Platonic Solids Exploration

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Objective: Learn to identify the Platonic solids, and discover some of their properties.

  1. Look at Escher’s Reptiles (Magic of M.C. Escher #307). What platonic solid is the focal point of this picture?
  2. Look at Escher’s Crystal (Magic of M.C. Escher #170). It is built out of two intersecting platonic solids. Which two are they?
  3. Look at Dali’s The Last Supper. What platonic solid forms the window?
  4. Fill out the following table:
    Shape # of vertices # of edges # of faces
    Tetrahedron
    Cube
    Octahedron
    Dodecahedron
    Icosahedron
    Using paper models will be helpful. You may also find http://nlvm.usu.edu/en/nav/frames_asid_128_g_1_t_3.html?open=instructions helpful.
  5. Find mathematical patterns in the table.

Handin: A sheet with answers to all questions.