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Prime Number Inherency of Structural Systems: Principle of

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RBF Definitions

"Omnitriangulated symmetric systems are ployhedra whose

vertexes derive from the external set of the closest

packing of spheres and are rationally accountable in

terms of the first four prime numbers (N), that is 1 or

2, or 3, or 5.

Equation: X = 2 N (F^2) + 2

where: X = number of crossings, vertexes, or spheres in the

outer layer or shell of any symmetrical system

N = one of the first four prime numbers: 1, 2, 3, or 5

F = edge frequency, i.e., the number of outer layer edge modules.

Citations

  1. SYNERGETICS Draft, March 1971 (Rev)

C14071