Moebius Transformations Revealed

A short film depicting the beauty of Moebius Transformations in mathematics. The movie shows how moving to a higher dimension can make the transformations easier to understand.The full version is available at http://www.ima.umn.edu/~arnold... background music (from Schumann's Kinderszenen, Op. 15, I) is performed by Donald Betts and available at http://www.musopen.com.

Channel: Education
Uploaded: June 3, 2007 at 7:33 am
Author: jonathanrogness

Length: 02:34
Rating: 4.70
Views: 1471238

Tags: math mathematics mobius moebius plane projection sphere stereographic transformation transformations

Video Comments

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WildStar2002 (October 13, 2008 at 3:09 am)

Amazing video! Very beautiful and simple!

654321shorty123456 (October 12, 2008 at 2:05 am)

nvm she did something with this video tho and she know the person who made it

654321shorty123456 (October 12, 2008 at 2:02 am)

my teacher in middle school helped make this or something like that

Catjoe12 (October 11, 2008 at 3:51 pm)

Gorgeous. But way too short. Give us more.

noobxcore (October 8, 2008 at 10:51 am)

i wish there were more maths based videos like this on youtube

growchronic (October 7, 2008 at 7:03 pm)

poo in me

loopylalaa (October 5, 2008 at 8:20 pm)

WE GET IT YOU FUCKING KNOW

roy2youtub (October 3, 2008 at 7:06 pm)

oh... so its like the spere is the center point of all the light, that explains everything, about this subject

mediteight (September 29, 2008 at 7:24 pm)

Besides the intriguing strip, Mobius also gave his name to a class of transformations of points in the plane - of the form f(z)=(az+b)/(cz+d). They seem to be quite complicated, and of different types, but this video shows they can all be viewed as being generated by the simple motions of the sphere.