The Hopf fibration of $S^3$, showing families of linked great circles projected to $\mathbb{R}^3
This program visualizes the Hopf fibration, a fundamental construction in topology that decomposes the 3-sphere S^3 into a family of great circles (fibers) parameterized by the 2-sphere S^2. Each fiber is a circle, and any two distinct fibers are linked exactly once. The fibers are stereographically projected from S^3 to R^3, where they appear as circles and lines forming nested tori. The visualization shows how these fibers fill space and link together.
Controls: Click and drag to orbit, scroll to zoom.
