06-22-2026, 08:11 AM
Complex function plotter,
by Juan Carlos Ponce Campuzano
Summary
The Complex Function Plotter (HSV) is an interactive visualization tool for exploring complex-valued functions using domain coloring. Instead of representing a complex function (f(z)) with a normal 2D graph, it maps every point of the complex plane to a color: the hue (H) represents the argument/phase of the complex value, while saturation and value (S and V in the HSV color model) help represent magnitude and structure.
By entering expressions such as polynomials, exponentials, logarithms, or trigonometric functions, users can observe zeros, poles, periodicity, and transformations of the complex plane through colorful patterns. The tool provides an intuitive way to study complex analysis concepts visually and reveals mathematical structures that are difficult to see with traditional graphs.
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by Juan Carlos Ponce Campuzano
Summary
The Complex Function Plotter (HSV) is an interactive visualization tool for exploring complex-valued functions using domain coloring. Instead of representing a complex function (f(z)) with a normal 2D graph, it maps every point of the complex plane to a color: the hue (H) represents the argument/phase of the complex value, while saturation and value (S and V in the HSV color model) help represent magnitude and structure.
By entering expressions such as polynomials, exponentials, logarithms, or trigonometric functions, users can observe zeros, poles, periodicity, and transformations of the complex plane through colorful patterns. The tool provides an intuitive way to study complex analysis concepts visually and reveals mathematical structures that are difficult to see with traditional graphs.
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