Lorenz attractor · mercury-3
Output generated Cost / run $0.0124 Runtime 75.8s
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 · 51 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.
{"command":"ls -la /tmp/job-7mBdeK/"}total 604 drwx------ 3 node node 4096 Oct 23 09:53 . drwxrwxrwt 8 root root 4096 Oct 23 09:53 .. drwxr-xr-x 3 node node 4096 Oct 23 09:53 .home -rw-r--r-- 1 node node 603445 Oct 23 09:53 three.min.js
{"command":"head -c 500 /tmp/job-7mBdeK/three.min.js; echo; grep -o \"REVISION[^,]*\" /tmp/job-7mBdeK/three.min.js | head -3"}/** * @license * Copyright 2010-2021 Three.js Authors * SPDX-License-Identifier: MIT */ !function(t,e){"object"==typeof exports&&"undefined"!=typeof module?e(exports):"function"==typeof define&&define.amd?define(["exports"],e):e((t="undefined"!=typeof globalThis?globalThis:t||self).THREE={})}(this,(function(t){"use strict";const e="128",n=100,i=300,r=301,s=302,a=303,o=304,l=306,c=307,h=1e3,u=1001,d=1002,p=1003,m=1004,f=1005,g=1006,v=1007,y=1008,x=1009,_=1012,w=1014,b=1015,M=1016,S=1020,T=102 REVISION=e
/tmp/job-7mBdeK/index.html (11617 bytes)Successfully wrote to /tmp/job-7mBdeK/index.html
Now let me run it in the browser and inspect the initial state and console.
{"action":"reload"}{"console":["warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels"],"dom":"LORENZ ATTRACTOR\nσ = 10 · ρ = 28 · β = 8/3\npoints 0 · t 0.00\ndrag to orbit · scroll to zoom\n⏸ Pause\n↺ Reset","images":"model does not support images"}
{"action":"screenshot"}{"console":["warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"LORENZ ATTRACTOR\nσ = 10 · ρ = 28 · β = 8/3\npoints 236 · t 3.0\ndrag to orbit · scroll to zoom\n⏸ Pause\n↺ Reset","images":"model does not support images"}
{"action":"inspect"}{"console":["warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"LORENZ ATTRACTOR\nσ = 10 · ρ = 28 · β = 8/3\npoints 393 · t 4.9\ndrag to orbit · scroll to zoom\n⏸ Pause\n↺ Reset","images":"model does not support images"}
{"action":"click","x":580,"y":772}{"console":["warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"LORENZ ATTRACTOR\nσ = 10 · ρ = 28 · β = 8/3\npoints 553 · t 6.9\ndrag to orbit · scroll to zoom\n▶ Resume\n↺ Reset","images":"model does not support images"}
{"command":"sleep 3"}(no output)
{"action":"inspect"}{"console":["warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"LORENZ ATTRACTOR\nσ = 10 · ρ = 28 · β = 8/3\npoints 585 · t 7.3 · paused\ndrag to orbit · scroll to zoom\n▶ Resume\n↺ Reset","images":"model does not support images"}
{"action":"drag","x":600,"y":400,"toX":700,"toY":450}{"console":["warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"LORENZ ATTRACTOR\nσ = 10 · ρ = 28 · β = 8/3\npoints 585 · t 7.3 · paused\ndrag to orbit · scroll to zoom\n▶ Resume\n↺ Reset","images":"model does not support images"}
{"action":"scroll","x":600,"y":400,"delta":240}{"console":["warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"LORENZ ATTRACTOR\nσ = 10 · ρ = 28 · β = 8/3\npoints 585 · t 7.3 · paused\ndrag to orbit · scroll to zoom\n▶ Resume\n↺ Reset","images":"model does not support images"}
{"action":"click","x":580,"y":772}{"console":["warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"LORENZ ATTRACTOR\nσ = 10 · ρ = 28 · β = 8/3\npoints 585 · t 7.3 · paused\ndrag to orbit · scroll to zoom\n⏸ Pause\n↺ Reset","images":"model does not support images"}
{"command":"sleep 3"}(no output)
{"action":"inspect"}{"console":["warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"LORENZ ATTRACTOR\nσ = 10 · ρ = 28 · β = 8/3\npoints 1,398 · t 17.5\ndrag to orbit · scroll to zoom\n⏸ Pause\n↺ Reset","images":"model does not support images"}
{"action":"click","x":665,"y":772}{"console":["warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x22ec0017fe00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"LORENZ ATTRACTOR\nσ = 10 · ρ = 28 · β = 8/3\npoints 1,798 · t 22.5\ndrag to orbit · scroll to zoom\n⏸ Pause\n↺ Reset","images":"model does not support images"}
{"path":"/tmp/job-7mBdeK/index.html","edits":[{"oldText":" // initial HUD\n statusEl.textContent = 'points 0 · t 0.00';","newText":" Successfully replaced 1 block(s) in /tmp/job-7mBdeK/index.html.
{"action":"reload"}{"console":["warning: [.WebGL-0x13e400118e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x13e400118e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x13e400118e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels"],"dom":"LORENZ ATTRACTOR\nσ = 10 · ρ = 28 · β = 8/3\nP[500,745,98] R[610,745,90]\ndrag to orbit · scroll to zoom\n⏸ Pause\n↺ Reset","images":"model does not support images"}
{"action":"click","x":655,"y":763}{"console":["warning: [.WebGL-0x13e400118e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x13e400118e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x13e400118e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x13e400118e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"LORENZ ATTRACTOR\nσ = 10 · ρ = 28 · β = 8/3\npoints 787 · t 9.8\ndrag to orbit · scroll to zoom\n⏸ Pause\n↺ Reset","images":"model does not support images"}
{"action":"click","x":655,"y":763}{"console":["warning: [.WebGL-0x13e400118e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x13e400118e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x13e400118e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x13e400118e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"LORENZ ATTRACTOR\nσ = 10 · ρ = 28 · β = 8/3\npoints 172 · t 2.1\ndrag to orbit · scroll to zoom\n⏸ Pause\n↺ Reset","images":"model does not support images"}
{"action":"click","x":549,"y":763}{"console":["warning: [.WebGL-0x13e400118e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x13e400118e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x13e400118e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x13e400118e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"LORENZ ATTRACTOR\nσ = 10 · ρ = 28 · β = 8/3\npoints 118 · t 1.5\ndrag to orbit · scroll to zoom\n▶ Resume\n↺ Reset","images":"model does not support images"}
{"path":"/tmp/job-7mBdeK/index.html","edits":[{"oldText":" // initial HUD\n statusEl.textContent = 'points 0 · t 0.00';\n (functionSuccessfully replaced 1 block(s) in /tmp/job-7mBdeK/index.html.
{"action":"reload"}{"console":["warning: [.WebGL-0x398c0017c200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x398c0017c200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x398c0017c200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels"],"dom":"LORENZ ATTRACTOR\nσ = 10 · ρ = 28 · β = 8/3\npoints 0 · t 0.00\ndrag to orbit · scroll to zoom\n⏸ Pause\n↺ Reset","images":"model does not support images"}
{"command":"sleep 8"}(no output)
{"action":"inspect"}{"console":["warning: [.WebGL-0x398c0017c200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x398c0017c200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x398c0017c200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x398c0017c200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"LORENZ ATTRACTOR\nσ = 10 · ρ = 28 · β = 8/3\npoints 2,121 · t 26.5\ndrag to orbit · scroll to zoom\n⏸ Pause\n↺ Reset","images":"model does not support images"}
Done. `index.html` is written to `/tmp/job-7mBdeK/index.html` (single self-contained file, loads `three.min.js` via a plain local `<script src="three.min.js">` tag, no external/CDN resources). **What I built** - **Lorenz integrator**: σ=10, ρ=28, β=8/3, initial state (0.1, 0, 0), classic 4th-order RK4 with dt=0.0125 (stable), advancing at a fixed real-time rate (~2.4 attractor-time-units/sec) independent of frame rate. - **Luminous trail**: pre-allocated 90k-point buffer (storage bounded), drawn as a single connected `THREE.Line` strip with vertex colors that sweep blue→violet→pink across the lobes, additive blending, depth-write off, plus a glowing head marker that rides the current point. - **Framing/controls**: an offline simulation pass computes the true attractor bounds so the camera initially frames the whole butterfly. Custom pointer-based orbit (drag: yaw/pitch with polar clamping) and wheel dolly (radius clamped between safe min/max so the camera never sinks through the geometry) — implemented directly on the renderer element, no addons. - **Pause/Resume + Reset**: pause freezes integration (camera stays interactive); resume continues from the same state; reset clears the trail, restores the initial state, and auto-unpauses. **Verified in the browser (headless)** - Console had no errors (only benign WebGL performance warnings from the harness's screenshot ReadPixels). - Trajectory grows progressively: point count/time advanced across checks (0 → 553 → 2121 …). - Pause froze the count (stayed at 585/7.3 while paused); the camera still orbited (drag) and zoomed (wheel) without errors during pause; Resume made it grow again from 585. - Reset cleared the trail (count dropped to ~172, regrown from t≈2.1) and left it unpaused; growth continues after reload. - The trail is a single continuous polyline, so it inherently stays connected and visible from any orbit angle; `frustumCulled = false` prevents it being culled as the draw range grows. **Unverified**: I could not actually *see* rendered frames (the harness exposed no image support), so the visual aesthetics (additive glow intensity, exact framing margin, color ramp) are asserted from configuration and code paths rather than eyeballed. Behavior verified is functional; a quick human glance at the rendered scene is the only remaining check worth doing.