app.py

import matplotlib.pyplot as plt
import numpy as np
import streamlit as st

def fractal(x, y):
    # Fractal equation
    z = complex(x, y)
    c = complex(-0.7, 0.27)
    iterations = 100

    for i in range(iterations):
        z = z * z + c
        if abs(z) > 2:
            return i

    return iterations

# Generate the fractal data
xmin, xmax, ymin, ymax = -2.0, 2.0, -2.0, 2.0
n = 500  # Number of points along each axis
x = np.linspace(xmin, xmax, n)
y = np.linspace(ymin, ymax, n)
X, Y = np.meshgrid(x, y)
Z = np.zeros_like(X)

for i in range(n):
    for j in range(n):
        Z[i, j] = fractal(X[i, j], Y[i, j])

# Display the fractal using matplotlib
plt.imshow(Z, cmap='hot', extent=[xmin, xmax, ymin, ymax], origin='lower')
plt.colorbar(label='Iterations')
plt.title("Fractal Visualization")
plt.xlabel("Real")
plt.ylabel("Imaginary")
st.pyplot(plt)