Friday, March 12, 2010

Wallpaper groups


Pizza Seminar

Speaker: Zack Wolske (Western)

Title: Wallpaper groups

Time: 17:30 PM, Tuesday March 2; Room: MC 107

A planar tiling is a repeating symmetric pattern in the plane. Because of their common everyday appearances such patterns are called "wallpaper groups." We follow Conway's orbifold notation, which describes the 17 wallpaper groups as certain topological spaces: quotients of the plane by some finite group. Completeness is given by computing the Euler characteristic of such spaces. No knowledge of groups, topology, orbifolds, or how to hang wallpaper required.



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