Octagonal-decagrammic duoprism

The octagonal-decagrammic duoprism, also known as ostadedip or the 8-10/3 duoprism, is a uniform duoprism that consists of 10 octagonal prisms and 8 decagrammic prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a octagonal-decagrammic duoprism, centered at the origin and with unit edge length, are given by:
 * $$\left(±\frac12,\,±\frac{1+\sqrt2}2,\,±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}2\right),$$
 * $$\left(±\frac12,\,±\frac{1+\sqrt2}2,\,±\frac{3-\sqrt5}4,\,±\sqrt{\frac{5-\sqrt5}8}\right),$$
 * $$\left(±\frac12,\,±\frac{1+\sqrt2}2,\,±\frac{\sqrt5-1}2,\,0\right),$$
 * $$\left(±\frac{1+\sqrt2}2,\,±\frac12,\,±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}2\right),$$
 * $$\left(±\frac{1+\sqrt2}2,\,±\frac12,\,±\frac{3-\sqrt5}4,\,±\sqrt{\frac{5-\sqrt5}8}\right),$$
 * $$\left(±\frac{1+\sqrt2}2,\,±\frac12,\,±\frac{\sqrt5-1}2,\,0\right).$$

Representations
An octagonal-decagrammic duoprism has the following Coxeter diagrams:
 * x8o x10/3o (full symmetry)
 * x4x x10/3o (BC2×I2(10) symmetry, octagons as ditetragons)