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Question
Can we have a rotational symmetry of order more than 1 whose angle of rotation is 45°?
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Solution
It can be observed that if the angle of rotation of a figure is a factor of 360°, then it will have a rotational symmetry of order more than 1.
It can be checked that 45° is a factor of 360°. Therefore, the figure having an angle of rotation as 45° will have a rotational symmetry of order more than 1.
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