https://youtu.be/AKotMPGFJYk Each fiber is linked with each other fiber exactly once. This is the property that first attracted attention to the Hopf fibration, and a pair of circles in this configuration is called a Hopf link. The collection of fibers over a circle in S2 is a torus (doughnut shape), S1×S1, and each such pair of tori are linked exactly once. The collection of fibers over an arc form an annulus whose boundary circles are linked. This is known as a Hopf band; it is a Seifert surface for the Hopf link.