Mandelbrot explorer · glm-5
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.
transcript · 4 messages
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.
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.
/workspace/index.html (10971 bytes)Successfully wrote 10971 bytes to /workspace/index.html
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!
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
Smooth-colored Mandelbrot renders correctly; drag pans and wheel zooms as expected, keyboard input has no effect (not required).
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.