| For more than forty years descriptive topologists have drawn pictures,
built models, programmed computers and made videos of how to turn a sphere
inside out. We trace the evolution and revolution in graphical techniques
invented to render the sphere eversions of Arnold Shapiro, Tony Phillips,
Bernard Morin, Charlie Pugh, Nelson Max, John Hughes, Francois Apery, Bill
Thurston, and John Sullivan.
I will show a video, still-pictures and three real-time interactive
computer animations (RTICA) on the PC which implement the eversions of
Morin-Apery-Denner, Thurston-Levy-McGuffin "OutsideIn", and Sullivan-Francis-Levy
"Optiverse".
See http://new.math.uiuc.edu/optiverse |