- The possibility of interlinking buckminsterfullerene molecules via -bonds to form, novel nanostructures is considered. That is, each node of such a super-structure is itself a buckyball. Particular attention is directed to regular polyhedral nanostructures as well as the self-similar truncated icosahedral nanostructure. A systematic consideration of geometric constraints is presented, and an informative perturbative development of the -MOs and their eigenspectra is made. A truncated icosahedral construction yields a buckyball buckyball, and iteration of this construction leads toward a buckyball fractal.