Turn Two Cubes into a Rhombic Dodecahedron II

rhombic dodecahedron from two cubes

This model illustrates an interesting connection between a cube and a rhombic dodecahedron (a twelve-sided polygon that has rhombi for faces). You can essentially turn a cube inside out and drape it over another cube to form a rhombic dodecahedron.


Steps

  1. Cut out six copies of the small pattern pieces.
  2. Fold and glue them to create six square pyramids.
  3. 0918-s03Tape the square bases of the pyramids together so they form a shape of a cross. Leave a gap of 1 - 2mm (1/16 of an inch) between the pyramids depending on the thickness of the paper you are using. The gap helps the pyramids fold up to form a cube.
  4. Cut out one copy of the net of a cube, fold it up, and glue it.
  5. Turn the cube made of pyramids "inside out" and drape it over the cube so each pyramid base rests on the face of the solid cube. The resulting solid is a rhombic dodecahedron.

Notes

References

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