Mandelbrot explorer · hy3-preview
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 · 6 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: 1. Renders the Mandelbrot set with smooth color gradient 2. Full-screen canvas 3. Click-and-drag to pan 4. Mouse-wheel to zoom 5. Everything in one index.html file with no external resources I need to create a self-contained HTML file with: - CSS for full-screen canvas - JavaScript for: - Canvas setup and rendering - Mandelbrot set calculation with smooth coloring - Pan functionality (mousedown/mousemove/mouseup) - Zoom functionality (wheel event) - Color gradient computation Let me write this out. The Mandelbrot set is defined by z = z² + c, where c is the complex coordinate of the pixel. For smooth coloring, I'll use the escape-time algorithm with a logarithmic scale to avoid banding. For the color gradient, I'll create a smooth gradient that cycles through colors. A common approach is to use a palette or mathematical functions to generate RGB values based on the iteration count. For pan and zoom: - Pan: track mousedown, mousemove, mouseup to calculate offset - Zoom: use wheel event, zoom towards mouse cursor position Let me create the complete file.
I'll create a self-contained index.html file with an interactive Mandelbrot set renderer.
/workspace/index.html (8607 bytes)Successfully wrote 8607 bytes to /workspace/index.html
thinking
The user asked me to render the Mandelbrot set with smooth color gradient on a full-screen canvas, with click-and-drag to pan and mouse-wheel to zoom. I've created the index.html file with all the features requested: 1. ✅ Single-page web app in one self-contained index.html file 2. ✅ CSS in a <style> tag 3. ✅ JS in a <script> tag 4. ✅ Inline - no separate .css/.js files 5. ✅ No external resources, CDNs, or network requests 6. ✅ Mandelbrot set rendering 7. ✅ Smooth color gradient (using logarithmic interpolation for smooth iteration count and sine waves for color) 8. ✅ Full-screen canvas 9. ✅ Click-and-drag to pan 10. ✅ Mouse-wheel to zoom The implementation includes: - Smooth coloring using the escape-time algorithm with logarithmic interpolation to avoid banding - Color gradient using sine waves to create smooth color transitions - Pan functionality with mouse drag - Zoom functionality with mouse wheel (zooming towards cursor position) - Touch support for mobile devices - Dynamic adjustment of max iterations based on zoom level - Chunked rendering to keep the UI responsive - Info display showing current position, zoom level, and range The file has been created successfully. Let me verify it exists and maybe check its contents briefly.
The file has been created. Let me verify it's properly written and check the key features are in place.
{"command":"wc -l /workspace/index.html && echo \"---\" && head -50 /workspace/index.html"}294 /workspace/index.html --- <!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> <title>Mandelbrot Set</title> <style> * { margin: 0; padding: 0; box-sizing: border-box; } body { overflow: hidden; background: #000; } canvas { display: block; cursor: grab; } canvas:active { cursor: grabbing; } #info { position: fixed; top: 10px; left: 10px; color: white; font-family: monospace; font-size: 14px; background: rgba(0,0,0,0.7); padding: 8px 12px; border-radius: 4px; pointer-events: none; z-index: 10; } </style> </head> <body> <div id="info">Loading...</div> <canvas id="canvas"></canvas> <script> const canvas = document.getElementById('canvas'); const ctx = canvas.getContext('2d'); const info = document.getElementById('info'); let width, height; let centerX = -0.5; let centerY = 0; let zoom = 1; let maxIter = 256; let isDragging = false; let lastX = 0; let lastY = 0; // Color palette using smooth gradient function getColor(iter, maxIter, zx, zy) { if (iter === maxIter) return [0, 0, 0]; // Smooth iteration count using logarithmic interpolation
thinking
The user hasn't asked me anything new - they just sent a message with thinking tags but no actual content. I should wait for their actual request or question. The file has been created successfully with all the requested features: 1. ✅ Single-page web app in one self-contained index.html file 2. ✅ CSS in a <style> tag 3. ✅ JS in a <script> tag 4. ✅ Inline - no separate .css/.js files 5. ✅ No external resources, CDNs or network requests 6. ✅ Mandelbrot set rendering 7. ✅ Smooth color gradient (using smooth iteration count with logarithmic interpolation) 8. ✅ Full-screen canvas 9. ✅ Click-and-drag to pan 10. ✅ Mouse-wheel to zoom 11. ✅ Touch support for mobile The implementation includes: - Smooth coloring algorithm using the escape-time algorithm with smooth iteration count - Logarithmic interpolation to avoid color banding - Cosine-based color gradient for smooth transitions - Pan functionality with mouse drag - Zoom functionality with mouse wheel (zoom towards cursor) - Touch support for mobile (pinch to zoom, drag to pan) - Dynamic iteration count adjustment based on zoom level - Info overlay showing current position and zoom level - Chunked rendering for better responsiveness The file is complete and ready to use. I should just confirm this to the user.
The Mandelbrot set renderer has been created successfully in `/workspace/index.html`. Here's what's included: **Features:** - **Smooth color gradient** - Uses smooth iteration counting with logarithmic interpolation to avoid banding, and cosine-based color waves for beautiful gradients - **Full-screen canvas** - Automatically resizes to fill the browser window - **Click-and-drag to pan** - Left-click and drag to move around the set - **Mouse-wheel to zoom** - Scroll to zoom in/out, centered on the mouse cursor position - **Touch support** - Pinch to zoom and drag to pan on mobile devices - **Dynamic iteration adjustment** - Automatically increases max iterations at higher zoom levels for detail - **Info overlay** - Shows current coordinates, zoom level, and range **Technical details:** - Chunked rendering to keep the UI responsive during computation - Escape-time algorithm with smooth coloring - Zoom range from 1x to deep zoom levels - Maximum 2048 iterations at deep zoom Open `index.html` 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 rendered with color gradient; drag pans and wheel zooms correctly, though color palette (red/black/blue) looks unappealing.
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.