Platonic Solids Exploration

From EscherMath

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.
5. Find mathematical patterns in the table.