slyx737 / mandelbrotset

Visualize the beauty of the Mandelbrot set with this Python script. Generate and display Mandelbrot fractals with customizable image size, bounds, and iteration count.

Mandelbrot Fractal Visualizer

Visualize the beauty and complexity of the Mandelbrot set with this Python script. The Mandelbrot set is a mathematical set of points in the complex plane that exhibits fractal properties. This script allows you to generate and display Mandelbrot fractals with customizable image size, bounds, and iteration count.

Features

• Generate Mandelbrot fractals with a specified image size (width and height).
• Customize the bounds of the complex plane (x_min, x_max, y_min, y_max) to zoom in and explore different regions of the Mandelbrot set.
• Adjust the maximum number of iterations to control the level of detail in the fractal image.
• Display the generated Mandelbrot image with a color map of your choice.

Usage

1. Set the desired image size, bounds, and maximum number of iterations in the script.
2. Run the script to generate and display the Mandelbrot fractal image.

# Image size and bounds
width, height = 800, 800
x_min, x_max = -2, 2
y_min, y_max = -2, 2
max_iter = 256

# Generate Mandelbrot image
x, y, mandelbrot_image = create_mandelbrot_image(width, height, x_min, x_max, y_min, y_max, max_iter)

# Display the image
plt.imshow(mandelbrot_image.T, extent=(x_min, x_max, y_min, y_max), cmap='hot')
plt.colorbar()
plt.show()

# Dependencies
NumPy
Matplotlib

# License
This project is open source and available under the MIT License.

# Contact
If you have any questions or suggestions, please feel free to reach out or open an issue on GitHub.