Rob Bryanton, for his new book, Imagining the Tenth Dimension offers up a quick Flash tutorial that takes the viewer from the first to the tenth (and final?) dimension, and the viewer’s brain from a functioning organ to complete mush: www.tenthdimension.com
…in the biggest picture possible, we could say that the 4th dimension is a line that joins the big bang to one of the possible endings to our universe.
Now entering the seventh dimension, we’re about to imagine a line that treats the sixth dimension as if it were a single point. To do that, we have to imagine all possible timelines which could’ve started from our big bang, joined to all the possible endings of our universe — a concept which we often refer to as infinity — and treat them all as a single point.
So for us, a point in the 7th dimension would be infinity — all possible timelines.”
I could understand 10 dimensions, but 11 would just be silly. Once you start tacking on extra dimensions to string theory, you start to get into the dangerous territory of “Meme-Theory”, in which the different ways of conceptualizing the known universe all start getting their own dang dimensions.