Octagonal-cubic duoprism

The octagonal-cubic duoprism or ocube is a convex uniform duoprism that consists of 8 tesseracts and 6 square-octagonal duoprisms.

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

Vertex coordinates
The vertices of an octagonal-cubic duoprism of edge length 1 are given by:
 * (±1/2, ±(1+$\sqrt{7+2√2}$)/2, ±1/2, ±1/2, ±1/2)
 * (±(1+$\sqrt{2}$)/2, ±1/2, ±1/2, ±1/2, ±1/2)