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.

Helmer Aslaksen
Department of Mathematics
National University of Singapore
helmer.aslaksen@gmail.com