| 19 THE OPTIVERSE |  |
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| 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 | |||||||||||||||||||
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Postproduction - Jeff Carpenter, Dana Plepys; Student Programmers - Alexei Bourd, Chris Hartman; Mathematical Advice - Rob Kusnerr; Evolver Author - Ken Brakke |
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| 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
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