Square-square antiprismatic duoprism

The square-square antiprismatic duoprism or squasquap is a convex uniform duoprism that consists of 4 square antiprismatic prisms, 2 tesseracts, and 8 triangular-square duoprisms. Each vertex joins 2 square antiprismatic prisms, 3 triangular-square duoprisms, and 1 tesseract. It is a duoprism based on a square and a square antiprism, which makes it a convex segmentoteron.

Vertex coordinates
The vertices of a square-square antiprismatic duoprism of edge length 1 are given by:
 * $$\left(±\frac12,\,±\frac12,\,±\frac12,\,±\frac12,\,\frac{\sqrt[4]8}4\right),$$
 * $$\left(±\frac12,\,±\frac12,\,0,\,±\frac{\sqrt2}2,\,-\frac{\sqrt[4]8}4\right),$$
 * $$\left(±\frac12,\,±\frac12,\,±\frac{\sqrt2}2,\,0,\,-\frac{\sqrt[4]8}4\right).$$

Representations
A square-square antiprismatic duoprism has the following Coxeter diagrams:
 * x4o s2s8o (full symmetry; square antiprisms as alternated octagonal prisms)
 * x4o s2s4s (square antiprisms as alternated ditetragonal prisms)
 * x x s2s8o (square antiprismatic prismatic prism)
 * x x s2s4s