Mandelbrot explorer · glm-4.7
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 application that renders the Mandelbrot set with the following features: 1. Full-screen canvas 2. Smooth color gradient 3. Click-and-drag to pan 4. Mouse-wheel to zoom I need to create this as a single index.html file with inline CSS and JavaScript, no external resources or CDNs. Let me plan the implementation: 1. HTML: Just a canvas element that fills the screen 2. CSS: Make the canvas full-screen, remove scrollbars 3. JavaScript: - Set up canvas context - Handle resize events - Implement Mandelbrot rendering algorithm - Create smooth color gradients - Implement click-and-drag panning - Implement mouse-wheel zooming For the Mandelbrot set: - The formula is z = z² + c - c is the complex number corresponding to each pixel - We iterate until |z| > 2 or max iterations reached - Color based on iteration count For smooth coloring, I'll use a technique like renormalization or smooth iteration count: - Use the formula: smooth_iter = iteration + 1 - log(log(|z|)) / log(2) For colors, I'll create a smooth gradient using HSL or a custom palette. For panning and zooming: - Track mouse down/up/move events - Track wheel events - Maintain offset (pan) and scale (zoom) state Let me write this code:
I'll create a full-screen Mandelbrot set renderer with smooth gradients, panning, and zooming. Let me build this single-file web app:
index.html (12367 bytes)Successfully wrote 12367 bytes to index.html
thinking
I've created a complete single-page Mandelbrot set renderer with all the requested features: 1. Full-screen canvas - The canvas fills the entire viewport 2. Smooth color gradient - I implemented smooth coloring using renormalization technique and a multi-color palette 3. Click-and-drag to pan - Mouse drag events update the center coordinates 4. Mouse-wheel to zoom - Scroll events adjust zoom level while keeping the mouse position fixed The implementation includes: - Pre-computed color palette for performance - Smooth iteration count calculation using log-log renormalization - Linear interpolation between palette colors for smooth gradients - Touch support for mobile devices - Reset view with 'r' key - Info display showing center coordinates and zoom level - Instructions at the bottom - Optimized using Uint8ClampedArray and direct pixel manipulation The file is completely self-contained with inline CSS and JavaScript, no external resources or network requests.
Done! I've created a complete Mandelbrot set explorer in `index.html` with: **Features:** - **Full-screen canvas** that adapts to window size - **Smooth color gradient** using renormalization technique (log-log smoothing) for beautiful color transitions - **Click-and-drag panning** - drag anywhere on the canvas to move around the fractal - **Mouse-wheel zooming** - scroll up/down to zoom in/out (zoom is centered on mouse position) - **Touch support** for mobile devices - **Info display** showing current center coordinates, zoom level, and iteration count - **Reset** - press 'r' to reset to the default view **Technical details:** - Pre-computed color palette with smooth multi-color gradient - Direct pixel manipulation using `Uint8ClampedArray` for performance - 512 max iterations for detailed rendering - Smooth iteration count formula: `iteration + 1 - log(log(|z|)) / log(2)` - Linear interpolation between palette colors for ultra-smooth gradients - Zoom limited between 0.5x and 1e12x to prevent floating-point precision issues The app runs completely offline with no external dependencies - just open `index.html` in any modern browser!
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 blue gradient; drag pans and wheel zooms correctly, but color gradient is dull/mostly black and dark blue.
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.