The apparent incongruity of our 3 dimensional space and the theoretically predicted 9 dimensional space of super-string theory has fascinated me for years.
The proposed idea is that the other 6 dimensions are still wrapped up and very small, so only the 3 we currently live in are experienced. In many ways, this parallels our built environment where we only perceive the usual 3 dimensions, however every space is filled with all sorts of other dimensional data, from the mundane aspects like program, circulation, and temperature to the more ephemeral aspects like the space of a conversation.
The real trick is visualizing all these additional dimensions in a way that is not purely reductive. I have no answers, but it is a problem I will be trying to tackle for years to come. Suggestions are certainly welcome.
You can also read more at:
http://www.physorg.com/news/2011-12-theory-simulate-big-bang-supercomputer.html
Physics, Super_String_Theory