A 4-D cube (hypercube) can cast many different 3-D shadows -- in the perspective case, the small cube is distant from your 4D eyeball, the large cube is closer, and the rest resemble hallways leading to the central cube. Compare this model with the Parallel Hypercube shadow. How many cubes make a hypercube? Can you count them all in this shadow? You can even make a bubble model.
easy