Twelve of the faces of this polyhedron are star pentagons, and they are easy to spot. The other sixty faces are isosceles trapezoids, and they’re harder to find because parts of them are hidden inside in the solid. The image below shows where these trapezoids can be found.

I made this using Stella 4d: Polyhedron Navigator, a program you can try for free at http://www.software3d.com/Stella.php.