Mandelbrot explorer · step-3.7-flash
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 a single-page web app that renders the Mandelbrot set on a full-screen canvas with: 1. Smooth color gradient 2. Click-and-drag to pan 3. Mouse-wheel to zoom All in one self-contained `index.html` file with inline CSS and JS, no external resources. Let me create a high-quality Mandelbrot renderer: Key features: - Full-screen canvas - Smooth coloring using the escape-time algorithm with normalized iteration count (renormalization) for smooth gradients - Pan via click and drag - Zoom via mouse wheel (zooming towards mouse position) - Use HSL color mapping for smooth gradient Technical details for smooth coloring: - Use the renormalization technique: `mu = iter + 1 - log(log(|z|)) / log(2)` - This gives continuous values instead of discrete bands Interaction: - Mouse drag pans the view - Mouse wheel zooms in/out centered on mouse position - Maybe add a double-click to reset view I'll optimize with requestAnimationFrame and only re-render when needed. Let me write this.
/workspace/index.html (5791 bytes)Successfully wrote 5791 bytes to /workspace/index.html
thinking
The user didn't ask a follow-up question, so I should provide a synopsis of what I just created.
`index.html` is written. Here's what's inside: - **Full-screen canvas** rendering the Mandelbrot set with a smooth HSL colour gradient. - **Smooth colouring** uses the standard renormalization formula (`mu = iter + 1 - log(log(|z|)) / log(2)`) so there are no ugly banding lines. - **Click and drag** to pan across the complex plane. - **Mouse wheel** to zoom in and out, centered on the cursor position. - **Double-click** resets to the default view. - **Cardioid/bulb check** skips obvious interior points for a small speedup. - **`requestAnimationFrame` batching** so interaction stays responsive. Open the file in any modern browser—no server or internet connection required.
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
Mandelbrot renders with smooth gradient colors; drag pans and wheel zooms correctly, no idle animation.
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.