Suppose we want to consider colorings to be "the same'' if one can be produced from the other by a reflection, but not if one can be obtained from the other by rotation. For example, if we say a rotat...Suppose we want to consider colorings to be "the same'' if one can be produced from the other by a reflection, but not if one can be obtained from the other by rotation. For example, if we say a rotation by 54∘ degrees produces a coloring that we consider to be the same, a rotation by −54∘ must be included as well (we may think of this as a rotation by 306∘).