Square-small rhombicosidodecahedral duoprism

The square-small rhombicosidodecahedral duoprism or squasrid is a convex uniform duoprism that consists of 4 small rhombicosidodecahedral prisms, 12 square-pentagonal duoprisms, 30 tesseracts and 20 triangular-square duoprisms. Each vertex joins 2 small rhombicosidodecahedral prisms, 1 triangular-square duoprism, 2 tesseracts, and 1 square-pentagonal duoprism. It is a duoprism based on a square and a small rhombicosidodecahedron, which makes it a convex segmentoteron.

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

Representations
A square-small rhombicosidodecahedral duoprism has the following Coxeter diagrams:
 * x4o x5o3x (full symmetry)
 * x x x5o3x (small rhombicosidodecahedral prismatic prism)