Discovering Group Theory, Day 7

On Day 7, we moved on to the symmetries of a square. Using the same methods as for the equilateral triangle, we got the structure of D₄, though we left some derivations for a homework assignment. We then made an educated guess about the structure of the symmetry group of a pentagon, D₅, and then generalized to the symmetries of an n-dimensional regular polygon, which led us to the formal definition of D_n.