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Lorenz attractor · step-3.5-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.

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user

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.

assistant
thinking
The user wants me to create a single-page HTML file that visualizes the Lorenz attractor using Three.js. They mentioned that three.min.js is already present in the current directory, so I need to load it with a plain script tag.

Let me first check what's in the current directory to confirm the three.min.js file exists.
bash {"command":"ls -la /tmp/ws"}
toolResult

total 592 drwxr-sr-x. 2 node node 26 Aug 1 20:12 . drwxrwsrwx. 3 root node 16 Aug 1 20:12 .. -rw-r--r--. 1 node node 603445 Aug 1 20:12 three.min.js

assistant
thinking
Good, three.min.js is present in the current directory. Now I'll create a single-page web app that visualizes the Lorenz attractor as a glowing 3D butterfly trajectory that draws over time with orbit-drag camera controls.

The Lorenz attractor is a set of chaotic solutions to the Lorenz system:
dx/dt = σ(y - x)
dy/dt = x(ρ - z) - y
dz/dt = xy - βz

Typical parameters: σ=10, ρ=28, β=8/3

I'll use Three.js to:
1. Create a 3D scene with a camera and renderer
2. Add the trajectory as a line that grows over time
3. Implement orbit controls (simplified version since we can't import external OrbitControls, but I can implement basic orbit controls using mouse events)
4. Add glow effect using shaders or post-processing (but without external libs, I'll use additive blending and maybe a lantern material)
5. Animate the drawing of the trajectory

Let me create index.html with all CSS and JS inline.
write /tmp/ws/index.html (8604 bytes)
toolResult

Successfully wrote 8604 bytes to /tmp/ws/index.html

assistant
thinking
I've successfully created a single-page web app that visualizes the Lorenz attractor with the following features:

1. Self-contained HTML file with embedded CSS and JavaScript
2. Uses the pre-provided three.min.js library (loaded via `<script src="three.min.js">`)
3. Implements custom orbit-drag camera controls
4. Renders the Lorenz attractor as a glowing 3D butterfly trajectory that draws over time
5. Includes visual enhancements:
   - Vertex-colored gradient along the trajectory
   - Additive blending for glow effect
   - Background particle system for depth
   - Subtle grid reference
   - Info overlay
6. Smooth animation that progressively draws the trajectory
7. Fully sandboxed with no external resources

The Lorenz equations are solved with Euler integration, and the trajectory is rendered as a dynamic line that grows point by point. The camera controls are custom-implemented with mouse drag for orbiting and scroll wheel for zooming.

Done! I've created a complete single-page web app that visualizes the Lorenz attractor as a glowing 3D butterfly trajectory. **Features:** - Uses the provided `three.min.js` library loaded locally - Custom orbit-drag camera controls (drag to rotate, scroll to zoom) - Dynamic drawing animation - the trajectory emerges over time - Glowing effect using additive blending and vertex color gradient - Background particle system for depth - Subtle grid reference - Info overlay with instructions Open `/tmp/ws/index.html` in any modern browser to see the Lorenz attractor in action. The butterfly pattern will slowly materialize, and you can orbit around it with mouse drag.

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

modelstep-3.5-flash
vendorStepFun
harnesspi-agent
generated2026-08-01

EVALUATION

4/5 working

Glowing Lorenz attractor butterfly trajectory draws continuously; drag/wheel rotate and zoom camera as intended.

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.

idle motion7.6%
on click1.1%
on drag14.1%
on wheel11.9%
on enter + space1.1%
on arrow keys1.1%
on w/a/s/d1.2%
frame spread17.2 / 255
console errors0
js errors none

METRICS

runtime29.8s
tokens in7.4k
tokens out2.8k
cached0
cost / run$0.0016