Hexagram

The hexagram, or shig, also called the stellated hexagon, is the simplest possible polygon compound, being the compound of two triangles. As such it has 6 edges and 6 vertices. If the components are equilateral triangles, the compound will be regular.

It is the only stellation of the regular hexagon, which is the polygon with most sides to have no stellations aside from compounds.

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

Vertex coordinates
Coordinates for the vertices of a hexagram of edge length 1 centered at the origin are given by:
 * $$\left(0,\,±\frac{\sqrt3}{3}\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt3}{6}\right).$$