The image on the squares is the same that appears two posts ago here, its color-inversion appears on the hexagons, and these were 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.