Hexagonal-octagonal duoprismatic prism

The hexagonal-octagonal duoprismatic prism or haop, also known as the hexagonal-octagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 hexagonal-octagonal duoprisms, 6 square-octagonal duoprisms and 8 square-hexagonal duoprisms.

This polyteron can be alternated into a triangular-square duoantiprismatic antiprism, although it cannot be made uniform. Half of the octagons can also be alternated into long rectangles to create a bialternatosnub triangular-square duoprismatic prism, which is also nonuniform.

Vertex coordinates
The vertices of a hexagonal-octagonal duoprismatic prism of edge length 1 are given by:
 * (0, ±1, ±1/2, ±(1+$\sqrt{9+2√2}$)/2, ±1/2)
 * (0, ±1, ±(1+$\sqrt{2}$)/2, ±1/2, ±1/2)
 * (±$\sqrt{2}$/2, ±1/2, ±1/2, ±(1+$\sqrt{3}$)/2, ±1/2)
 * (±$\sqrt{2}$/2, ±1/2, ±(1+$\sqrt{3}$)/2, ±1/2, ±1/2)