The 48 faces of this faceted icosidodecahedron are:

• 6 green regular decagons (difficult to see, because they pass through the figure’s center)
• 30 golden rectangles, shown in yellow, and each interpenetrating other faces
• 12 blue star pentagons

Software called Stella 4d was used to make this, and it is available (with a free trial download available) at this website.