Inversion

This page is a sub-page of our page on Calculus of One Complex Variable.

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Related KMR-pages:

• Inversive Geometry
Inverse Curves
Conformal Mapping
Möbius transformations
Steiner Circles
Stereographic Projection

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The interactive simulations on this page can be navigated with the Free Viewer
of the Graphing Calculator.

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Inversion is a special case of conformal mapping.

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Inversion

Inversion of a polar grid:

The interactive simulation that created this movie.

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Inverting a Devil in the unit circle:

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The interactive simulation that created this movie.

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Transforming the Devil by f(z) = 1/z:

The interactive simulation that created this movie.

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Angels and Devils transformed by inversion in the unit circle:

The interactive simulation that created this movie.

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Sterographic projection as inversion (polar grid):

The interactive simulation that created this movie.

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Sterographic projection as inversion (rectangular grid):

The interactive simulation that created this movie.

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