Sphere Volume Ratios in Tetrahedral and Triangular Patterns, and Some Implications

From Natural Philosophy Wiki
Jump to: navigation, search
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.