Some examples of symmetrical and asymmetrical design

Here's a nice, concise definition of asymmetrical design with examples: http://desktoppub.about.com/od/designprinciples/l/aa_balance2.htm

Here's an actual school project about asymmetrical design with several examples: http://daphne.palomar.edu/design/asymm.html

There are some pretty neat symmetrical and asymmetrical design examples at this link. I agree with the author that while symmetrical designs are easier, asymmetrical designs can be far more interesting.

http://www.allgraphicdesign.com/graphicsblog/2008/03/symmetrical-vs-asymmetrical-design-that-is-the-question/

Also check out http://www.artlandia.com/ where there are loads of examples, books for further reading, and links. Although this site is a specialized program for pattern designers, you can look through the examples they post using their design program. Both symmetrical and asymmetrical patterns are represented. There's an interesting segment on camouflage patterns also.