Triangular-decagonal duoprismatic prism

The triangular-decagonal duoprismatic prism or tradip, also known as the triangular-decagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 triangular-decagonal duoprisms, 3 square-decagonal duoprisms, and 10 triangular-square duoprisms. Each vertex joins 2 triangular-square duoprisms, 2 square-decagonal duoprisms, and 1 triangular-decagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.

Vertex coordinates
The vertices of a triangular-decagonal duoprismatic prism of edge length 1 are given by:
 * $$\left(0,\,\frac{\sqrt3}3,\,0,\,±\frac{1+\sqrt5}2,\,±\frac12\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,0,\,±\frac{1+\sqrt5}2,\,±\frac12\right),$$
 * $$\left(0,\,\frac{\sqrt3}3,\,±\sqrt{\frac{5+\sqrt5}8},\,±\frac{3+\sqrt5}4,\,±\frac12\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\sqrt{\frac{5+\sqrt5}8},\,±\frac{3+\sqrt5}4,\,±\frac12\right),$$
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac{\sqrt{5+2\sqrt5}}2,\,±\frac12,\,±\frac12\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac{\sqrt{5+2\sqrt5}}2,\,±\frac12,\,±\frac12\right).$$

Representations
A triangular-decagonal duoprismatic prism has the following Coxeter diagrams:
 * x x3o x10o (full symmetry)
 * xx3oo xx10oo&#x (triangular-decagonal duoprism atop triangular-decagonal duoprism)
 * ox xx xx10oo&#x (decagonal prism atop square-decagonal duoprism)