Tetratriangle

The tetratriangle is a polygon compound composed of 4 triangles. As such it has 12 edges and 12 vertices.

It is the third stellation of the dodecagon.

Its quotient prismatic equivalent is the triangular tetrahedroorthowedge, which is five-dimensional.

Vertex coordinates
Coordinates for the vertices of a tetratriangle of edge length 1 centered at the origin are given by:
 * (±1/2 ±$\sqrt{3}$/6),
 * (0, ±$\sqrt{3}$/3),
 * (±$\sqrt{3}$/6, ±1/2),
 * (±$\sqrt{3}$/3, 0).