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

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Related pages:

• Conformal Face Mapping
• Stereographic Projection
• Hyperbolic Stereographic Projection

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

Conformal Mapping

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Interactive simulations of some conformal mappings:

z^2 – square grid.
Drag the purple point to move the grid.

z^3 – square grid.
Drag the purple point to move the grid.

exp(z) – square grid.
Drag the purple point to move the grid.

exp(z) – devil.
Drag the devil to study the dynamics of the transformation.

exp(z+p) – devil (animated in p).
Drag the devil to study the dynamics of the transformation.

(z-1)/(z+1) – square grid.
Drag the purple point to move the grid.

1/z(z-1) – polar grid.
Drag the purple point to move the grid.

cos(z) – square grid.
Drag the purple point to move the grid.

sin(z) – square grid.
Drag the purple point to move the grid.

sin(z) – devil.
Drag the devil to study the dynamics of the transformation.

sin(z+p) – devil (animation in p).
Drag the devil to study the dynamics of the transformation.