(Solved): e. Visualizing symmetry operations is useful for identifying symmetry in crystals. This in turn is ...

e. Visualizing symmetry operations is useful for identifying symmetry in crystals. This in turn is useful for mineral identification. This exercise is designed to help you visualize symmetry operations in some creative ways. A regular hexagon is highly symmetrical. It has a 6 -fold rotational axis coincident with its center as well as 6 mirror planes that are shown in the upper left figure below. Your mission is to draw something inside the other hexagons so that the number of mirror planes is reduced to the number specified below each of the other 3 hexannne. f. What happens to the rotational symmetry when the number of mirror planes is reduced? (Don't spend too much time on this and try not to overthink it.)