Square-truncated dodecahedral duoprism

The square-truncated dodecahedral duoprism or squatid is a convex uniform duoprism that consists of 4 truncated dodecahedral prisms, 12 square-decagonal duoprisms and 20 triangular-square duoprisms. Each vertex joins 2 truncated dodecahedral prisms, 1 triangular-square duoprism, and 2 square-decagonal duoprisms. It is a duoprism based on a square and a truncated dodecahedron, which makes it a convex segmentoteron.

Vertex coordinates
The vertices of a triangular-truncated octahedral duoprism of edge length 1 are given by all even permutations of the last three coordinates of:
 * $$\left(±\frac12,\,±\frac12,\,0,\,±\frac12,\,±\frac{5+3\sqrt5}4\right),$$
 * $$\left(±\frac12,\,±\frac12,\,±\frac12,\,±\frac{3+\sqrt5}4,\,±\frac{3+\sqrt5}2\right),$$
 * $$\left(±\frac12,\,±\frac12,\,±\frac{3+\sqrt5}4,\,±\frac{1+\sqrt5}2,\,±\frac{2+\sqrt5}2\right).$$

Representations
A square-truncated dodecahedral duoprism has the following Coxeter diagrams:
 * x4o x5x3o (full symmetry)
 * x x x5x3o (truncated dodecahedral prismatic prism)