220.01 Principles 
220.011 The synergetics principles described in this work are experimentally demonstrable. 
220.03 Pure principles are usable. They are reducible from theory to practice. 
220.10 Reality and Eternality 
221.00 Principle of Unity 
221.01 Synergetics constitutes the original disclosure of a hierarchy of rational quantation and topological interrelationships of all experiential phenomena which is omnirationally accounted when we assume the volume of the tetrahedron and its six vectors to constitute both metaphysical and physical unity. (See chart at 223.64.) (See Sec. 620.12.) 
222.00 Omnidirectional Closest Packing of Spheres 
Fig. 222.01 
222.01 Definition: The omnidirectional concentric closest packing of equal radius spheres about a nuclear sphere forms a matrix of vector equilibria of progressively higher frequencies. The number of vertexes or spheres in any given shell or layer is edge frequency (F) to the second power times ten plus two. 
222.02 Equation: 
10F^{2} + 2 = the number of vertexes or spheres in any layer, 
F = edge frequency, i.e., the number of outerlayer edge modules. 
222.23 Excess of Two in Each Layer: The first layer consists of 12 spheres tangentially surrounding a nuclear sphere; the second omnisurrounding tangential layer consists of 42 spheres; the third 92, and the order of successively enclosing layers will be 162 spheres, 252 spheres, and so forth. Each layer has an excess of two diametrically positioned spheres which describe the successive poles of the 25 alternative neutral axes of spin of the nuclear group. (See illustrations 450.11a and 450.11b.) 
222.25 Isotropic Vector Matrix: The closest packing of spheres characterizes all crystalline assemblages of atoms. All the crystals coincide with the set of all the polyhedra permitted by the complex configurations of the isotropic vector matrix (see Sec. 420), a multidimensional matrix in which the vertexes are everywhere the same and equidistant from one another. Each vertex can be the center of an identicaldiameter sphere whose diameter is equal to the uniform vector’s length. Each sphere will be tangent to the spheres surrounding it. The points of tangency are always at the midvectors. 
Fig. 222.30 
222.30 Volume of Vector Equilibrium: If the geometric volume of one of the uniform tetrahedra, as delineated internally by the lines of the isotropic vector matrix system, is taken as volumetric unity, then the volume of the vector equilibrium will be 20. 
222.31 The volume of any series of vector equilibria of progressively higher frequencies is always frequency to the third power times 20. 
222.32
Equation for Volume of Vector Equilibrium:
Volume of vector equilibrium = 20F^{3},
Where
F = frequency.

222.50 Classes of Closest Packing: There are three classes of closest packing of unitradius spheres: 
Next Section: 223.00 