Lorenz attractor · deepseek-v4-flash
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.
transcript · 12 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.
I'll build a single-page web app visualizing the Lorenz attractor as a 3D butterfly trajectory with a glowing trail that draws over time, with OrbitControls loaded from the local file. Let me first check what's available in the workspace.
{"command":"ls /workspace/"}three.min.js
thinking
There's just `three.min.js` in the workspace. I need to check if OrbitControls are included in this build or if I need to implement them manually. Let me check the three.min.js version and see what's available. Actually, looking at the user's instructions: "These library file(s) are ALREADY present in the current directory — load each with a plain <script src="NAME"></script> using its exact filename (never a CDN or URL), then build on top of it: three.min.js." So the user only mentions three.min.js. There's no OrbitControls file. I'll need to either: 1. Check if OrbitControls is bundled in this three.min.js 2. Implement custom orbit controls Let me check the three.min.js file to see what version it is and if it has OrbitControls.
{"command":"head -c 2000 /workspace/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=1022,E=1023,A=1026,L=1027,R=33776,C=33777,P=33778,D=33779,I=35840,N=35841,B=35842,z=35843,F=37492,O=37496,H=2300,G=2301,U=2302,k=2400,V=2401,W=2402,j=2500,q=2501,X=3e3,Y=3001,Z=3007,J=3002,Q=3004,K=3005,$=3006,tt=7680,et=35044,nt=35048,it="300 es";class rt{addEventListener(t,e){void 0===this._listeners&&(this._listeners={});const n=this._listeners;void 0===n[t]&&(n[t]=[]),-1===n[t].indexOf(e)&&n[t].push(e)}hasEventListener(t,e){if(void 0===this._listeners)return!1;const n=this._listeners;return void 0!==n[t]&&-1!==n[t].indexOf(e)}removeEventListener(t,e){if(void 0===this._listeners)return;const n=this._listeners[t];if(void 0!==n){const t=n.indexOf(e);-1!==t&&n.splice(t,1)}}dispatchEvent(t){if(void 0===this._listeners)return;const e=this._listeners[t.type];if(void 0!==e){t.target=this;const n=e.slice(0);for(let e=0,i=n.length;e<i;e++)n[e].call(this,t);t.target=null}}}const st=[];for(let t=0;t<256;t++)st[t]=(t<16?"0":"")+t.toString(16);let at=1234567;const ot=Math.PI/180,lt=180/Math.PI;function ct(){const t=4294967295*Math.random()|0,e=4294967295*Math.random()|0,n=4294967295*Math.random()|0,i=4294967295*Math.random()|0;return(st[255&t]+st[t>>8&255]+st[t>>16&255]+st[t>>24&255]+"-"+st[255&e]+st[e>>8&255]+"-"+st[e>>16&15|64]+st[e>>24&255]+"-"+st[63&n|128]+st[n>>8&255]+"-"+st[n>>16&255]+st[n>>24&255]+st[255&i]+st[i>>8&255]+st[i>>16&255]+st[i>>24&255]).toUpperCase()}function ht(t,e,n){return Math.max(e,Math.min(n,t))}function ut(t,e){return(t%e+e)%e}function dt(t,e,n){return(1-n)*t+n*e
thinking
This is three.js r128 (I can see `const e="128"`). Let me check if OrbitControls is bundled or if I need to implement it myself. Let me search for "OrbitControls" in the file.
{"command":"grep -o 'OrbitControls' /workspace/three.min.js | wc -l"}0
thinking
No OrbitControls bundled. I'll need to implement custom orbit controls. Let me implement a simple orbit-drag camera control system from scratch. Let me build the full page with: 1. Three.js scene 2. Custom orbit controls (drag to rotate, scroll to zoom) 3. Lorenz attractor: σ=10, ρ=28, β=8/3 4. Glowing butterfly trajectory with a trail that draws over time 5. Post-processing glow effect or use additive blending with sprites Since I can't use external resources, I'll create the glow effect using: - Points with custom size attenuation and additive blending - Or a trail of small spheres with varying opacity Let me design the Lorenz attractor first. The Lorenz system: dx/dt = σ(y - x) dy/dt = x(ρ - z) - y dz/dt = xy - βz With σ=10, ρ=28, β=8/3, and initial conditions like (1, 1, 1). For the "butterfly" shape, the Lorenz attractor already produces a butterfly-like shape when viewed from the right angle. For the glowing effect, I'll use: - Points with additive blending (THREE.AdditiveBlending) - A gradient of colors (blue -> cyan -> yellow -> red) - Size attenuation - A trail of points that grows over time For orbit controls, I'll implement a simple drag-to-rotate with mouse events. Let me write the complete index.html now.
No OrbitControls in this build. I'll implement custom orbit controls from scratch. Let me build the complete visualization.
/workspace/index.html (10075 bytes)Successfully wrote 10075 bytes to /workspace/index.html
thinking
Let me verify the file exists and test it with a quick check.
{"command":"ls -la /workspace/index.html /workspace/three.min.js && wc -c /workspace/index.html"}-rw-r--r-- 1 node node 10812 Jul 8 00:57 /workspace/index.html -rw-r--r-- 1 node node 603445 Jul 8 00:56 /workspace/three.min.js 10812 /workspace/index.html
The file is ready. Here's what `index.html` builds: **Lorenz Attractor — Glowing Butterfly 3D Trajectory** - **Three.js** (r128, local `three.min.js`) — no CDN dependencies - **Custom orbit controls** — drag to rotate, scroll to zoom, with touch support - **Lorenz system** (`σ=10, ρ=28, β=8/3`) — the classic butterfly-shaped strange attractor, integrated with `dt=0.006` - **Glowing trail** — up to 30,000 points rendered with `THREE.AdditiveBlending`, a blue→cyan→yellow→red color gradient, and `sizeAttenuation` for depth feel - **Draws over time** — points accumulate frame by frame at a steady rate (8 per tick, 60 ticks/sec), shifting the buffer once full so the butterfly keeps tracing - **Atmosphere** — a subtle fog, 2000 background stars, and a dark `#000005` scene background - **Step counter** — shows total steps computed in the top-left corner
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
EVALUATION
Glowing blue Lorenz attractor butterfly draws over time; drag rotates camera and wheel zooms extremely far in.
Vision grade · anthropic/claude-sonnet-5
MEASUREMENTS
Raw readings from the capture, not a verdict — the grade above is the only judgement. Percentages are how much of the screen changed; the measure under-reports sparse motion on a dark background.