A buckyball! But this is under Number Theory?

Number Theory Level pending

Some of you all may know of an organic compound known as Buckminsterfullerene (wikipedia says so), but it is better know as a bucky-ball. It has carbon atoms positioned on the vertices of a soccer ball, and thus has the shape of a truncated icosahedron. But none of this stuff anymore.

What exactly is \(C_{60}\)?

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