Petrie Expanded Polyhedra

Each regular polyhedron contains a set of Petrie polygons.  Such polyhedra can be expanded by separation into two parts along a Petrie polygon and rejoining the parts by the insertion of rhombi.  The process can then be repeated for the other Petrie polygons of the original polyhedron. The following pages show the results of applying this process to a variety of polyhedra.

Petrie expanded Platonic, Kepler-Poinsot and Semi-regular polyhedra.

Petrie expanded truncated polyhedra.

Skew polygon expanded polyhedra.

Many of the polyhedra discussed on the above pages are also present on George Hart's 'Zonish Polyhedra' page, which predates these pages by some 10 years.