Triangular duotegum

The triangular duotegum, also known as the triangular-triangular duotegum, the 3 duotegum, or the 3-3 duotegum, is a noble duotegum that consists of 9 tetragonal disphenoids and 6 vertices. It is the simplest possible duotegum and is also the 6-2 step prism. The triangular duotegum, along with its dual, is the first in a series of triangular dihedral swirlchora.

It shares the same vertex and edge configuration with the 5-dimensional hexateron.

Vertex coordinates
The vertices of a triangular duotegum, derived from the dual of a triangular duoprism of edge length 1, centered at the origin, are given by:
 * (0, 0, 0, $\sqrt{2}$/2)
 * (0, $\sqrt{2}$/2, 0, 0)
 * (±$\sqrt{6}$/4, -$\sqrt{2}$/4, 0, 0)
 * (0, 0, ±$\sqrt{6}$/4, -$\sqrt{2}$/4)