what is the point group of Fullere?
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In geometry, a point group is a group of geometric symmetries (isometries) that keep at least one point fixed. Point groups can exist in a Euclidean space with any dimension, and every point group in dimension d is a subgroup of the orthogonal group O(d). Point groups can be realized as sets of orthogonal matrices M that transform point x into point y:
y = Mx
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The symmetry group of the fullerene C. 60
The rotational symmetries form a subgroup R of S of index 2 which is isomorphic to A5. The point group symbols for S and R are Ih and I.
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