Lorenz attractor · llama-4-scout
Using the pre-provided three.min.js (global THREE), visualize the Lorenz attractor as a glowing 3D butterfly trajectory that draws over time, with orbit-drag camera controls.
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transcript · 2 messages
Using the pre-provided three.min.js (global THREE), visualize the Lorenz attractor as a glowing 3D butterfly trajectory that draws over time, with orbit-drag camera controls.
a single-page web app that visualizes the Lorenz attractor as a glowing 3D butterfly trajectory with orbit-drag camera controls, we will first need to load the `three.min.js` library and then write the necessary HTML, CSS, and JavaScript code. Given that `three.min.js` is already present in the current directory, we can start by creating an `index.html` file. ### Step 1: Create the Basic HTML Structure We will use the `write` function to create the `index.html` file. The content of `index.html` will include the `three.min.js` script, and our custom JavaScript and CSS for the Lorenz attractor visualization. ```python [ write(path="index.html", content="<html><head><title>Lorenz Attractor</title><style>body { margin: 0; }</style></head><body><script src='three.min.js'></script><script>"), write(path="index.html", content="let scene, camera, renderer, points;const LorenzParams = { sigma: 10, rho: 28, beta: 8/3, dt: 0.01, x: 0.1, y: 0, z: 0.1, history: []};function init() { scene = new THREE.Scene(); camera = new THREE.PerspectiveCamera(75, window.innerWidth / window.innerHeight, 0.1, 1000); camera.position.z = 5; renderer = new THREE.WebGLRenderer({antialias: true}); renderer.setSize(window.innerWidth, window.innerHeight); document.body.appendChild(renderer.domElement); const geometry = new THREE.BufferGeometry(); const material = new THREE.LineBasicMaterial({color: 0xffffff}); points = new THREE.Line(geometry, material); scene.add(points); window.addEventListener('mousemove', onMouseMove, false); window.addEventListener('mouseup', onMouseUp, false); animate();}function animate() { requestAnimationFrame(animate); LorenzParams.x += LorenzParams.sigma * (LorenzParams.y - LorenzParams.x) * LorenzParams.dt; LorenzParams.y += (LorenzParams.x * (LorenzParams.rho - LorenzParams.z) - LorenzParams.y) * LorenzParams.dt; LorenzParams.z += (LorenzParams.x * LorenzParams.y - LorenzParams.beta * LorenzParams.z) * LorenzParams.dt; LorenzParams.history.push(new THREE.Vector3(LorenzParams.x, LorenzParams.y, LorenzParams.z)); if (LorenzParams.history.length > 10000) LorenzParams.history.shift(); const positions = new Float32Array(LorenzParams.history.length * 3); for (let i = 0; i < LorenzParams.history.length; i++) { positions[i * 3] = LorenzParams.history[i].x * 0.1; positions[i * 3 + 1] = LorenzParams.history[i].y * 0.1; positions[i * 3 + 2] = LorenzParams.history[i].z * 0.1; } const geometry = new THREE.BufferGeometry(); geometry.setAttribute('position', new THREE.BufferAttribute(positions, 3)); points.geometry.dispose(); points.geometry = geometry; renderer.render(scene, camera);}let raycaster = new THREE.Raycaster();let mouse = new THREE.Vector2();let isDragging = false;let previousMousePosition = {x: 0, y: 0};function onMouseMove(event) { if (isDragging) { mouse.x = (event.clientX / window.innerWidth) * 2 - 1; mouse.y = -(event.clientY / window.innerHeight) * 2 + 1; raycaster.setFromCamera(mouse, camera); const intersects = raycaster.intersectObjects([points]); if (intersects.length > 0) { const targetPosition = new THREE.Vector3(); targetPosition.copy(intersects[0].point); camera.position.set(targetPosition.x + 5, targetPosition.y, targetPosition.z); } } }function onMouseDown(event) { isDragging = true; previousMousePosition = {x: event.clientX, y: event.clientY};}function onMouseUp(event) { isDragging = false;}document.addEventListener('mousedown', onMouseDown, false);init();</script></body></html>"), ] ```
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