Möbius Transforms
Möbius Transforms
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.
f(z)=
a+bz
1+z
a
b
∞
Details
Details
The code for computing the parameterization is from R. E. Maeder, Computer Science with Mathematica, Oxford: Cambridge University Press, 2000.
References
References
References for demonstration.
External Links
External Links
Permanent Citation
Permanent Citation
Roman E. Maeder
"Möbius Transforms"
http://demonstrations.wolfram.com/MoebiusTransforms/
Wolfram Demonstrations Project
Published: September 25, 2024