938.00 Jitterbug Transformation and Annihilation 
938.10 Positive and Negative Tetrahedra 
938.11 The tetrahedron is the minimumlimitcase structural system of Universe (see Secs. 402 and 620). The tetrahedron consists of two congruent tetrahedra: one concave, one convex. The tetrahedron divides all of Universe into all the tetrahedral nothingness of all the cosmic outsideness and all the tetrahedral nothingness of all the cosmic insideness of any structurally conceived or sensorially experienced, special case, uniquely considered, fourstarryvertexconstellared, tetrahedral system somethingness of human experience, cognition, or thinkability. 
938.12 The tetrahedron always consists of four concaveinward hedra triangles and of four convexoutward hedra triangles: that is eight hedra triangles in all. (Compare Fig. 453.02.) These are the same eight^{__}maximally deployed from one another^{__}equiangular triangular hedra or facets of the vector equilibrium that converge to differential inscrutability or conceptual zero, while the eight original triangular planes coalesce as the four pairs of congruent planes of the zerovolume vector equilibrium, wherein the eight exterior planes of the original eight edgebonded tetrahedra reach zerovolume, eightfold congruence at the center point of the fourgreatcircle system. (Compare Fig. 453.02.) 
Fig. 938.13 
938.13 The original^{__}only vertexially singlebonded, vectorially structured^{__}triangles of the vectorequilibrium jitterbug transform by symmetrical contraction from its openmost vectorequilibrium state, through the (unstablewithoutsix additionalvector inserts; i.e., one vectorial quantum unit) icosahedral stage only as accommodated by the nuclear sphere's annihilation, which vanished central sphere reappears transformedly in the 30vectoredged icosahedron as the six additional external vectors added to the vector equilibrium to structurally stabilize its six "square" faces, which six vectors constitute one quantum package. (See Fig. 938.13.) 
938.14 Next the icosahedron contracts symmetrically to the congruently vectored octahedron stage, where symmetrical contraction ceases and precessional torque reduces the system to the quadrivalent tetrahedron's congruent four positive and four negative tetrahedra. These congruent eight tetrahedra further precess into eight congruent zero altitude tetrahedral triangles in planar congruence as one, having accomplished this contraction from volume 20 of the vector equilibrium to volume 0 while progressively reversing the vector edges by congruence, reducing the original 30 vector edges (five quanta) to zero quanta volume with only three vector edges, each consisting of eight congruent vectors in visible evidence in the zeroaltitude tetrahedron. And all this is accomplished without ever severing the exterior, gravitationalembracing bond integrity of the system. (See Figs. 461.08 and 1013.42.) 
Fig. 938.15 
938.15 The octahedron is produced by one positive and one negative tetrahedron. This is done by opening one vertex of each of the tetrahedra, as the petals of a flower are opened around its bud's vertex, and taking the two openflowered tetrahedra, each with three triangular petals surrounding a triangular base, precessing in a positivenegative way so that the open triangular petals of each tetrahedron approach the open spaces between the petals of the other tetrahedron, converging them to produce the eight edgebonded triangular faces of the octahedron. (See Fig. 938.15.) 
Fig. 938.16 
938.16 Because the octahedron can be produced by one positive and one negative tetrahedron, it can also be produced by one positive tetrahedron alone. It can be produced by the four edgebonded triangular faces of one positive tetrahedron, each being unbonded and precessed 60 degrees to become only vertexinterbonded, one with the other. This produces an octahedron of four positive triangular facets interspersed symmetrically with four empty triangular windows. (See Fig. 938.16.) 
940.00 Hierarchy of Quanta Module Orientations
940.10 Blue A Modules and Red B Modules 
940.11 A Modules: We color them blue because the As are energy conservers, being folded out of only one triangle. 
940.12 B Modules: We color them red because the Bs are energy distributors, not being foldable out of only one triangle. 
941.00 Relation of Quanta Modules to ClosestPacked Sphere Centers 
942.00 Progression of Geometries in Closest Packing 
942.01 Two balls of equal radius are closest packed when tangent to one another, forming a linear array with no ball at its center. Three balls are closest packed when a third ball is nested into the valley of tangency of the first two, whereby each becomes tangent to both of the other two, thus forming a triangle with no ball at its center. Four balls are closest packed when a fourth ball is nested in the triangular valley formed atop the closest packed first three; this fourthball addition occasions each of the four balls becoming tangent to all three of the other balls, as altogether they form a tetrahedron, which is an omnidirectional, symmetrical array with no ball at its center but with one ball at each of its four comers. (See Sec. 411.) 
942.10
Tetrahedron: The tetrahedron is composed exclusively
of A Modules
(blue), 24 in all, of which 12 are positive and 12 are
negative. All 24 are asymmetrical,
tetrahedral energy conservers.^{3} All the tetrahedron's
24 blue A Modules are situate in its
only onemoduledeep outer layer. The tetrahedron is
all blue: all energyconserving.
(Footnote 3: For Discussion of the selfcontaining energyreflecting patterns of single triangles that fold into the tetrahedron ^{__}symmetrical or asymmetrical^{__} see Sec. 914 and 921.) 
942.12 The tetrahedron is defined by the lines connecting the centers of the tetrahedron's four corner spheres. The leak in the tetrahedron's corners elucidates entropy as occasioned by the onlycriticalproximity but nontouching of the tetrahedron's corners defining lines. We always have the twisting^{__}the vectorial nearmiss^{__}at the corners of the tetrahedron because not more than one line can go through the same point at the same time. The construction lines with which geometrical entities are structured come into the critical structural proximity only, but do not yield to spontaneous mass attraction, having relative MoonEarthlike gaps between their energyeventdefining entities of realization. (See Sec. 921.15.) 
942.13 The tetrahedron has the minimum leak, but it does leak. That is one reason why Universe will never be confined within one tetrahedron, or one anything. 
942.17 The triangular conformation of the QuarterTetrahedron can be produced by nesting one uniradius ball in the center valley of a fiveballedged, closestpacked, uniradius ball triangle. (See Illus. 415.55C.) The four vertexes of the QuarterTetrahedron are congruent with the volumetric centers of four uniradius balls, three of which are at the comers and one of which is nested in the valley at the center of area of a fiveballedged, equiangle triangle. 
942.51 The most simply logical arrangement of the blue A and red B Modules is one wherein their 1/144thspherecontaining, most acute corners are all pointed inward and join to form one whole sphere completely contained within the rhombic dodecahedron, with the containedsphere's surface symmetrically tangent to the 12 middiamond facets of the rhombic dodecahedron, those 12 tangent points exactly coinciding with the points of tangency of the 12 spheres closestpacked around the one sphere. (For a discussion of the rhombic dodecahedron at the heart of the vector equilibrium, see Sec. 955.50.) 
942.63 In both of the innermost layers of the vector equilibrium, the energy conserving introvert A Modules outnumber the B Modules by a ratio of twotoone. In the third layer, the ratio is twotozero. In the fourth layer, the ratio of As to Bs is in exact balance. 
942.64 Atoms borrow electrons when they combine. The open and unstable square faces of the vector equilibrium provide a model for the lending and borrowing operations. When the frequency is three, we can lend four balls from each square. Four is the greatest number of electrons that can be lent: here is a limit condition with the threefrequency and the fourball edge. All the borrowing and lending operates in the squares. The triangles do not get jeopardized by virtue of lending. A lending and borrowing vector equilibrium is maintained without losing the structural integrity of Universe. 
942.70 Tetrakaidecahedron: The tetrakaidecahedron^{__}Lord Kelvin's "Solid"^{__}is the most nearly spherical of the regular conventional polyhedra; ergo, it provides the most volume for the least surface and the most unobstructed surface for the rollability of least effort into the shallowest nests of closestpacked, most securely selfcohering, allspace filling, symmetrical, nuclear system agglomerations with the minimum complexity of inherently concentric shell layers around a nuclear center. The more evenly faceted and the more uniform the radii of the respective polygonal members of the hierarchy of symmetrical polyhedra, the more closely they approach rollable sphericity. The fourfacet tetrahedron, the sixfaceted cube, and the eightfaceted octahedron are not very rollable, but the 12faceted, onespherecontaining rhombic dodecahedron, the 14faceted vector equilibrium, and the 14faceted tetrakaidecahedron are easily rollable. 
942.71 The tetrakaidecahedron develops from a progression of closestsphere packing symmetric morphations at the exact maximum limit of one nuclear sphere center's unique influence, just before another nuclear center develops an equal magnitude inventory of originally unique local behaviors to that of the earliest nuclear agglomeration. 
942.72
The first possible closestpacked formulation of a
tetrakaidecahedron occurs
with a threefrequency vector equilibrium as its core,
with an additional six truncated,
squarebottomed, and threefrequencybased and twofrequencyplateaued
units
superimposed on the six square faces of the threefrequency,
vectorequilibrium nuclear
core. The threefrequency vector equilibrium consists
of a shell of 92 unit radius spheres
closest packed symmetrically around 42 spheres of the
same unit radius, which in turn
closestpack enclose 12 spheres of the same unit radius,
which are closest packed around
one nuclear sphere of the same unit radius, with each
closestpackedsphere shell
enclosure producing a 14faceted, symmetrical polyhedron
of eight triangular and six
square equiedged facets. The tetrakaidecahedron's six
additional square nodes are
produced by adding nine spheres to each of the six square
faces of the threefrequency
vector equilibrium's outermost 92sphere layer. Each
of these additional new spheres is
placed on each of the six square facets of the vector
equilibrium by nesting nine balls in
closest packing in the nine possible ball matrix nests
of the threefrequency vector
equilibrium's square facets; which adds 54 balls to
the

942.73 The tetrakaidecahedron consists of 18,432 energy quanta modules, of which 12,672 are As and 5,760 are Bs; there are 1,008 As and only 192 Bs in the outermost layer, which ratio of conservancy dominance of As over distributive Bs is approximately twotoone interiorly and better than fivetoone in the outermost layer. 
Next Section: 943.00 