Los Angeles Math Circle

10/2 -- High School II: Symmetry and Wallpaper Patterns with Dr. Mike Hall

Perhaps when you were bored in a math class you started looking at the patterns on the wallpaper around you.

Many types of wallpaper use a simple repeating pattern, but occasionally you might notice that the wallpaper has a more subtle kind of symmetry.

How many essentially different types of symmetry are there? As we will find out, the answer is seventeen.