Consider a convex polygon such that:

• Each of its sides correspond to the square root of a positive integer.
• The polygon can be inscribed in an unit circle.

Determine the total number of polygons that simultaneously satisfy the 2 properties mentioned above.

Note: Polygons that are rotations and reflections of each other are considered the same.

(In reply to There's one more by Jer)

Absolutely right!  Nice work.

Posted by Steve Herman on 2023-05-03 11:56:38