Digonal-square prismantiprismoid

The bialternatosnub 2-4 duoprism or runcic snub rectified 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 4-8 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 bialternatosnub 2-4 duoprism, assuming that the tetragonal disphenoids are regular and are connected by squares of edge length 1, centered at the origin, are given by all even changes in sign (for the last two coordinates) of: together with all odd changes in sign (for the last two coordinates) of:
 * (0, ±1/2, $\sqrt{2}$/4, 3$\sqrt{2}$/4)
 * (0, ±1/2, 3$\sqrt{2}$/4, $\sqrt{2}$/4)
 * (±1/2, 0, $\sqrt{2}$/4, 3$\sqrt{2}$/4)
 * (±1/2, 0, 3$\sqrt{2}$/4, $\sqrt{2}$/4)