Difference between revisions of "Sphere Volume Ratios in Tetrahedral and Triangular Patterns, and Some Implications"

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| title = Sphere Volume Ratios in Tetrahedral and Triangular Patterns, and Some Implications
 
| 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]
 
| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5952.pdf Link to paper]
| author = [[Carl R. Littmann]]
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| author = [[Carl R Littmann]]
 
| published = 2011
 
| published = 2011
 
| journal = [[Proceedings of the NPA]]
 
| journal = [[Proceedings of the NPA]]
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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;
 
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]]
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[[Category:Scientific Paper|sphere volume ratios tetrahedral triangular patterns implications]]
  
 
[[Category:Structure]]
 
[[Category:Structure]]

Revision as of 11:06, 1 January 2017

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.