The document discusses various carbon allotropes beyond graphite and diamond, including fullerenes, graphene, buckypaper, and carbon nanotubes. Fullerenes are hollow spheres or tubes made of carbon, such as buckyballs. Graphene is a single layer of carbon atoms in a hexagonal lattice that is very strong yet conductive. Buckypaper is a thin sheet made of carbon aggregates. Carbon nanotubes are hollow cylinders of carbon that are very strong and stable. The document outlines various properties and applications of these carbon allotropes in areas like biotechnology, materials science, and medicine.