View source for Sphere Volume Ratios in Tetrahedral and Triangular Patterns, and Some Implications

{{Infobox paper
| title = Sphere Volume Ratios in Tetrahedral and Triangular Patterns, and Some Implications
| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5952.pdf Link to paper]
| author = [[Carl R Littmann]]
| published = 2011
| journal = [[Proceedings of the NPA]]
| volume = [[8]]
| num_pages = 3
| pages = 351-353
}}

'''Read the full paper''' [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5952.pdf here]

==Abstract==

Although not obvious, there exists a volumetric ratio among big and small spheres in two basic <u>tetrahedrally</u> arrayed patterns that equals a basic spheres ratio in a somewhat similar triangular pattern. We display the cases. We show how the average of two volumetric ratios, using the most basic tetrahedrally and triangularly structured concentric spheres, equals the proton-to-electron mass ratio rather precisely. We outline how some of the above relates to some chemistry and physics, and discuss implications.   &nbsp;

[[Category:Scientific Paper|sphere volume ratios tetrahedral triangular patterns implications]]

[[Category:Structure|sphere volume ratios tetrahedral triangular patterns implications]]