Mandelbrot explorer · hy3
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 single-page web app that: 1. Renders the Mandelbrot set with a smooth color gradient 2. Uses a full-screen canvas 3. Supports click-and-drag to pan 4. Supports mouse-wheel to zoom 5. Everything in one self-contained index.html file with no external resources Let me create this step by step. I'll need to: 1. Create an HTML file with a full-screen canvas 2. Implement the Mandelbrot set rendering with smooth coloring 3. Add pan and zoom functionality 4. Use a smooth color gradient The Mandelbrot set is defined by z = z² + c, where z starts at 0 and c is the complex coordinate of each pixel. The iteration continues until |z| > 2 or max iterations is reached. For smooth coloring, I'll use the escape-time algorithm with logarithmic scaling to avoid banding. Let me write the complete index.html file.
I'll create a self-contained index.html file with an interactive Mandelbrot set renderer with smooth coloring, pan, and zoom functionality.
/workspace/index.html (8903 bytes)Successfully wrote 8903 bytes to /workspace/index.html
thinking
The user requested a single-page web app that renders the Mandelbrot set with: 1. Smooth color gradient on a full-screen canvas 2. Click-and-drag to pan 3. Mouse-wheel to zoom I've created the index.html file with all the required functionality. Let me verify the file was created correctly and summarize what was built. The file includes: - Full-screen canvas that resizes with the window - Smooth coloring algorithm using normalized iteration count for smooth gradients - Click-and-drag panning - Mouse wheel zoom (towards cursor position) - Touch support for mobile devices - Info overlay showing zoom level, center coordinates, and iteration count - Keyboard shortcut 'R' to reset view - Optimized rendering with cardioid/bulb checks - Color palette using cosine functions for rich gradients The code is self-contained with no external resources, all in one index.html file as
I've created a fully interactive Mandelbrot set renderer in `/workspace/index.html`. Here's what it includes: **Features:** - **Full-screen canvas** that automatically resizes with the window - **Smooth color gradient** using normalized iteration count algorithm (eliminates banding) - **Click-and-drag to pan** around the complex plane - **Mouse-wheel to zoom** (zooms towards cursor position) - **Touch support** for mobile devices (drag to pan, pinch to zoom) - **Info overlay** showing zoom level, center coordinates, and iteration count - **Auto-adjusting iterations** - more iterations at higher zoom levels for detail - **Optimizations** - cardioid/bulb checks to skip unnecessary calculations - **Press 'R'** to reset to the default view **Technical details:** - Smooth coloring formula: `n + 1 - log(log(|z|)) / log(2)` prevents banding - Cosine-based color palette generates vibrant, smooth gradients - Zoom range from 1x to effectively infinite (limited by floating point precision) - Rendering is done pixel-by-pixel using ImageData for performance 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
Mandelbrot set with smooth gradient colors renders correctly; drag pans and wheel zooms as expected, no self-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.