If a zonish icosahedron is created with zones based on the icosahedron’s vertices, here is the result.
If the same thing is done with edges, this is the result.
Another option is faces-only.
The next zonish icosahedron has had zones added based on the icosahedron’s faces and edges, both.
Here’s the one for vertices and edges.
Here’s the one for faces and vertices.
Finally, the last of this set of seven has had zones added based on all three: faces, vertices, and edges.
All seven of these were made with Stella 4d, which is available at http://www.software3d.com/Stella.php.