app.py

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)