Sphere Volume Ratios in Tetrahedral and Triangular Patterns, and Some Implications
|Title||Sphere Volume Ratios in Tetrahedral and Triangular Patterns, and Some Implications|
|Read in full||Link to paper|
|Author(s)||Carl R Littmann|
|Journal||Proceedings of the NPA|
|No. of pages||3|
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Although not obvious, there exists a volumetric ratio among big and small spheres in two basic tetrahedrally 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.