Practical use of order of rotational Symmetry.

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Has anyone know what is the use of finding the order of the rotational symmetry of a figure? A student of mine ask that question from me. I search it but could not find any. Plz help.

https://www.mathsisfun.com/geometry/symmetry-rotational.html

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Well, if my screw only has a two-folod rotational symmetry, I need a different screwdriver than if it has a four-fold or six-fold symmetry. So there are real-life applications.

In many branches of science, knowing the order of some rotation is an essential step in classifying something, and the above is some very every-day example for this kind of classification.