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.

Vertex coordinates
A hexagrammic antiprism of edge length 1 has vertex coordinates given by:
 * (±1/2, ±$\sqrt{2}$/6, ±$\sqrt{6}$/6),
 * (0, ±$\sqrt{2}$/3, ±$\sqrt{3}$/6).