Tridiminished rectified hexateron

The tridiminished rectified hexateron or tedrix, also known as the square dihedral triorthowedge, is a convex scaliform polyteron formed from three mutually orthogonal squares. It consists of 3 tetrahedral prisms and 6 bidiminished rectified pentachora, with 2 tetrahedral prisms and 4 bidiminished rectified pentachora joining at each vertex.

This polyteron also occurs as a tridiminishing of the rectified hexateron, formed from removing 3 vertices, thus removing 3 tetrahedral prismatic pyramids. The 3 removed vertices form an equilateral triangle of edge length $$\sqrt2$$.

Vertex coordinates
The vertices of a tridiminished rectified hexateron of edge length 1 are given by:
 * $$\left(0,\,±\frac12,\,±\frac12,\,0,\,\frac{\sqrt6}{6}\right),$$
 * $$\left(±\frac12,\,0,\,±\frac12,\,\frac{\sqrt2}{4},\,-\frac{\sqrt6}{12}\right),$$
 * $$\left(±\frac12,\,±\frac12,\,0,\,-\frac{\sqrt2}{4},\,-\frac{\sqrt6}{12}\right).$$