  
Outside in
© 1994 by The Geometry Center. All rights reserved. For further
information, or permission to duplicate, please contact:
- The Geometry Center
- 1300 South Second Street, Suite 500
- Minneapolis, MN 55454 U.S.A.
- 1-612-626-0888 (phone)
- 1-612-626-7131 (fax)
permission@geom.umn.edu (email: contact this address for information on
how to link to the original, definitive versions, which is encouraged;
permission to make copies for personal or classroom use is granted
without fee provided that copies are not made or distributed for profit
or direct commercial advantage, and that copies bear a proper Geometry
Center copyright notice; other uses may be permitted, contact the
address indicated for futher information)
Image(s): 640*480
 Jpeg Image (16 Ko) |
- Silvio Levy
- Delle Maxwell
- Tamara Munzner
Video(s) and extracted images: 320*240
Film
1 |
Video QuickTime -> |
 (4.1 Mo) |
| Jpeg Images -> |
 (2 Ko) |
 (2 Ko) |
Description
Outside In illustrates an amazing mathematical discovery made in 1957:
you can turn the surface of a sphere inside out without making a hole,
if you think of the surface as being made of an elastic material that
can pass through itself. Communicating how this process of eversion can
be carried out has been a challenge to differential topologists ever
since. Computer graphics helps to explain as well as present the visual
elegance of this process.
Technical Information
- Software: Custom, RenderMan, Softimage, Mathematica, Geomview, Perl
- Hardware: Silicon Graphics
More Information...
Bibliography :
http://www.geom.umn.edu/locate/oi/biblio.html
Abstract :
The computer animation Outside In explains the amazing discovery, made
by Steve Smale in 1957, that a sphere can be turned inside out by means
of smooth motions and self-intersections. With dialogue and exposition
accessible to anyone who has some interest in mathematics, Outside In
builds up to the grand finale -- Bill Thurston's ``corrugations''
method of turning the sphere inside out -- by discussing the related
case of closed curves (which generally cannot be turned inside out) and
by using everyday analogies such as train tracks, belts, smiles and
frowns -- all richly animated and complete with sound effects.
Some external links :
-
- http://www.geom.umn.edu/locate/oi
Some more Comments :
If you have any questions about this information, please contact:
Carol Scheftic at The Geometry Center (telephone: 612-626-8325).
|
