mayorga23 mayorga23

13-02-2018
Mathematics

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Is there a rotation for which the orientation of the image is always the same as that of the preimage

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angelnunez951p3tae6 angelnunez951p3tae6

13-02-2018

Sure. 360 degrees, or any integer multiple thereof.

Of course, if it starts out as a circle, then ANY rotation qualifies.

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sqdancefan sqdancefan

13-02-2018

Yes.

If the image has rotational symmetry of order N, there are N such rotatations.

Any image has rotational symmetry of at least order 1, which is to say it looks the same if you rotate it one full turn.

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