Comments on fullerenes
The C60 or 'Buckball' belongs to a very small set of known molecules
with icosahedral symmetry. The icosahedral group Ih is
of order 120 (the rotations form a subgroup I of order 60).
There are now a whole family of 'fullerenes', with smaller symmetry groups.
R.F. Curl and R.E. Smalley
Scientific American 264, Oct 1991, 32-41
There is a gallery of
at the SUNYSB Molecular Structure Laboratory.
Below, C60 as a stick and ball model