Question

Question #7ba0a

Answer 1

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

Explanation:

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!