Watch Turning a Sphere Inside Out (1979) Online Free
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.
Cast
Nelson Max, Stephen Smale, Charles Pugh, Judith Bregman
More Like This
BIG FUN in the BIO
Vince Collins tells of his animation history—looking to the past and eventually to AI and beyond.
2025
Speeding, of Course
70-year-old Timo makes the most of his short ride to work. Speeding up on a bicycle ends up in a ditch, but the adrenaline rush leaves a feeling of pleasure.
2025
Ces mathématiciens qui firent plier le Kremlin
On January 15, 1972, Leonid Pliouchtch, a Ukrainian mathematician who was unknown at the time, was locked up in a Soviet psychiatric institution and accused of dissidence. His wife, Tatiana, fought for his defense and contacted a committee of French mathematicians to help him. Led by Laurent Schwartz, they launched a three-year campaign to secure his release and succeeded in getting the USSR to back down on the issue.
2025
Piece by Piece
A unique cinematic experience that invites audiences on a vibrant journey through the life of cultural icon Pharrell Williams. Told through the lens of LEGO® animation, turn up the volume on your imagination and witness the evolution of one of music's most innovative minds.
2024
Palmyre, à la croisée des mondes
2024
Bob Spit: We Do Not Like People
Bob Spit, a comic book character, lives in a post-apocalyptic desert inside the mind of his creator, the legendary Brazilian cartoonist Angeli. When Angeli decides to kill off Bob, the old punk leaves this wasteland and faces his creator.
2021
The Unseen
When Tehran hosts visiting foreign dignitaries, the local authorities clean up the city’s urban image through the controversial process of ‘urban beautification’. Those who are deemed unsavoury are rounded up – drug users, prostitutes and the homeless who sleep in cardboard boxes on sidewalks and who they would rather remain unseen. When these very important people leave, the men are released but the women are kept as wards of the state. An animated documentary made using hand-crafted cardboard miniatures and the voices of women to tell their story, one that has been five years in the making. A story that shows how the face of a city can change, but what is underneath often does not.
2019
Model Childhood
An autobiographical, partly animated, documentary about a filmmaker striving for a better future as a survivor of childhood sexual assault.
2019
Cassini's Grand Finale
To help visualize the dramatic final chapter in Cassini's remarkable story, NASA's Jet Propulsion Laboratory produced this short film that features beautiful computer-generated animation, thoughtful narration and a rousing score. Producers at JPL worked with filmmaker Erik Wernquist, known for his 2014 short film "Wanderers," to create a stirring finale video befitting one of NASA's most successful missions of exploration.
2017
Magic Money: The Bitcoin Revolution
What is Bitcoin? With the advent of Bitcoin, the world's first digital currency, for the first time in history money is no longer controlled by banks or governments, but by the people who use it. But where did this currency come from? How does it work? And is it truly the way forward, or just a flash in the pan? Magic Money answers these questions and more as it explores the mysterious origins of Bitcoin, its role in society, and how it could shape the future.
2017
The Deal
Stop-motion animation on the arranging of marriages in 1950/60s set in the Eastern-Polish borderland. The script is based on a part of Mikołaj Smyk's diary, the director's grandfather. The biographical objects used in the animation, such as an authentic headscarf, Polish and Russian books, the copy of Mikołaj Smyk's diary and photographs help situate the story in its original environment.
2015
New Horizons
A brief visualisation of NASA’s historic spacecrafts Mariner, Pioneer, Voyager, and Dawn, exploring the solar system, culminating in the New Horizons mission.
2015
Beautiful Young Minds
This BAFTA nominated documentary tells the story of some of the brightest mathematical brains of a generation. Each year, exceptionally gifted teenagers from over 90 countries compete for medals at the International Mathematical Olympiad. The film follows a group of brilliant teenagers as they battle it out to become the chosen six selected to represent the UK.
2007
Achieving the Unachievable
M.C. Escher is among the most intriguing of artists. In 1956 he challenged the laws of perspective with his graphic Print Gallery and his uncompleted master-piece quickly became the most puzzling enigma of modern art. Fifty years later, can mathematician Hendrik Lenstra complete it? Should he?
2007
The Story of 1
A humor-inflected history of the of the number one, covering military applications in ancient Rome, the measurement of distances in India, and the decimal system created by Leibnitz.
2005
Our Story
The life of indigenous migrant children in Mexico who work in the tomato fields.
2004
Metamorphose: M.C. Escher, 1898-1972
A documentary about the life and works of the artist M. C. Escher. Maurits Cornelis Escher (1898-1972) usually referred to as M. C. Escher, was a Dutch graphic artist. He is known for his often mathematically inspired woodcuts, lithographs, and mezzotints. These feature impossible constructions, explorations of infinity, architecture, and tessellations.
1999
N is a Number: A Portrait of Paul Erdős
In an age when genius is a mere commodity, it is useful to look at a person who led a rich life without the traditional trappings of success. A man with no home and no job, Paul Erdös was the most prolific mathematician who ever lived. Born in Hungary in 1913, Erdös wrote and co-authored over 1,500 papers and pioneered several fields in theoretical mathematics. At the age of 83 he still spent most of his time on the road, going from math meeting to math meeting, continually working on problems. He died on September 20, 1996 while attending such a meeting in Warsaw, Poland.
1993
Theory of Sets
Made entirely on Roger Wagner's HyperStudio software, Chris Marker explores set theory, using Noah's Ark as an example.
1991
El hipercubo
Based on the thesis of Alejandro Rivero and Ernesto Pacheco, this documentary attempts to glimpse, through the senses, the fourth mathematical dimension.
1986