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Rotational symmetry means it will look the same after being rotated a certain amount.

Let's assume that you mean a regular octagon where the sides are all equal in length and the angles are all the same (135 degrees).

With such an octagon, if you rotate it one turn to the right (that's 45 degrees), it will look just the same. Rotate another 45° and it is still the same. You can do this 8 times so we say that a regular octagon has an order of rotational symmetry of 8.

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8y ago
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8y ago

It need not have any rotational symmetry (ie order 1). Or, it can have symmetries of order 2, 4 or 8.

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Q: What is the rotational symmetry of an octagon?
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