Omnidirectional Closest Packing Around a Nucleus

Wednesday, July 16, 2008

Excerpt from Bucky Fuller's magnum opus, Synergetics.

Figure 413.01
:

Fig. 413.01

Fig. 413.01 Vector Equilibrium: Omnidirectional Closest Packing Around a Nucleus: Triangles can be subdivided into greater and greater numbers of similar units. The number of modular subdivisions along any edge can be referred to as the frequency of a given triangle. In triangular grid each vertex may be expanded to become a circle or sphere showing the inherent relationship between closest packed spheres and triangulation. The frequency of triangular arrays of spheres in the plane is determined by counting the number of intervals (A) rather than the number of spheres on a given edge. In the case of concentric packings or spheres around a nucleus the frequency of a given system can either be the edge subdivision or the number of concentric shells or layers. Concentric packings in the plane give rise to hexagonal arrays (B) and omnidirectional closest packing of equal spheres around a nucleus (C) gives rise to the vector equilibrium (D).

Posted by Jonah Dempcy at 12:41 AM  

1 comments:

Have you by chance read Letters Upon The Mast by Michael Donovan? The entire book is based on the symbolism of the cuboctahedron and can be viewed freely here:
http://www.midcoast.com/~michael1/Book.htm

Quantum Anomaly said...
November 24, 2011 at 12:42 AM  

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