This faces of this polyhedron include 12 regular pentagons, and twenty 6/2-gons. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
A Faceted Truncated Icosahedron With 32 Faces
RobertLovesPi.net
Polyhedra, tessellations, and more.
RobertLovesPi.net 
a delightful creation
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