I made this polyhedron, which has 170 faces, using Stella 4d: Polyhedron Navigator. You may try this program, for free, at http://www.software3d.com/Stella.php.
A Zonohedron Based on the Faces, Edges, and Vertices of a Truncated Tetrahedron, as Well as Its Two- and Three-Fold Symmetry Axes, and its XYZ Axes
RobertLovesPi.net 