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Turning a Sphere Inside Out

Unfolding the impossible: turning a sphere inside out, without a single crease.

Genres

Documentary

Overview

This video is about the problem of turning a sphere inside out, by passing the surface through itself, without making any holes or creases. Mathematicians believed the problem to be unsolvable until 1958, when Stephen Smale proved otherwise. The motion of turning a sphere inside out, called a regular homotopy, is extremely difficult to visualize. The homotopy in this film was developed by Bernard Morin, a blind mathematician. The motion is illustrated with a sequence of chicken-wire models, built by Charles Pugh, showing the crucial stages in the motion. Commentary is provided by mathematicians Nelson L. Max, Stephen Smale, and Charles Pugh, and by physicist Judith Bregmann.

Details

Budget

$0

Revenue

$0

Runtime

22 min

Release Date

1979-01-01

Status

Released

Original Language

English

Vote Count

0

Vote Average

0

Cast
Meet the talented actors who bring the movie to life.

Nelson Max

Self

Stephen Smale

Self

Charles Pugh

Self

Judith Bregman

Self

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