Turning a Sphere Inside Out

Turning a Sphere Inside Out

1979
22m
0.0

0.0/10

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Documentary

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

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.

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Status: Released

Language: EN

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Production Information

Production Companies
The Topology Films Project Case Western Reserve University Education Development Center (E/D/C) International Film Bureau
Production Countries
United States of America
Spoken Languages
English

Keywords

mathematics topology number theory 3d animation

Quick Facts

Release Date January 1, 1979
Status Released
Language EN
IMDb ID tt23725246

Cast

Nelson Max
Nelson Max

Self

Stephen Smale
Stephen Smale

Self

Charles Pugh
Charles Pugh

Self

Judith Bregman
Judith Bregman

Self

Key Crew

Nelson Max
Director