Octagonal-octagrammic duoprism

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

The octagonal-octagrammic duoprism can be vertex-inscribed into the small skewverted prismatohexadecadisoctachoron.

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

Representations
An octagonal-octagrammic duoprism has the following Coxeter diagrams:
 * x8o x8/3o (full symmetry)
 * x4x x8/3o (BC2×I2(8) symmetry, octagons as ditetragons)