Lorenz attractor · qwen3.8-max
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.
thinking
Build a single index.html using three.min.js. Lorenz attractor trajectory (with glow), animation that draws over time, orbit drag camera (no CDN, so implement my own orbit controls — can't use OrbitControls. Write a simple custom drag-orbit + wheel zoom). Glow: additive blending, layered line trails, maybe points too. Simple: an afterimage-style trail line with fading segments, or a single line with vertex colors and additive blending, plus a bright head point. Writing it now.
{"command":"ls -la /tmp/ws"}total 592 drwxr-sr-x. 2 node node 26 Aug 3 23:53 . drwxrwsrwx. 3 root node 16 Aug 3 23:53 .. -rw-r--r--. 1 node node 603445 Aug 3 23:53 three.min.js
thinking
Create index.html: Lorenz integration (σ=10, ρ=28, β=8/3), precompute points step by step, display incrementally as time passes. Trail line with vertex colors (fading toward the tail), additive blending for the glow effect, plus a thicker additive pass. The head is drawn as a glowing sprite (canvas-generated radial gradient texture). Custom orbit controls: drag to rotate, wheel to zoom, touch support, with damping.
/tmp/ws/index.html (13342 bytes)Successfully wrote 13342 bytes to /tmp/ws/index.html
thinking
Verify basic sanity — e.g., a simple syntax check of the script with node. Let's extract the inline JS and run node --check on it.
{"command":"cd /tmp/ws && node -e \"\nconst html = require('fs').readFileSync('index.html','utf8');\nconst m = html.match(/<script>([\\s\\S]SYNTAX_OK -rw-r--r--. 1 node node 13346 Aug 3 23:54 index.html
thinking
One point: there's a leftover weird line `orbit.phiGoal = THREE.MathUtils ? orbit.phiGoal : orbit.phiGoal;` — it's harmless but sloppy, so delete it. Also, headMat's color calculation creates a new Color on every frame, so there's a bit of garbage being generated. Within acceptable range, but it can be easily simplified. Let's clean up these two points.
{"path":"/tmp/ws/index.html","edits":[{"oldText":" };\n orbit.phiGoal = THREE.MathUtils ? orbit.phiGoal : orbit.phiGoal; // (MathUtils maySuccessfully replaced 2 block(s) in /tmp/ws/index.html.
thinking
I need to look into this further. Let me check the details. (Thinking: re-checking the syntax.)
{"command":"cd /tmp/ws && node -e \"\nconst html = require('fs').readFileSync('index.html','utf8');\nconst m = html.match(/<script>([\\s\\S]OK index.html three.min.js
thinking
Done. Should I do a quick headless smoke test if needed? Probably no browser available. The syntax check passed, and the logic is straightforward Three.js. Let me wrap it up.
Done — `/tmp/ws/index.html` is a fully self-contained single-page app (only external dependency is the local `three.min.js` via plain `<script src>`, everything else inline, zero network requests). **What it does:** - **Lorenz system** — integrates σ=10, ρ=28, β=8/3 with RK4 (dt=0.004), warm-started 400 steps so the path lands on the attractor immediately. Axis swap puts the butterfly "upright." - **Draws over time** — ~140 points/second revealed via `setDrawRange` on a preallocated 30k-point buffer, then seamlessly restarts for an endless loop. Vertex colors drift through a blue→cyan→magenta hue ramp along the path. - **Glow effect** — layered additive-blended passes: a bright core line + a slightly scaled translucent halo pass + a pulsing radial-gradient sprite (procedurally generated on a canvas) as the glowing head, all against a dark starfield with exponential fog. No external textures. - **Orbit-drag camera** — custom lightweight orbit controls (no OrbitControls.js needed): drag to orbit, wheel to zoom, right-drag / two-finger to pan, pinch on touch, smooth damping on all axes, and gentle auto-rotation until the user first interacts. - **UI** — HUD with parameters and live point counter, plus Pause/Resume and Restart draw buttons. JS syntax verified with `node --check`; just open `index.html` in any browser with WebGL.
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
Lorenz attractor visualization draws slowly over time and responds to drag, wheel, and arrow/WASD keys with orbit changes.
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.