Hexagonal-octagonal duoprism

The hexagonal-octagonal duoprism or hodip, also known as the 6-8 duoprism, is a uniform duoprism that consists of 6 octagonal prisms, 8 hexagonal prisms and 48 vertices.

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

Vertex coordinates
The vertices of a hexagonal-octagonal duoprism of edge length 1, centered at the origin, are given by:
 * (0, ±1, ±1/2, ±(1+$\sqrt{3}$)/2),
 * (0, ±1, ±(1+$\sqrt{2+√2}$)/2, ±1/2),
 * (±$\sqrt{2}$/2, ±1/2, ±1/2, ±(1+$\sqrt{(4+√2)/2}$)/2),
 * (±$\sqrt{3}$/2, ±1/2, ±(1+$\sqrt{6}$)/2, ±1/2).