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

[Spin_Network]

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!

 

[Gokul43201]

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.

 

[Spin_Network]

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 ..and it is Optimal that I was meant to have written

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