Lorenz attractor · glm-5.3-flash
Output generated Cost / run $0.0013 Runtime 106.2s
Prompt for this run
Build a 3D Lorenz-attractor visualization using the provided Three.js library. Use HTML, CSS, and JavaScript as needed. Write it to `index.html` in the current working directory using your file tools. Inline your own CSS and JavaScript. Do not use external assets, CDNs, or network requests. Use the provided `three.min.js` (global `THREE`) through a plain local script tag; the runner will inline it into the final artifact. Required behavior: - Integrate the Lorenz system with sigma = 10, rho = 28, beta = 8/3, and initial state (0.1, 0, 0). Use a stable numerical time step. - Draw a luminous-looking, colored trajectory progressively as the system evolves, revealing its two-lobed butterfly shape. Keep trajectory storage bounded; actual bloom postprocessing is optional. - Frame the full attractor initially. Dragging orbits the camera around it, and the mouse wheel changes camera distance without entering the geometry. - Provide Pause/Resume and Reset. Pause freezes trajectory growth while camera controls remain usable; Reset clears the trail and restores the initial simulation state. - Only the core global THREE library is provided. Implement camera interaction without importing unavailable addons. Verify: Sample trajectory growth, orbit the camera, and check that the existing trail remains connected and visible from the new angle. Pause growth while moving the camera, then reset and check that the trail starts again from the initial state.
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
METRICS
Transcript · 17 messages
Build a 3D Lorenz-attractor visualization using the provided Three.js library. Use HTML, CSS, and JavaScript as needed. Write it to `index.html` in the current working directory using your file tools. Inline your own CSS and JavaScript. Do not use external assets, CDNs, or network requests. Use the provided `three.min.js` (global `THREE`) through a plain local script tag; the runner will inline it into the final artifact. Required behavior: - Integrate the Lorenz system with sigma = 10, rho = 28, beta = 8/3, and initial state (0.1, 0, 0). Use a stable numerical time step. - Draw a luminous-looking, colored trajectory progressively as the system evolves, revealing its two-lobed butterfly shape. Keep trajectory storage bounded; actual bloom postprocessing is optional. - Frame the full attractor initially. Dragging orbits the camera around it, and the mouse wheel changes camera distance without entering the geometry. - Provide Pause/Resume and Reset. Pause freezes trajectory growth while camera controls remain usable; Reset clears the trail and restores the initial simulation state. - Only the core global THREE library is provided. Implement camera interaction without importing unavailable addons. Verify: Sample trajectory growth, orbit the camera, and check that the existing trail remains connected and visible from the new angle. Pause growth while moving the camera, then reset and check that the trail starts again from the initial state.
thinking
Write a self-contained index.html with three.min.js local script, custom orbit controls, Lorenz integration, line trail with fading colors, reset/pause buttons.
index.html (6696 bytes)Successfully wrote to index.html
{"action":"screenshot"}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Pause Reset\ndrag: orbit | wheel: zoom","images":"attached"}
thinking
The colored trail isn't drawing (head white point visible, faint points visible). The Line with drawRange 0 initially — vCount starts at 0 then pushPoint increments to 1. Line with 1 vertex invisible; should grow. Trail seems missing. Possibly the trail is drawn but tiny/dark? The faint points are visible but line not. Maybe line geometry drawRange works... Let me wait and screenshot to see growth. Also color brightness: additive LineBasicMaterial with colors 0.5-1 should be bright. Hmm, maybe the line is drawn but the head at (0.035,0.035,-?) far from faint dots? Actually head white square is visible. The trail line from initial (0.1,0,0) mapped near origin — should go toward attractor. After a few frames of 8 substeps, few points. Let it run then screenshot.
The trail hasn't grown much yet — let it run and re-check.
{"command":"sleep 4"}(no output)
{"action":"screenshot"}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Pause Reset\ndrag: orbit | wheel: zoom","images":"attached"}
thinking
Trail grows and looks colored. Good. Test pause + orbit + reset.
Trail grows nicely. Now test pause, orbit, and reset.
{"action":"click","x":48,"y":27}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Resume Reset\ndrag: orbit | wheel: zoom","images":"attached"}
thinking
Paused (button shows Resume). Now orbit drag and screenshot.
Paused. Now drag to orbit while paused.
{"action":"drag","toX":850,"toY":400,"x":600,"y":400}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Resume Reset\ndrag: orbit | wheel: zoom","images":"attached"}
thinking
Camera orbited, trail intact and connected. Now test reset while paused, then screenshot.
Orbit works while paused, trail intact. Now test Reset.
{"action":"click","x":143,"y":27}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x50c0017b600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Pause Reset\ndrag: orbit | wheel: zoom","images":"attached"}
thinking
Reset works: trail cleared, head restarted, simulation running again (trail regrowing). Wheel zoom not directly testable via browser tool easily but code is standard. Done. Report.
All checks pass. `index.html` is complete. **Implementation:** self-contained HTML with local `three.min.js` script tag. RK4 integration (σ=10, ρ=28, β=8/3, h=0.004, 8 substeps/frame), colored line trail with additive blending, bounded buffer (wrap-shifts at 20k points), bright white head marker, custom spherical orbit/zoom controls (no addons), faint pre-warmed attractor ghost points, Pause/Reset buttons. **Verified in browser:** - Trail progressively grows from (0.1, 0, 0) and draws the two-lobed butterfly attractor with cycling colors, fully framed. - Pause button toggles to "Resume"; trajectory froze (head static). - Drag-orbit while paused works — trail remained connected and visible from the new angle. - Reset cleared the trail and restarted growth from the initial state (visible regrowing immediately). **Unverified:** mouse-wheel zoom (no wheel event available via the browser tool) and long-run buffer wrap behavior — both are straightforward code paths but not exercised here.