Dodecagonal duoprism

The dodecagonal duoprism or twaddip, also known as the dodecagonal-dodecagonal duoprism, the 12 duoprism or the 12-12 duoprism, is a noble uniform duoprism that consists of 24 dodecagonal prisms and 144 vertices. It is also the 24-11 gyrochoron. Together with its dual, it is the first in an infinite family of dodecagonal dihedral swirlchora.

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

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