Dodecahedron and Icosahedron

When we want to create a strip plan for the icosahedron we can make use of the fact that the dodecahedron is the dual of the icosahedron.

On the edges of the dodecahedron we can construct a Hamilton path, a path over the edges that visits each vertex exactly once. And the Hamilton path can now be used to create a strip plan for the icosahedron.