Heptagonal-decagrammic duoprism

The heptagonal-decagrammic duoprism, also known as hestadedip or the 7-10/3 duoprism, is a uniform duoprism that consists of 10 heptagonal prisms and 7 decagrammic prisms, with 2 of each at each vertex.

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