April 6 Lecture Notes (The 17 wallpaper symmetries) Old Business: - Tuesday evening, 7pm - Jim's "How to solve it" is still coming - projects? - questions / comments ? New Business: - Describe the picture notation: n-rotation, reflection, translation, glide-ref. - Explain "fundamental cell" - How are these groups? * Show how to find group multiplication table. * Generators of the group - Find symmetry of at least on of "star" pictures - Think about Escher pictures in this context. - Rotation symmetries are 2,3,4,6-fold. Why not any other? - Why 17 !?