Testing Complex Numbers in the Mandelbrot Set

This example demonstrates the dynamic process of testing complex numbers within the Mandelbrot set, visually showcasing the iterative behavior of complex numbers. Core mathematical concepts include complex numbers, iteration, fractal geometry, and numerical computation. Construction highlights involve GeoGebra commands/objects like Textfield, J3, K3, J4, K4, J5, B2, InputBox1, B3, InputBox2, I2, J2, K2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, K5, J6, K6, J7, K7, J8, K8, J9, K9, J10, K10, J11, K11, J12, K12, A, B, C. Suitable for high school and above learners to understand the application of complex numbers in fractal geometry and algorithm optimization.