Stellated octagon

The stellated octagon, or soc is a polygon compound composed of two squares. As such it has 8 edges and 8 vertices.

It is the first stellation of the octagon.

Vertex coordinates
Coordinates for the vertices of a stellated octagon of edge length 1 centered at the origin are given by:
 * (±1/2, ±1/2),
 * (±$\sqrt{2}$/2, 0),
 * (0, ±$\sqrt{2}$/2).