The following images are stills taken from The Optiverse, a video by John Sullivan, George Francis, and Stuart Levy, about the minimax sphere eversion.
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The triple point
These three images show the 2-fold eversion near the time pairs
of triple points are created, in a close up, a solid view,
and a gapped view highlighting the double-locus.
Halfway model
Near the halfway stage of the 2-fold eversion,
the double locus is quite elaborate, with a small
tetrahedron growing out of what is the quadruple
point at the halfway stage. A cutaway view of
the halfway model is quite elaborate.