Construction of Sierpiński Superfullerenes with the Aid of Zome Geometry: Application to Beaded Molecules

Chern Chuang and Bih-Yaw Jin
Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (2013)
Pages 495–498


Superfullerenes are a class of complex hypothetical molecules in which each atom of an ordinary fullerene is replaced with yet another fullerene and properly connected to the neighbors accordingly. This self-similarity between the building blocks and the entire structure is known as a Sierpiński sieve. Here we further apply the principle of zome geometry to help construct stable superfullerenes that can serve as models for making beaded molecules. The method has high applicability, and in principle any kind of structure constructed with, for example, Zometool® can be built this way.