Which regular polygon has a minimum rotation of 45 to carry the polygon onto itself

In order for the regular polygon to map onto itself by a rotation of 45°, it should have a central angle of 45° between lines that connect the vertices to the center.

If the regular polygon has n side, then
360°/n = 45°
n = 360/45 = 8

  An octagon

The expression of this would be 3.75x+y= 23

Iwould say rat and vsu but i’m not 100% sure