Hexagonal-decagrammic duoprism

The hexagonal-decagrammic duoprism, also known as histadedip or the 6-10/3 duoprism, is a uniform duoprism that consists of 10 hexagonal prisms and 6 decagrammic prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a hexagonal-decagrammic duoprism, centered at the origin and with unit edge length, are given by:
 * $$\left(±1,\,0,\,±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}2\right),$$
 * $$\left(±1,\,0,\,±\frac{3-\sqrt5}4,\,±\sqrt{\frac{5-\sqrt5}8}\right),$$
 * $$\left(±1,\,0,\,±\frac{\sqrt5-1}2,\,0\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt3}2,\,±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}2\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt3}2,\,±\frac{3-\sqrt5}4,\,±\sqrt{\frac{5-\sqrt5}8}\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt3}2,\,±\frac{\sqrt5-1}2,\,0\right).$$

Representations
A hexagonal-decagrammic duoprism has the following Coxeter diagrams:
 * x6o x10/3o (full symmetry)
 * x3x x10/3o (A2×I2(10) symmetry, hexagons as ditrigons)