Octagonal-great rhombicuboctahedral duoprism

The octagonal-great rhombicuboctahedral duoprism or ogirco is a convex uniform duoprism that consists of 8 great rhombicuboctahedral prisms, 6 octagonal duoprisms, 8 hexagonal-octagonal duoprisms, and 12 square-octagonal duoprisms. Each vertex joins 2 great rhombicuboctahedral prisms, 1 square-octagonal duoprism, 1 hexagonal-octagonal duoprism, and 1 octagonal duoprism.

The octagonal-great rhombicuboctahedral duoprism can be vertex-inscribed into the cellirhombated penteractitriacontaditeron.

This polyteron can be alternated into a square-snub cubic duoantiprism, although it cannot be made uniform. The octagons can also be edge-snubbed to create a snub cubic-square prismantiprismoid or the great rhombicuboctahedra to create a square-pyritohedral prismantiprismoid, which are also both nonuniform.

Vertex coordinates
The vertices of an octagonal-great rhombicuboctahedral duoprism of edge length 1 are given by all permutations of the last three coordinates of:
 * $$\left(±\frac12,\,±\frac{1+\sqrt2}2,\,±\frac{1+2\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12\right),$$
 * $$\left(±\frac{1+\sqrt2}2,\,±\frac12,\,±\frac{1+2\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12\right).$$

Representations
An octagonal-great rhombicuboctahedral duoprism has the following Coxeter diagrams:
 * x8o x4x3x (full symmetry)
 * x4x x4x3x (BC3×BC2 symmetry, octagons as ditetragons)