• A fullerene is a molecule of carbon in the form of a hollow sphere, ellipsoid, tube, and many other shapes. Spherical fullerenes, also referred to as Buckminsterfullerenes or buckyballs, resemble the balls used in association football.
• Cylindrical fullerenes are also called carbon nanotubes (buckytubes).
• Fullerenes are similar in structure to graphite, which is composed of stacked graphene sheets of linked hexagonal rings. Unless they are cylindrical, they must also contain pentagonal (or sometimes heptagonal) rings.
• The first fullerene molecule to be discovered, and the family’s namesake, buckminsterfullerene (C₆₀), was manufactured in 1985 by Richard Smalley, Robert Curl, James Heath, Sean O’Brien, and Harold Kroto at Rice University.
• The name was an homage to Buckminster Fuller, whose geodesic domes it resembles.
• The structure was also identified some five years earlier by Sumio Iijima, from an electron microscope image, where it formed the core of a “bucky onion”.
• Fullerenes have since been found to occur in nature.
• More recently, fullerenes have been detected in outer space.
• According to astronomer Letizia Stanghellini,  It’s possible that buckyballs from outer space provided seeds for life on Earth.
• The discovery of fullerenes greatly expanded the number of known carbon allotropes, which had previously been limited to graphite, graphene, diamond, and amorphous carbon such as soot and charcoal.
• Buckyballs and buckytubes have been the subject of intense research, both for their chemistry and for their technological applications, especially in materials science, electronics, and nanotechnology.

Source:Wikipedia