The faces of this polyhedron are twelve regular pentagons, thirty golden rectangles, and twenty equilateral triangles. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

This particular faceting is made of six square faces, and eight {6/2} hexagons.

Here it is again, in “rainbow color mode”:

I made these models using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

I made this faceted truncated octahedron using Stella 4d, which you can try right here. It has twenty faces: six large squares, six small squares, and eight {6/2} hexagons.