At the eTHEMES list of Internet Resources for Teaching and Sharing, go to GEOMETRY: SYMMETRY. 
You'll find a wide variety of lessons, animations, and interactive explorations. 

For example, at The Symmetry Around the World Project, you can explore symmetry with faces, masks, rugs, advertising, religious symbols, the Taj Mahal (above),  a butterfly animation, and a virtual kaleidoscope (interactive).

Have fun exploring symmetry with a 3-D Symmetry Interactive  Demonstration, using a cube, octahedron, sphenoid, and a tetrahedron.

Challenge:  See if you can completely cover the surface with the Doggy Mosaic puzzle at The Puzzle Playground. http://www.puzzles.com/PuzzlePlayground/DoggyMosaic/DoggyMosaic.htm

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