RGB Scheme Based on Modulus and Phase of Complex Numbers

① This example demonstrates how to generate a dynamic RGB color scheme using the modulus and phase of complex numbers, mapping points in the complex plane to colored images for intuitive visualization of complex functions. ② Core mathematical concepts include polar representation of complex numbers, computation of modulus and argument, color mapping, and parameter animation. ③ Construction highlights: from the construction summary, it uses GeoGebra's Textfield for input, sliders (speed, t) for animation, numerous point objects (A1~A30 etc.) and complex objects (z_1, F) to build a grid, an input function (inputF) to define the complex mapping, and finally converts modulus and phase into RGB components for dynamic color variation. ④ Suitable for high school to university level complex number teaching, mathematical visualization demonstrations, or artistic math exploration, helping students understand complex operations and geometric meanings, and useful for teachers creating interactive courseware.