Tag: cube

This Cube-Octahedron 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 vertex on the cube corresponds to a face on the octahedron and conversely,
2. each face on the cube corresponds to a vertex on the octahedron.

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

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.