We can recreate a 3-dimensional picture on a 2-dimensional surface. Why can’t we visualize a 4-dimensional world in a 3-dimensional area?
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We’re able to visualise 3D from a 2D picture because that’s literally what we were trained to do from birth: you have one or two 2D pictures from your eyes (depending on whether you closed a eye or not) and your brain is translating that into a 3D object. In particular, our brain uses the shadows and the lighting to help get a better understanding in complex situations.
And in fact, we don’t fully see 3D objects. When you look at a 2D objects, you see the borders and the inside of the objects. When you look at a 3D object, we only see it’s surface and we don’t naturally see inside non-transparent 3D objects.
Both those facts means that representing a 4D object in 3D is very difficult.
(1) We’re not trained to recognize 4D objects. And even less used to see how lighting and shadows work on them.
(2) Since our eyes are still 2D, that means we would be looking at the 2D image of a 3D object representing a 4D hyperobject. Complexity adds up.
(3) Additionally, since we can’t see through 3D objects unless they’re transparent, we would be missing a lot of information that would be hidden inside this 3D representation. You can circumvent this last issue with transparent objects but it still adds to the complexity.
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