¶ Prime Structural Systems (1)
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Cross Reference
Prime Structural Systems:
"The domain of the tetrahedron is the tetrahedron as defined by four spheres in a tetrahedral, omni-embracing, closest-packed tangency network. The domain of an octahedron is an octahedron as defined by six spheres closest packed octahedrally. The domain of an icosahedron is an icosahedron as defined by 12 spheres closest packed without a nucleus. All of the three foregoing non-nuclear-containing domains of the tetrahedron, octahedron, and icosahedron are defined by superficially omnitriangulated closest packing of the four spheres, six spheres, and 12 spheres, respectively, which we have defined elsewhere as omnitriangulated systems or as prime structural systems. There are no other symmetrical non-nuclear-containing domains of closest-packed volume-embracing agglomerations.
“While other total closest-packed-sphere enbracements, or agglomerations, may be symmetrical or superficially asymmetrical in the form of crocodiles, alligators, pears, or billiard balls, they constitute complex associations of prime structural systems. Only the tetrahedral, octahedral, and icosahedral domains are basic structural systems without nuclei.”
¶ Cross-References
- Sections.10+11+12, 1010
¶ Citations
- RBF marginalia at Synergetics draft “Omnitopology,” July '71
