Hexagrammic antiprism

The hexagrammic antiprism, compound of two triangular antiprisms, or compound of two octahedra, is a prismatic uniform polyhedron. It consists of 12 triangles and 2 hexagrams. Each vertex joins one hexagram and three triangles. As the name suggests, it is an antiprism based on a hexagram.

Its quotient prismatic equivalent is the digonal-triangular duoantiprism, which is four-dimensional.

A less-symmetric variant of the hexagrammic antiprism with golden hexagrams as bases occurs as a combocell type of every baby monster snub.

Vertex coordinates
A hexagrammic antiprism of edge length 1 has vertex coordinates given by:
 * $$\left(\pm\frac12,\,\pm\frac{\sqrt3}{6},\,\pm\frac{\sqrt6}{6}\right),$$
 * $$\left(0,\,\pm\frac{\sqrt3}{3},\,\pm\frac{\sqrt6}{6}\right).$$