The Nexus Facebook social network visualizer is pretty cool, and the best implemented one that I have seen. It does what you would expect it to: displays the relationships between you and your facebook friends. The output graph is really good looking and useful. Mine is shown below.

There are a few different clusters I notice here: one of high school friends, one of friends from a student group, and one from people I know through blogging. The main cluster is people I see fairly often in every day life.

While looking at these graphs is really interesting and can reveal some connections, I would like to see makers of applications like this take it one step further and add the possibility of analysis.
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