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Poster for Turning a Sphere Inside Out

Turning a Sphere Inside Out

1979

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

  • Nelson Max
  • 22m
  • January 1, 1979 · United States of America

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

Status
Released
Release date
January 1, 1979
Original language
English
Spoken languages
English
Countries
United States of America
Director
Nelson Max
Budget
Not recorded
Revenue
Not recorded
Turning a Sphere Inside Out (1979) | Kinocult