Digonal-square prismantiprismoid

The digonal-square prismantiprismoid, also known as the bialternatosnub digonal-square duoprism or bialternatosnub 2-4 duoprism, is a convex isogonal polychoron that consists of 4 rectangular trapezoprisms, 4 tetragonal disphenoids and 8 wedges obtained through the process of bialternating (i.e. alternating two adjacent vertices) the square-octagonal duoprism. However, it cannot be made uniform.

A variant with regular tetrahedra can be vertex-inscribed into a rectified tesseract.

Vertex coordinates
The vertices of a digonal-square prismantiprismoid, assuming that the tetragonal disphenoids are regular and are connected by squares of edge length 1, centered at the origin, are given by:
 * (0, ±1/2, ±$\sqrt{2}$/4, ±3$\sqrt{2}$/4),
 * (±1/2, 0, ±3$\sqrt{2}$/4, ±$\sqrt{2}$/4).