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I have revised this answer. This question is harder than it looks!

The numbers 69, 6009 or 98886, for example, would have rotational symmetry (looks the same when rotated by 180 degrees) but not reflection symmetry.

So I think the answer is going to be something like:

A number which consists of the digits 6 and 9 plus or minus the digits 0 & 8 AND has the digits in the necessary order to maintain rotational symmetry.

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12y ago
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Q: What numbers have rotational symmetry but no reflective symmetry?
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