Duality Exploration

Objective: Practice making dual tessellations. Look for duality in Escher's work.

1. Describe the dual platonic solids that appear in Escher's:
   • Crystal (Magic of M.C. Escher #170)
   • Double Planetoid (Magic of M.C. Escher # 153)
   • Four Regular Solids (Stereometric Figure) (Magic of M.C. Escher #161)
2. The regular tessellation of the plane by squares is self-dual. Explain.
3. Draw the dual tessellation right on top of the tessellations shown:

   	Note that this one is a tessellation of a sphere.

Handin: A sheet with answers to all questions.