“…Covalently bound networks of sp 2 -hybridized carbon atoms build a plethora of topological π-structures ranging from zero-dimensional spherical fullerenes , to one-dimensional cylindrical carbon nanotubes (CNTs) and two-dimensional flat graphene, as well as three-dimensional cage-like π-networks (e.g., hypothetical schwarzite or Mackay crystals, Figure ). − Their substructures, often denoted as polycyclic aromatic hydrocarbons (PAHs) or nanocarbons, have received tremendous attention because of their aesthetic architecture and exceptional optoelectronic properties. − Such π-electron-rich nanocarbons exhibit diverse geometric configurations with different Gaussian curvatures (positive, zero, or negative). , These features endow them with the capacity for building the dispersion-driven supramolecular complexes or cocrystals with other PAHs of proper shape complementarity. − Although many examples of fullerene–PAH complexes have been isolated to date, − these structures have barely been correlated to the new type of carbon allotropes. Such supramolecular complexes could be the building blocks to gain insight into yet-unknown carbon allotropes. ,, Here we show a conceptual fullerene–schwarzite complex and isolation of its supramolecular substructure.…”