This is a $#@!tail of carbon that, as I have advocated, is a building block of life and matter. I say this because nearly everything has some carbon in it, each molecule forming something bigger. If we were to observe that fullerenes are basically 'fancy' carbon allatropes - a new term I have learned! - then we could say that these special shaped carbon bonds are there doing something unusual to other atoms, of course.
So, what is the point of this entry? I want to make carbon allotrope smaller, of course, so we can deviate from the planned ones and create, for lack of a better example, plastics out of other atoms, yes?
If we were to observe that they will fall apart unless there is balance, let's look at the fullerene molecule - it is sixty carbon atoms together, yes? This means it is precisely a power of something smaller, the largest and most likely divisor of this would be [six], and that would make sense as it is about six to a 'smaller section' of it. This means, that, fullerenes are made of carbon, out of six [protons], and, twelve [mass]. this reeks of 60, 6, 12... [six]! The common number is six, of course...
So how come it takes ten for a perfect fullerene, why don't we work in multiples of six until we find the smallest building block of nanotechnology? This would stand to reason, that, sixty divided by twelve equals five, of course. This is half of the amount of sides to a fullerene, of course.
Now, five plus twelve should yield the smallest allotrope we can muster. this would be [c17] or so, of course. This would stand to reason that it would have an extra orbital, as it is uneven, and an extra unpaired proton, also leading to instability, as the orbital charts have shown - unpaired equals unstable. So, the strongest shape should be a [c6] for building materials, besides the graphite, of course.