To use the project, Simply press the green flag along with the shift key to turn on Turbo Mode a get a semi-high iteration of this Fractal. Click To zoom in. For those who dont know what fractals are, the are complex pieces of art created by math.
The Mandelbrot set is a visually stunning fractal, formed by iterating a simple complex function on the complex plane. It's a mathematical concept that's popular due to its fascinating properties and beautiful visualizations. Iterating a Function: The set is created by repeatedly applying the quadratic function f(z) = z^2 + c to complex numbers z, where c is a constant complex number. Bounded Sequences: If the sequence of values generated by this iteration remains bounded (doesn't grow indefinitely), then the complex number c belongs to the Mandelbrot set. Diverging Sequences: If the sequence grows without bound, then c is not part of the Mandelbrot set. Visual Representation: The set is often visualized by plotting the points c in the complex plane, with different colors indicating how quickly the corresponding sequence diverges. Fractal Structure: The boundary of the Mandelbrot set is a fractal, meaning it exhibits self-similarity, with intricate details appearing at increasingly zoomed-in levels. Infinite Detail: Any portion of the Mandelbrot set's boundary can be zoomed in infinitely to reveal smaller replicas of the whole set, along with an infinite amount of new detail
