I enjoyed a presentation from Jason Cantarella yesterday, during which he showed a nice cyclic deformation of the Borromean rings. @henryseg.bsky.social made a comment about whether a similar motion would be possible as a Möbius transformation, which inspired me to create this:

For anyone else curious what each one represents:

This surface can be described as a diagonal on the hypersphere. See thread here for some explanation:
mathstodon.xyz/@Danpiker/11...

A triply orthogonal system of surfaces from stereographic projection of Hopf coordinates

Here's the same uploaded as mp4 at 30fps

Trying at 30fps