Hexagonal duoprism

The hexagonal duoprism or hiddip, also known as the hexagonal-hexagonal duoprism, the 6 duoprism or the 6-6 duoprism, is a noble uniform duoprism that consists of 12 hexagonal prisms and 36 vertices. It is also the 12-5 gyrochoron. Together with its dual, it is the third in an infinite family of triangular dihedral swirlchora, the second in an infinite family of square dihedral swirlchora and the first in an infinite family of hexagonal dihedral swirlchora.

This polychoron can be alternated into a triangular duoantiprism, although it cannot be made uniform.

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