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.
sqrt(3) can subtend either 120 or 240
The final triangle is sqrt(3)-1-1 in Steve's notation or
240+60+60 in Charlie's.
I say final, but I don't know if I'm absolutely sure there are no more.
|
Posted by Jer
on 2023-04-29 18:15:22 |