[Math] rotational symmetry on a circle


I've heard that rotational symmetry is where a figure is rotated a bit before it looks the same. in that case, what rotational symmetry is there on a circle? is there none, or is there infinite, or is it something else?

Best Answer

Simple, there is an infinite order of rotation.

That is because the the centroid, the centre, has the same distance to any point on the circumference.

Common sense: it cannot be zero as there is more than no order of rotation.

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