Triangular-decagonal duoprism

The triangular-decagonal duoprism or tradedip, also known as the 3-10 duoprism, is a uniform duoprism that consists of 3 decagonal prisms and 10 triangular prisms, with 2 of each at each vertex.

It is also a CRF segmentochoron, being decagon atop decagonal prism. It is designated K-4.94 on Richard Klitzing's list.

Vertex coordinates
Coordinates for the vertices of a triangular–decagonal duoprism of edge length 1, centered at the origin, are given by:
 * $$\left(0,\,\frac{\sqrt3}{3},\,0,\,±\frac{1+\sqrt5}{2}\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,±\sqrt{\frac{5+\sqrt5}{8}},\,±\frac{3+\sqrt5}{4}\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,±\frac{\sqrt{5+2\sqrt5}}{2},\,±\frac12\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,0,\,±\frac{1+\sqrt5}{2}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,±\sqrt{\frac{5+\sqrt5}{8}},\,±\frac{3+\sqrt5}{4}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,±\frac{\sqrt{5+2\sqrt5}}{2},\,±\frac12\right),$$

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


 * x3o x10o (full symetry)
 * x3o x5x (A2×H2 symmetry, decagon as dipentagon)
 * ox xx10oo&#x (I2(10)×A1 axial, decagon atop decagon prism)
 * ox xx5xx&#x (H2×A1 axial)