DEEP stuff here, presented in a cute way! I really like how they simplified the concept of dimensions past the third. I think I got it, considering how far out the actual subject matter is.
I got the impression that each dimension is a part of successively higher ones that we cannot truly comprehend, but can at least try to theorize in our terms. I like how infinity becomes inconsequential higher up and how different timelines and possibilities are all absorbed into the elite highest dimensions.
This highly reminds me of a lecture about infinity I once attended for fun (yes, for fun) in which one of the most memorable parts was shown in which:
"we may see four dots on this paper, but in a higher dimension, those four dots could be the feet of a cow", which was quite humorous and logical at the same time, cutting to a cheesy 3D pic of a cow in a thunderstorm.
The guy in the flash sounded like he was surpressing himself from laughing at several points

I couldn't fathom the "superstrings" mentioned at the end, that was just overkill.
Jam it back in, in the dark.