Hopf Fibration Schematic

There are knot diagrams of the Hopf fibration with varying numbers of loops (check that all of the rings are linked with every other ring). It is interesting to note that for both of these methods of creating a diagram of the fibration of arbitrary size, the entire diagram takes up the space of a square of side-length 2n-1 where n is the number of loops.

I drew these in January of 2017.