Re: [math-fun] Zonohedral surfaces

I like this. Here are interactive images of a rhombic dodecahedron and a rhombic triacontahedron: https://www.karzes.com/polyhedra/polyhedron.html?ph=V3.4.3.4 https://www.karzes.com/polyhedra/polyhedron.html?ph=V3.5.3.5 If you have a mouse (rather than a touchscreen), you can click-and-drag to manually rotate them. Tom Allan Wechsler writes:

If we insist on Stewart's "aplanar" property (faces that share an edge may not be coplanar) then I think it can still be done. Take a rhombic dodecahedron, or a rhombic triacontahedron, and select any antipodal pair of parallel rhombic faces. Drill a tunnel from one of the pair to the other. The four faces of the tunnel will be rectangles.