Putting Things Together

We've now seen the ingredients of the classification result which leads to essentially only 7 possible symmetry groups. Think a little about composition of the ingredients we've seen here. For example composing reflections along perpendicular mirrors gives not a reflection but ...?

Experiment some with kali and see if you can identify which of these symmetries are showing up. Try some of the parts (e.g. exercises) at

http://www.geom.umn.edu/ lori/kali/.