Is Carbon 60 the Most Optimal Molecule for 3D Space?

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SUMMARY

Carbon 60 (C-60) is not the optimal polyhedron for 3D space, as discussed in the context of geometric configurations of Uniform Polyhedra. The conversation highlights that an infinitely long linear chain molecule, referred to as "n-infinitene" for open loops and "cylcoinfinitene" for closed loops, is considered more optimal in 2D space. The distinction between minimum and maximum optimization is crucial for understanding molecular configurations. The discussion emphasizes the need for clarity in terminology when addressing molecular optimization.

PREREQUISITES
  • Understanding of geometric configurations of Uniform Polyhedra
  • Familiarity with molecular structures, specifically Carbon 60 (C-60)
  • Knowledge of 2D and 3D space concepts
  • Basic principles of optimization in molecular chemistry
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  • Research the properties and applications of Carbon 60 (C-60) in various fields
  • Explore the concept of "n-infinitene" and "cylcoinfinitene" molecules
  • Study optimization techniques in molecular chemistry
  • Investigate the implications of Natural Selection and Cosmic Natural Selection in molecular configurations
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Researchers in molecular chemistry, mathematicians interested in geometric configurations, and anyone exploring the optimization of molecular structures in different dimensional spaces.

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Is Carbon 60 :http://www.popmath.org.uk/sculpture/pages/jmv/example2.html

the optimum volume for area of 3-D space?


There are a vast number of geometric configurations of Uniform Polyhedra:
http://www.mathconsult.ch/showroom/unipoly/list-graph.html

But in Natural Selective, or Smolin's Cosmic Natural Selection to be precise, is there no choice?

Can we create a more optimum molecule?...is there a molecule that could exist in 2-Dimensional space!
 
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1. Optimum is either a minimum or a maximum. Which do you mean, and why is this important ? Either way, the C-60 shape is not an optimal polyhedron.

2. An infinitely long, linear chain (open loop "n-infinitene" or closed "cylcoinfinitene") molecule will be "more optimal" in 2D.
 
Gokul43201 said:
1. Optimum is either a minimum or a maximum. Which do you mean, and why is this important ? Either way, the C-60 shape is not an optimal polyhedron.

2. An infinitely long, linear chain (open loop "n-infinitene" or closed "cylcoinfinitene") molecule will be "more optimal" in 2D.

I guess my wording of 'optimum' is totally incorrect :blushing: ..and it is Optimal that I was meant to have written :eek:

Thanks for the subtle hint, and I will be adding at a later date.
 

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