The image on the hexagons is the same that appears in the previous post here, and was created with Geometer’s Sketchpad and MS-Paint. Projecting those images onto the larger faces of this polyhedron, and then creating this rotating .gif file, was accomplished with the use of Stella 4d, polyhedron-manipulating software you can try and/or buy at http://www.software3d.com/stella.php.