Hexagonal duotegum

The hexagonal duotegum or hiddit, also known as the hexagonal-hexagonal duotegum, the 6 duotegum, or the 6-6 duotegum, is a noble duotegum that consists of 36 tetragonal disphenoids and 12 vertices, with 12 cells joining at each vertex. It is also the 12-5 step prism. 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.

Vertex coordinates
The vertices of a hexagonal duotegum based on two hexagons of edge length 1, centered at the origin, are given by:


 * $$(±1,\,0,\,0,\,0\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt3}{2},\,0,\,0\right),$$
 * $$\left(0,\,0,\,±1,\,0\right),$$
 * $$\left(0,\,0,\,±\frac12,\,±\frac{\sqrt3}{2}\right).$$