Octahedral duoprism

The octahedral duoprism or octdip is a convex uniform duoprism that consists of 16 triangular-octahedral duoprisms. 8 facets join at each vertex. It is the prism product of two octahedra. It is the first in an infinite family of isopetic digonal hosohedral swirlpeta. It is also a convex segmentopeton, as a triangular-octahedral duoprism atop triangle-dual triangular-octahedral duoprism.

Its circumradius is equal to its edge length, which relates to the fact that this polytope is the vertex figure of the Euclidean trirectified hexeractic hexacomb.

The octahedral duoprism can be vertex-inscribed into the rectified hexacontatetrapeton.

Vertex coordinates
The vertices of an octahedral duoprism of edge length 1 are given by all permutations of the first three coordinates and all permutations of the last three coordinates of:
 * $$\left(±\frac{\sqrt2}{2},\,0,\,0,\,±\frac{\sqrt2}{2},\,0,\,0\right).$$

Representations
An octahedral duoprism has the following Coxeter diagrams:


 * o4o3x o4o3x (full symmetry)
 * o4o3x o3x3o (one octahedron as tetratetrahedron)
 * o3x3o o3x3o (both octahedra as tetratetrahedra)