Great heptagrammic-decagonal duoprism

The great heptagrammic-decagonal duoprism, also known as gishdedip or the 7/3-10 duoprism, is a uniform duoprism that consists of 10 great heptagrammic prisms and 7 decagonal prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a great heptagrammic-decagonal duoprism, centered at the origin and with edge length 2sin(3π/7), are given by: where j = 2, 4, 6.
 * $$\left(1,\,0,\,±\sin\frac{3\pi}7,\,±\sqrt{5+2\sqrt5}\sin\frac{3\pi}7\right),$$
 * $$\left(1,\,0,\,±\frac{3+\sqrt5}2\sin\frac{3\pi}7,\,±\sqrt{\frac{5+\sqrt5}2}\sin\frac{3\pi}7\right),$$
 * $$\left(1,\,0,\,±\left(1+\sqrt5\right)\sin\frac{3\pi}7,\,0\right),$$
 * $$\left(\cos\left(\frac{j\pi}7\right),\,±\sin\left(\frac{j\pi}7\right),\,±\sin\frac{3\pi}7,\,±\sqrt{5+2\sqrt5}\sin\frac{3\pi}7\right),$$
 * $$\left(\cos\left(\frac{j\pi}7\right),\,±\sin\left(\frac{j\pi}7\right),\,±\frac{3+\sqrt5}2\sin\frac{3\pi}7,\,±\sqrt{\frac{5+\sqrt5}2}\sin\frac{3\pi}7\right),$$
 * $$\left(\cos\left(\frac{j\pi}7\right),\,±\sin\left(\frac{j\pi}7\right),\,±\left(1+\sqrt5\right)\sin\frac{3\pi}7,\,0\right),$$

Representations
A great heptagrammic-decagonal duoprism has the following Coxeter diagrams:
 * x7/3o x10o (full symmetry)
 * x5x x7/3o (H2×I2(7) symmetry, decagons as dipentagons)