GEK1518 Mathematics in Art and Architecture, 2003/04 II, Tutorial 3

  1. Complete the table for the Platonic and Archimedean solids.

    Polyhedron Faces Edges Vertices Shape of face Faces at vertex
    Tetrahedron
    Cube
    Octahedron
    Dodecahedron
    Icosahedron
    Truncated tetrahedron
    Truncated cube
    Truncated octahedron
    Truncated dodecahedron
    Truncated icosahedron
    Cuboctahedron
    Rhombicuboctahedron
    Great rhombicuboctahedron
    Icosidodecahedron
    Rhombicosidodecahedron
    Great rhombicosidodecahedron
    Snub cube
    Snub dodecahedron
  2. We have talked about the snub cube and the snub dodecahedron. What would a snub octahedron, snub icosahedron or snub tetrahedron look like?

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