Magnetic balls

are a ridiculously fun (and sadly expensive) desk toy. I’ve been challenging myself to make as many of the Archimedean and Platonic solids of unit side length as possible.

So far I have made 6/13 Archimedean solids* and 4/5 Platonic solids**. Can you make any of the ones that I haven’t figured out yet?

* the rhombicosidodecahedron, rhombicuboctahedron, truncated octahedron, cuboctahedron, truncated cuboctahedron, and truncated icosidodecahedron

** all but the dodecahedron