Suggestions:

• Make sure that there is math as well as pretty pictures in your project.
• Discuss symmetry in general, but also focus your project and pick one main idea or example.

Resources:

• The following books all have a chapter on symmetry or tilings and are on reserve in the library:
  • Excursions in Modern Mathematics by Tannenbaum and Arnold
  • For All Practical Purposes by COMAP
  • Mathematics Beyond the Numbers by Gilbert and Hatcher
• Symmetry in the plane
  • Four types of symmetry in the plane
  • Four basic symmetries
  • More on symmetry
  • Rigid motions
  • Combining rigid motions
• Tesselations
  • What is a tesselation?
  • Totally Tesselated
  • Regular and semiregular tesselations
• Symmetry and tesselation links
• Symmetric patterns at the Alhambra
• Symmetry and Pattern: the art of Oriental carpets
• Aperiodic tilings
• Penrose Tiles
• Penrose Tiles(Geometry Junkyard)
• Tiling Plane and Fancy

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Last modified: 4/10/06