Exploring a conformal mapping of the complex plane
This applet illustrates a conformal mapping , .
The blue point represents a complex number z. The red point is its image f(z) under the mapping. Drag the point z and see its image change.
You can use the checkboxes to explore the effect of the mapping on some regions in the complex plane:
1. a grid of points in a region of the plane
2. a point on a circle centered at 0
3. a point on a ray from 0
Drag the blue point z to see its image f(z) change, shown as the red point.
Inspired by http://rotormind.com/projects/codework/conformal/