I read the title and was like, "what??? you can't do that!" - much to my long-time dismay as my hobby for many years was folding icosahedra out of Sonobe units.

I read the title and was like, "what??? you can't do that!" - much to my long-time dismay as my hobby for many years was folding icosahedra out of Sonobe units. [0] I spent much of middle school making these out of post-it notes during class and then assembling them at home, and I explored dozens of different ways to color the vertices or faces. There weren't really any colorings that were nice both mathematically and aesthetically. [0] https://en.wikipedia.org/wiki/Sonobe https://en.wikipedia.org/wiki/Sonobe