Julia Set Fractal: c = -1 + 0i Visualization in Complex Plane

① This example demonstrates the Julia set fractal on the complex plane for the parameter c = -1 (i.e., -1+0i), generated by iterating the complex function f(z) = z² + c, producing intricate chaotic boundary patterns. ② Core mathematical concepts include complex number arithmetic, iteration and dynamical systems, fractal geometry, and the relationship between Julia sets and the Mandelbrot set. ③ Construction highlights: Based on the construction summary, GeoGebra commands such as First are used, along with numerous point objects (A, A1, A2...A21), lists (lijst2), sliders, buttons (knop1), and images (afbeelding1, afbeelding2), to iteratively generate point sets and render the fractal pattern, likely involving complex coordinate transformations and dynamic updates. ④ Suitable for high school to university level math enthusiasts or students, this example serves as an introduction to complex iteration and fractal geometry, and can be used for visual exploration of dynamical systems.