How can I create fractals using Python?

How can I create fractals using Python?

You can create fractals in Python using libraries like Matplotlib and NumPy. Would you like a specific example?

Yes, please show me how to create a Mandelbrot set.

Sure! Here's a simple code snippet to create a Mandelbrot set:

import numpy as np
import matplotlib.pyplot as plt

# Set the dimensions of the image
width, height = 800, 800

# Create a blank image
image = np.zeros((height, width))

# Define the range of the complex plane
re_min, re_max = -2, 1
im_min, im_max = -1.5, 1.5

# Generate the Mandelbrot set
for x in range(width):
    for y in range(height):
        c = complex(re_min + (x / width) * (re_max - re_min), im_min + (y / height) * (im_max - im_min))
        z = 0
        iteration = 0
        max_iteration = 100
        while abs(z) < 2 and iteration < max_iteration:
            z = z*z + c
            iteration += 1
        image[y, x] = iteration

# Display the image
plt.imshow(image, cmap='hot')
plt.colorbar()
plt.show()

This will generate a beautiful Mandelbrot set!

That looks great! Can I customize the colors?

Absolutely! You can change the colormap in the plt.imshow() function. For example, replace cmap='hot' with cmap='viridis' or any other colormap available in Matplotlib.