group theory

Group theory is a way of studying symmetry. Symmetry is like when things look the same when you turn them around. Group theory looks at when things have the same shape or pattern, no matter how they are turned. In group theory, we look at patterns and group them together. We look at how two of the same shapes interact with each other, and how they can be changed and mixed together in different ways. For example, a group of six shapes can be formed by rearranging them in different ways. We can look at the similarities and differences between the arrangements and the shapes, and this is what group theory does.