Stellated dodecagon

The stellated dodecagon, or sedog, is a polygon compound composed of two hexagons. As such it has 12 edges and 12 vertices.

As the name suggests, it is the first stellation of the dodecagon.

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

Vertex coordinates
Coordinates for the vertices of a stellated dodecagon of edge length 1 centered at the origin are given by:
 * $$\left(±\frac12,\,±\frac{\sqrt3}{2}\right),$$
 * $$\left(±1,\,0\right),$$
 * $$\left(±\frac{\sqrt3}{2},\,±\frac12\right),$$
 * $$\left(0,\,±1\right).$$

Variations
The stellated dodecagon can be varied by changing the angle between the two component hexagons from the usual 30°. These 2-hexagon compounds generally have a dihexagon as their convex hull and remain uniform, but not regular, with hexagonal symmetry only.