Symmetry shows up everywhere in nature! Flowers and starfish have rotational symmetry; people have bilateral symmetry (kinda). Cubes and icosahedra seem to have lots of symmetry, and spheres have even more. What other kinds of symmetry are there, and where can they be found?

Poof! You suddenly find you and your friends each wearing colored hats, trapped in a dungeon by a wizard. The only way you can get out, he says, is if you can guess the color of your hat correctly. Otherwise, you'll be stuck here, for all of eternity. Can you and your friends do it?

Those who are coming to this class and those who aren't.