Four-Dimensional Ideas

Living in a three-dimensional world, it is quite difficult for us to imagine a fourth geometric dimension, perpendicular to the three we already know. But a 4D geometry does not break any mathematical rule and indeed mathematicians have been studying it since the eighteenth century. Ideas referring to a 4D world have then spread beyond the math world and have inspired painters, sculptors, writers, and architects. Modern computer graphics allows us to get some more insight into this fascinating world.