Triangular-hexagonal duoprism

The triangular-hexagonal duoprism or thiddip, also known as the 3-6 duoprism, is a uniform duoprism that consists of 3 hexagonal prisms and 6 triangular prisms, with two of each meeting at each vertex.

The convex hull of two orthogonal triangular-hexagonal duoprisms is either the triangular duoexpandoprism or the triangular duotruncatoprism.

It is also a CRF segmentochoron, being a hexagon atop hexagonal prism. It is designated K-4.47 on Richard Klitzing's list.

Vertex coordinates
Coordinates for the vertices of a triangular-hexagonal duoprism of edge length 1, centered at the origin, are given by:
 * $$\left(0,\,\frac{\sqrt3}{3},\,0,\,±1\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,±\frac{\sqrt3}{2},\,±\frac12\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,0,\,±1\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,±\frac{\sqrt3}{2},\,±\frac12\right).$$

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


 * x3o x6o (full symmetry)
 * x3x x3o (A2×A2 symmetry, hexagon as ditrigon)
 * s3s2x3x
 * ox xx6oo&#x (G2×A1 axial, hexagon atop hexagonal prism)
 * ox xx3xx&#x (A2×A1 axial, as above with ditrigon symmetry)
 * xux xxx3ooo&#x (A2×A1 axial, triangular prism-first)