419.00 Superatomics 
Fig. 419.03 
419.03 The discovery of the first 92 selfregenerative chemical elements was not by the numbers starting with one, but in a completely random sequence. In the superatomics, beyond Uranium, number 92, the splitsecondlived chemical elements have been discovered in a succession that corresponds to their atomic number^{__}for example, the 94th discovery had the atomic weight of 94; the 100th discovery was atomic weight 100, etc. 
419.05 Every layer of a finite system has both an interior, concave, associability potential and an exterior, convex, associability potential. Hence the outer layer of a vectorequilibriumpatterned atom system always has an additional full number "unemployed associability" count. In the example cited above (Sec. 418.03), an additional 92 was added to the 146 as the sum of the number of spheres in the first three shells. The total is 238, the number of nucleons in uranium, whose atomic weight is 238. Four of the nucleons on the surface of one of the square faces of the vector equilibrium's closestpacked aggregation of nucleons may be separated out without impairing the structuralstability integrity of the balance of the aggregate. This leaves a residue of 236 nucleons, which is the fissionable state of uranium^{__}which must go on chainreacting due to its asymmetry. 
419.10 Nuclear Domain and Elementality 
419.11 Where the primitive polyhedron considered is the vector equilibrium, the closestpackedsphereshell growth rate is governed by the formula 10F^{2} + 2 (Sec.222). Where the most primitive polyhedron is the tetrahedron, the growth rate is governed by the formula 2F^{2} + 2; in the cases of the octahedron and the cube see Sec. 223.21. The formula is reliably predictable in the identification of the chemical elements and their respective neutron inventories for each shell. The identifications are related exclusively to the unique nuclear domain pattern involvements. 
419.14 As we see in Sec. 624, the insideouting of Universe occurs only at the tetrahedral level. In the nucleated, tetrahedral, closestpackedsphereshell growth rates the outward layer sphere count increases as frequency to the second power times two plus two^{__}with the outer layer also always doubled in value. 
419.20 Elemental Identification of First and Second Shell Layers 
419.22 The omnidirectional closest packing of spheres in all six symmetrical conformations of the primitive hierarchy of polyhedra probably provides models for all the chemical elements in a hierarchy independent of size in which the sum of the spheres in all the layers and the nuclear sphere equals the most prominent number of neutrons, and the number in the outer layer alone equals the number of protons of each atom. In the VE symmetry of layer growth the sum of the spheres is one and the outer layer is one: the initial sphere represents the element hydrogen, with the atomic number 1, having one neutron and one proton. The second VE assembly layer, magnesium, with the atomic number 12, has 12 protons and 24 neutrons. The third layer, molybdenum, with the atomic number 42, has 42 protons and a majority of 54 neutrons. The fourth layer, uranium, with the atomic number 92, has 92 protons and an isotopal majority of 146 neutrons. (Compare Secs. 986.770 and 1052.32.) 
Vector Equilibrium Shell Growth Rate: 10F^{2} + 2

Fig. 419.30 
419.30
Closestspherepacking Analogy to Atomic Structure:
In 1978 Philip
Blackmarr, a student of synergetics from Pasadena, proposed
a novel analogy of closest
spherepacking geometry to electronprotonneutron interrelationships
and atomic
structure. He took note of the following four facts;

419.31 Blackmarr then hypothetically identified the electron as the volume of the unitvectoredge tetrahedron as ratioed to the volume of the fourfrequency vector equilibrium, representing a symmetrical and "solid" agglomeration of 308 rhombic dodecahedra (with two of the outerlayer rhombic dodecahedra assigned to serve as the symmetrically opposite poles of the system's axis of spin), or of 308 unitradius spheres and their interspaces. This evidences that the space filled by the 308 rhombic dodecahedra is the maximum, cosmiclimit, unitvector, symmetrical polyhedral space occupiable by a single nucleus. 
419.32


419.33 Here is an elegant realization that two spheres of the outerlayer spheres (or rhombic dodecahedra) of the symmetrical system have to serve as the polar axis of the system spin. (See Secs.223 and 1044.) 
419.34 Thus by experimental evidence we may identify the electron with the volume of the regular, unitvectorradiusedge tetrahedron, the simplest symmetrical structural system in Universe. We may further identify the electron tetrahedra with the maximum possible symmetrical aggregate of concentricallypacked, unitradius spheres symmetrically surrounding a single nucleus^{__} there being 12 new potential nuclei appearing in the threefrequency shell of 92 spheres, which threefrequency shell, when surroundingly embraced by the fourfrequency shell of 162 spheres, buries the 12 candidate new nuclei only one shell deep, whereas qualifying as fullfledged nuclei in their own right requires two shells all around each, which 12, newborn nuclei event calls for the fifthfrequency shell of 252 spheres. 
419.35 Together with the closestpacked spheres of the outer layer of the icosahedron of frequencies 1 and 4 (and of the outer layers of the closestpacked spheres of the one^{__} and only one^{__} nucleusembracing, symmetrically and closestpacked, unitradius sphere aggregates in the form of the octahedron, rhombic dodecahedron, rhombic triacontahedron, and enenicontahedron) as well as the already identified fourfrequency vector equilibrium, the rhombic dodecahedron is the maximum nuclear domain within which the pretimesize set of chemicalelementforming atoms' protonneutronand electron interrelationship events can and may occur. 
419.36 All of the foregoing is to say that the size of one spinnable proton consisting of 308 rhombic dodeca closest packed in the symmetrical form of the fourfrequency vector equilibrium is 1836 times the size of one prime, pretimesize, prefrequency, unit vectoredge tetrahedron or of one electron. Multiplication only by division means that the timesize frequencies of the elements (other than hydrogen) occur as various concentric shell symmetry phases of the singlenucleusembracing, symmetrically closestpacked, singlenucleus aggregates in the multiconcentriclayered forms of the vector equilibrium, tetrahedron, octahedron, rhombic dodecahedron, rhombic triacontahedron, and cube. 
419.37
Synergetics has long associated the electron with
the icosahedron.
Icosahedra cannot accommodate concentric shells; they
occur as singlelayer shells of
closestpacked, unitradius spheres. Since the proton
has only the outer shell count, it may
be identified with the icosa phase by having the total
volume of the rhombic
dodecahedroncomposed fourfrequency vector equilibrium
transformed from the 306
(nonaxial) nucleon rhombic dodecahedron into each of
the closestpacked, singlelayer
icosahedra shells as an emitted wave entity. The rhombic
dodecahedron neutrons are
packed into concentric layers of the vector equilibria
to produce the various isotopes. For
example:

Next Section: 420.00 