Turning a Sphere Inside Out
2004
A K Peters (Hersteller)
978-1-56881-218-2 (ISBN)
A K Peters (Hersteller)
978-1-56881-218-2 (ISBN)
- Titel ist leider vergriffen;
keine Neuauflage - Artikel merken
One of the finalists participating in the International Snow Sculpture Championships in Breckenridge, CO will be creating a snow sculpture that illustrates the concept descibed in this movie. In 2002, members of the same team were awarded Second Place.
Turning a Sphere Inside Out opens with a discussion of the problem of turning a sphere inside out by passing the surface through itself without making any holes or creases. Mathematicians believed that the problem was insoluble until 1958 when Stephen Smale proved otherwise. However, no one could visualize the motion, called a regular homotopy. The homotopy in this film was developed by Bernard Morin, a blind mathematician. It is illustrated with a sequence of chicken-wire models, built by Charles Pugh, showing the crucial stages in the motion. Mathematicians Nelson L. Max, Stephen Smale, and Charles Pugh, and physicist Judith Bregmann provide the commentary. The film closes with several different sequences of computer animation revealing the continuous motion of the sphere. Supplemental information and images are available by clicking here.
Turning a Sphere Inside Out opens with a discussion of the problem of turning a sphere inside out by passing the surface through itself without making any holes or creases. Mathematicians believed that the problem was insoluble until 1958 when Stephen Smale proved otherwise. However, no one could visualize the motion, called a regular homotopy. The homotopy in this film was developed by Bernard Morin, a blind mathematician. It is illustrated with a sequence of chicken-wire models, built by Charles Pugh, showing the crucial stages in the motion. Mathematicians Nelson L. Max, Stephen Smale, and Charles Pugh, and physicist Judith Bregmann provide the commentary. The film closes with several different sequences of computer animation revealing the continuous motion of the sphere. Supplemental information and images are available by clicking here.
Nelson Max is Professor of Applied Science at the University of California, Davis and a Computer Scientist at Lawrence Livermore National Laboratory. He has worked in Japan for 3 and a half years as co-director of two Omnimax (hemisphere screen) stereo films for international expositions, showing the molecular basis of life. His computer animation has won numerous awards.
| Verlagsort | Natick |
|---|---|
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 1-56881-218-3 / 1568812183 |
| ISBN-13 | 978-1-56881-218-2 / 9781568812182 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
