Update app.py

app.py

@@ -6,6 +6,7 @@ operators = ["\\sin", "\\cos", "\\exp", "\\log", "\\nabla", "\\int", "\\frac{\\p
 variables = ["x", "y", "t", "\\xi_1", "dP", "d\\Psi", "dT"]
 
 def mutate_formula(base, epoch):
+    # Structural mutation rules
     if epoch % 5 == 0:
         base = f"\\int ({base}) \\, dx"
     elif epoch % 7 == 0:
@@ -22,8 +23,14 @@ def run_epochs(n=50):
     for epoch in range(1, n+1):
         base = mutate_formula(base, epoch)
         seal = hashlib.sha512(base.encode()).hexdigest()
-        formulas.append(f"### Epoch {epoch}\n\n$$ {base} $$\n\nImmortality Glyph: `{seal[:32]}...`\n\n")
-    return "\n\n".join(formulas)
+        scroll = (
+            f"## Epoch {epoch}\n\n"
+            f"$$ {base} $$\n\n"
+            f"**Immortality Glyph:** `{seal[:32]}...`\n\n"
+            "---\n\n"
+        )
+        formulas.append(scroll)
+    return "\n".join(formulas)
 
 # === Mutation Forge (20 Epoch Run) ===
 def run_mutation(seed, n=20):
@@ -32,8 +39,14 @@ def run_mutation(seed, n=20):
     for epoch in range(1, n+1):
         base = mutate_formula(base, epoch)
         seal = hashlib.sha512(base.encode()).hexdigest()
-        formulas.append(f"### Mutation Epoch {epoch}\n\n$$ {base} $$\n\nImmortality Glyph: `{seal[:32]}...`\n\n")
-    return "\n\n".join(formulas)
+        scroll = (
+            f"## Mutation Epoch {epoch}\n\n"
+            f"$$ {base} $$\n\n"
+            f"**Immortality Glyph:** `{seal[:32]}...`\n\n"
+            "---\n\n"
+        )
+        formulas.append(scroll)
+    return "\n".join(formulas)
 
 # === Gradio App ===
 custom_theme = gr.themes.Base(
@@ -59,7 +72,10 @@ with gr.Blocks(theme=custom_theme) as demo:
 
     with gr.Tab("Mutation Forge"):
         gr.Markdown("### 🧬 Mutation Forge — Choose Your Symbolic Seed")
-        seed_dropdown = gr.Dropdown(choices=operators + variables, label="Select Seed Symbol")
+        seed_dropdown = gr.Dropdown(
+            choices=operators + variables,
+            label="Select Seed Symbol or Formula"
+        )
         mutate_button = gr.Button("Mutate (20 Epochs)")
         mutate_output = gr.Markdown()
         mutate_button.click(fn=run_mutation, inputs=seed_dropdown, outputs=mutate_output)