Conformal Maps

An analytic function $f(z)$ is a conformal map, meaning it preserves angles locally. Small squares in the grid of the $z$-plane map to small "squares" (curvilinear quads with 90° corners) in the $w$-plane.

Z-Plane: The input domain/grid.
W-Plane: The output range $w = f(z)$. Instructions: Select a function and move the mouse over the left canvas ($Z$-Plane). Observe how the grid lines deform in the right canvas ($W$-Plane) while maintaining their orthogonal intersections.