A Dodecahedron as a Cube with "Hats"
A dodecahedron shares eight of its vertices with a cube that can be nestled inside it. If you have a hard time picturing how a cube can fit inside a dodecahedron, make this model. You will create a cube and add a "hat" to each face to make a dodecahedron.
- Cut out six copies of the smaller pattern piece and one copy of the larger one.
- Fold and glue the pieces together to make six "hats" and one cube.
- Tape the hats together on the underside of the pieces as shown.
- Drape the hats over the cube to make a dodecahedron. I ran a marker over the edges of the hats to help show the resulting dodecahedron.
- The cube’s edges are a golden ratio times as long as the edges of the dodecahedron.