds of spherics: the high-frequency-event-stabilized, geodesic, structural polyhedron and the dynamically spun, only superficially “apparent” spheres. The static, structural, multifaceted, polyhedral, geodesic sphere’s vertexes are uniformly radiused only by the generalized vector, whereas the only superficially spun and only apparently profiled spheres have a plurality of vertexial distances outward from their systemic center, some of which distances are greater than unit vector radius while some of the vertexes are at less than unit vector radius distance. (See Fig. 986.314.)

986.862 Among the symmetrical polyhedra having a tetravolume of 5 and also having radii a little more or a little less than that of unit vector radius, are the icosahedron and the enenicontahedron whose mean radii of spherical profiling are less than four percent vector-aberrant. There is, however, one symmetrical primitive polyhedron with two sets of its vertexes at greater than unit radius distance outwardly from their system’s nucleic center; that is the rhombic dodecahedron, having, however, a tetravolume of 6. The rhombic dodecahedron’s tetravolume of 6 may account for the minimum intersystemness in pure principle, being the space between omni-closest-packed unitradius spheres and the spheres themselves. And then there is one symmetric primitive polyhedron having a volume of exactly tetravolume 5 and an interpattern radius of .9995 of one unit vector; this is the T Quanta Module phase rhombic triacontahedron. There is also an additional rhombic triacontahedron of exact vector radius and a tetravolume of 5.007758031, which is just too much encroachment upon the rhombic dodecahedron 6 minus the triacontahedron 5->6 =1, or one volumetric unit of unassigned cosmic “fail-safe space”: BANGradiation-entropy and eventual turnaround precessional fall-in to syntropic photosynthetic transformation into one of matter’s four states: plasmic, gaseous, liquid, crystalline.

986.863 All the hierarchy of primitive polyhedra were developed by progressive great-circle-spun hemispherical halvings of halvings and trisectings of halvings and quintasectings (see Sec. 100.1041) of halvings of the initial primitive tetrahedron itself. That the rhombic triacontahedron of contact-facet radius of unit vector length had a trigonometrically calculated volume of 4.998 proved in due course not to be a residual error but the “critical difference” between matter and radiation. This gives us delight in the truth whatever it may be, recalling that all the discoveries of this chronicle chapter were consequent only to just such faith in the truth, no matter how initially disturbing to misinformed and misconditioned reflexes it may be.