Lorenz attractor · qwen3.5-9b

Output generated Cost / run $0.0060 Runtime 217.3s

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.

⛨ sandboxed Open in new tab ↗

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

modelqwen3.5-9b

vendorQwen

harnesspi 0.87.1 · browser iteration

generated2026-10-07

METRICS

runtime217.3s

tokens in88k

tokens out7.8k

cached52k

cost / run$0.0060

Transcript · 29 messages

system

user

assistant

thinking

I need to build a 3D Lorenz attractor visualization using Three.js. Let me break down the requirements:

1. Lorenz system with sigma = 10, rho = 28, beta = 8/3, initial state (0.1, 0, 0)
2. Draw a luminous-looking, colored trajectory progressively
3. Keep trajectory storage bounded
4. Camera controls: drag to orbit, wheel to zoom (without entering geometry)
5. Pause/Resume and Reset functionality
6. Only use the core THREE library (no addons)

First, let me check what files are available in the current directory.

→ bash {"command":"ls -la"}

toolResult

total 604 drwx------ 3 node node 4096 Oct 7 05:00 . drwxrwxrwt 6 root root 4096 Oct 7 05:00 .. drwxr-xr-x 3 node node 4096 Oct 7 05:00 .home -rw-r--r-- 1 node node 603445 Oct 7 05:00 three.min.js

assistant

thinking

Good, I have three.min.js available. Now let me create the Lorenz attractor visualization. I need to:

1. Set up a Three.js scene with a camera and renderer
2. Implement the Lorenz system differential equations
3. Create a trajectory that gets drawn progressively
4. Implement camera controls (orbit and zoom)
5. Add Pause/Resume and Reset functionality

The Lorenz system equations are:
- dx/dt = sigma * (y - x)
- dy/dt = x * (rho - z) - y
- dz/dt = x * y - beta * z

With sigma = 10, rho = 28, beta = 8/3

For the visualization, I'll:
- Use a Line or LineSegments geometry to draw the trajectory
- Color the trajectory based on position (e.g., using HSV color mapping)
- Implement orbit controls manually (since we can't use OrbitControls addon)
- Implement zoom with mouse wheel
- Add Pause/Resume and Reset buttons

Let me write the code:

→ write index.html (14856 bytes)

toolResult

Successfully wrote to index.html

assistant

thinking

Now let me run the application in the browser to verify it works correctly.

Now let me run the application in the browser to verify it works:

→ bash {"command":"cd /tmp/job-z23f3A && python3 -m http.server 8080 &"}

toolResult

/bin/bash: line 1: python3: command not found

assistant

thinking

Let me try with python instead.

→ bash {"command":"cd /tmp/job-z23f3A && python -m http.server 8080 &"}

toolResult

/bin/bash: line 1: python: command not found

assistant

thinking

Let me check what's available for running a server.

→ bash {"command":"which node"}

toolResult

/usr/local/bin/node

assistant

thinking

Good, node is available. Let me use npx http-server or just use node to serve the file.

→ bash {"command":"cd /tmp/job-z23f3A && npx http-server -p 8080 -s &"}

toolResult

(no output)

assistant

thinking

Let me try a different approach - use node with a simple HTTP server.

→ bash

{"command":"cd /tmp/job-z23f3A && node -e \"\nconst http = require('http');\nconst fs = require('fs');\nconst path = require('path');\n\ncon

toolResult

node:events:487 throw er; // Unhandled 'error' event ^ Error: listen EADDRINUSE: address already in use :::8080 at Server.setupListenHandle [as _listen2] (node:net:2009:16) at listenInCluster (node:net:2066:12) at Server.listen (node:net:2171:7) at [eval]:17:8 at runScriptInThisContext (node:internal/vm:219:10) at node:internal/process/execution:451:12 at [eval]-wrapper:6:24 at runScriptInContext (node:internal/process/execution:449:60) at evalFunction (node:internal/process/execution:283:30) at evalTypeScript (node:internal/process/execution:295:3) Emitted 'error' event on Server instance at: at emitErrorNT (node:net:2045:8) at process.processTicksAndRejections (node:internal/process/task_queues:90:21) { code: 'EADDRINUSE', errno: -98, syscall: 'listen', address: '::', port: 8080 } Node.js v24.18.0

assistant

thinking

Port 8080 is already in use. Let me try a different port.

→ bash

{"command":"cd /tmp/job-z23f3A && node -e \"\nconst http = require('http');\nconst fs = require('fs');\nconst path = require('path');\n\ncon

toolResult

Server running at http://localhost:8081

assistant

thinking

Good, the server is running. Now let me open the browser and inspect the application.

→ bash {"command":"sleep 1 && curl -s http://localhost:8081/ | head -20"}

toolResult

/bin/bash: line 1: curl: command not found

assistant

thinking

Let me try wget or just use the browser tool directly.

→ bash {"command":"sleep 1 && wget -q -O - http://localhost:8081/ 2>/dev/null | head -20"}

toolResult

(no output)

assistant

thinking

Let me try a different approach - use the browser tool to inspect the page.

→ bash {"command":"sleep 2 && wget -q -O - http://localhost:8081/index.html 2>/dev/null | head -20"}

toolResult

(no output)

assistant

thinking

Let me check if wget is available.

→ bash {"command":"which wget"}

toolResult

(no output) Command exited with code 1

assistant

thinking

wget is not available. Let me try using the browser tool to inspect the page.

→ browser {"action":"reload"}

toolResult

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-0x383c0016f600] GL_INVALID_VALUE: glVertexAttribPointer: Vertex attribute size must be 1, 2, 3, or 4.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_VALUE: glVertexAttribPointer: Vertex attribute size must be 1, 2, 3, or 4.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer.","warning: [.WebGL-0x383c0016f600] GL_INVALID_OPERATION: glDrawArrays: An enabled vertex array has no buffer."],"dom":"Pause\nReset\nSpeed:\n0.1\nPoints:\n1000\nColor:\n0.5\nPoints: 1 Time: 0","images":"attached"}

assistant

thinking

The application is running but the 3D canvas is not visible - it's completely black. The UI controls are visible but the WebGL canvas isn't rendering. I need to fix the index.html file. The issue is likely with how I'm setting up the Three.js canvas and the WebGL context. Let me rewrite the file with proper canvas setup.

The application is running but the 3D canvas is not visible (completely black). The UI controls are visible but WebGL isn't rendering. Let me fix the index.html file with proper canvas setup: <tool_call> <|im_start|>write File: index.html Content: <!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> <title>3D Lorenz Attractor</title> <style> * { margin: 0; padding: 0; box-sizing: border-box; } body { font-family: Arial, sans-serif; background: #000; color: #fff; overflow: hidden; } #controls { position: absolute; top: 10px; left: 10px; z-index: 100; background: rgba(0, 0, 0, 0.7); padding: 15px; border-radius: 8px; min-width: 200px; } .control-group { margin-bottom: 12px; } .control-group:last-child { margin-bottom: 0; } .control-group label { display: block; margin-bottom: 4px; font-size: 14px; } .control-group input[type="range"] { width: 100px; } .control-group span { margin-left: 10px; font-size: 12px; color: #aaa; } button { background: #333; color: #fff; border: 1px solid #555; padding: 8px 16px; margin: 5px 0; cursor: pointer; border-radius: 4px; font-size: 14px; } button:hover { background: #555; } button:active { background: #666; } #canvas-container { width: 100vw; height: 100vh; position: absolute; top: 0; left: 0; } #info { position: absolute; bottom: 10px; left: 10px; font-size: 12px; color: #888; } .instructions { font-size: 11px; color: #666; margin-top: 10px; padding-top: 10px; border-top: 1px solid #444; } </style> </head> <body> <div id="controls"> <button id="pauseBtn">Pause</button> <button id="resetBtn">Reset</button> <div class="control-group"> <label>Speed: <span id="speedValue">0.1</span></label> <input type="range" id="speed" min="0" max="1" step="0.01" value="0.1"> </div> <div class="control-group"> <label>Points: <span id="pointsValue">1000</span></label> <input type="range" id="points" min="10" max="5000" step="10" value="1000"> </div> <div class="control-group"> <label>Color: <span id="colorValue">0.5</span></label> <input type="range" id="color" min="0" max="1" step="0.01" value="0.5"> </div> <div class="instructions"> Drag to orbit camera • Scroll to zoom </div> </div> <div id="canvas-container"></div> <div id="info">Points: <span id="pointCount">0</span> | Time: <span id="timeDisplay">0</span></div> <script src="three.min.js"></script> <script> // Lorenz system parameters const SIGMA = 10; const RHO = 28; const BETA = 8/3; // Simulation state let x = 0.1, y = 0, z = 0; let time = 0; let isPaused = false; let speed = 0.1; let maxPoints = 1000; let colorIntensity = 0.5; let points = []; let animationId = null; // Camera orbit state let cameraDistance = 35; let cameraTheta = Math.PI / 4; let cameraPhi = Math.PI / 4; let isDragging = false; let lastMouseX = 0; let lastMouseY = 0; let lastTime = 0; // Scene setup const scene = new THREE.Scene(); scene.background = new THREE.Color(0x000000); // Camera const camera = new THREE.PerspectiveCamera(75, window.innerWidth / window.innerHeight, 0.1, 1000); const renderer = new THREE.WebGLRenderer({ antialias: true }); renderer.setSize(window.innerWidth, window.innerHeight); document.getElementById('canvas-container').appendChild(renderer.domElement); // Orbit controls (custom implementation) function updateCamera() { const radius = cameraDistance; const theta = cameraTheta; const phi = cameraPhi; const cx = radius * Math.sin(phi) * Math.cos(theta); const cy = radius * Math.cos(phi); const cz = radius * Math.sin(phi) * Math.sin(theta); camera.position.set(cx, cy, cz); camera.lookAt(0, 0, 0); } function onMouseDown(e) { isDragging = true; lastMouseX = e.clientX; lastMouseY = e.clientY; } function onMouseMove(e) { if (!isDragging) return; const deltaX = e.clientX - lastMouseX; const deltaY = e.clientY - lastMouseY; lastMouseX = e.clientX; lastMouseY = e.clientY; cameraTheta += deltaX * 0.01; cameraPhi += deltaY * 0.01; // Clamp phi to avoid flipping cameraPhi = Math.max(0.1, Math.min(Math.PI - 0.1, cameraPhi)); updateCamera(); } function onMouseUp() { isDragging = false; } function onWheel(e) { const delta = -e.deltaY * 0.01; cameraDistance = Math.max(10, Math.min(100, cameraDistance + delta)); updateCamera(); } document.addEventListener('mousedown', onMouseDown); document.addEventListener('mousemove', onMouseMove); document.addEventListener('mouseup', onMouseUp); document.addEventListener('wheel', onWheel); // Create trajectory mesh function createTrajectory() { const geometry = new THREE.BufferGeometry(); const positions = []; const colors = []; for (let i = 0; i < points.length; i++) { const p = points[i]; positions.push(p.x, p.y, p.z); // Color based on position and time const t = (time / 100) % 1; const hue = (t + (p.x + p.y + p.z) / 10) * colorIntensity; const color = new THREE.Color(hue); colors.push(color.r, color.g, color.b); } geometry.setAttribute('position', new THREE.Float32BufferAttribute(positions, 3)); geometry.setAttribute('color', new THREE.Float32BufferAttribute(colors, 3)); const material = new THREE.LineBasicMaterial({ vertexColors: true, linewidth: 1, opacity: 0.8, transparent: true }); const line = new THREE.LineSegments(geometry, material); line.frustumCulled = false; scene.add(line); return line; } // Lorenz system update function updateLorenz() { const dt = speed * 0.01; const dx = SIGMA * (y - x) * dt; const dy = (x * (RHO - z) - y) * dt; const dz = (x * y - BETA * z) * dt; x += dx; y += dy; z += dz; time += dt * 100; points.push({ x, y, z }); // Limit points if (points.length > maxPoints) { points.shift(); } } // Animation loop function animate() { const now = performance.now(); if (!isPaused) { if (now - lastTime > 16) { updateLorenz(); lastTime = now; } } updateCamera(); renderer.render(scene, camera); animationId = requestAnimationFrame(animate); } // UI controls document.getElementById('pauseBtn').addEventListener('click', () => { isPaused = !isPaused; document.getElementById('pauseBtn').textContent = isPaused ? 'Resume' : 'Pause'; }); document.getElementById('resetBtn').addEventListener('click', () => { x = 0.1; y = 0; z = 0; time = 0; points = [{ x, y, z }]; document.getElementById('pointCount').textContent = points.length; document.getElementById('timeDisplay').textContent = time.toFixed(0); }); document.getElementById('speed').addEventListener('input', (e) => { speed = parseFloat(e.target.value); document.getElementById('speedValue').textContent = speed.toFixed(2); }); document.getElementById('points').addEventListener('input', (e) => { maxPoints = parseInt(e.target.value); document.getElementById('pointsValue').textContent = maxPoints; }); document.getElementById('color').addEventListener('input', (e) => { colorIntensity = parseFloat(e.target.value); document.getElementById('colorValue').textContent = colorIntensity.toFixed(2); }); // Initialize points = [{ x, y, z }]; document.getElementById('pointCount').textContent = points.length; document.getElementById('timeDisplay').textContent = time.toFixed(0); const trajectory = createTrajectory(); animate(); // Handle window resize window.addEventListener('resize', () => { camera.aspect = window.innerWidth / window.innerHeight; camera.updateProjectionMatrix(); renderer.setSize(window.innerWidth, window.innerHeight); }); </script> </body> </html> File type: html