I think the question is can humans even correctly perceive 10 dimensions? Watching this demo and it seems after the 4th dimension all that is being done is attempting to explain addition dimensions is trying to apply crude 3 dimension examples. We can't even being to understand dimensions above the ones we live in and can't perceive without using words like "stacked" which is really just applying a 3D concept to all dimension above 3. Or we just break new dimension up into a new 'alternate' universe that really is just a copy of our own 4 dimension universe.
I understand we can perceive the concept of 10 dimensions (which this demo explains) but I really do not believe we have the ability to understand the nature of a dimension above the 4th.
I just wanted to add, if this type of stuff is of interest to you, you might want to check out the 3 hour special Nova ran on string theory. Very interesting stuff:
http://www.pbs.org/wgbh/nova/elegant/program.html
Jam it back in, in the dark.