How can we "see" four-dimensional objects? The best we can do is look at three-dimensional "shadows": just as a shadow of a three-dimensional object squishes it into the two-dimensional plane, we can squish a four-dimensional shape into three-dimensional space, where we can then make a 3D printed model of it.

We will explore the sphere in four-dimensional space, the four-dimensional versions of the Platonic solids, and various 3D printed sculptures, puzzles, and virtual reality experiences that have come from thinking about these things.