Fractal in Python

Table of Contents

• Project Objective
• Python Libraries
• Visual Goals
• Project Status

Project Objective

The goal of this little project is to recreate factals (the Mandelbrot and Julia set) with my current knowledge of Python. I might use other languages if I encounter limitations in computation or visualization (possibly using shaders later on).

Python Libraries Used

• Numpy
• Matplotlib

Visual Goals

The ultimate goal of this project is to achieve a visual aspect resembling the one above initially. To accomplish this, I am utilizing the Matplotlib library to quickly create an initial visual representation using its powerful graphing capabilities. Matplotlib provides a solid foundation for visualization, allowing me to visualize fractals efficiently.

As the project progresses, if I encounter certain limitations or if I aim to enhance the visual aesthetics further, I may explore additional visualization techniques or potentially incorporate advanced features such as shaders. The flexibility of Matplotlib allows me to start with a strong visual foundation and expand upon it as needed.

Project Status

Project Devlog :

• Add some color and optimisation

• Drawing the Mandelbrot set with Matplotlib.pyplot

• Calculating the value of Zn on the Mandelbrot set

def Computes_Z(complex, max_iterations = 100):
    z = 0
    for i in range(max_iterations):
        z = z * z + complex
        yield z

def ComputesMandelbrot(complex, max_iterations = 100):
    for n, z_nbr in enumerate(Computes_Z(complex, max_iterations)):
        if(abs(z_nbr) > 2.0):
            return n
        
    return max_iterations