Discovering Group Theory, Day 1


  • What is symmetry?
  • How do we quantify it?
  • Symmetries of polygons.

On Day 1, we looked at examples of polygons and tried to rank them based on their symmetry. First we had to come up with a sensible criteria for something to be symmetric, which we agreed had to do with the number and kind of operations which leave the polygons looking the same. Then as a class we used those criteria to rank the polygons based on the number of such possible transformations, which we found to be rotations and flips.

Materials: Construction paper and some magnets.