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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/**.

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*2002-08-23*