Ever read The Boy Who Reversed Himself or whatever it was called? Really interesting ideas about dimensions in there. In that book, there were 1D and 2D creatures in addition to the normal 3D ones, as well as inhabitants of higher dimensions. Each dimension was basically a "slice" of the dimension above it, so if you went into a higher dimension and turned around and then went back to your own dimension, you could be reversed (your left/right were switched, or sometimes you'd have your innards on the outside and your outards on the in). One time the characters reversed some ketchup, and it turned out that reversed ketchup could get you high. And if looking at a 4D being, you could only see one 3D slice of it at a time, so it could change from moment to moment.
So this gave me an interesting idea for an evil maze, that seems to change whenever you move, because it's 4D and you can't see the whole picture at any given time. I guess the only way you could represent it is having 4 mazes (6 if you're capable of going up/down in the game) in the same "space" and which one you see depends on which way you turn.
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