I mean, I don't think Tesla was some kind of super-wizard or anything; extremely intelligent and precient on certain things, lacking in other areas (it's interesting to compare and contrast Tesla and Edison, for instance - but that's OT).

But how often have we heard of, or read about, people able to come up with solutions to, say, complex mathematical problems, seemingly in their head - where they claim to "see" the patterns or formulae or whatever - and it just "comes together" for them correctly?

A kind of "synesthesia" for mathematics, you might call it?

So would it be any less possible that someone could "see" higher-order dimensional visualization and understand them, without need intermediary constructs or simulations?

Also - at least according to his closest biographer (so some bias there, I grant) - Tesla could supposedly "see" how something was supposed to be constructed; it's dimensions, it's workings, it's weight, etc - exactly. It was described as if he could visualize it existing in front of him, before it actually existed, and see everything about it. He could then build it - without needing engineering drawings or such.

Not sure where the truth lies with that, but it was fascinating to read about, if true.