Square-great rhombicuboctahedral duoprism

The square-great rhombicuboctahedral duoprism or squagirco is a convex uniform duoprism that consists of 4 great rhombicuboctahedral prisms, 6 square-octagonal duoprisms, 12 tesseracts, and 8 square-hexagonal duoprisms. Each vertex joins 2 great rhombicuboctahedral prisms, 1 tesseract, 1 square-hexagonal duoprism, and 1 square-octagonal duoprism. It is a duoprism based on a square and a great rhombicuboctahedron, which makes it a convex segmentoteron.

The square-great rhombicuboctahedral duoprism can be vertex-inscribed into a celliprismated penteract.

This polyteron can be alternated into a digonal-snub cubic duoantiprism, although it cannot be made uniform. The great rhombicuboctahedra can also be edge-snubbed to create a digonal-pyritohedral prismantiprismoid, which is also nonuniform.

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

Representations
A square-great rhombicuboctahedral duoprism has the following Coxeter diagrams:
 * x4o x4x3x (full symmetry)
 * x x x4x3x (great rhombicuboctahedral prismatic prism)