GEK1518 Mathematics in Art and Architecture, 2003/04 II, Tutorial 2

1. Complete the table for the Platonic solids.
   
   

   Polyhedron	Faces	Edges	Vertices	Shape of face	Faces at vertex
   Tetrahedron
   Cube
   Octahedron
   Dodecahedron
   Icosahedron

2. How many colors do you need to color the different Platonic solids? Two faces that have a common edge are not allowed to have the same color.