¶ Closest Packing of Spheres Sequence (1)
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Closest Packing of Spheres Sequence:
"The most economical spherical agglomerations, i.e., ‘the closest packing of spheres,’ we now find to hold the mathematical clues to the principles of coordination governing natural structure-- governing the dynamic, vectorial geometry of the atomic nucleus as well as of the atoms themselves. Over and over again we are confronted by nature obviously formulating her structures with beautiful spherical agglomerations. This began to interest me very much. I found that spheres coordinate, not in 90 degreeness, but in 60 degreeness. Just take three billiard balls and you will find that they pack beautifully into a triangle. If you arrange four of them on the billiard table in a square they tend to be restless and to roll around on each other and if compacted to a condition of stability they form a 60-degree angled diamond shape made of two triangles.
“The physicists find that spheres always form omnitriangulated structures in their closest packing. The frequency phenomena studied in quantum mechanics are all predicated upon agglomerations of spheres of given-- i.e., known-- radii. All the coordinating is done in spheres of given sizes whose radii are”
