Dodecagonal duotegum

The dodecagonal duotegum or twaddit, also known as the dodecagonal-dodecagonal duotegum, the 12 duotegum, or the 12-12 duotegum, is a noble duotegum that consists of 144 tetragonal disphenoids and 24 vertices, with 24 cells joining at each vertex. . It is also the 24-11 step prism. Together with its dual, it is the first in an infinite family of dodecagonal dihedral swirlchora.

Vertex coordinates
The vertices of a dodecagonal duotegum based on 2 dodecagons of edge length 1, centered at the origin, are given by:


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