Decagonal-decagrammic duoprism

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

This polychoron can be alternated into the great duoantiprism, which can be made uniform.

Vertex coordinates
The coordinates of a decagonal-decagrammic duoprism, centered at the origin with unit edge length, are given by:
 * $$\left(0,\,±\frac{1+\sqrt5}2,\,0,\,±\frac{\sqrt5-1}2\right),$$
 * $$\left(0,\,±\frac{1+\sqrt5}2,\,±\sqrt{\frac{5-\sqrt5}8},\,±\frac{3-\sqrt5}4\right),$$
 * $$\left(0,\,±\frac{1+\sqrt5}2,\,±\frac{\sqrt{5-2\sqrt5}}2,\,±\frac12\right),$$
 * $$\left(±\sqrt{\frac{5+\sqrt5}8},\,±\frac{3+\sqrt5}4,\,0,\,±\frac{\sqrt5-1}2\right),$$
 * $$\left(±\sqrt{\frac{5+\sqrt5}8},\,±\frac{3+\sqrt5}4,\,±\sqrt{\frac{5-\sqrt5}8},\,±\frac{3-\sqrt5}4\right),$$
 * $$\left(±\sqrt{\frac{5+\sqrt5}8},\,±\frac{3+\sqrt5}4,\,±\frac{\sqrt{5-2\sqrt5}}2,\,±\frac12\right),$$
 * $$\left(±\frac{\sqrt{5+2\sqrt5}}2,\,±\frac12,\,0,\,±\frac{\sqrt5-1}2\right),$$
 * $$\left(±\frac{\sqrt{5+2\sqrt5}}2,\,±\frac12,\,±\sqrt{\frac{5-\sqrt5}8},\,±\frac{3-\sqrt5}4\right),$$
 * $$\left(±\frac{\sqrt{5+2\sqrt5}}2,\,±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}2,\,±\frac12\right).$$

Representations
A decagonal-decagrammic duoprism has the following Coxeter diagrams:
 * x10o x10/3o (full symmetry)
 * x5x x10/3o (H2×I2(10) symmetry, decagons as dipentagons)