Triangular-hexadecachoric duoprism

The triangular-hexadecachoric duoprism or trahex is a convex uniform duoprism that consists of 3 hexadecachoric prisms and 16 triangular-tetrahedral duoprisms. Each vertex joins 2 hexadecachoric prisms and 8 triangular-tetrahedral duoprisms. It is a duoprism based on a triangle and a hexadecachoron, and is thus also a convex segmentopeton, as a hexadecachoron atop hexadecachoric prism.

Vertex coordinates
The vertices of a triangular-hexadecachoric duoprism of edge length 1 are given by all permutations and sign changes of the last four coordinates of:
 * $$\left(0,\,\frac{\sqrt3}{3},\,±\frac{\sqrt2}{2},\,0,\,0,\,0\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,±\frac{\sqrt2}{2},\,0,\,0,\,0\right).$$

Representations
A triangular-tetrahedral duoprism has the following Coxeter diagrams:


 * x3o o4o3o3x (full symmetry)
 * x3o x3o3o *d3o (D4×A2 symmetry)
 * ox oo4oo3oo3xx&#x (A×A1 axial, hexadecachoron atop hexadecachoric prism)
 * xx3oo xo3oo3ox&#x (A3×A2 symmetry, triangula-tetrahedral duoprism atop tetrahedron-daul triangular-tetrahedral duoprism)