How can I create fractal art using Python?

How can I create fractal art using Python?

You can create fractal art in Python using libraries like Matplotlib and NumPy. Would you like a simple example?

Yes, please provide a basic example.

Here's a simple example using the Mandelbrot set:

import numpy as np
import matplotlib.pyplot as plt

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

# Create a grid of complex numbers
x = np.linspace(-2, 1, width)

y = np.linspace(-1.5, 1.5, height)

# Create a meshgrid
X, Y = np.meshgrid(x, y)
C = X + 1j * Y
Z = np.zeros(C.shape, dtype=complex)

# Initialize the iteration count
iterations = np.zeros(C.shape, dtype=int)

# Iterate to determine the escape time
for i in range(100):
    mask = np.abs(Z) < 100
    Z[mask] = Z[mask] ** 2 + C[mask]
    iterations[mask] += 1

# Plot the result
plt.imshow(iterations, extent=(-2, 1, -1.5, 1.5), cmap='hot')
plt.colorbar()
plt.title('Mandelbrot Set')
plt.show()

That looks great! Can I customize the colors?

Absolutely! You can change the cmap parameter in the imshow function to use different color maps. For example, try cmap='viridis' for a different look.