If a student completes this course successfully he/she is expected to

- know different types of isometries of the Euclidean plane
- know the relationship between the group of isometries of the plane and reflections
- finite groups of isometries of the plane
- learn different types of isometries of the Euclidean spaces
- learn Frieze groups, wallpaper groups and recognize the symmetry groups of frieze patterns and wallpaper patterns
- learn tessellations (tilings) of the plane
- know different types of Platonic solids and their symmetry groups
- know root systems, Weyl groups