Bonnie Stewart's G3 polyhedron

Stewart's G3 polyhedron has faces composed of regular polygons all with the same edge length. It has 3 pentagonal faces, 3 square faces, and 7 triangular faces. Stewart found 8 copies of G3 lurking inside a larger more complex polyhedron. It is of interest because it shares it's pentagonal faces with a dodecahedron and it contains vertices where single triangle, square, and pentagon meet. Here is a G3 polyhedron and two dodecahedrons; one less a G3 and one less two G3's. OpenSCAD code is inc