Lorenz attractor · muse-spark-1.3
Output generated Cost / run $0.2252 Runtime 154.6s
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 · 37 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
Building your Lorenz attractor — luminous trail, orbit controls, and pause/reset.
{"command":"ls -la; ls -lh three.min.js 2>&1 | head"}total 604 drwx------ 3 node node 4096 Oct 9 06:44 . drwxrwxrwt 6 root root 4096 Oct 9 06:44 .. drwxr-xr-x 3 node node 4096 Oct 9 06:44 .home -rw-r--r-- 1 node node 603445 Oct 9 06:44 three.min.js -rw-r--r-- 1 node node 590K Oct 9 06:44 three.min.js
thinking
Designing Lorenz attractor rendering with RK4 integration, bounded trajectory buffer, and adjustable steps per frame for stability.Implementing a rolling buffer with color gradient and glow using line and point primitives.
Framing the butterfly and wiring the physics — writing the full scene now.
index.html (16979 bytes)Successfully wrote to index.html
thinking
{"action":"reload"}Frame 1, +1ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x3ce400171a00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x3ce400171a00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x3ce400171a00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x3ce400171a00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Lorenz Attractor 🦋 3D\nsigma = 10, rho = 28, beta = 8/3 · RK4 integration\nDrag to orbit · Wheel / pinch to zoom\nσ 10\nρ 28\nβ 2.667\n⏸ Pause\n↺ Reset\nTrail speed\nmedium\npoints 2,201 / 26,000 · t = 17.60\nstate (2.10, -0.85, 25.26)\nRUNNING\n🖱 drag = orbit · wheel = zoom · right-drag = pan · double-click = reframe","images":"attached"}
thinking
Resolving DOM and screenshot point count mismatch and adjusting initial camera framing for the attractor.Reorienting coordinate mapping to align attractor height with the vertical axis and recenter the camera target.
Early trail looks good but framing is off — I'll fix the orientation so the butterfly stands upright.
{"edits":[{"newText":" // Map Lorenz (x,y,z) -> Three (x, z-height=y, depth=y) so \"z\" is up (Three Y).\n var target = new THREE.Vector3(Successfully replaced 3 block(s) in index.html.
{"edits":[{"newText":" var grid = new THREE.GridHelper(100, 20, 0x27407a, 0x131c3a);\n grid.position.y = 0;\n grid.material.transparent =Successfully replaced 3 block(s) in index.html.
thinking
{"edits":[{"newText":" target.x = Math.max(-40, Math.min(40, target.x));\n target.y = Math.max(-10, Math.min(60, target.y));\nSuccessfully replaced 1 block(s) in index.html.
{"action":"reload"}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x35c00179e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x35c00179e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x35c00179e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x35c00179e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Lorenz Attractor 🦋 3D\nsigma = 10, rho = 28, beta = 8/3 · RK4 integration\nDrag to orbit · Wheel / pinch to zoom\nσ 10\nρ 28\nβ 2.667\n⏸ Pause\n↺ Reset\nTrail speed\nmedium\npoints 2,201 / 26,000 · t = 17.60\nstate (2.10, -0.85, 25.26)\nRUNNING\n🖱 drag = orbit · wheel = zoom · right-drag = pan · double-click = reframe","images":"attached"}
thinking
Balancing pre-roll length to show the full butterfly initially while keeping progressive growth of the trail.Replacing the solid sprite with a procedural radial-gradient texture and adjusting grid scale and opacity.
Orientation fixed — now I'll soften that blocky head glow and run the full verification pass.
{"edits":[{"newText":" function makeGlowTexture(){\n var c = document.createElement('canvas'); c.width=c.height=128;\n var g = c.getCSuccessfully replaced 1 block(s) in index.html.
{"action":"reload"}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Lorenz Attractor 🦋 3D\nsigma = 10, rho = 28, beta = 8/3 · RK4 integration\nDrag to orbit · Wheel / pinch to zoom\nσ 10\nρ 28\nβ 2.667\n⏸ Pause\n↺ Reset\nTrail speed\nmedium\npoints 2,201 / 26,000 · t = 17.60\nstate (2.10, -0.85, 25.26)\nRUNNING\n🖱 drag = orbit · wheel = zoom · right-drag = pan · double-click = reframe","images":"attached"}
thinking
{"action":"screenshot"}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Lorenz Attractor 🦋 3D\nsigma = 10, rho = 28, beta = 8/3 · RK4 integration\nDrag to orbit · Wheel / pinch to zoom\nσ 10\nρ 28\nβ 2.667\n⏸ Pause\n↺ Reset\nTrail speed\nmedium\npoints 11,301 / 26,000 · t = 90.40\nstate (-10.75, -4.86, 35.61)\nRUNNING\n🖱 drag = orbit · wheel = zoom · right-drag = pan · double-click = reframe","images":"attached"}
thinking
Growth confirmed — the butterfly filled in beautifully. Now checking the camera orbit.
{"action":"drag","x":600,"y":400,"toX":900,"toY":300}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Lorenz Attractor 🦋 3D\nsigma = 10, rho = 28, beta = 8/3 · RK4 integration\nDrag to orbit · Wheel / pinch to zoom\nσ 10\nρ 28\nβ 2.667\n⏸ Pause\n↺ Reset\nTrail speed\nmedium\npoints 17,601 / 26,000 · t = 140.80\nstate (1.50, 2.56, 12.19)\nRUNNING\n🖱 drag = orbit · wheel = zoom · right-drag = pan · double-click = reframe","images":"attached"}
thinking
Orbit works and the trail stays connected. Testing pause and reset next.
{"action":"click","x":108,"y":144}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Lorenz Attractor 🦋 3D\nsigma = 10, rho = 28, beta = 8/3 · RK4 integration\nDrag to orbit · Wheel / pinch to zoom\nσ 10\nρ 28\nβ 2.667\n▶ Resume\n↺ Reset\nTrail speed\nmedium\npoints 23,831 / 26,000 · t = 190.64\nstate (-14.19, -17.88, 30.55)\nPAUSED\n🖱 drag = orbit · wheel = zoom · right-drag = pan · double-click = reframe","images":"attached"}
thinking
{"action":"drag","x":600,"y":400,"toX":350,"toY":500}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Lorenz Attractor 🦋 3D\nsigma = 10, rho = 28, beta = 8/3 · RK4 integration\nDrag to orbit · Wheel / pinch to zoom\nσ 10\nρ 28\nβ 2.667\n▶ Resume\n↺ Reset\nTrail speed\nmedium\npoints 23,831 / 26,000 · t = 190.64\nstate (-14.19, -17.88, 30.55)\nPAUSED\n🖱 drag = orbit · wheel = zoom · right-drag = pan · double-click = reframe","images":"attached"}
thinking
Pause holds the trail steady while orbiting — now verifying reset.
{"action":"click","x":242,"y":144}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Lorenz Attractor 🦋 3D\nsigma = 10, rho = 28, beta = 8/3 · RK4 integration\nDrag to orbit · Wheel / pinch to zoom\nσ 10\nρ 28\nβ 2.667\n▶ Resume\n↺ Reset\nTrail speed\nmedium\npoints 1 / 26,000 · t = 0.00\nstate (0.10, 0.00, 0.00)\nPAUSED\n🖱 drag = orbit · wheel = zoom · right-drag = pan · double-click = reframe","images":"attached"}
thinking
{"action":"click","x":108,"y":144}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x28840017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Lorenz Attractor 🦋 3D\nsigma = 10, rho = 28, beta = 8/3 · RK4 integration\nDrag to orbit · Wheel / pinch to zoom\nσ 10\nρ 28\nβ 2.667\n⏸ Pause\n↺ Reset\nTrail speed\nmedium\npoints 211 / 26,000 · t = 1.68\nstate (-8.95, -9.91, 26.28)\nRUNNING\n🖱 drag = orbit · wheel = zoom · right-drag = pan · double-click = reframe","images":"attached"}
thinking
Evaluating camera reframing tradeoffs for initial attractor view versus current side angle state.
All behaviors check out — one last tweak to keep the zoom from clipping into the wings.
{"edits":[{"newText":" var MIN_R = 28, MAX_R = 220;","oldText":" var MIN_R = 14, MAX_R = 220;"}],"path":"index.html"}Successfully replaced 1 block(s) in index.html.
{"action":"reload"}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x18a40016a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x18a40016a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x18a40016a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x18a40016a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Lorenz Attractor 🦋 3D\nsigma = 10, rho = 28, beta = 8/3 · RK4 integration\nDrag to orbit · Wheel / pinch to zoom\nσ 10\nρ 28\nβ 2.667\n⏸ Pause\n↺ Reset\nTrail speed\nmedium\npoints 2,201 / 26,000 · t = 17.60\nstate (2.10, -0.85, 25.26)\nRUNNING\n🖱 drag = orbit · wheel = zoom · right-drag = pan · double-click = reframe","images":"attached"}
thinking
Done — `index.html` is complete and verified in the browser with no console errors. **What was built** (single self-contained `index.html`, local `<script src="three.min.js">`, no network): - Lorenz integration with σ=10, ρ=28, β=8/3 from (0.1, 0, 0) using RK4 at dt=0.008 (~70 steps/frame, adjustable speed). - Luminous progressive trail: one continuous additive-blended `THREE.Line` + glow points with flowing rainbow vertex colors, plus a glowing head marker; storage bounded at 26,000 points (oldest dropped in chunks). - Custom orbit controls (no addons): drag orbits, wheel/pinch zooms clamped to [28, 220] so the camera can't enter the geometry, right-drag pans, double-click reframes. Initial camera targets (0, 25, 0) framing the full attractor. - Pause/Resume and Reset buttons (+ Space/R shortcuts and status readout). **Actually checked:** - Trajectory growth: 2,201 → 11,301 → 17,601 pts, butterfly's two lobes clearly emerging and coloring correctly. - Orbit: dragged to a face-on and then a side view — trail stayed connected and visible from the new angles. - Pause: clicked Pause (badge → PAUSED), dragged the camera — point count/time frozen at 23,831 / t=190.64 while orbiting worked. - Reset: clicked Reset — trail cleared (1 pt, t=0.00, state 0.10, 0.00, 0.00); resumed and confirmed the trail regrows from the initial state. **Remains unverified:** mouse-wheel zoom deltas and two-finger pinch (no wheel/pinch input available in the test harness — clamping logic is in place but unexercised), and very-long-run bounded-storage rollover (grew to ~24k of 26k cap but didn't cross the drop-oldest path during checks).