Mandelbrot explorer · glm-5

Output generated Cost / run $0.0081 Runtime 52.5s

Prompt for this run

Render the Mandelbrot set with a smooth color gradient on a full-screen canvas, with click-and-drag to pan and mouse-wheel to zoom.

⛨ 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

modelglm-5

vendorZ.ai · GLM

harnesspi-agent

generated2026-07-22

METRICS

runtime52.5s

tokens in5.9k

tokens out3.1k

cached2.9k

cost / run$0.0081

Transcript · 4 messages

user

Render the Mandelbrot set with a smooth color gradient on a full-screen canvas, with click-and-drag to pan and mouse-wheel to zoom.

assistant

thinking

The user wants me to create a Mandelbrot set visualization with:
1. Full-screen canvas
2. Smooth color gradient
3. Click-and-drag to pan
4. Mouse-wheel to zoom

I'll create a single index.html file with all CSS and JS inline. Let me build this step by step:

1. HTML structure with a full-screen canvas
2. CSS to make it fill the viewport
3. JavaScript to:
   - Render the Mandelbrot set
   - Use smooth coloring (using the escape iteration count with fractional part for smooth gradients)
   - Handle mouse drag for panning
   - Handle mouse wheel for zooming

For smooth coloring in the Mandelbrot set, I'll use the "continuous coloring" technique which uses:
- The iteration count as a float (not just integer)
- A color palette based on the smooth iteration value

The formula for smooth iteration count:
smoothIteration = iteration + 1 - log(log(|z|)) / log(2)

Then I can use HSL or a custom gradient for coloring.

Let me write this out.

→ write /workspace/index.html (10971 bytes)

toolResult

Successfully wrote 10971 bytes to /workspace/index.html

assistant

thinking

I've created a complete Mandelbrot set visualization with all the requested features. Let me verify the file exists and is valid.

I've created a full Mandelbrot set visualization in `/workspace/index.html`. The app includes: **Features:** - **Full-screen canvas** - Fills the entire viewport with no margins or scrollbars - **Smooth color gradient** - Uses continuous coloring algorithm with a beautiful palette cycling through deep blue → cyan → green → yellow → orange → red → purple - **Click-and-drag panning** - Grab and drag to move around the fractal - **Mouse-wheel zooming** - Scroll to zoom in/out centered on mouse position - **Touch support** - Works on mobile with drag to pan and pinch-to-zoom **Technical details:** - Smooth coloring uses the escape iteration count with a fractional component: `smoothIter = iteration + 1 - log(log(|z|)) / log(2)` - Colors are interpolated between palette entries for extra smoothness - 500 max iterations for good detail - Zoom indicator displayed in top-right corner Open the file in a browser to explore the Mandelbrot set!