Enneagrammic-decagonal duoprism

The enneagrammic-decagonal duoprism, also known as stededip or the 9/2-10 duoprism, is a uniform duoprism that consists of 10 enneagrammic prisms and 9 decagonal prisms, with 2 of each at each vertex.

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

Vertex coordinates
The coordinates of an enneagrammic-decagonal duoprism, centered at the origin and with edge length 2sin(2π/9), are given by: where j = 2, 4, 8.
 * $$\left(1,\,0,\,±\sin\frac{2\pi}9,\,±\sqrt{5+2\sqrt5}\sin\frac{2\pi}9\right),$$
 * $$\left(1,\,0,\,±\frac{3+\sqrt5}2\sin\frac{2\pi}9,\,±\sqrt{\frac{5+\sqrt5}2}\sin\frac{2\pi}9\right),$$
 * $$\left(1,\,0,\,±\left(1+\sqrt5\right)\sin\frac{2\pi}9,\,0\right),$$
 * $$\left(\cos\left(\frac{j\pi}9\right),\,±\sin\left(\frac{j\pi}9\right),\,±\sin\frac{2\pi}9,\,±\sqrt{5+2\sqrt5}\sin\frac{2\pi}9\right),$$
 * $$\left(\cos\left(\frac{j\pi}9\right),\,±\sin\left(\frac{j\pi}9\right),\,±\frac{3+\sqrt5}2\sin\frac{2\pi}9,\,±\sqrt{\frac{5+\sqrt5}2}\sin\frac{2\pi}9\right),$$
 * $$\left(\cos\left(\frac{j\pi}9\right),\,±\sin\left(\frac{j\pi}9\right),\,±\left(1+\sqrt5\right)\sin\frac{2\pi}9,\,0\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}2,\,±\sin\frac{2\pi}9,\,±\sqrt{5+2\sqrt5}\sin\frac{2\pi}9\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}2,\,±\frac{3+\sqrt5}2\sin\frac{2\pi}9,\,±\sqrt{\frac{5+\sqrt5}2}\sin\frac{2\pi}9\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}2,\,±\left(1+\sqrt5\right)\sin\frac{2\pi}9,\,0\right),$$

Representations
An enneagrammic-decagonal duoprism has the following Coxeter diagrams:
 * x9/2o x10o (full symmetry)
 * x5x x9/2o (H2×I2(9) symmetry, decagons as dipentagons)