Conformal Mapping: Complex Analysis

A grid in the z-plane transforms under analytic functions f(z). Angles are preserved (conformality) — right angles remain right angles after mapping.

z-plane (input)

w = f(z) (output)

Animate t: 1.00

Grid Density: 12

Param a: 0.50

Conformal maps preserve local angles — the hallmark of analytic functions (Cauchy-Riemann equations)