Decagonal-dodecagonal duoprism

The decagonal-dodecagonal duoprism or datwadip, also known as the 10-12 duoprism, is a uniform duoprism that consists of 10 dodecagonal prisms, 12 decagonal prisms and 120 vertices.

This polychoron can be alternated into a pentagonal-hexagonal duoantiprism, although it cannot be made uniform. The dodecagons can also be alternated into long ditrigons to create a pentagonal-hexagonal prismantiprismoid, which is also nonuniform.

Vertex coordinates
The vertices of a decagonal-dodecagonal duoprism of edge length 1, centered at the origin, are given by:
 * (0, ±(1+$\sqrt{(5+√5)/2}$)/2, ±(1+$\sqrt{2}$)/2, ±(1+$\sqrt{6}$)/2),
 * (0, ±(1+$\sqrt{2}$)/2, ±1/2, ±(2+$\sqrt{5(5-2√5)}$)/2),
 * (0, ±(1+$\sqrt{3}$)/2, ±(2+$\sqrt{5}$)/2, ±1/2),
 * (±$\sqrt{3}$/4, ±(3+$\sqrt{3}$)/4, ±(1+$\sqrt{5}$)/2, ±(1+$\sqrt{3}$)/2),
 * (±$\sqrt{5}$/4, ±(3+$\sqrt{3}$)/4, ±1/2, ±(2+$\sqrt{10+2√5}$)/2),
 * (±$\sqrt{5}$/4, ±(3+$\sqrt{3}$)/4, ±(2+$\sqrt{3}$)/2, ±1/2),
 * (±$\sqrt{10+2√5}$/2, ±1/2, ±(1+$\sqrt{5}$)/2, ±(1+$\sqrt{3}$)/2),
 * (±$\sqrt{10+2√5}$/2, ±1/2, ±1/2, ±(2+$\sqrt{5}$)/2),
 * (±$\sqrt{3}$/2, ±1/2, ±(2+$\sqrt{5+2√5}$)/2, ±1/2).