A MATLAB visualization of how the complex map w = z² + z warps a uniform spatial grid in real time.
A MATLAB simulation studying how the nonlinear complex function w = z² + z distorts a uniform rectangular grid — stretching, rotation and warping made directly visible, with every transformation manually cross-checked against hand-computed complex points.
A grid-generation and complex-mapping engine that applies w = z² + z point-by-point across a uniform grid and renders the deformed result.
Confirming the transformation was implemented correctly required more than a visually plausible plot.
Manually computed several complex points independently and cross-checked them against the MATLAB-generated grid before trusting the visualization.
The visualization accurately renders the expected local stretching, rotation and distortion effects of the nonlinear transform, verified against hand-calculated reference points.