A sphere can be turned inside out through smooth motions and self-intersections, as demonstrated by mathematician Steve Smale in 1957.
“Discusses the problem of turning a sphere inside out without creating sharp bends or creases, illustrating an application of turning points.”
Synopsis
A sphere can be turned inside out through smooth motions and self-intersections, as demonstrated by mathematician Steve Smale in 1957.
People
View all →Synopsis
Mathematician Steve Smale's discovery in 1957 reveals that a sphere can be turned inside out without sharp bends or creases. Using computer animation, Outside In illustrates this concept, making it accessible to a wide audience. The film introduces Bill Thurston's 'corrugations' method, providing a visual approach to understanding the transformation. The narrative combines dialogue and exposition to explain the intricate nature of this mathematical phenomenon.
Deep Dive
Why Watch
- See Steve Smale's 1957 sphere discovery come to life.
- Find out how spheres can be turned inside out.
- Meet Bill Thurston and his innovative methods.
Did You Know
- Steve Smale made his discovery about spheres in 1957.
- The film has a duration of 22 minutes.
- Bill Thurston introduced the 'corrugations' method in the documentary.
Perfect For
Frequently Asked Questions
Who discovered that a sphere can be turned inside out?
Mathematician Steve Smale made this groundbreaking discovery in 1957.
What method does Bill Thurston introduce in the documentary?
Bill Thurston introduces the 'corrugations' method to provide a visual and conceptual understanding of the sphere transformation.
What is the duration of the documentary Outside In?
The documentary has a duration of 22 minutes.
What are people saying?
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