Jacob,
First of all, I want to say, "Damn you!". I was just about ready to turn in for the night when I read your post. Now you got me thinking and I'm going to be up later than I wanted. :)
My suggestion: If you want 6 dimensions, you should have 7 tables. One each that is a simple list of the possible attributes along that dimension, e.g. Make Dimension: Ford, Chevy, Chrysler, Toyota, etc. Color Dimension: Blue, Red, Silver, etc. Then your seventh table will simply have 6 columns with tuples for each combination that exists -- the boolean ones. <Ford, Red, 1998, etc..>.
Where it gets interesting is when you want to display the data in tables. Especially if that is supposed to be interactive.
I would suggest you look at a browser-based approach. Probably PHP, but I know very little about that. You would want to construct a program that would loop over the x,y that you chose and construct a table with X's in the cells that would contain boolean ones. The X's would actually be hyperlinks to start the process over again with different query criteria.
I can vaguely imagine how you could do something like this, but I don't know the actual tools well enough to do it myself. You could also program something like this from scratch, but I believe a PHP/browser approach would give you faster results easier. In any case, the display/selection bit is probably beyond what you can do with off-the-shelf database form/table tools. Although you could easily set up the forms to input the data I suppose. That could save you some work.
Hope this helps. Interesting problem -- check back here, I would like to hear what you come up with.
Rod
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