Hexagonal-dodecagonal duoprism

The hexagonal-dodecagonal duoprism or hitwadip, also known as the 6-12 duoprism, is a uniform duoprism that consists of 6 dodecagonal prisms, 12 hexagonal prisms and 72 vertices.

The convex hull of two orthogonal hexagonal-dodecagonal duoprisms is either the hexagonal duoexpandoprism or the hexagonal duotruncatoprism.

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

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