Julia Set: c = 0 + 0.33i in the Complex Plane

① This example demonstrates the Julia set generated by the constant c = 0 + 0.33i in the complex plane, visualizing the fractal pattern produced by iterating the complex function z → z² + c. ② Core mathematical concepts include complex arithmetic, iteration, dynamical systems, and fractal geometry, showing how the orbits of points in the complex plane create intricate boundaries. ③ Construction highlights: from the summary, the GeoGebra command First is used to extract initial sequence elements, and numerous point objects (A1 to A21) along with list lijst2 are created; a slider knop1 controls iteration parameters, while buttons and image objects (afbeelding1, afbeelding2) enable dynamic visualization; auxiliary solids like cylinders and prisms serve as background or reference. ④ Suitable for high school to university students studying complex numbers and fractals, also useful for math outreach or artistic creation, providing an intuitive understanding of iterative convergence and chaos.