Dioctagram

The dioctagram or diog is a polygon compound composed of two octagrams. As such it has 16 edges and 16 vertices.

It is the fifth stellation of the hexadecagon.

Its quotient prismatic equivalent is the octagrammic antiprism, which is three-dimensional.

Vertex coordinates
Coordinates for a of edge length $\sqrt{2-√2}$, centered at the origin, are all permutations of:
 * $$\left(\pm1,\,0\right),$$
 * $$\left(\pm\frac{2+\sqrt2}{2},\,\pm\frac{2-\sqrt2}{2}\right),$$
 * $$\left(\pm\frac{\sqrt2}{2},\,\pm\frac{\sqrt2}{2}\right).$$