Mobius Transformations

Mobius Transformation is defined as z → (a*z+b)/(c*z+d)

Pre-image and post-image of the function: z → (z-1)/(z+1)

The post-image stereographically projected onto a sphere of radius 1/2. Rotate Me
Preimage and postimage on the polar grid.
The post-image stereographically projected onto a sphere of radius 1/2. Rotate Me
Preimage and postimage on most of the upper half of the polar grid.
The post-image stereographically projected onto a sphere of radius 1/2. Rotate Me

Mathematica notebook for this page: mobius.nb.zip

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2006-06