The wonderful world of beaded fullerenes
That is really good and attract the Small sierpiski beaded fullerene.butFullerenes are a family of carbon allotropes consisting of molecules composed entirely of carbon atoms arranged in the form of hollow spheres, ellipsoids, or tubes.
You are certainly right about fullerenes. There are indeed many possible sp3 based fullerene structures. We have recently published a few papers on the systematics of toroidal CNT, helical CNT and High-Genus fullerenes. I personally doubt the possible existence Sierpinski fullerenes. But, mathematically speaking, it is still an interesting generalization. I have never seen any work on this possibility. As far as I know, the most popular ones are Sierpinsky pyramid and cube.
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