4. [10 points] Consider the following image: (a) What is the maximal order of a rotational symmetry of this pattern that preserves colours? What would the answer be if colours were ignored? Explain your answers. (b) Does the pattern have any opposite symmetries? Explain your answer.{c} The owers that appear have an order 5 symmetry. Does this contradict the fact that a wallpaper group cannot have a rotation of order 5? Explain your answer. {d} For this pattern: What is the maximal order of a rotational symmetry that preserves colours? What would the answer be if colours were ignored? Does the pattern have an}r opposite symmetries? Explain your answers