Möbius Transforms

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

The parametric plot shows the transformation of the polar coordinate lines under the Möbius transform . The point is the image of 0, and is the image if . Transformation of the complex plane (in polar coordinates) under a Möbius transform can be observed by dragging the two points.

Contributed by: Roman E. Maeder (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The code for computing the parameterization is from R. E. Maeder, Computer Science with Mathematica, Oxford: Cambridge University Press, 2000.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send