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Turning a Sphere Inside Out
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Case Western Reserve University
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Education Development Center (E/D/C)
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International Film Bureau
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The Topology Films Project

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Turning a Sphere Inside Out

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

1979 22 min ★ 0.0 (0) Released
Documentary

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.

Original title
Turning a Sphere Inside Out
Language
EN
Country
US
Budget
Revenue
Keywords 4
3d animation mathematics number theory topology
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No cast information available.

Crew 0

No crew information available.

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Study of Gestures_01

Study of Gestures_01

2020

VS
Suppressed Duck

Suppressed Duck

1965

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Battle your watched movies head-to-head

Community Top Movies

🥇 Evil Dead II

Evil Dead II

1987 · 14 wins

🥈 The Dark Knight

The Dark Knight

2008 · 14 wins

🥉 Final Destination

Final Destination

2000 · 12 wins

#4 Top Gun: Maverick

Top Gun: Maverick

2022 · 11 wins

#5 Joker

Joker

2019 · 11 wins

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