Octahedron-Cube Duality

This Octahedron-Cube Duality Paper model demonstrates the dual relationship between the two platonic solids the cube and the regular octahedron. That is to say that:

1. each face on the cube corresponds to a vertex on the octahedron and conversely,
2. each vertex on the cube corresponds to a face on the octahedron.

In this example, the octahedron is larger than the cube so the cube is inside the octahedron.

Download the PDF of the patterns, and create your own papercraft paper model. Simply print out the patterns on 160g Plain White Paper (normal paper is 80g – so twice as thick). Then you can score the folds, cut out the patterns, and finish by folding and gluing them.

To learn more about the duality of the cube and regular octahedron see this Wikipedia page for the compound of a cube and octahedron.