Heptagrammic-decagonal duoprism

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

The name can also refer to the great heptagrammic-decagonal duoprism.

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

Representations
A heptagrammic-decagonal duoprism has the following Coxeter diagrams:
 * x7/2o x10o (full symmetry)
 * x5x x7/2o (H2×I2(7) symmetry, decagons as dipentagons)