Update app.py

app.py

@@ -1,4 +1,36 @@
+import matplotlib.pyplot as plt
+import numpy as np
 import streamlit as st
 
-x = st.slider('Select a value')
-st.write(x, 'squared is', x * x)
+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)