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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Interior views

These two views show the gastrula stage of the 2-fold
eversion from inside---the second looks almost
along the symmetry axis.

These pictures view the 2-fold eversion from inside, looking up along
the symmetry axis, with a wide-angle lens. First we see the stage just after
creation of the second double curve. Then we see
a stage shortly after the creation of two pairs
of triple points (towards the upper right and lower
left).
Miscellany

These images show the 2-fold eversion, first in
the gastrula stage, then between the times
the first and second double curves appear,
and finally at the halfway model.