Take advantage of the symmetries of the polyhedra to see them through the mirrors.

  • Lay the pieces horizontally, held on both sides.

  • Start with the pieces that are a single bar. 

  • All parts have a certain position in which they fit with the mirrors. Look for it

  • What polyhedron do you see? Find it on the poster. 

  • Remove the pieces before putting on another one

What angles form the mirrors?

The three tables that make up this module have the 4 mirrors arranged so that the angles between them (dihedral angles) produce that the objects are visualized 3, 4 or 5 times. 

  • The first kaleidoscope has the 4 angles between the 120º mirrors. Since each angle triples the objects we call it 3-3-3-3. With this arrangement a simple elongated object placed inside is visualized as a regular tetrahedron.
  • The second kaleidoscope is 120º, 90º, 120º and 90º. We call it 3-4-3-4. It allows you to visualize the regular cube and octahedron.
  • In the third kaleidoscope the angles are 120º, 72º, 120º and 72º We call it 3-5-3-5. It allows you to visualize the regular icosahedron and dodecahedron.

In addition, in each kaleidoscope, a set of special pieces allows you to obtain the different truncations. You get to see more than 25 different polyhedra.


The main polyhedra that can be visualized with kaleidoscopes 3-3-3-3, 3-4-3-4 and 3-5-3-5