3-colored Icosahedron out of 90 Sonobe units I'm new to Modular-Origami. Currently I'm trying to build a Icosahedron out of 90 Sonobe units. I want to make it three-colored. But I'm having trouble building it so that there are no 2 colors next to each other. I know that it's possible for 6, 12 and 30 units.

But is it even possible to make a 3-colored Icosahedron out of 90 Sonobe units? And why if / if not? If it should be possible, is there any trick of building the Icosahedron? Is Algebra the solution or Graph theory?

Greetings
I think I can show you an example of 3-colored Dodecahedron. Sorry, not an Icosahedron. I've never seen Icosahedron of 90 Sonobe units. The white circles show the only axis of symmetry.
I think I can show you an example of 3-colored Dodecahedron. Sorry, not an Icosahedron. I've never seen Icosahedron of 90 Sonobe units. The white circles show the only axis of symmetry.