For which integers
![n \geq 3](/media/m/5/4/8/54807b3bf99aa939833fe57bf8d891d3.png)
does there exist a regular
![n](/media/m/a/e/5/ae594d7d1e46f4b979494cf8a815232b.png)
-gon in the plane such that all its vertices have integer coordinates in a rectangular coordinate system?
%V0
For which integers $n \geq 3$ does there exist a regular $n$-gon in the plane such that all its vertices have integer coordinates in a rectangular coordinate system?