Fullerenes are molecular carbon solids with very strong intramolecular bonds but very weak intermolecular ones. However, a large number of reactive intramolecular double bonds on each molecule also enables C_60 to form covalent intermolecular bonds under pressure. This implies that a )pressure has a large effect on the physical properties of C_60 in its pristine zero-pressure forms, and b)treatment at high pressure and high temperature leads to the formation of new, polymeric phases with covalent intermolecular bonds, phases which have new, interesting properties and which may have practical applications in the future. I discuss here some recent experimental results on the structure and properties of C_60 under high pressure.
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