This interactive simulator enables students to explore the Mandelbrot and Julia Set fractals in real time. Learners can zoom into intricate patterns, adjust parameters to generate different Julia sets, and observe how complex number iteration creates infinite self-similar structures. Perfect for visualising abstract mathematical concepts.
Learning objectives: Understand how iterative functions generate fractal geometry | Explore the relationship between the Mandelbrot set and Julia sets through parameter manipulation | Visualise complex numbers and their behavior under repeated mathematical operations