Sphere eversion, using Boy's surface as a half-way model.
This is created in a similar way to The Optiverse (n=3), but using a conformal flow. This way the mesh is not altered during the entire process, which allows (easily) tracking and visualizing a specific slice.
See also: sphere eversion using Morin surface
https://www.youtube.com/watch?v=1vko02a1g-o
References:
The Optiverse: https://www.youtube.com/watch?v=cdMLLmlS4Dc
Boy's Surface: https://www.youtube.com/watch?v=wK1-thAV0PE
Spin Transformations of Discrete Surfaces: https://www.cs.cmu.edu/~kmcrane/Projects/SpinTransformations/