7.1 Part 2, Due March 7

Difficult: One thing that I thought was difficult about this section was the dihedral groups. I felt like I understood them, and I understood why they were groups since you can think about the group as a composition of functions. However, the thing I thought that was the most difficult part was trying to figure out the symmetries of the figures. Especially with the equilateral triangle. If I was asked to find the symmetries of a dihedral group of degree n, I wouldn't know how many symmetries there are supposed to be. Is there some way to know how many symmetries there should be in a dihedral group of degree n?

Connections: I like that groups seem to be really similar to rings, but even more simple. I also like that we can look at familiar rings and notice whether or not they can be groups. It helps me get more used to groups since we are looking at rings and other things that we have already considered in this course. At the end of the section, they talked about different groups that can be formed from things that we already have worked with. I like that groups are pretty simple and easy to work with, just like rings again.