971.00 Table of Basic Vector Equilibrium Shell Volumes

971.01 Relationships Between First and Third Powers of N Correlated to Closest-Packed Triangular Number Progression and Closest-Packed Tetrahedral Number Progression, Modified Both Additively and Multiplicatively in Whole Rhythmically Occurring Increments of Zero, One, Two, Three, Four, Five, Six, Ten, and Twelve, All as Related to the Arithmetical and Geometrical Progressions, Respectively, of Triangularly and Tetrahedrally Closest-Packed Sphere Numbers and Their Successive Respective Volumetric Domains, All Correlated with the Respective Sphere Numbers and Overall Volumetric Domains of Progressively Embracing Concentric Shells of Vector Equilibria: Short Title: Concentric Sphere Shell Growth Rates (see drawings section).

971.02 The red zigzag between Columns 3 and 4 shows the progressive, additive, triangular-sphere layers accumulating progressively to produce the regular tetrahedra.

971.03 Column 5 demonstrates the waves of SIX integer additions to the closest-packed tetrahedral progression. The first SIX zeros accumulate until we get a new nucleus. The first two of the zero series are in fact one invisible zero: the positive zero plus its negative phase. Every six layers we gain one new, additional nucleus.

971.04 Column 6 is the tetrahedral number with the new nucleus.

971.05 In Column 7, the integer SIX functions as zero in the same manner in which NINE functions innocuously as zero in all arithmetical operations.

971.06 In Column 7, we multiply Column 6 by a constant SIX, to the product of which we add the six-stage 0, 1, 2, 3, 4, 5 wave-factor growth crest and break of Column 8.

971.07 Column 8’s SIXness wave synchronizes elegantly the third-power arithmetical progression of N, i.e., with the integer-metered volumetric growth of N. Column 8’s SIXness identifies uniquely with the rhombic dodecahedron’s volume-quantum number. Column 8 tells us that the third powers are most fundamentally identified with the one central, holistic, nuclear-sphere-containing, or six-tangented-together, one-sixth sphere of the six vertexes of the 144 A and B Moduled rhombic dodecahedra.

971.08 Columns 7 and 8 show the five-sixths cosmic geometry’s sphere/space relationship, which is also relevant to:

icosa’s basic sphere surface triangles as the outer faces of the icosahedron’s 120 centrally convergent similar tetrahedra, which 120 modules of icosahedral unity correspond in respect to the radially centralized, or circumferentially embracing 144 modules uniquely constituting and exclusively defining the rhombic dodecahedron sphere;

as 120 is to 144;

the icosahedron is to spherical unity as 5 is to 6;

as is also any one shell of the vector equilibrium’s concentric closest-packed sphere count to its corresponding concentric omnispace volume count, i.e., as 10 is to 12.

971.09 Column 10 lists the cumulative, planar-bound, tetrahedral volumes of the arithmetical progression of third powers of the successive frequencies of whole vector equilibria. The vector equilibrium’s initial non-frequencied tetra-volume, i.e., its quantum value, is 20. The formula for obtaining the frequency-progressed volumes of vector equilibrium is:

Volume of EE = 20F³.

971.10 In Column 11, we subtract the previous frequency-vector equilibrium’s cumulative volume from the new one-frequency-greater vector equilibrium’s cumulative volume, which yields the tetrahedral volume of the outermost shell. The outer vector equilibrium’s volume is found always to be:

10(2 + 12\frac{F^{2}- F}{2})

971.11 Incidentally, the \frac{F^{2}- F}{2} part of the formula is inherent in the \frac{N^{2}- N}{2} formula-, which determines the exact number of unique relationships always existing between any number of items.

971.20 Pulsation Between Icosahedron and Vector Equilibrium: There is manifest in the icosahedral fiveness, in contradistinction to the vector equilibrium’s sixness, the seemingly ever annihilatable and ever-re-creatable integer, eternally propagating the complex of unique frequencies of the 92 inherently regenerative chemical elements as well as all the other unique resonances and frequencies of the electromagnetic, protoplasmic, pneumatic-hydraulic, and crystallographic spectrums, whose omnidirectional yes-no pulsativeness occasions the omniexperienceable, exclusively wavilinear, optically or instrumentally tunable, allness of time-accommodated human experience.