Carbon has buckminsterfullerene as one of its allotropes. The other allotropic form of Carbon is diamond and graphite.
Diamond: It is an extremely hard, transparent crystal, with carbon atoms arranged in a tetrahedral lattice. This allotrope of carbon is a poor electrical conductor and an excellent thermal conductor.
Graphite: It is a soft, black, flaky solid, a moderate electrical conductor. The C atoms are bonded in flat hexagonal lattices (graphene), which are then layered in sheets.
Buckminster fullerene is a type of fullerene with the formula C−60. It has a cage-like fused-ring structure that resembles a soccer ball, made of 20 hexagons and 12 pentagons (60 vertices and 32 faces), with a carbon atom at each vertex of each polygon and a bond along each polygon edge. Each atom is sp2 hybridised and bonded to three other atoms.