Z-Plane (Circle + Offset)
Drag the circle center to adjust the airfoil shape
Conformal mapping from circle to airfoil in the complex plane
Drag the circle center to adjust the airfoil shape
The Joukowski transformation maps a circle in the z-plane to an airfoil shape in the w-plane. By offsetting the circle center from the origin and ensuring it passes through z = 1, we get realistic airfoil shapes with sharp trailing edges.