A Sphere Visits Flatland

When a sphere from 3D Spaceland visits 2D Flatland, the citizens of Flatland perceive it only as a series of 2D slices that make the sphere resemble their elite class of citizens, the Circles. (The more sides a shape has in Flatland, the more elevated it is in the social hierarchy). In this Demonstration you compare the Flatlanders' point of view with your own as the sphere passes through Flatland. The challenge for you, as a Spacelander, is to imagine what a 4D sphere would look like as it passes through your 3D world.