Techniques for visualising $n$ dimension spaces Can you guys point me to the types of things I should read about (I'm a maths lay person really) if I want to learn about the current thinking how $n$ dimensional spaces can be visualised and thus navigated?
Sorry this question seems a bit vague, but I'm trying think of how I navigate through data in many dimensions and I feel that mathematicians would have solved these problems many many years ago.
Edit:
Thank you for the informed debate: Let me clarify what I'm after. I'm looking at model for navigating data using a computer screen (so 2 dimensions). Add a third dimension (think zoom in zoom out). Ok so what about $n$ dimensions, what techniques could help me navigate them while confining my self o the 3d world of the computer model. Reading the link below to mathsoverflow was interesting and I now have some interesting ideas coming out.


I'm looking at model for navigating data using a computer screen (so 2 dimensions). Add a third dimension (think zoom in zoom out). Ok so what about n  dimensions, what techniques could help me navigate them while confining my self o the 3d world of the computer model. 

There is a very large body of published work (both theoretical and applied) on multidimensional data visualization (also called multivariate or $n$-dimensional).  Try a web search with these terms! Some example titles:


*

*Visualization of Multi-variate Scientific Data (Bürger & Hauser)

*A Taxonomy of Glyph Placement Strategies for Multidimensional Data Visualization (Ward)

*Handbook of Data Visualization (Chen, Härdle & Unwin) 


and so on.  Ward's paper (p. 10) offers some advice when viewing N-dimensional data with a 2-dimensional display, re selecting from the N(N − 1)/2 possible orthogonal views in the N-dimensional space (not including rotational variations).
