Selected Images from The Optiverse

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).

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.