Sphere Volume Ratios in Tetrahedral and Triangular Patterns, and Some Implications
| Scientific Paper | |
|---|---|
| Title | Sphere Volume Ratios in Tetrahedral and Triangular Patterns, and Some Implications |
| Read in full | Link to paper |
| Author(s) | Carl R Littmann |
| Keywords | {{{keywords}}} |
| Published | 2011 |
| Journal | Proceedings of the NPA |
| Volume | 8 |
| No. of pages | 3 |
| Pages | 351-353 |
Read the full paper here
Abstract
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.