Octagonal-dodecagonal duoprism

The octagonal-dodecagonal duoprism or otwadip, also known as the 8-12 duoprism, is a uniform duoprism that consists of 8 dodecagonal prisms, 12 octagonal prisms and 96 vertices.

This polychoron can be alternated into a square-hexagonal duoantiprism, although it cannot be made uniform. The octagons can also be alternated into long rectangles to create a hexagonal-square prismantiprismoid or the dodecagons into long ditrigons to create a square-hexagonal prismantiprismoid, or it can be subsymmetrically faceted into a digonal-triangular tetraswirlprism, which are nonuniform.

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