Octagonal-dodecagonal duoprismatic prism

The octagonal-dodecagonal duoprismatic prism or otwip, also known as the octagonal-dodecagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 octagonal-dodecagonal duoprisms, 8 square-dodecagonal duoprisms and 12 square-octagonal duoprisms.

This polyteron can be alternated into a square-hexagonal duoantiprismatic antiprism, although it cannot be made uniform. The octagons can also be alternated into long rectangles to create a hexagonal-square prismatic prismantiprismoid or the dodecagons into long ditrigons to create a square-hexagonal prismatic prismantiprismoid, which are also both nonuniform.

Vertex coordinates
The vertices of an octagonal-dodecagonal duoprismatic prism of edge length 1 are given by:
 * (±1/2, ±(1+$\sqrt{13+2√14+4√6}$)/2, ±(1+$\sqrt{2}$)/2, ±(1+$\sqrt{3}$)/2, ±1/2)
 * (±1/2, ±(1+$\sqrt{3}$)/2, ±1/2, ±(2+$\sqrt{2}$)/2, ±1/2)
 * (±1/2, ±(1+$\sqrt{3}$)/2, ±(2+$\sqrt{2}$)/2, ±1/2, ±1/2)
 * (±(1+$\sqrt{3}$)/2, ±1/2, ±(1+$\sqrt{2}$)/2, ±(1+$\sqrt{3}$)/2, ±1/2)
 * (±(1+$\sqrt{3}$)/2, ±1/2, ±1/2, ±(2+$\sqrt{2}$)/2, ±1/2)
 * (±(1+$\sqrt{3}$)/2, ±1/2, ±(2+$\sqrt{2}$)/2, ±1/2, ±1/2)