Tetrahedral duotegum

The tetrahedral duotegum or tetdit is a noble duotegum that consists of 16 triangular disphenoids and 8 vertices. 12 facets join at each vertex. It is also the 8-2-3 step prism.

The ratio between the longest and shortest edges is 1:$$\frac{2\sqrt3}{3}$$ ≈ 1:1.15470.

Vertex coordinates
The vertices of a tetrahedral duotegum based on tetrahedra of edge length 1 are given by all even sign changes of the first three coordinates of: Plus al even sign changes of the last three coordinates of:
 * $$\left(\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,0,\,0,\,0\right),$$
 * $$\left(0,\,0,\,0,\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4}\right).$$