-
Discovering Group Theory, Day 2
Topics:
- Rotational symmetry
- Identity
- Inverse
- Formal definition of a group
- Group product
On Day 2, we considered only rotations of various polygons around their geometric centers. After a systematic hands-on investigation and cataloguing of rotations which leave a polygon unchanged, we identified the identity transformations and the inverse of each rotation. The class concluded we the formal definition of a group.