Triangular-triacontaditeric duoprism

The triangular-triacontaditeric duoprism or tratac is a convex uniform duoprism that consists of 3 triacontaditeric prisms and 32 triangular-pentachoric duoprisms. Each vertex joins 2 triacontaditeric prisms and 16 triangular-pentachoric duoprisms. It is a duoprism based on a triangle and a triacontaditeron, and is thus also a convex segmentoexon, as a triacontaditeron atop triacontaditeric prism.

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

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


 * x3o o4o3o3o3x (full symmetry)
 * x3o o3o3o *d3o3x (D5×A2 symmetry)