Question #7ba0a

1 Answer
Dec 13, 2017

There are infinitely many choices. See below for a case involving #16# sides.


Think of a regular octagon where you cut an isosceles triangle from each corner and form a #16#-gon. If all the triangles are congruent and they are not exactly the right size, you end up with alternating longer and shorter sides. But, because all angles in the cut #16#-gon are still congruent and alternating sides are congruent too, a #45^@# rotation gives back the same polygon just as it did for the regular octagon.

I hope that helps!