# A Polyhedral Journey, Beginning with Face-Based Zonohedrification of an Icosahedron

A Polyhedral Journey, Beginning with Zonohedrification

To begin this, I took an icosahedron, and made a zonish polyhedron with it, with the new faces based on the zones of the existing faces. Here’s the result.

Next, I started stellating the polyhedron above. At the sixth stellation, I found this. It’s a true zonohedron, and the first polyhedron shown here is merely “zonish,” because one has triangles, and the other does not. (One of the…