3.20. The pattern on a soccer ball is based on the noncrystallographic axial combination of rotational symmetries 235 . So is the arrangement of carbon atoms in a C60 molecule called Buckminster fullerene. (a) How many (total) nontrivial rotational symmetry axes intersect at the center of the soccer ball? (b) Calculate the angles between nearby twofold, threefold, and fivefold axes. (c) Use the Internet or other literature research tool to find information about "Buckminster fullerene." Write a short essay about the discovery of C60