Graphical representation of connections between users

Recently, I've been looking for a way to graphically show connections between users in social network. The basic idea is to show it in 3d, in the simplest possible manner.

I tried to code this, but unfortunately I didn't knew any good-enough algorithm for counting the scene.

Other social networks tried to visualize connections. For example this graph was created at 2003 Club Nexus at Stanford University.




Few days ago I found very interesting application, RTgraph3d is a tool from Philippe Biondi, the author of very successful applications like Scapy.

What I found the most surprising, is that the results sometimes show something interesting. For example this image is showing someone's friends, with connections between them. From this image you can easily recognize three groups of friends.


This is the example of the most common view, just a mess of connections between users.


This is yet another try. It shows two levels of links, but without connections between users at the same level.


RTGraph3D seems to be a good tool for such graphs. I have a tool, I have data, but I don't have an idea what other interesting things could be shown.