The Rhombic Dodecahedron

Not all dodecahedra have pentagonal faces. The rhombic dodecahedron has twelve rhombi as faces. The lengths of the diagonals of the rhombi are in the ratio Sqrt[2]:1. It is dual to the cuboctahedron.

To build this model, note that two tabs sometimes share an edge at vertices of the net where three rhombi meet. Cut along these edges and glue these pairs of tabs first.

Next, glue the two tabs with the circles on them. This creates a tetravalent vertex; that is, a vertex where four faces meet. In a similar manner, continue creating tetravalent vertices and complete the model.

• How to build a model.
• Mark Newbold shows how a rhombic dodecahedron may be made from two cubes. (You have to scroll down the page to see it.)
• Eric Swab shows how a rhombic dodecahedron may be made from an octahedron and two tetrahedra.