Tetradiminished rectified octaexon

The tetradiminished rectified octaexon or tedroc is a convex scaliform polyexon. It consists of 4 hexateric prisms and 8 hexatera atop tridiminished rectified hexatera. Two hexateric prisms and 6 hexatera atop tridiminished rectified hexatera join at each vertex. As the name suggests, it is formed by removing 4 vertices (corresponding to a scaled tetrahedron) from a rectified octaexon.

It is also a convex segmentoexon, and happens to be the vertex figure of the octeractidiminished demiocteract.

Vertex coordinates
The vertices of a tetradiminished rectified octaexon can be given as all even sign changes of the following:
 * $$\left(0,0,0,0,\frac{1}{2},\frac{1}{2},\frac{1}{2}\right)$$
 * $$\left(0,0,\frac{1}{2},\frac{1}{2},\frac{1}{2},0,0\right)$$
 * $$\left(0,\frac{1}{2},0,\frac{1}{2},0,\frac{1}{2},0\right)$$
 * $$\left(0,\frac{1}{2},\frac{1}{2},0,0,0,\frac{1}{2}\right)$$
 * $$\left(\frac{1}{2},0,0,\frac{1}{2},0,0,\frac{1}{2}\right)$$
 * $$\left(\frac{1}{2},0,\frac{1}{2},0,0,\frac{1}{2},0\right)$$