What would we see if, like Mr. Square, we were actually yanked out of our world into “a more spacious Space” with an extra dimension? No doubt we would be as dumbstruck by the vision of the hypersphere as Mr. Square was by that of the sphere. We would also be astonished to find, looking back upon our 3-D world, that all objects were transparent to our sight and visible from every perspective simultaneously. We could reach inside someone’s body and remove his appendix without breaking his skin (a great boon for surgeons). We could pick up a left shoe, rotate it in the fourth dimension, and
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