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