Update my_pages/ica.py

my_pages/ica.py

@@ -1,8 +1,62 @@
+# pages/ica.py
 import streamlit as st
-from utils import go_to
+import matplotlib.pyplot as plt
+import numpy as np
 
 def render():
-    st.title("Multiplicity")
-    st.write("The ICA page is currently empty. Add content here.")
-    if st.button("Back to Main Page"):
-        go_to("home")
+    st.title("Intentional - Conventional - Arbitrary Triangle")
+
+    # Vertices of the triangle
+    vertices = {
+        "Intentional": (0.0, 0.0),
+        "Conventional": (1.0, 0.0),
+        "Arbitrary": (0.5, np.sqrt(3)/2)
+    }
+
+    # Explanations
+    explanations = {
+        "Intentional": "An intentional choice is deliberate and goal-oriented.",
+        "Conventional": "A conventional choice follows established norms.",
+        "Arbitrary": "Random seeds — a purely arbitrary choice."
+    }
+
+    if "clicked_vertex" not in st.session_state:
+        st.session_state.clicked_vertex = None
+
+    # Function to handle clicks
+    def onclick(event):
+        if event.xdata is None or event.ydata is None:
+            return  # Clicked outside plot
+
+        click_point = np.array([event.xdata, event.ydata])
+        closest_vertex = min(
+            vertices.keys(),
+            key=lambda v: np.linalg.norm(click_point - np.array(vertices[v]))
+        )
+        st.session_state.clicked_vertex = closest_vertex
+        st.experimental_rerun()
+
+    # Draw triangle
+    fig, ax = plt.subplots()
+    triangle_coords = np.array(list(vertices.values()) + [vertices["Intentional"]])
+    ax.plot(triangle_coords[:, 0], triangle_coords[:, 1], 'k-', lw=2)
+
+    # Label vertices
+    for label, (x, y) in vertices.items():
+        ax.text(x, y + 0.05, label, ha='center', fontsize=12, fontweight='bold')
+        ax.plot(x, y, 'o', markersize=10)
+
+    ax.set_aspect('equal')
+    ax.axis('off')
+
+    # Connect click event
+    cid = fig.canvas.mpl_connect("button_press_event", onclick)
+
+    st.pyplot(fig)
+
+    # Show explanation if a vertex was clicked
+    if st.session_state.clicked_vertex:
+        st.markdown(
+            f"### You clicked near **{st.session_state.clicked_vertex}**\n"
+            f"{explanations[st.session_state.clicked_vertex]}"
+        )