Square-hexadecachoric duoprism

The square-hexadecachoric duoprism or squahex is a convex uniform duoprism that consists of 4 hexadecachoric prisms and 16 square-tetrahedral duoprisms. Each vertex joins 2 hexadecachoric prisms and 8 square-tetrahedral duoprisms. It is a duoprism based on a square and a hexadecachoron, which makes it a convex segmentopeton

The square-hexadecachoric duoprism can be vertex-inscribed into the rectified hexacontatetrapeton.

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

Representations
A square-hexadecachoric duoprism has the following Coxeter diagrams:


 * x4o o4o3o3x (full symmetry)
 * x4o x3o3o *d3o (D4×B2 symmetry, hexadecachoron as demitesseract)
 * x x o4o3o3x (B4×A1×A1 symmetry, square as rectangle)
 * x x x3o3o *d3o (D4×A1×A1 symmetry, both components in half symmetry)