Visualization of the Sphere Eversion

using a process similar to the one by Bernard Morin and Nelson Max

(Models by Alex Kozlowski and Carlo H. Séquin)

_Step #1: push the South Pole through the North Pole

_Step #2: Pinch the red South Pole bulge to push its front to the back, and vice versa.

_Step #3: Continue the process of bulging out to the front and back, now seen from below.

_Step #4": Start to twist the figure-8 shaped "inner tube" at the bottom.

_Step #5: Continue that twisting motion through about 270 degrees until the red ear drums start to face upwards.

_ _ _Step #6: We are at the half-way point; this is the famous Morin surface !

_Step #7: Push the red tube crossing the top downwards to get to the equivalent twisted state of Step #5.

_Step #8: The twist of the red "inner tube" is being reduced.

_ _Step #9: The un-twisting motion has been completed; result from above and below.

_Step #10: The front and back bulges are being retracted, to make a simple green hump at the top.

_Step #11: Almost done, we just need to retract the green bulge down to the South Pole.

_Step #12: The sphere has been turned inside out.

We are in the process of making physical models for all these steps:

_ _ A more robust model with thicker struts of Step #3 in the sequence.

_ _ A model of Step #2 in the build phase.

_ A successful model of the half-way point (Morin surface) in a different, fully gridded style.

_ _ And a cut-away model of the same step to show what happens inside the lobes.