17  THE OPTIVERSE  
 
DIRECTORS
nied by specially composed parambient music, are rendered in varied styles. This highlights the topological events, seen in the changing double-locus of self-intersections.
George Francis, John M. Sullivan, Stuart Levy
PRODUCERS
George Francis, John M. Sullivan, Stuart Levy
SOFTWARE
Custom Software, Evolver, Renderman, Geomview, Jaleo
MUSIC
Camille Goudeseune
HARDWARE
CONTRIBUTORS
Silicon Graphics

Postproduction - Jeff Carpenter, Dana Plepys; Student Programmers - Alexei Bourd, Chris Hartman; Mathematical Advice - Rob Kusner; Evolver Author - Ken Brakke

FURTHER INFORMATION
www.math.uiuc.edu/~jms
SUMMARY
CONTACT
We present new optimal methods for turning a mathematical sphere inside out. These eversions, computed automatically in Brakke's evolver by minimizing Willmore's elastic bending energy for surfaces, form part of an infinite family with increasing symmetry. Each computation starts from a conformally transformed minimal surface (with twice the symmetry), a critical point for bending energy. The eversions, accompa-
John M. Sullivan
Univ. of Illinois, Dept. of Mathematics
250 Altgeld Hall
1409 W Green St
Urbana, IL 61801, USA

Tel: +1.217.239.4194
Fax: +1.217.333.9576
jms@math.uiuc.edu

© 1996-2013 Last modified: 23.04.2013 --- Konrad Polthier --- Freie Universität Berlin, Germany