Square-truncated tetrahedral duoprism

The square-truncated tetrahedral duoprism or squatut is a convex uniform duoprism that consists of 4 truncated tetrahedral prisms, 4 square-hexagonal duoprisms and 4 triangular-square duoprisms. Each vertex joins 2 truncated tetrahedral prisms, 1 triangular-square duoprism, and 2 square-hexagonal duoprisms. It is a duoprism based on a square and a truncated tetrahedron, which makes it a convex segmentoteron.

Vertex coordinates
The vertices of a square-truncated tetrahedral duoprism of edge length 1 are given by all permutations and even sign changes of the last three coordinates of:
 * $$\left(±\frac12,\,±\frac12,\,\frac{3\sqrt2}4,\,\frac{\sqrt2}4,\,\frac{\sqrt2}4\right).$$

Representations
A square-truncated tetrahedral duoprism has the following Coxeter diagrams:
 * x4o x3x3o (full symmetry)
 * x x x3x3o (truncated tetrahedral prismatic prism)
 * xx oo3xx3xx&#x (truncated tetrahedral prism atop truncated tetrahedral prism)