Diamonds form a 3 dimensional lattice. They also have four bonds per atom. This makes a very strong material.
Graphite forms a 2 dimensional lattice. It has 3 bonds per atoms (the fourth bond is added to the other three making partial double bonds). It forms sheets. It has excellent 2d strength: It is what is used in carbon fibers. It also is an excellent lubricant because the sheets slide on one another.
Fullerene's are like graphite, but the small sheets are wrapped up into small balls or tubes. This gives them 3d strength. But they lack large scale 3d properties.
Graphite forms a 2 dimensional lattice. It has 3 bonds per atoms (the fourth bond is added to the other three making partial double bonds). It forms sheets. It has excellent 2d strength: It is what is used in carbon fibers. It also is an excellent lubricant because the sheets slide on one another.
Fullerene's are like graphite, but the small sheets are wrapped up into small balls or tubes. This gives them 3d strength. But they lack large scale 3d properties.