UI Layout Flow:

1. Input-Sektion
- Text Input + Optionen
- Process Button
- Sidebar mit Architecture + Quick Examples

2. Results-Sektion
- Summary
- Visualizations (Curvature + 3D Plot)
- Detailed JSON (Accordion)

3. Examples-Sektion ⭐ NEU
- Schöne Überschrift: "🧬 Try These Cutting-Edge Examples"
- 15 cutting-edge Domain-Beispiele in gr.Examples
- Klare Anweisung: "Click any example above to automatically fill..."

4. Footer
- Contact CTA + Mathematical Context

🎯 Benutzer-Experience:

1. Input eingeben → Process Button klicken
2. Results analysieren → Visualizations anschauen
3. Examples ausprobieren → Cutting-edge Domains testen

Die Examples sind jetzt nach den Results platziert, sodass Benutzer erst ihr Ergebnis sehen und
dann inspiriert werden, weitere Beispiele auszuprobieren! 🚀

app.py

@@ -1805,29 +1805,6 @@ def create_beautiful_interface():
                         variant="primary",
                         size="lg"
                     )
-                    
-                    # Enhanced examples with cutting-edge domains
-                    gr.Examples(
-                        examples=[
-                            ["Dock the kinase inhibitor with the phenyl ring parallel to the hinge backbone.", True, True, 256],
-                            ["Embed the fluxonium qubit 5 nm above the ground plane, aligned to the Φ = 0.5 Φ₀ sweet spot.", True, True, 256],
-                            ["Arrange four THF molecules tetrahedrally around Li⁺, 2.1 Å Li–O distance.", True, True, 256],
-                            ["Stack perovskite unit cells along ⟨110⟩ with 2 nm inter-layer gap.", True, True, 256],
-                            ["Orient the Pt(111) terrace so CO binds atop, 1.8 Å Pt–C bond length.", True, True, 256],
-                            ["Weave carbon nanotubes into a 3D lattice with 60° torsion for negative Poisson ratio.", True, True, 256],
-                            ["Shape the magnetic flux surface into a D-shaped cross-section, R = 3.5 m, a = 1.2 m.", True, True, 256],
-                            ["Pack the α-helix against the β-sheet at a 35° inter-domain angle.", True, True, 256],
-                            ["Place the SQUID loop 10 μm above the Nb stripline, aligned to the magnetic bias line.", True, True, 256],
-                            ["Segregate the fullerene domains 5 nm from the polymer backbone in vertical columns.", True, True, 256],
-                            ["Define the SN2 trajectory along the C–O bond axis, 180° inversion angle.", True, True, 256],
-                            ["Embed Si nanowires in a zig-zag pattern with 20 nm pitch to scatter phonons.", True, True, 256],
-                            ["Place the aluminum bracket flush against the jig, 5 cm left of the drill bit.", True, True, 256],
-                            ["Shift the electronics pallet three bays toward aisle C, top tier only.", True, True, 256],
-                            ["Float the navy couch 30 cm from the bay window, facing the TV.", True, True, 256]
-                        ],
-                        inputs=[text_input, enable_geometry, show_visualization, max_length],
-                        label="🧬 Click to try cutting-edge domain examples"
-                    )
                 
                 with gr.Column(scale=1):
                     gr.HTML("""
@@ -1909,6 +1886,30 @@ def create_beautiful_interface():
                     lines=15
                 )
         
+        # Enhanced examples with cutting-edge domains - placed after results
+        gr.HTML("<h3 style='color: white; margin: 30px 0 15px 0; text-align: center;'>🧬 Try These Cutting-Edge Examples</h3>")
+        gr.Examples(
+            examples=[
+                ["Dock the kinase inhibitor with the phenyl ring parallel to the hinge backbone.", True, True, 256],
+                ["Embed the fluxonium qubit 5 nm above the ground plane, aligned to the Φ = 0.5 Φ₀ sweet spot.", True, True, 256],
+                ["Arrange four THF molecules tetrahedrally around Li⁺, 2.1 Å Li–O distance.", True, True, 256],
+                ["Stack perovskite unit cells along ⟨110⟩ with 2 nm inter-layer gap.", True, True, 256],
+                ["Orient the Pt(111) terrace so CO binds atop, 1.8 Å Pt–C bond length.", True, True, 256],
+                ["Weave carbon nanotubes into a 3D lattice with 60° torsion for negative Poisson ratio.", True, True, 256],
+                ["Shape the magnetic flux surface into a D-shaped cross-section, R = 3.5 m, a = 1.2 m.", True, True, 256],
+                ["Pack the α-helix against the β-sheet at a 35° inter-domain angle.", True, True, 256],
+                ["Place the SQUID loop 10 μm above the Nb stripline, aligned to the magnetic bias line.", True, True, 256],
+                ["Segregate the fullerene domains 5 nm from the polymer backbone in vertical columns.", True, True, 256],
+                ["Define the SN2 trajectory along the C–O bond axis, 180° inversion angle.", True, True, 256],
+                ["Embed Si nanowires in a zig-zag pattern with 20 nm pitch to scatter phonons.", True, True, 256],
+                ["Place the aluminum bracket flush against the jig, 5 cm left of the drill bit.", True, True, 256],
+                ["Shift the electronics pallet three bays toward aisle C, top tier only.", True, True, 256],
+                ["Float the navy couch 30 cm from the bay window, facing the TV.", True, True, 256]
+            ],
+            inputs=[text_input, enable_geometry, show_visualization, max_length],
+            label="Click any example above to automatically fill the input and run GASM analysis"
+        )
+        
         # Event handlers
         process_btn.click(
             fn=real_gasm_process_text,