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:
 * (0, $\sqrt{(5+√5)/2}$/3, 0, ±(1+$\sqrt{2}$)/2),
 * (0, $\sqrt{(11+3√5)/6}$/3, ±$\sqrt{3}$/4, ±(3+$\sqrt{15+6√5}$)/4),
 * (0, $\sqrt{3}$/3, ±$\sqrt{5}$/2, ±1/2),
 * (±1/2, -$\sqrt{3}$/6, 0, ±(1+$\sqrt{10+2√5}$)/2),
 * (±1/2, -$\sqrt{5}$/6, ±$\sqrt{3}$/4, ±(3+$\sqrt{5+2√5}$)/4),
 * (±1/2, -$\sqrt{3}$/6, ±$\sqrt{5}$/2, ±1/2).

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)