![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDeG4Yo245Wi-llV6zKfa7-6-SBaWxlBpMO-drVGUcjv_1-z09zQynF54ZTGSwXfvKZpCUJ1wDwzpJgphbQKsn464dXrNQDWogAvUOVLfXA6P8lGGymObhFu7vY5uHmJTW1OBkZyXXVBW7/s400/mobend.png)
Wednesday, April 27, 2011
A family of Mobius transformations
I was trying to sketch the behavior of a Mobius transformation in my complex analysis course today. Its hard to convey on the blackboard, so I tried making a video which shows a homotopy of the image of the unit disk, from the identity to (1+z)/(1-z) and back again.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDeG4Yo245Wi-llV6zKfa7-6-SBaWxlBpMO-drVGUcjv_1-z09zQynF54ZTGSwXfvKZpCUJ1wDwzpJgphbQKsn464dXrNQDWogAvUOVLfXA6P8lGGymObhFu7vY5uHmJTW1OBkZyXXVBW7/s400/mobend.png)
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