Ditrigonal Dodecadodecahedron

Here a ditrigonal dodecadodecahedron also called a triambic dodecadodecahedron.
Hart's image - http://www.georgehart.com/virtual-polyhedra/vrml/triambic_dodecadodecahedron.wrl - is not easily printed as it contains pentagons where portions of both sides face outwards. I recently constructed a version using only triangles and discovered that the stl file contained 13 pieces (shells). One piece was a great stellated dodecahedron and 12 pieces were simple 3D pentagrams. This means that one ca