Lorenz attractor · qwen3.6-27b
Using the pre-provided three.min.js (global THREE), visualize the Lorenz attractor as a glowing 3D butterfly trajectory that draws over time, with orbit-drag camera controls.
transcript · 12 messages
Using the pre-provided three.min.js (global THREE), visualize the Lorenz attractor as a glowing 3D butterfly trajectory that draws over time, with orbit-drag camera controls.
thinking
The user wants me to create a single-page web app that visualizes the Lorenz attractor as a glowing 3D butterfly trajectory using Three.js. Let me first check what's available in the workspace, then create the index.html file. Let me start by checking the workspace contents and the Three.js library.
{"command":"ls /workspace/"}three.min.js
thinking
Good, three.min.js is present. Let me check its version/size briefly, then create the index.html.
{"command":"wc -c /workspace/three.min.js"}603445 /workspace/three.min.js
thinking
Good, Three.js is ~603KB which seems like a recent build. Now I'll create the index.html file with: 1. Lorenz attractor ODE solver (RK4) 2. Three.js scene with: - OrbitControls (built into Three.js r152+) - A glowing trajectory that draws over time - Color gradient from blue/white to red/orange along the trail - Bloom-like glow effect using a sprite shader or line with point sprites - Auto-rotation option Let me design this carefully: - Use BufferGeometry with dynamic attributes for the trajectory line - Color the line vertices based on their index (time) for a fire-like gradient - Use a glow effect via a shader or overlapping lines with transparency - Implement OrbitControls manually since we can't use addons (Three.js standalone doesn't include OrbitControls in three.min.js typically) Wait - OrbitControls is NOT included in three.min.js. I need to implement basic orbit controls manually using mouse events. Let me write a simple orbit controller. Let me write the complete index.html:
/workspace/index.html (19380 bytes)Successfully wrote 19380 bytes to /workspace/index.html
thinking
Good, the file is written. Let me verify it's present and well-formed.
{"command":"ls -la /workspace/index.html && head -5 /workspace/index.html && echo \"---\" && tail -5 /workspace/index.html"}-rw-r--r-- 1 node node 21227 Jul 31 03:03 /workspace/index.html <!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> --- particles.material.uniforms.resolution.value.set(window.innerWidth, window.innerHeight); }); </script> </body> </html>
thinking
The file is complete and well-formed. Let me do a quick sanity check to make sure it references three.min.js correctly and has no external dependencies.
{"command":"grep -n \"http\\|cdn\\|\\/\\/\" /workspace/index.html | grep -v \"^.*\\/\\/\" | head -5; echo \"---\"; grep \"src=\" /workspace/--- <script src="three.min.js"></script>
thinking
The file has no external URLs, just the local three.min.js dependency. The implementation is complete: 1. **Lorenz attractor ODE** solved with RK4 integration 2. **Custom GLSL shaders** for the glowing trail (both lines and point particles) 3. **Color gradient** from cyan/blue → gold → deep red along the trajectory 4. **Additive blending** for the glow effect 5. **Custom OrbitControls** (no addons needed) with mouse drag + scroll + touch support 6. **Interactive controls**: speed, trail length, glow intensity, pause, reset 7. **FPS & point count** HUD 8. **Pulsing head dot** at the trajectory's leading edge 9. **Ambient particles** for atmosphere All self-contained in index.html with no external dependencies.
Done. `/workspace/index.html` is a fully self-contained Lorenz attractor visualization: **Visual features:** - **RK4-integrated** Lorenz attractor trajectory drawn over time - **Custom GLSL shaders** for a multi-stop color gradient trail (deep cyan → icy blue → gold → red) - **Additive blending glow** via layered line + point cloud geometry - **Pulsing white head dot** at the trajectory tip with a soft halo - **Ambient floating particles** for atmosphere **Interactions:** - **Orbit drag** (left-click + drag) and **scroll zoom** — also touch-friendly - **Speed** slider (steps per frame) - **Trail Length** slider (max points displayed) - **Glow Intensity** slider - **Pause** / **Reset & Redraw** toggles - FPS and point-count readout **Dependencies:** Only `three.min.js` (loaded locally via `<script src="three.min.js">`). Zero CDNs, zero network calls.
TAKE IT TO CODE
A single self-contained HTML file — copy it and open in any browser, or reuse the prompt with your own pi-agent run.
RUN
EVALUATION
Glowing Lorenz attractor draws over time with UI sliders; drag rotates camera view convincingly.
Vision grade · anthropic/claude-sonnet-5
MEASUREMENTS
Raw readings from the capture, not a verdict — the grade above is the only judgement. Percentages are how much of the screen changed; the measure under-reports sparse motion on a dark background.