No one can visualize higher dimensions. It's physically impossible. We can see higher dimensional objects as a representation in the 3rd dimension, but we can't see a higher dimension object in its actual higher dimensional state unless we are in that dimension.
Michio Kaku's book Hyperspace does a good job of explaining this using the "Flatlander" 2-d example and what would happen to them if we as a 3-d people interacted with them.
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