Create app.py

app.py

@@ -0,0 +1,47 @@
+import streamlit as st
+import matplotlib.pyplot as plt
+import numpy as np
+
+def generate_colored_circle_template(num_circles):
+    fig, ax = plt.subplots(figsize=(6, 6))
+    ax.set_xlim(0, 1)
+    ax.set_ylim(0, 1)
+    ax.axis('off')
+
+    for _ in range(num_circles):
+        radius = np.random.uniform(0.05, 0.15)
+        center = (np.random.uniform(radius, 1-radius), np.random.uniform(radius, 1-radius))
+        color = np.random.rand(3,)
+        circle = plt.Circle(center, radius, color=color, alpha=0.8)
+        ax.add_artist(circle)
+    return fig
+
+def generate_symmetrical_circle_layout(num_layers):
+    fig, ax = plt.subplots(figsize=(6, 6))
+    ax.set_aspect('equal')
+    ax.axis('off')
+    
+    center = (0.5, 0.5)
+    for i in range(num_layers):
+        radius = (i + 1) * 0.1
+        for j in range(6):
+            angle = np.pi / 3 * j
+            x = center[0] + radius * np.cos(angle)
+            y = center[1] + radius * np.sin(angle)
+            circle = plt.Circle((x, y), radius=0.05, color=np.random.rand(3,), fill=True)
+            ax.add_artist(circle)
+    return fig
+
+# Streamlit UI
+st.title("Circle Packings Visualization")
+
+mode = st.radio("Choose a visualization mode:", ("Random Circle Packings", "Symmetrical Circle Layouts"))
+
+if mode == "Random Circle Packings":
+    num_circles = st.slider("Number of Circles", 5, 50, 10)
+    fig = generate_colored_circle_template(num_circles)
+    st.pyplot(fig)
+elif mode == "Symmetrical Circle Layouts":
+    num_layers = st.slider("Number of Symmetrical Layers", 1, 5, 3)
+    fig = generate_symmetrical_circle_layout(num_layers)
+    st.pyplot(fig)