Square-octagonal duoprism

The 4-8 duoprism is a uniform duoprism that consists of 4 octagonal prisms, 8 square prisms and 32 vertices.

The convex hull of two orthogonal 4-8 duoprisms is the small disprismatotesseractihexadecachoron.

This polychoron can be alternated into a 2-4 duoantiprism, although it cannot be made uniform. The octagons can also be alternated into long rectangles to create a bialternatosnub 2-4 duoprism, which is also nonuniform.

Vertex coordinates
The vertices of a 4-8 duoprism of edge length 1, centered at the origin, are given by:
 * (±1/2, ±1/2, ±1/2, ±(1+$\sqrt{2}$)/2)
 * (±1/2, ±1/2, ±(1+$\sqrt{2}$)/2, ±1/2)