972.00 Universal Integrity Model 
972.02 The rhombic dodecahedron is the integrated sphere (syntropic) OR the disintegrated sphere (entropic). 
973.00 Basic Tetrahedra as Volumetric Modules 
973.01
Basic Tetrahedron: Each Basic Tetrahedron (Syte)^{6} is
semisymmetric, four
of its six edges consisting always of two pairs of equallength
edges and only two being of
odd lengths. The Syte itself consists of six entirely
asymmetric Modules, four of which are
dissimilar to the other two:
2 A ( + ) positive Modules 2 A (  ) negative Modules 1 B ( + ) positive Module 1 B (  ) negative Module (Footnote 6: See Sec. 953.40.) 
973.11 The "regular" Platonic tetrahedron may be combined with the octahedron to fill allspace. 
973.22 The variety of their mixability produces what need be only momentary bewilderment and only an illusion of "disorder" occasioned initially by the subtlety and muchness of the unfamiliar. 
973.23 This brings us to consider the only superficially irregular, only semiasymmetric Syte as possibly being the most separately universal structuralsystem entity. 
973.30
Particle and Wave Involvement: Particle Quanta Equation:
(Prime numbers 2 and 5)
10F^{2} + 2

973.31
Wave Quanta Equation: (Prime numbers 2, 5, and 3)

973.32 One is particle involvement; the other is total involvement. Inadvertently, they correlate the sphere and all the other polyhedra rationally. 
973.33 The difference is the difference between using the tetrahedron as volumetric unity, while the physicist has always been using the cubic centimeter of water^{__}and then only lifting it in one direction, against gravity, against the imagined plane of the world. But, synergetics moves omnidirectionally, inwardly, outwardly, and aroundly. (See Secs. 505.40, 1009.36 and 1012.37.) 
974.00 Initial Frequency 
980.00 Pi and Synergetics Constant
980.01 Relative Superficial and Volumetric Magnitudes 
980.05 For instance, it is discoverable that with linear size increase of the tetrahedral structural systems (see Sec. 623.10), the tetrahedral surface enclosure increases as the second power of the linear growth rate, while the volumetric content coincreases at a thirdpower rate of the linear rate of size increase. Ergo, with a given tensile strength of cross section of material (itself consisting of nebular aggregates of critically proximate, massinterattracted, behavioralevent integrities), which material is completely invested in the tetrahedral envelope stretched around four events, with one of the events not being in the plane of the other three. The envelope of a given amount of material must be stretched thinner and thinner as the tetrahedron's four vertexes recede from one another linearly, the rate of the skin material thinning being a second power of the rate of linear retreat from one another of the four vertexial events. All the while the interior volume of the tetrahedron is increasing at a thirdpower rate and is being fed through one of its vertexes with an aggregate of fluid matter whose atomic population is also increasing at a third power volumetric rate in respect to the rate of linear gain by symmetrical recession from one another of the four vertexial points. 
981.00 Self and Otherness Sequence 
981.01 Coincidentally synchronized with the discovery of self through the discovery of otherness and otherness's and self's mutual interrollingaround (see Sec. 411), we have selfdiscovery of the outside me and the inside me, and the selfdiscovery of the insideness and outsideness of the otherness. The inside me in my tummy is directionally approachable when I stick my finger in my mouth. 
981.03 Going beyond the original formulation of the fourspherevertexed minimum structural system (Sec. 411), we observe that the addition of a fifth spherical otherness to the fourball structural system's symmetry brings about a polarizedsystem condition. The fifth ball cannot repeat the total mutually intertouching experienced by each of the first four as they joined successively together. The fifth sphere is an oddball, triangularly nested diametrically opposite one of the other four and forming the apex of a second structural system tetrahedron commonly based by the same three equatorially triangulated spheres. This brings about a condition of two polarapex spheres and an equatorial set of three. Each of the three at the middle touches not only each other but each of the two poles. While each of the equatorial three touches four others of the fivefold system, each of the two polar spheres touches only three others. Due to this inherent individual differentiability, the fivefoldedness constitutes a selfexciting, pulsationpropagating system. (Compare the atomic time clock, which is just such a fivefolded, atomic structured, mutually based tetrahedral configuration.) 
981.11 With all the 12 spherical othernesses around the initial selfoneness sphericity apparently uniformly diametered with self, the positivenegative vectorial relativity of nuclear equilibrium is operationally established. The pattern of this nuclear equilibrium discloses four hexagonal planes symmetrically interacting and symmetrically arrayed (see Sec. 415) around the nuclear center. 
981.14 This is the selfdefining evolution of the sphere and spherical domain as omnisymmetrically surrounded by identical othernesses, with the selfregenerative surroundment radially continuous. 
981.18 Because man is so tiny, he has for all of history deceived himself into popular thinking that all square corners of any size are exactly 90 degrees. 
981.19 Instead of initiating universal mensuration with assumedly straightlined, squarebased cubes firmly packed together on a world plane, we should initiate with operationally verified reality; for instance, the first geometrical forms known to humans, the hemispherical breasts of mother against which the small human spheroidal observatory is nestled. The synergetic initiation of mensuration must start with a sphere directly representing the inherent omnidirectionality of observed experiences. Thus we also start synergetically with wholes instead of parts. Remembering that we have verified the Greek definition of a sphere as experimentally invalidated, we start with a spheric array of events. And the "sphere" has definable insideness and seemingly undefinable outsideness volume. But going on operationally, we find that the sphere becomes operationally omni intercontiguously embraced by other spheres of the same diameter, and that ever more sphere layers may symmetrically surround each layer by everywhere closest packings of spheres, which altogether always and only produces the isotropic vector matrix. This demonstrates not only the uniformly diametered domains of closestpacked spheres, but also that the domains' vertexially identified points of the system are the centers of closest packed spheres, and that the universal symmetric domain of each of the points and spheres of all uniformly frequencied systems is always and only the rhombic dodecahedron. (See Sec. 1022.11.) 
981.22 Sphere is prime awareness. 
981.23 Spheric domain is prime volume. 
981.24 Only selfdiscoverable sphericsystem awareness generates all inwardness, outwardness, and aroundness dimensionality. 
982.00 Cubes, Tetrahedra, and Sphere Centers 
982.01 Spheric Domain: As the domain hierarchy chart shows (see "Concentric Domain Growth Rates," Sec. 955.40), the inherent volume of one prime spheric domain, in relation to the other rational low order number geometric volumes, is exactly sixfold the smallest omnisymmetrical structural system polyhedron: the tetrahedron. 
982.02 The spheric domain consists of 144 modules, while the tetrahedron consists of 24 modules. 24/l44 = 1/6. 
982.03 The vector equilibrium consists of 480 modules. 24/480 = 1/20. 
982.06 We thus discover that the tetrahedron's six edges are congruent with the six lines connecting the four fractional spheres occurring at four of the eight alternate corners of the cube. 
982.11 The vector equilibrium represents self's initial realization of self both outwardly and inwardly from the beginning of being betweenness. 
Next Section: 982.20 