Lorenz attractor · kimi-k3
Output generated Cost / run $0.0917 Runtime 125.8s
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 · 25 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
Let me check the environment and three.min.js version briefly.
{"command":"ls -la; head -c 300 three.min.js; echo; grep -o 'REVISION=\"[0-9]*\"' three.min.js | head -1"}total 604 drwx------ 3 node node 4096 Oct 14 08:01 . drwxrwxrwt 6 root root 4096 Oct 14 08:01 .. drwxr-xr-x 3 node node 4096 Oct 14 08:01 .home -rw-r--r-- 1 node node 603445 Oct 14 08:01 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={})}(th
thinking
Three r~132ish (2021). Write index.html with Lorenz integration RK4, bounded BufferGeometry trail with colors (HSL gradient by speed or index), custom orbit controls (drag rotate, wheel zoom with min distance), pause/resume/reset buttons. Design: preallocate Float32Array of MAX points (e.g., 60000), draw progressively using setDrawRange, shift when full (drop oldest chunks). Use additive blending LineBasicMaterial with vertexColors. Head point glowing sprite. Line strip connectivity: shifting buffer keeps connected since it's just sliding window. Use geometry.attributes.position.needsUpdate = true. Colors: color per vertex based on speed (map to hue), precomputed per point. Camera: initial position framing attractor: Lorenz coords centered at (0,0,27); scale maybe keep raw, position camera at (0,-90,50) looking at center. Use spherical orbit: theta, phi, radius; wheel radius *= factor clamped [20, 400]... "without entering the geometry" — min radius like 30. Integration: RK4 dt=0.005, multiple steps per frame (e.g., 8 steps/frame). Write points each step. Bounded storage: MAX = 60000. When exceeding, shift arrays left by chunk (memmove via copyWithin) — do when full: copyWithin(0, shift). Fine. Update drawRange each frame. needsUpdate on full buffer is fine. Buttons styling, HUD. Also handle resize. Let me write it.
Three.js r130s (2021 build, global `THREE`). Writing the app:
/tmp/job-Es4UEs/index.html (9178 bytes)Successfully wrote to /tmp/job-Es4UEs/index.html
{"action":"reload"}Frame 1, +1ms
[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-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]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 · x₀=(0.1, 0, 0)\nPause\nReset\npoints: 140 · t = 0.56\ndrag to orbit · wheel to zoom","images":"attached"}
thinking
Renders, trajectory starting. Let it run and take a screenshot later to see butterfly. Take a motion/screenshot after some seconds.
It's running. Let me let it evolve, then check the butterfly shape and test orbit/zoom/pause/reset.
{"command":"sleep 6"}(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-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]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 · x₀=(0.1, 0, 0)\nPause\nReset\npoints: 5830 · t = 23.32\ndrag to orbit · wheel to zoom","images":"attached"}
thinking
Trajectory is growing (5830 points), forming lobes. Butterfly shape emerging. Initial view: attractor occupies upper-middle area — center seems slightly off-screen-center but fine; actually the initial frame looks reasonable (lobe at bottom-left partly low). The target center is (0,0,27); radius 110, phi 1.15 — looks okay, maybe slightly high. It framed decently. Let me test drag orbit and check connectivity from new angle.
Butterfly shape emerging. Now test orbit drag and wheel zoom.
{"action":"drag","x":600,"y":400,"toX":900,"toY":250}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-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]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 · x₀=(0.1, 0, 0)\nPause\nReset\npoints: 8180 · t = 32.72\ndrag to orbit · wheel to zoom","images":"attached"}
thinking
Orbit works; trail remains connected and visible from new angle. Now test wheel zoom (scroll), then pause, move camera, verify points frozen, then reset.
Orbit works, trail connected from new angle. Test wheel zoom, then Pause + orbit while paused.
{"action":"scroll","delta":-600}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-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]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 · x₀=(0.1, 0, 0)\nPause\nReset\npoints: 9440 · t = 37.76\ndrag to orbit · wheel to zoom","images":"attached"}
thinking
Zoom works — closer view, beautiful butterfly. Now test Pause: click Pause button, then drag, verify point count frozen, then Reset and check restart from initial state.
Zoom works, butterfly looks great. Now Pause, orbit while paused, then Reset.
{"action":"click","x":62,"y":88}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-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]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 · x₀=(0.1, 0, 0)\nResume\nReset\npoints: 10240 · t = 40.96 · PAUSED\ndrag to orbit · wheel to zoom","images":"attached"}
thinking
Paused at 10240 points, t=40.96. Head froze. Now drag while paused and verify points stay at 10240 and camera moves.
Paused at 10240 points. Drag while paused:
{"action":"drag","x":600,"y":400,"toX":300,"toY":550}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-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]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 · x₀=(0.1, 0, 0)\nResume\nReset\npoints: 10240 · t = 40.96 · PAUSED\ndrag to orbit · wheel to zoom","images":"attached"}
thinking
Points stayed at 10240 while camera orbited — pause works with controls usable. Now click Reset and verify trail clears and restarts from initial state.
Growth frozen (10240) while camera orbited. Now Reset:
{"action":"click","x":145,"y":88}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-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]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 · x₀=(0.1, 0, 0)\nResume\nReset\npoints: 0 · t = 0.00 · PAUSED\ndrag to orbit · wheel to zoom","images":"attached"}
thinking
Reset cleared trail (points: 0, t=0.00, head at initial state). Still paused — click Resume and verify growth restarts.
Reset cleared the trail to initial state. Resume to confirm growth restarts:
{"action":"click","x":67,"y":87}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-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x2a400174200]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 · x₀=(0.1, 0, 0)\nPause\nReset\npoints: 70 · t = 0.28\ndrag to orbit · wheel to zoom","images":"attached"}
thinking
All verified. Trail restarts from initial state after reset. Final file is in place. Report.
All behaviors verified. `index.html` is complete and self-contained (inline CSS/JS, local `three.min.js` script tag, no network). **Implementation summary:** - **Simulation:** RK4 integration of the Lorenz system (σ=10, ρ=28, β=8/3) from (0.1, 0, 0) at dt=0.004, 10 steps/frame — stable and smooth. - **Trail:** Preallocated 90,000-point `BufferGeometry` line strip with `setDrawRange` progressive reveal; when full, the oldest 25% is dropped via `copyWithin`, keeping storage bounded and the strip connected. Vertex colors map speed to hue (slow lobes = violet/blue, fast crossings = cyan/white) with additive blending for a luminous look, plus a glowing pulsing head marker. - **Camera:** Custom orbit controls (pointer drag → spherical theta/phi, wheel → radius clamped to [28, 400] so it can't enter the geometry), targeted at the attractor center (0,0,27) with an initial radius that frames both lobes. - **UI:** Pause/Resume and Reset buttons, live point/time readout, hint bar. **Verified in browser:** - Trajectory grows progressively (0 → 10k+ points) and forms the two-lobed butterfly. - Drag orbits; trail stayed connected and visible from the new angle. - Wheel zooms in/out smoothly. - Pause froze point count (10240) while orbiting still worked; Resume continued growth. - Reset cleared the trail to 0 points, t=0.00, head back at initial state; growth restarted from scratch. **Unverified:** long-run behavior past the 90k-point window (shift logic is straightforward but wasn't hit in the session) and touch input (pointer events should cover it).