Square-truncated octahedral duoprism

The square-truncated octahedral duoprism or squatoe is a convex uniform duoprism that consists of 4 truncated octahedral prisms, 8 square-hexagonal duoprisms and 6 tesseracts. Each vertex joins 2 truncated octahedral prisms, 1 tesseract, and 2 square-hexagonal duoprisms. It is a duoprism based on a square and a truncated octahedron, which makes it a convex segmentoteron.

This polyteron can be alternated into a digonal-pyritohedral icosahedral duoantiprism, although it cannot be made uniform.

The square-truncated octahedral duoprism can be vertex-inscribed into the small rhombated triacontaditeron.

Vertex coordinates
The vertices of a square-truncated octahedral duoprism of edge length 1 are given by all permutations of the last three coordinates of:
 * $$\left(±\frac12,\,±\frac12,\,0,\,±\frac{\sqrt2}2,\,±\sqrt2\right).$$

Representations
A square-truncated octahedral duoprism has the following Coxeter diagrams:
 * x4o o4x3x (full symmetry)
 * x4o x3x3x
 * x x o4x3x (truncated octahedral prismatic prism)
 * x x x3x3x
 * xx xx3xx4oo&#x (truncated octahedral prism atop truncated octahedral prism)
 * xx xx3xx3xx&#x