Lorenz attractor · muse-ember
Output generated Cost / run $0.0165 Runtime 51.9s
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.
METRICS
Transcript · 33 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
{"command":"pwd; ls -la; head -c 500 three.min.js; echo; grep -o 'VERSION[^,]*' three.min.js | head"}/tmp/job-Y5p9Rv total 604 drwx------ 3 node node 4096 Nov 10 01:05 . drwxrwxrwt 8 root root 4096 Nov 10 01:05 .. drwxr-xr-x 3 node node 4096 Nov 10 01:05 .home -rw-r--r-- 1 node node 603445 Nov 10 01:05 three.min.js /** * @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
thinking
Designing a bounded-storage Three r128 Lorenz attractor with RK4 integration, progressive luminous trajectory, camera controls, and pause/reset using preallocated BufferGeometry.Extending the design with circular-buffer compaction, custom orbit controls, and luminous vertex-colored rendering.
index.html (16233 bytes)Successfully wrote to index.html
thinking
{"action":"inspect"}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: [.WebGL-0x24640017da00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x24640017da00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x24640017da00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x24640017da00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"🦋 Lorenz Attractor\n\nσ = 10, ρ = 28, β = 8/3 · start (0.1, 0, 0)\nThe trajectory is integrated live with RK4 (dt = 0.005).\n\n⏸ Pause\n↺ Reset\nSpeed\n1.0×\nTime\n0.09\nPoints\n11\nStatus\nRunning\nBuffer\n11 / 20000\nPosition\n(0.11, 0.21, 0.00)\nDrag to orbit · Scroll / pinch to zoom · Right-drag to pan\ntrail colour by height (z)","images":"attached"}
thinking
{"path":"index.html","edits":[{"oldText":" stepBudget += elapsed * 60 * speed; // ~steps-per-frame at 60fps","newText":" stepBudgeSuccessfully replaced 1 block(s) in index.html.
{"action":"reload"}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"🦋 Lorenz Attractor\n\nσ = 10, ρ = 28, β = 8/3 · start (0.1, 0, 0)\nThe trajectory is integrated live with RK4 (dt = 0.005).\n\n⏸ Pause\n↺ Reset\nSpeed\n1.0×\nTime\n0.86\nPoints\n87\nStatus\nRunning\nBuffer\n87 / 20000\nPosition\n(-5.63, -8.32, 26.63)\nDrag to orbit · Scroll / pinch to zoom · Right-drag to pan\ntrail colour by height (z)","images":"attached"}
thinking
{"action":"inspect"}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"🦋 Lorenz Attractor\n\nσ = 10, ρ = 28, β = 8/3 · start (0.1, 0, 0)\nThe trajectory is integrated live with RK4 (dt = 0.005).\n\n⏸ Pause\n↺ Reset\nSpeed\n1.0×\nTime\n6.61\nPoints\n667\nStatus\nRunning\nBuffer\n667 / 20000\nPosition\n(-8.64, -10.34, 24.78)\nDrag to orbit · Scroll / pinch to zoom · Right-drag to pan\ntrail colour by height (z)","images":"attached"}
thinking
{"action":"drag","x":700,"y":400,"toX":900,"toY":280}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"🦋 Lorenz Attractor\n\nσ = 10, ρ = 28, β = 8/3 · start (0.1, 0, 0)\nThe trajectory is integrated live with RK4 (dt = 0.005).\n\n⏸ Pause\n↺ Reset\nSpeed\n1.0×\nTime\n14.63\nPoints\n1476\nStatus\nRunning\nBuffer\n1476 / 20000\nPosition\n(-4.93, -1.93, 27.21)\nDrag to orbit · Scroll / pinch to zoom · Right-drag to pan\ntrail colour by height (z)","images":"attached"}
thinking
{"action":"click","x":66,"y":130}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"🦋 Lorenz Attractor\n\nσ = 10, ρ = 28, β = 8/3 · start (0.1, 0, 0)\nThe trajectory is integrated live with RK4 (dt = 0.005).\n\n▶ Resume\n↺ Reset\nSpeed\n1.0×\nTime\n22.36\nPoints\n2257\nStatus\nPaused\nBuffer\n2257 / 20000\nPosition\n(-13.08, -16.13, 29.55)\nDrag to orbit · Scroll / pinch to zoom · Right-drag to pan\ntrail colour by height (z)","images":"attached"}
thinking
{"action":"drag","x":700,"y":400,"toX":500,"toY":380}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"🦋 Lorenz Attractor\n\nσ = 10, ρ = 28, β = 8/3 · start (0.1, 0, 0)\nThe trajectory is integrated live with RK4 (dt = 0.005).\n\n▶ Resume\n↺ Reset\nSpeed\n1.0×\nTime\n22.36\nPoints\n2257\nStatus\nPaused\nBuffer\n2257 / 20000\nPosition\n(-13.08, -16.13, 29.55)\nDrag to orbit · Scroll / pinch to zoom · Right-drag to pan\ntrail colour by height (z)","images":"attached"}
thinking
{"action":"click","x":173,"y":130}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2eb40017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"🦋 Lorenz Attractor\n\nσ = 10, ρ = 28, β = 8/3 · start (0.1, 0, 0)\nThe trajectory is integrated live with RK4 (dt = 0.005).\n\n▶ Resume\n↺ Reset\nSpeed\n1.0×\nTime\n0.00\nPoints\n1\nStatus\nPaused\nBuffer\n1 / 20000\nPosition\n(0.10, 0.00, 0.00)\nDrag to orbit · Scroll / pinch to zoom · Right-drag to pan\ntrail colour by height (z)","images":"attached"}
thinking
{"path":"index.html","edits":[{"oldText":" pushPoint(state.x, state.y, state.z);\n updateStats();","newText":" pushPoint(state.x, sSuccessfully replaced 1 block(s) in index.html.
{"action":"reload"}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: [.WebGL-0x32ac00126000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32ac00126000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32ac00126000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32ac00126000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"🦋 Lorenz Attractor\n\nσ = 10, ρ = 28, β = 8/3 · start (0.1, 0, 0)\nThe trajectory is integrated live with RK4 (dt = 0.005).\n\n⏸ Pause\n↺ Reset\nSpeed\n1.0×\nTime\n0.77\nPoints\n78\nStatus\nRunning\nBuffer\n78 / 20000\nPosition\n(-1.41, -9.05, 30.42)\nDrag to orbit · Scroll / pinch to zoom · Right-drag to pan\ntrail colour by height (z)","images":"attached"}
thinking
{"action":"click","x":173,"y":130}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: [.WebGL-0x32ac00126000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32ac00126000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32ac00126000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32ac00126000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"🦋 Lorenz Attractor\n\nσ = 10, ρ = 28, β = 8/3 · start (0.1, 0, 0)\nThe trajectory is integrated live with RK4 (dt = 0.005).\n\n⏸ Pause\n↺ Reset\nSpeed\n1.0×\nTime\n0.40\nPoints\n42\nStatus\nRunning\nBuffer\n42 / 20000\nPosition\n(4.15, 8.96, 1.44)\nDrag to orbit · Scroll / pinch to zoom · Right-drag to pan\ntrail colour by height (z)","images":"attached"}
thinking
{"action":"scroll","x":700,"y":400,"delta":-600}Frame 1, +1ms
[Browser image supplied to model]
{"console":["warning: [.WebGL-0x32ac00126000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32ac00126000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32ac00126000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32ac00126000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"🦋 Lorenz Attractor\n\nσ = 10, ρ = 28, β = 8/3 · start (0.1, 0, 0)\nThe trajectory is integrated live with RK4 (dt = 0.005).\n\n⏸ Pause\n↺ Reset\nSpeed\n1.0×\nTime\n7.28\nPoints\n745\nStatus\nRunning\nBuffer\n745 / 20000\nPosition\n(-9.44, -11.08, 26.00)\nDrag to orbit · Scroll / pinch to zoom · Right-drag to pan\ntrail colour by height (z)","images":"attached"}
thinking
{"command":"ls -lh index.html three.min.js && grep -n \"http\\|cdn\\|import\" index.html || echo \"no external refs\""}-rw-r--r-- 1 node node 16K Nov 10 01:06 index.html -rw-r--r-- 1 node node 590K Nov 10 01:05 three.min.js no external refs
thinking
Built the 3D Lorenz attractor visualization in `index.html` (self-contained, using local `three.min.js` via `<script src="three.min.js">`, no external assets/CDNs). **Implementation:** - **Simulation:** Lorenz system σ=10, ρ=28, β=8/3, initial state (0.1, 0, 0), integrated with RK4 at dt = 0.005 (fixed-step, ~9 steps/frame at 1× speed, adjustable via Speed slider). - **Trail:** Preallocated bounded buffer (20,000 points; oldest half discarded via `copyWithin` when full, so storage never grows). Luminous additive-blended line + glow points on the same buffer, colored by height z (cyan → blue → magenta → orange), plus a glowing head marker and a soft halo sprite. A faint bounding box frames the attractor's full extent initially. - **Camera (no addons):** Custom spherical orbit controls — drag to orbit, wheel/pinch to zoom (radius clamped 42–150 so it can't enter the geometry), right-drag/shift-drag to pan (clamped near the attractor), z-up orientation for the classic butterfly view. - **UI:** Pause/Resume (also Space), Reset (also R) which clears the trail, restores the initial state and resumes growth, plus live stats (time, points, buffer, position, status). **Checked in the browser:** - ✅ Trajectory grows progressively and revealed the two-lobed butterfly shape (visible at t≈22). - ✅ Drag-orbiting changed the view while the existing trail remained connected and visible. - ✅ Pause froze growth exactly (Time 22.36 / Points 2257 unchanged) while a drag still orbited the camera. - ✅ Reset cleared the trail to 1 point at (0.10, 0.00, 0.00), then the trail restarted growing from the initial state. - ✅ Console: only benign WebGL ReadPixels performance warnings; no errors. **Unverified:** Wheel-zoom via the browser tool's scroll action produced no clearly visible change in the captured frame (handler is implemented and clamped, but not conclusively confirmed), and long-run buffer wraparound (20k points) was not exercised — the compaction code path is present but untested in-session.