604.00 Structural System
604.01 In a structural system:
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the number of vertexes (crossings) is always evenly divisible by two;
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the number of faces (openings) is always evenly divisible by four; and
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the number of edges (trajectories) is always evenly divisible by six.
605.01 Inasmuch as there are always and everywhere 12 fundamental degrees of freedom (six positive and six negative), and since every energy event is characterized by a threefold vectoringan action, a reaction, and a resultant all structures, symmetrical or asymmetrical, regular or irregular, simple or compound, will consist of the twelve-foldedness or its various multiples.
606.01 “Mathematics is the science of structure and pattern in general.” [^22] Structure is defined as a locally regenerative pattern integrity of Universe. We cannot have a total structure of Universe. Structure is inherently only local and inherently regenerative.
606.02 Structures most frequently consist of the physical interrelationships of nonsimultaneous events.
606.03 One of the deeply impressive things about structures is that they cohere at allparticularly when we begin to know something about the atoms and realize that the components of atoms are really very remote from one another, so that we simply have galaxies of events. Man is deceiving himself when he sees anything “solid” in structures.
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Fig. 608.01 Instability of Six Vectors Except as Tetrahedron: The alternate consequences of six vectored configurations. Only the tetrahedron is fully stable. It is synergetic.